As a result, the response is A .The number of dollars it costs to rent the bowling lane for 3 hours.
Define dollar?The US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange It is a type of paper money, currency, and monetary unit used in the United States that is equivalent to 100 cents
The total cost (in dollars) for renting a bowling alley for x hours is represented by the function b(x) = 3x + 15.
We change x in the function to 3 to obtain b(3).
B(3) = 3(3) + 15 = 9 + 15 = 24 is the result.
Therefore, b(3) is the amount of money required to rent the bowling alley for three hours.
As a result, the response is A.
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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.
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The radius of a circle is 3 centimeters. What is the length of a 45° arc?
Answer:
2.36 miles
Step-by-step explanation:
radius, r = 3 miles∅ = 45°Length of an arc = ∅/360 * 2πr= 45/360 * 2 * 3.14 * 3= 2.36 miles
Solve Triangle
Because I Need Answer My Assignment:-)
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
x = 4√5 ≈ 8.94 (2 d.p.)
y = 8√5 ≈ 17.89 (2 d.p.)
Step-by-step explanation:
To find the values of x and y, use the Geometric Mean Theorem (Leg Rule).
Geometric Mean Theorem (Leg Rule)The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of the hypotenuse to one leg is equal to the ratio of the same leg and the segment directly opposite the leg.
[tex]\boxed{\sf \dfrac{Hypotenuse}{Leg\:1}=\dfrac{Leg\:1}{Segment\;1}}\quad \sf and \quad \boxed{\sf \dfrac{Hypotenuse}{Leg\:2}=\dfrac{Leg\:2}{Segment\;2}}[/tex]
From inspection of the given right triangle RST:
Altitude = SVHypotenuse = RT = 20Leg 1 = RS = ySegment 1 = RV = 16Leg 2 = ST = xSegment 2 = VT = 4Substitute the values into the formulas:
[tex]\boxed{\dfrac{20}{y}=\dfrac{y}{16}}\quad \sf and \quad \boxed{\dfrac{20}{x}=\dfrac{x}{4}}[/tex]
Solve the equation for x:
[tex]\implies \dfrac{20}{x}=\dfrac{x}{4}[/tex]
[tex]\implies 4x \cdot \dfrac{20}{x}=4x \cdot \dfrac{x}{4}[/tex]
[tex]\implies 80=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{80}[/tex]
[tex]\implies x=\sqrt{80}[/tex]
[tex]\implies x=\sqrt{4^2\cdot 5}[/tex]
[tex]\implies x=\sqrt{4^2}\sqrt{5}[/tex]
[tex]\implies x=4\sqrt{5}[/tex]
Solve the equation for y:
[tex]\implies \dfrac{20}{y}=\dfrac{y}{16}[/tex]
[tex]\implies 16y \cdot \dfrac{20}{y}=16y \cdot \dfrac{y}{16}[/tex]
[tex]\implies 320=y^2[/tex]
[tex]\implies \sqrt{y^2}=\sqrt{320}[/tex]
[tex]\implies y=\sqrt{320}[/tex]
[tex]\implies y=\sqrt{8^2\cdot 5}[/tex]
[tex]\implies y=\sqrt{8^2}\sqrt{5}[/tex]
[tex]\implies y=8\sqrt{5}[/tex]
If you watch from ground level, a child riding on a merry-go-round will seem to be undergoing simple harmonic motion from side to side. Assume the merry-go-round is 10.6 feet across and the child completes 8 rotations in 120 seconds. Write a sine function that describes d, the child's apparent distance from the center of the merry-go-round, as a function of time t.
The sine function that describes the child's apparent distance from the center of the merry-go-round is d(t) = 5.3 sin(2π/15 * t)
How to write a sine function that describes the child's apparent distance?To write a sine function that describes the child's apparent distance from the center of the merry-go-round as a function of time t, we can start by finding the amplitude, period, and phase shift of the motion.
Amplitude:
The amplitude of the motion is half the diameter of the merry-go-round, which is 10.6/2 = 5.3 feet. This is because the child moves back and forth across the diameter of the merry-go-round.
Period:
The period of the motion is the time it takes for the child to complete one full cycle of back-and-forth motion, which is equal to the time it takes for the merry-go-round to complete one full rotation.
From the given information, the child completes 8 rotations in 120 seconds, so the period is T = 120/8 = 15 seconds.
Phase shift:
The phase shift of the motion is the amount of time by which the sine function is shifted horizontally (to the right or left).
In this case, the child starts at one end of the diameter and moves to the other end, so the sine function starts at its maximum value when t = 0. Thus, the phase shift is 0.
With these values, we can write the sine function that describes the child's apparent distance from the center of the merry-go-round as:
d(t) = 5.3 sin(2π/15 * t)
where d is the child's distance from the center of the merry-go-round in feet, and t is the time in seconds. The factor 2π/15 is the angular frequency of the motion, which is equal to 2π/T.
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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.
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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
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laptop: $199.99, 13% markup what is the markup
Answer:
≈ $26
Step-by-step explanation:
13% = 0.13
199.99 x 0.13 = $25.9987
So, 13% markup is ≈ $26
Using the graph, determine the equation of the axis of symmetry.
Step-by-step explanation:
x = -4 ( the value of the x-coordinate of the vertex is the axis of symmetry for normal up or down opening parabolas)
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.
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math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
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.
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If a stock has a beta measure of 2.5, discuss what this means(be specific).
The means of a stock that has a beta measure of 2.5 is 2.5%.
A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.
This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.
The beta measure is a measure of the volatility of a stock relative to the market.
If the market goes down by 1%, the stock is expected to go down by 2.5%.
Therefore,
The stock is considered to be more risky than the average stock in the market.
A beta measure of 2.5 indicates that the stock is 2.5 times as volatile as the market.
This means that if the market goes up by 1%, the stock is expected to go up by 2.5%.
Conversely, if the market goes down by 1%, the stock is expected to go down by 2.5%.
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we have studied srs and stratified sampling, and have also mentioned cluster sampling. there is one more sampling method which arises frequently, called systematic sampling. this is how it works in its simplest form:
Systematic sampling is a type of probability sampling method where every nth item in a population is selected for inclusion in the sample.
For example, if a researcher wanted to select a systematic sample of 100 students from a school population of 1,000 students, they would randomly select one of the first 10 students (1/10th of the population) and then select every 10th student thereafter until they reach 100. Systematic sampling is often used when the population is too large to enumerate and it is more efficient than simple random sampling. However, it is important to ensure that the sampling interval is not biased in any way, otherwise the sample may not be representative of the population.
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Systematic sampling is a relatively easy and quick method of sampling, as it requires less effort and time than other methods such as stratified or cluster sampling.
The starting point is truly random, and that the interval selected does not create any bias in the sample.
Systematic sampling is a method of selecting a sample from a population using a system or a pattern.
It involves selecting every nth item or person from the population after a random starting point has been determined.
To perform systematic sampling, the first item or individual in the sample is randomly selected from the population.
Then, the remaining items or individuals are selected at regular intervals, such as every 10th or 20th item or individual.
The interval is calculated by dividing the population size by the desired sample size.
A researcher wants to select a sample of 100 from a population of 1000, the interval would be. [tex]1000/100 = 10.[/tex]
The researcher would randomly select the first item or individual from the population, and then select every 10th item or individual thereafter until the desired sample size is reached.
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When adding or subtracting mixed numbers with like denominators, the numerators ___ , but the denominators ______ .
A. Stay the same
B. change
Answer:
Yo, when you adding or subtracting mixed numbers with the same denominators, the numerators stay chill, they don't change, bro.
But the denominators, they also stay the same, man. It's like keeping things consistent, ya feel me? So the answer is A, dude. Numerators stay put, denominators stay put. It's all good vibes, bro! ✌️
Solve for X. I don’t know how to solve
The value of x is approximately 10.57 and the value of y is approximately 15.25.
Describe Chords?In mathematics, a chord is a straight line segment that connects two points on a curve. More specifically, a chord is a line segment that has its endpoints on the curve.
The term "chord" is most commonly used in the context of circle geometry, where a chord is a line segment that connects two points on the circumference of a circle. In this context, the length of a chord can be calculated using the Pythagorean theorem, given the lengths of the radii of the circle and the distance between the endpoints of the chord.
In a circle, if four chords are connected to form a quadrilateral, then opposite angles of the quadrilateral are supplementary. Using this property, we can set up the following equation:
105 + (7y + 1) + (7x + 1) + (4y + 14) = 180
Simplifying and solving for x and y, we get:
7x + 4y + 122 = 180
7x + 4y = 58 ......(1)
Also, we know that the opposite angles of a cyclic quadrilateral are supplementary. Therefore, we can set up the following equations:
105 + (4y + 14) = 180 ......(2)
(7y + 1) + (7x + 1) = 180 ......(3)
Simplifying and solving for y in equation (2), we get:
4y + 119 = 180
4y = 61
y = 15.25
Substituting this value of y in equation (3) and solving for x, we get:
(7x + 1) + (7*15.25 + 1) = 180
7x + 106 = 180
7x = 74
x = 10.57
Therefore, the value of x is approximately 10.57 and the value of y is approximately 15.25.
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Find the measures of angle a and B. Round to the
nearest degree.
The measure of angle A and B is 29° and 61° respectively
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
sin(tetha) = opp/hyp
tan(tetha) = opp/adj
cos(tetha) = adj/hyp
The opposite is 6 and the adjascent = 11
Therefore tan (tetha) = 11/6 = 1.833
tetha = tan^-1( 1.833)
= 61°( nearest degree)
The sum of angle in a triangle is 180°
therefore,
angle A = 180-( 61+90)
= 180-151
= 29°
therefore the measure of angle A and B is 29° and 61° respectively.
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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.
Ten seventh graders and 15 eighth graders were selected for the elite choir ensemble.
a. Write the ratio of seventh graders to eighth graders who were selected for the
elite choir.
b. Write the ratio of seventh graders to total students who were selected for the
elite choir.
c. Write the ratio of eighth graders to total students who were selected for the elite
choir.
Answer:
Your answer should be A
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.
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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)
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.
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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.
x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2
Answer: If you want me to evaluate its 18x - 2
Hope it helped :D
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>
5 × (10 + 7) = (5 × 10) + (5 ×7)
Answer:
Same equation just using the assocaitive property
Step-by-step explanation:
For example, 8 + (2 + 3) = (8 + 2) + 3 = 13
Hope this helps! =D
The function y = f(x) is graphed below.
What is the average rate of change of the
function f(x) on the interval
-1 ≤ x ≤ 0?
Answer:
-2
Step-by-step explanation:
The explanation is in the picture
I don’t know what to write for the equation.
fraction wise, a whole is always simplified to 1, so
[tex]\cfrac{4}{4}\implies \cfrac{1000}{1000}\implies \cfrac{9999}{9999}\implies \cfrac{17}{17}\implies \text{\LARGE 1} ~~ whole[/tex]
so, we can say the whole of the players, namely all of them, expressed in fourth is well, 4/4, that's the whole lot, and we also know that 3/4 of that is 12, the guys who chose the bottle of water
[tex]\begin{array}{ccll} fraction&value\\ \cline{1-2} \frac{4}{4}&p\\[1em] \frac{3}{4}&12 \end{array}\implies \cfrac{~~ \frac{4 }{4 } ~~}{\frac{3}{4}}~~ = ~~\cfrac{p}{12}\implies \cfrac{~~ 1 ~~}{\frac{3}{4}} = \cfrac{p}{12}\implies \cfrac{4}{3}=\cfrac{p}{12} \\\\\\ (4)(12)=3p\implies \cfrac{(4)(12)}{3}=p\implies 16=p[/tex]
A rock of radioactive material has 500 atoms in it. The number of atoms decreases at a rate of 11% a day. Write an exponential function that models this situation. f(x) type your answer... (1 choose your answer... choose your answer... ✓)^x
Answer:
[tex]f(x) = 500( {.89}^{x} )[/tex]
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:
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.
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Maggie spent $18. 00 Of $30. 00 In her wallet which decimal represents the fraction of the $30. 00 Maggie spent
The decimal that represents the fraction of the $30.00 Maggie spent is 0.6.
Now, let's talk about decimals. Decimals are a way of expressing parts of a whole number in a fraction of 10. For example, 0.5 is the same as 1/2. In your situation, Maggie spent $18.00 out of $30.00. To figure out what decimal represents the fraction of the $30.00 Maggie spent, we need to divide the amount she spent by the total amount she had.
So, we can write this as a fraction:
$18.00 / $30.00
To turn this fraction into a decimal, we divide the numerator (top number) by the denominator (bottom number) using long division or a calculator.
$18.00 / $30.00 = 0.6
Another way to say this is that Maggie spent 60% of the money she had in her wallet.
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The angle of elevation from point A to the top of a hill is 49°. If point A is 400 feet from the base of the hill, how high is the hill? Round to the nearest tenth.
1. 460.1 ft
2. 301.9 ft
3. 262.4 ft
4. 459.3 ft