The probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4.
How to find the probability of getting one even and one odd number?To calculate the probability of getting one even and one odd number, we can use the following approach:
There are three possible even numbers on each die (2, 4, and 6) and three possible odd numbers (1, 3, and 5).To get one even and one odd number, we need to choose one even number and one odd number from each die.The number of ways to choose one even number from the first die is 3, and the number of ways to choose one odd number from the second die is also 3.Therefore, the total number of ways to get one even and one odd number is 3 × 3 = 9.The probability of getting one even and one odd number is therefore 9/36 or 1/4 (since there are 36 possible outcomes in total).So the probability of getting one even and one odd number when rolling two six-sided, fair dice is 1/4 or 0.25.
Learn more about probability
brainly.com/question/30034780
#SPJ11
need help! please give example if can
The two statements are;
The area of sector 1 is 20n² + 15n square meters
The total distance around the garden is 20n + 2 meters
Option A and C
How to determine the valueThe formula for the area of a rectangle is expressed as;
A = lw
Such that the parameters are;
A is the area of the rectangle l is the length of the rectanglew is the width of the rectangleFor the first sector, we have that;
Length = 4n + 3
Width = 6n - 2 - 5n = n - 2
Substitute the values
Area of sector 1 = (4n + 3)(5n)
expand the expression
Area of sector 1 = 20n² + 15n square meters
Area for the sector 2
Area = (3n - 3)(n -2)
expand the bracket
Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6
Learn more about rectangles at: https://brainly.com/question/25292087
#SPJ1
A paper distributor offers discounts to individuals who buy in quantity. They offer a 10 percent discount for orders of 50 -100 boxes of paper, a 20 percent discount for orders of 100 - 200, and a 30 percent discount for orders of 200 boxes or more. If Lee placed an order of 140 boxes (each box is $2.50), what would his discount and final price be?
His discount and final price be $280 for his order of 140 boxes.
What is Discount ?A discount is a drop in a product's or service's price.
It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.
Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.
For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.
In marketing and sales, discounts are frequently used to draw customers and boost sales volume.
What percentage is it?The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.
In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."
This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."
Exampe of Percentage :-
10% = 10/100 ( = 1/10 (or) 0.1)
25% = 25/100 ( = 1/4 (or) 0.25)
According to question
Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.
Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:
140 * $2.50 = $350
The 20% Lee discount is determined as follows:
20% * $350 = $70
Lee's discount is therefore $70, and his adjusted price is as follows:
$350 - $70 = $280
Therefore, Lee will ultimately pay $280 for his order of 140 cartons.
To learn more about percentage visit:
https://brainly.com/question/28144353
#SPJ1
HELLLPPP Quick
What is the mean of this data set?
12, 17, 16, 10, 20
35
25
15
Answer:
15
Step-by-step explanation:
The numbers in the given data = 12, 17, 16, 10, 20
Total number = 5
12 + 17 + 16 + 10 + 20 = 75
Mean = 75/5
Mean 15
If you spin the spinner 36 times, what is the best prediction possible for the number of times it will not land on yellow?
The best prediction possible for the number of times the spinner will not land on yellow is 18.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.
The probability of the spinner not landing on yellow in one spin is:
P(not yellow) = P(green) + P(blue) + P(red)
= 1/6 + 1/3 + 1/6
= 1/2
Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:
E(not yellow) = 36 x P(not yellow)
= 36 x 1/2
= 18
So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
Can someone help me asap? It’s due tomorrow.
Answer:
I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.
math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
a box model will be used to keep track of the number of winning plays for a gambling game that has chance 15% of winning and 85% of losing. is it appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game?
Yes , it is appropriate to choose normal approximation to calculate the chance of winning at least 10 times out of 75 total plays of game.
Use the normal approximation,
Chance of winning at least 10 times out of 75 total plays of the game,
Conditions for using the normal distribution are met.
Binomial distribution can be approximated by the normal distribution,
The number of trials 'n' is large enough usually n > 30.
The probability of success 'p' is not too close to 0 or 1.
The trials are independent.
Here,
n = 75 trials and p = 0.15 probability of winning.
To check if the normal approximation is appropriate,
Calculate the mean and standard deviation of the binomial distribution,
mean = n × p
= 75 × 0.15
= 11.25
Standard deviation
= √(n × p × (1 - p))
= √(75 × 0.15 × 0.85)
= 3.09
Mean is 11.25 and the standard deviation is 2.44.
The condition for independence is satisfied since each play is independent of the others.
If the other two conditions are met,
Check if np and n(1-p) are both greater than or equal to 10,
np = 75 × 0.15
= 11.25
n(1-p) = 75 × 0.85
= 63.75
Both np and n(1-p) are greater than or equal to 10,
So the conditions for using the normal approximation are satisfied.
Therefore, it is appropriate to use the normal approximation to find the chance of winning at least 10 times out of 75 total plays of the game.
learn more about normal approximation here
brainly.com/question/28111818
#SPJ4
Divide. Write the missing
numbers.
62) 5,472
1
9
16
R
62 5 4 7 2
"
R
9
1 6
(Type whole numbers.)
we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11
9, 1, 6
What is long division method ?First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.
To divide 5,472 by a two-digit number, we can use long division method as follows:
34) 5 4 7 2( 34
- 4 0
______
1 4 7
- 1 3 6
_______
1 1
Therefore, we get the quotient as 161 and remainder as 11.
So the missing numbers are:
R = 11
9, 1, 6
Learn more about HCF here
https://brainly.com/question/29114178
#SPJ1
what number is the greatest common factor of 90 and 315 divided by the least common multiple of 5 and 15?
The greatest common factor of 90 and 315 when divided by the least common multiple of 5 and 15 is 45.
When we multiply all the common prime factors, we get the greatest common factor of the numbers.
These prime factors should come from the prime factorization of the numbers given. These should be in all the unique combinations possible.
To learn more about the greatest common factor,
https://brainly.com/question/219464
can I get help without anybody guessing please :)
The inequality graphed is given as follows:
y ≥ x² - 4x - 5.
What are the inequality symbols?The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:
> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.The roots of the parabola are given as follows:
x = -1 and x = 5.
Hence:
y = a(x + 1)(x - 5)
y = a(x² - 4x - 5).
When x = 0, y = -5, hence the leading coefficient a is given as follows:
-5a = -5
a = 1.
The part above is painted, with a solid line, hence the inequality is given as follows:
y ≥ x² - 4x - 5.
More can be learned about inequalities at brainly.com/question/25275758
#SPJ1
Our school raises $150 for six charities. Each charity gets 1/6 of the amount raised. How much did each charity get
The amount that each charity gets is $25.
The charity raise simply define as we raise funds in the form of small amounts of money from a huge crowd of people within a specific period of time.
For example, if 100 people donate $50 each to your crowdfunding campaign in two weeks, you will be able to raise $5000.
To find the amount that each charity got, we have to divide the total charity amount raised in the proportion given, i.e., 1/6.
Each charity gets 1/6 of the total amount raised, which is $150.
So, we need to divide $150 by 6:
$150 ÷ 6 = $25
Therefore, each charity received $25.
To know more about charity
https://brainly.com/question/30667130
#SPJ4
suppose the life time of a component ti in hours is uniformly distributed on [100, 200]. components are replaced as soon as one fails and assume that this process has been going on long enough to reach equilibrium. (a) what is the probability that the current component has been in operation for at least 50 hours? (b) what is the probability that the current component will last for at least 50 more hours?
a. The probability that the current component has been in operation for at least 50 hours is 0.5
b. The probability that the current component will last for at least 50 more hours is also 0.5.
(a) The probability that the current component has been in operation for at least 50 hours is given by the cumulative distribution function (CDF) of the uniform distribution on [100, 200] evaluated at 50.
The CDF of a uniform distribution on [a, b] is given by:
F(x) = (x - a) / (b - a) for a <= x <= b
F(x) = 0 for x < a
F(x) = 1 for x > b
Therefore, in this case, the CDF is:
F(x) = (x - 100) / 100 for 100 <= x <= 200
F(x) = 0 for x < 100
F(x) = 1 for x > 200
So the probability that the current component has been in operation for at least 50 hours is:
P(ti >= 50) = 1 - F(50) = 1 - ((50 - 100) / 100) = 0.5
(b) The probability that the current component will last for at least 50 more hours is also given by the CDF of the uniform distribution on [100, 200], but evaluated at 150 instead of 50.
That is,
P(ti >= 150) = F(150) = (150 - 100) / 100 = 0.5.
For similar question on probability.
https://brainly.com/question/27990975
#SPJ11
The function f(x) = -4(3)-4+3 represents the value of a savings account in dollars, x months after the individual opened
the account.
In how many months will be account have a balance of $0?
O 0.26 months
O 2.46 months
O 3.74 months
O 4.26 months
NEED HELP ASP
Answer: A
Explanation:
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 64, and then went down by 50% in 2012. How many robberies were there in Springfield in 2012?
Answer: 32
Step-by-step explanation:
50% of last year is divided by 2 (50/100 = 1/2). 64/2 = 32
A counter in Adriana's kitchen is 1 meter wide and 3 meters long. Adriana wants to replace the counter with a granite countertop, which would cost $261.00 per square meter. How much would the granite countertop cost?
The granite countertop would cost $783.00.
Finding the cost of granite:
To find the cost of granite find the amount of granite that can be used for the entire kitchen.
Since the kitchen floor is in a rectangle shape find the area of the kitchen floor using the area of a rectangle. Which will equal the amount of granite used for the kitchen.
Use the formula for the cost of the countertop, which is the product of the area, and the cost per square meter, to determine the total cost.
Here we have
A counter in Adriana's kitchen is 1 m wide and 3 m long.
Hence, the area of the countertop can be found by multiplying the length and the width:
Area of kitchen = length x width = 3 m x 1 m = 3 m²
The cost of the granite is given by $ 261.00 per square meter
The cost of the granite countertop will equal the product of the area and the cost per square meter:
Total Cost = 3 m² x $261.00/m² = $783.00
Therefore,
The granite countertop would cost $783.00.
Learn more about Finding costs at
https://brainly.com/question/20692885
#SPJ1
Graph y ≥ -x2 - 1.
Click on the graph until the correct graph appears.
Answer:
To graph this inequality, you can start by graphing the related function y = -x^2 - 1. This is a downward-facing parabola that opens downwards and has a vertex at (0, -1).
To graph the inequality y ≥ -x^2 - 1, you need to shade the region above the graph of the parabola. This is because any point above the parabola will have a y-coordinate that is greater than or equal to the corresponding y-coordinate on the parabola.
So, to graph the inequality, you can shade the region above the parabola. You can use a dotted line to represent the boundary of the inequality, since the inequality includes the possibility of equality (y = -x^2 - 1).
I hope this helps!
Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6
The expression used to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.
Let us consider 'l' be the length of the rectangular prism.
'w' be the width of the rectangular prism .
'h' be the height of the rectangular prism.
From the attached figure we have,
Length of the rectangular prism l = 3 units
Width of the rectangular prism w = 2 units
Height of the rectangular prism h = 5 units
Surface of the rectangular prism = 2(lw + wh + hl )
Substitute the values in the formula we get,
⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )
⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)
⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15
Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.
Learn more about surface area here
brainly.com/question/14322585
#SPJ4
The above question is incomplete, the complete question is:
Which expression can be used to find the surface area of the following rectangular prism?
Attached figure.
a student willing to participate in a debate competition is required to fill out a registration form. answers to the follow questions on the form are what type of data?
A student willing to participate in a debate competition is required to fill out a registration form.
Form filling in two types of data i.e.,
Quantitative dataCategorical dataQuantitative data :
Quantitative data is data that can be counted or measured in numerical values. The two main types of quantitative data are discrete data and continuous data. Height in feet, age in years, and weight in pounds are examples of quantitative data. Qualitative data is descriptive data that is not expressed numerically.
Categorical data:Categorical data is a collection of information that is divided into groups. i.e., if an organization or agency is trying to get a biodata of its employees, the resulting data is referred to as categorical.
a. What is your date of birth?
Quantitative.
b. Have you participated in any debate competition previously?
Categorical.
c. If yes, how many debate competitions have you participated so far?
Quantitative.
d. Have you won any of the competitions?
Categorical.
e. If yes, how many have you won?
Quantitative.
Learn more about Quantitative data at:
https://brainly.com/question/14810759
#SPJ4
The given question is incomplete, complete question is:
A student willing to participate in a debate competition required to fill a registration form. State
whether each of the following information about the participant provides categorical or quantitative
data.
a. What is your date of birth?
b. Have you participated in any debate competition previously?
c. If yes, how many debate competitions have you participated so far?
d. Have you won any of the competitions?
e. If yes, how many have you won?
Please write answer in two parts. A. Main answer (correctly paraphrased, addressing all aspect of the question) B. Explanation (Step-by-step explanation)
Need help ASAP!!! It’s due today….
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
Explain about the linear function:Any function which it graphs as a straight line is said to be linear. Mathematically speaking, this indicates that the function contains one or two variables, but neither exponents nor powers.
If the function seems to have more variables, they must all be constants or well-known variables in order for the function to continue to be linear.A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x). Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.Given linear function:
y = 2x - 3 ; with x = 4
To get the value of y ,put x = 4 in the given function:
y = 2(4) - 3
y = 8 - 3
y = 5
Thus, the value of y for the given linear function for the input value of x = 4 , is found as y = 5.
Know more about the linear function:
https://brainly.com/question/2248255
#SPJ1
correct question:
Find the value of y for the given value of 'x'.
y = 2x - 3 ; x = 4
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1. 50. She sold each cup of lemonade for $0. 25,
Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9. 75 after paying out the cost of the lemonade.
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
To solve this problem
Let x be the number of cups of lemonade Jane sold.
The total earnings she made from selling x cups of lemonade is:
Total earnings = price per cup * number of cups sold
Total earnings = $0.25 * x
The total cost of making x cups of lemonade is:
Total cost = cost per cup * number of cups sold
Total cost = $1.50 * x
Jane's profit is equal to her total earnings minus her total cost:
Profit = Total earnings - Total cost
Profit = $0.25x - $1.50x
Profit = -$1.25x
We know that Jane's earnings were $9.75, so we can set up the equation:
$9.75 = -$1.25x
To solve for x, we can divide both sides by -$1.25:
-$9.75 / -$1.25 = x
x = 7.8
Jane sold approximately 7.8 cups of lemonade. Since she cannot sell a fractional number of cups of lemonade, we can round up to 8 cups.
Learn more about equation here : brainly.com/question/28871326
#SPJ1
es meet at right angles.) 6 m 2 m 3 m 5 m grass cement 2 m 4 m square meters
The area of the cement part is 24 m².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the part with cement. we use the formula below
Formula:
Area of the part with cement = Area of the backyard-Area of the grassA = LW-lw....................... Equation 1Where:
A = Area of the part with cementL = Length of the backyardW = Width of the backyardl = Length of the cementw = Width of the cementFrom the question,
Given:
L = 5 mW = 6 ml = 3 mw = 2 mSubstitute these values into equation 1
A = (5×6)-(2×3)A = 30-6A = 24 m²Hence, the area is 24 m².
Learn more about area here: https://brainly.com/question/28470545
#SPJ1
there are four blood types, and not all are equally likely to be in blood banks. in a certain blood bank, 49% of donations are type o blood, 27% of donations are type a blood, 20% of donations are type b blood, and 4% of donations are type ab blood. a person with type b blood can safely receive blood transfusions of type o and type b blood. what is the probability that the 4th donation selected at random can be safely used in a blood transfusion on someone with type b blood? ( to the nearest thousandth)
The probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69.
How to find the probability?Since a person with type B blood can safely receive blood transfusions of type O and type B blood, the fourth donation selected at random must be either type O or type B blood. From the information given, the probability of the fourth donation being type O blood is 49%, and the probability of it being type B blood is 20%. Therefore, the probability that the fourth donation can be safely used in a blood transfusion on someone with type B blood is:
P(type O or type B) = P(type O) + P(type B) = 0.49 + 0.20 = 0.69
So, the probability that the fourth donation selected at random can be safely used in a blood transfusion on someone with type B blood is 0.69 (rounded to the nearest thousandth).
Learn more about Probability
brainly.com/question/30034780
#SPJ11
Select all expressions equivalent to 162x^2 – 72.
2(9x - 6)^2
2 (81x^2 – 36)
2 (9x - 6) (9x + 6)
18(3x^2 – 2)^2
18 (3x - 2) (3x + 2)
Expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72.[/tex]
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.
According to given information:The expression [tex]162x^2 - 72[/tex] can be factored using the difference of squares formula: [tex]a^2 - b^2 = (a+b)(a-b)[/tex].
First, we can factor out 18 from the expression:
[tex]162x^2 - 72 = 18(9x^2 - 4)[/tex]
Now, we can apply the difference of squares formula by setting a = 3x and b = 2:
[tex]9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)[/tex]
Substituting this back into the original expression, we get:
[tex]162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)[/tex]
Therefore, expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72[/tex].
To know more about expression visit:
https://brainly.com/question/1859113
#SPJ1
Can anyone help me please
Answer:
25
Step-by-step explanation:
do students who learned english and another language simultaneously score worse on the sat critical reading exam than the general population of test takers? the mean score among all test takers on the sat critical reading exam is 501. a random sample of 100 test takers who learned english and another language simultaneously has a mean sat critical reading score of 485 with a standard deviation of 116. do these results suggest that students who learn english as well as another language simultaneously score worse on the sat critical reading exam
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
Based on the information provided, it seems that students who learned English and another language simultaneously score lower on the SAT Critical Reading exam than the general population of test takers. The mean score of the general population is 501, while the mean score of the sample of 100 test takers who learned English and another language simultaneously is 485. This is a difference of 16 points, which could be considered statistically significant.
However, it is important to note that the standard deviation of the sample is quite high at 116. This suggests that there is a lot of variability in the scores of students who learned English and another language simultaneously, which could be due to a variety of factors such as differences in language proficiency or educational background.
Therefore, while these results do suggest that there may be a difference in SAT Critical Reading scores between students who learned English and another language simultaneously and the general population, further research is needed to understand the extent and causes of this difference.
learn more about SAT Critical Reading scores
https://brainly.com/question/18687674
#SPJ11
The results do not provide sufficient evidence to suggest that students who learn English and another language simultaneously score worse on the SAT critical reading exam than the general population of test takers.
We will use the terms: mean, standard deviation, sample size, and hypothesis testing.
Mean score among all test takers: 501
Mean score of the bilingual students' sample: 485
Standard deviation of the bilingual students' sample: 116
Sample size: 100.
To determine if bilingual students score worse on the SAT critical reading exam, we will conduct a hypothesis test.
Formulate the hypotheses
Null hypothesis (H0):
Bilingual students' mean score = General population mean score
Alternative hypothesis (H1):
Bilingual students' mean score < General population mean score
Calculate the test statistic
Test statistic = (Sample mean - Population mean) / (Standard deviation / sqrt(Sample size))
Test statistic = (485 - 501) / (116 / sqrt(100))
Test statistic = -16 / 11.6
Test statistic ≈ -1.38
Determine the critical value and significance level
We'll use a one-tailed test with a significance level (α) of 0.05. Using a standard normal (Z) table, the critical value is -1.645.
Compare test statistic to critical value
Since our test statistic (-1.38) is greater than the critical value (-1.645), we fail to reject the null hypothesis.
For similar question on evidence.
https://brainly.com/question/28446728
#SPJ11
TIME SENSITIVE! please help !
Consider the word PENCIL. If all the letters are used, and the first letter can’t be N or L, how many ways can the letters be arranged?
A) 720
B) 480
C) 360
D) 96
The number of ways to arrange the letters of PENCIL when the first letter can't be N or L is option (B) 480.
The word PENCIL has 6 letters, here we have to use permutation method. If all the letters are used, there are 6! = 720 ways to arrange them. However, the first letter can’t be N or L. This means that there are only 4 choices for the first letter (P, E, C, or I). After choosing the first letter, there are 5 letters left to arrange,
So there are 5! = 120 ways to arrange them.
Therefore, the total number of ways to arrange the letters of PENCIL when the first letter can’t be N or L is
4 x 5! = 4 x 120 = 480
Therefore, the correct option is (B) 480.
Learn more about permutation here
brainly.com/question/28720645
#SPJ4
The population of your town is about 30,000. This is about 1/10 the population of your friend’s town about what is the population of your friend’s town?
The population of your friend's town is 300,000 if the population of your town is about 30,000.
To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.
If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.
So, the population of your friend's town is
30,000 x 10 = 300,000
Therefore, your friend's town has a population of about 300,000.
To know more about population here
https://brainly.com/question/7141650
#SPJ4
Help solve this! ASAP
Answer:
2
Step-by-step explanation:
You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].
Average rate of changeThe average rate of change of f(x) on the interval [a, b] is computed as ...
m = (f(b) -f(a))/(b -a)
For the given function f(x), this is ...
m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2
The average rate of change of f(x) on the interval [-7, 3] is 2.
__
Additional comment
The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:
-2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.
<95141404393>
question 1 options: as a quality control inspector: you have previously believed a claim that 3.2% of items made on your production line are defective. to see if you should still believe this claim: you decide to do a two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective. in percentage form, and rounded to four digits past the decimal point: what is the approximate p-value of your test? answer: the approximate p-value of this test is % state your answer in percentage form. a percentage symbol is already provided. round your answer to four digits past the decimal point. include all four digits past the decimal point, even if some digits are zeros. include only your number for the answer. do not include any other information (such as another percentage symbol, or equal symbol, words, spaces, etc).
The approximate p-value is 5.1250%.
P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.
Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.
The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.
This is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.
This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.
In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This can be calculated using a binomial test.
For similar question on p-value :
https://brainly.com/question/31591314
#SPJ11
a random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the
The upper control limit for the p-chart is 0.111, and the lower control limit is 0.003.
To calculate the upper and lower control limits for a p-chart, we need to use the following formula:
UCL = p' + 3√(p'(1-p')/n)
LCL = p' - 3√(p'(1-p')/n)
Where p' is the mean proportion of defective pots, n is the sample size (in this case, 120), and UCL and LCL are the upper and lower control limits, respectively.
Given that the proportion of defective pots is believed to be 0.05, we can calculate the mean proportion of defective pots as:
p' = 0.05
Substituting this value in the above formula, we get:
UCL = 0.05 + 3√(0.05(1-0.05)/120) = 0.111
LCL = 0.05 - 3√(0.05(1-0.05)/120) = 0.003
Any sample proportion of defective pots falling outside these limits would be considered statistically significant and warrant further investigation to identify the root cause of the defects in the production process.
To learn more about proportion click on,
https://brainly.com/question/29979305
#SPJ4
Complete question is:
A random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the p' chart.