Answer:
2/15 ; 6/15 ; 1/5
Step-by-step explanation:
Number on spinner = (2, 3, 5)
Number on card = (1, 1, 2, 3, 4)
____ 2 ___ 3 ____ 5
1__1, 2 __ 1, 3 ___1, 5
1__1, 2 __ 1, 3 ___1, 5
2_ 2,2___2,3 ___2,5
3_ 3,2 __ 3,3 ___3,5
4_ 4,2 __ 4,3 ___4,5
1.)
To get a difference of 0:
{(2,2) ; (3,3)} = 2
Total possible outcomes = sample space = 15
P(difference of 0) = 2 / 15
2.)
Product of 2 resulting numbers is odd:
{(1,3) ; (1,5) ; (1,3) ; (1,5) ; (3,3) ; (3,5)} = 6
Total possible outcomes = 15
P(product is odd) = 6 /15
3.)
Product is atleast 12 :
{(3,5) ; (4,3) ; (4,5)} = 3
Total possible outcomes = 15
P(product is atleast 12) = 3/15 = 1/5
A waitress worked 5 hours at the pizzeria and earned $59.25. How much would the waitress expect to earn in 8 hours?
Answer: 94.80
Step-by-step explanation:
First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.
[tex]\frac{59.25}{5} = 11.85 per hour[/tex]
Multiply this by 8 to find her amount made in 8 hours.
11.85 x 8 = 94.80
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width.
Answer:
Length= 19
Width=16
Step-by-step explanation:
(16x2)+(19x2)=70
38+32=70
Select the correct answer.
If the factors of quadratic equation are (x + 4) and (x – 9), what are the x-intercepts?
A.
(-9,0) and (-4,0)
B.
(-9,0) and (4,0)
C.
(-4,0) and (9,0)
D.
(4,0) and (9,0)
PLATO
Answer:
The answer is going to be C.
Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.
Answer:
Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.
Step-by-step explanation:
:D
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
90+51+x=180(sum of interior angles of a triangle)
141+x=180
x=180-141
x=39 degree
Step-by-step explanation:
pls help finding this out
Gotta make this fast, im running out of points.
Answer:
335 mm²
Step-by-step explanation:
This will be so easy, that you can do it in the future by yourself!
Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.
Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!
How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.
Now, we add both those areas together, to get ourselves a nice little 335 mm²
I hope that helped, have a great day!!
13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x
Answer: infinite solutions
Step-by-step explanation:
What is the probability that the code is 74M? See above:
Best answer gets brainliest!!! PLEASE HELP
Answer:
[tex]0.0004[/tex]
Step-by-step explanation:
To start off, find out the probability that if you chose a number at random, you would pick a certain number. To do this count how many numbers you have, in this case it's 10. So if each of the numbers had the same chance to be picked, the probability of picking a certain number is [tex]\frac{1}{10}[/tex].
The same thing goes for the letters. Count how many you have, in this case it's the whole alphabet, so, 26 letters. Therefore, the probability of picking a certain letter is [tex]\frac{1}{26}[/tex].
Now for how we can use these probabilities. We want the probability that the code is a 7 AND a 4 AND a M. Because we are using AND and not OR, we should use the multiplication rule which is: [tex]P(Aand B) = P(A)[/tex] × [tex]P(B)[/tex].
Using this rule we can do the calculation: [tex]P(AandBandC) = P(A)[/tex] × [tex]P(B)[/tex] ×[tex]P(C)[/tex]
In this case, [tex]P(A) =\frac{1}{10}[/tex] , [tex]P(B) =\frac{1}{10}[/tex] and [tex]P(C) = \frac{1}{26}[/tex].
[tex]\frac{1}{10}[/tex] × [tex]\frac{1}{10}[/tex] × [tex]\frac{1}{26}[/tex] [tex]= 0.0003846...[/tex]
We can round this to [tex]0.0004[/tex]
help quicklyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer: A.
Explanation: 4 + -4 = 0 and 3 - 3 = 0
I think the answer is
(c.) 1 and -12
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-163 - 0}{77.3144}[/tex]
[tex]z = -2.11[/tex]
The test statistic is z = -2.11.
MPG (miles per gallon) Formula:
Example Problem: Abdullah drove 1800 miles on 50 gallons of
gasoline. Find his gas mileage, rounded to the nearest whole
number, mpg.
PLEASE HELP
Answer:
36 mpg
Step-by-step explanation:
the gas mileage= 1800/50 = 36 mpg
PLZZ no files
Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
Marcos determines the calculation as 1.3m
100cm
1m
(2.54cm
$0.45
lin.
= 148.59.
lin
What is the error in Marcos' reasoning, and how much will the fabric cost?
А
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
I’m
Answer:
А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Step-by-step explanation:
Given that,
Length of fabric = 1.3 meters
We know that,
1 m = 100 cm
⇒1.3 m = (1.3)×100 = 130 cm
⇒1.3 m = 130 cm
Now,
We know that
1 inch = 2.54 cm
and
1 cm = 0.3937 inches
⇒130 cm = (130)×(0.3937) inches
= 51.181 inches
⇒130 cm = 51.181 inches
Now,
Given that,
Cost of 1 inch = $0.45
⇒Cost of 51.181 inches = $(51.181)×(0.45)
= $ 23.03
∴ we get
The cost of fabric = $23.03
and
The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
Initially Sam receives $40 and every year she receives a deposit that increases the amount by $20 from
the previous year. Find the total amount deposited by her 18th birthday.
Answer:
1080
Step-by-step explanation:
What is the common ratio in the geometric sequence: 12, 3, 3/4 …….
Answer:
1/4
Step-by-step explanation:
to find the ratio:
3/12 : (3/4)/3
1/4 : 1/4
term2/ term1 : term2/term3
Use the Greatest common factor and the distributive property to write equivalent expressions in factored form 24f + 56g *
Answer:
8(3f + 7g)
Step-by-step explanation:
The GCF of 24 and 56 is 8.
24f + 56g
8(3f + 7g)
Russell surveyed 16 students at his school and found that 4 of them planned to take orchestra as their next elective. If Russell surveys 12 more students, how many of them are probably planning on taking orchestra as an elective, based on past data?
Answer:3
Step-by-step explanation:
The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the number of students who take orchestra as an elective be represented as P
Now , the equation will be
The total number of students = 16 students
The number of students who opted for orchestra as elective = 4 students
So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students
Substituting the values in the equation , we get
The probability that the number of students who take orchestra as an elective P = 4/16
The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %
Now , when the number of students = 16 + 12 = 28 students
The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28
Substituting the values in the equation , we get
1/4 = ( x + 4 ) / 28
Multiply by 28 on both sides of the equation , we get
x + 4 = 7
Subtracting 4 on both sides of the equation , we get
x = 3 students
So , the number of students who will take orchestra from the group of 12 students is 3 students
Hence , the probability is 1/4
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ6
i need help with this
Answer:
1)18.73
2)7.55
3)42.06
4)14.32
5)9
6)8.60
Step-by-step explanation:
Which expression has a value of two-third
Select the expressions that are equivalent to 9p + 8p.
A. 17p
B. 2p + 16p
C. p • 17
D. 3p + 13p
A. 17p
Step-by-step explanation:
hope this helps ya :)
Donna fed of the chickens at a farm. Which decimal is equal to the fraction of 11
chickens Donna fed?
A. 0.09
B. 0.09
C. 0.01
D. 0.01
Answer:
I will just guess 1/11 is what ur saying so a and b or 0.0909
Step-by-step explanation:
Anastasia hits her golf ball off the tee. The height of the golf ball is modeled by the function f(x) =-5x^2+25x+1, where x is the number of seconds after the golf ball is hit. How long is the golf ball in the air?
9514 1404 393
Answer:
5.04 seconds
Step-by-step explanation:
Assuming the ball is in the air until f(x) = 0, we want to find x such that ...
0 = -5x² +25x +1
0 = x² -5x -1/5 . . . . . divide by -5
1/5 = x² -5x . . . . . . . add 1/5
1/5 +25/4 = (x² -5x +25/4) . . . . complete the square
129/20 = (x -5/2)² . . . . . . . . . . write as a square
x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2
The ball stays in the air about 5.04 seconds.
help asap pls..........
How long will it take your money to double if you put $500 into an account compounded quarterly at 2.9%?
=======================================================
Work Shown:
A = P*(1+r/n)^(n*t)
1000 = 500*(1+0.029/4)^(4*t)
1000 = 500*(1.00725)^(4*t)
1000/500 = (1.00725)^(4*t)
2 = (1.00725)^(4*t)
log(2) = log( 1.00725^(4*t) )
log(2) = 4*t*log( 1.00725 )
4*t*log( 1.00725 ) = log(2)
t = log(2)/( 4*log( 1.00725 ) )
t = 23.9881659971072 The value is approximate
t = 24 when rounding to the nearest full year
It takes approximately 24 years to double your money.
What is angle M and N and the length of NP
Best answer gets brainliest!!!!
Answer:
3
Step-by-step explanation:
Answer:
Angle M and N is 45 degrees, and the length of NP is approximately 6 cm
Step-by-step explanation:
With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.
*triangles add up to a total of a 180 degrees, (180 - 90 = 90)
9 ÷ 2 = 45
So: ∠M = 45° and ∠N = 45°
To find the length of NP, use the pythagorean theorem.
a² + b² = c²
a = MP = 5
b = NP = x
c = MN = 7.8
(5)² = 25
(7.8)² = 60.48
25 + x² = 60.48
x² = 60.48 - 25
x² = 35.84
x = √35.84
x = 5.986 = 5.99
NP = 5.99 = 6
Which statement is true for the values of Pand Q on this number line? + Q + -2 1 -4 -3 0 1 A 응 4 B. PxQ5 C P+Q> -4 D P - Qo
What is the area of the quadrilateral and what is the perimeter
Answer:
Area of Trapezoid = (b1 + b2)h
2
Area = (9 in + 17 in) (3 in = 1/4 ft)
2
A = (26 in)(3 in)/2
A = 78 in2/2
A = 39 in2
Perimeter = bi + b2 + 2l
P = 9in + 17 in + 2(5 in)
P = 26 in + 10 in
P = 36 inches
!I WILL GIVE YOU 50 POINTS!!!!!!!!!!!! (if it's worng you will be reported)
Answer:
2
Step-by-step explanation:
1+1 is 2
Neveah invested $80,000 in an account paying an interest rate of 5 1/8% compounded continuously. Aaliyah invested $80,000 in an account paying an interest rate of 5 3/8% compounded monthly. After 13 years, how much more money would Aaliyah have in her account than Nevaeh, to the nearest dollar ? PLEASE HELP
Answer:
$4894
Step-by-step explanation:
Answer:
4894
Step-by-step explanation:
Helpppp!! This is wayyyy overdue and i only have a couple more questions on this paper.
Answer:
10.2a+3+3a-1+a
= 6a+2
=2(3a+1)
11)2y-1+3y-2+2y+2+2y-2+y
=10y-3