b. Which of these products has the same value as 4​(​12)? Select all that apply.
A.
8​(​6)
B.
76
C.
316
D.
12​(​4)
E.
124

Answers

Answer 1

Answer:

A and D

Step-by-step explanation:

8(6) means 8x6 so that's 48

and 12(4) is the same as 4(12) so that should be simple enough


Related Questions

you are going to paint the 6-sector spinner shown. there are 4 colors to choose from. 0 how many different ways can you paint the spinner, if each color can be used more than once, and: there are no other restrictions?

Answers

The different ways can paint the spinner is [tex]4^{6}[/tex].

Permutation and Combination:

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

Here it is given that to paint the 6-sector spinner shown there are 4 colors to choose from.

The total number of ways to color this spinner with 6 different parts and 4 different colors is 4 × 4 × 4 × 4 × 4×4 = [tex]4^{6}[/tex] ways

Therefore the ways is [tex]4^{6}[/tex].

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in developing patient appointment schedules, a medical center wants to estimate the mean time that a staff member spends with each patient. use a planning value for the population standard deviation of seven minutes. (round your answers up to the nearest integer.) how large a sample should be taken if the desired margin of error is two minutes at a 95% level of confidence?

Answers

A sample should be 47 to be taken if the desired margin of error is two minutes at a 95% level of confidence

Given information:

A medical facility wants to determine the average amount of time each patient spends with a staff member while creating patient appointment schedules. utilize a planned value of seven minutes for the population's standard deviation.

б=7, ME=2

95% Confidence (to the nearest whole number):

For 95% confidence interval z-critical value is z_{c}=1.96. So

n = (z * б /ME )² = (1.96* 7/ 2)= 47.05

The Requried sample size is 47

If the acceptable margin of error is two minutes at a 95% level of confidence, then a sample of 47 should be taken.

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c) Which of these
numbers is a square number?
A: 4x10^5
B:9x10^4
C:4x10^3
D:9x10^3

Answers

A= 400,000 - not square
B= 90,000 - square (300 x 300)
C= 4,000 - not square
D= 9,000 - not square

So B

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = [tex]\frac{1}{6}[/tex] x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-9}{6-0}[/tex] = [tex]\frac{1}{6}[/tex]

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = [tex]\frac{1}{6}[/tex] x + 9 ← equation of line

Find the length of the missing segment.

Answers

In accordance to Thales's theorem, the geometric system has a missing side length of 15 units.

How to determine missing lengths in geometric systems by ratios

In this problem we find a geometric system formed by two proportional trapezoids. This similarity and proportionality is defined by Thales's theorem, which states that a triangle segmented by several lines parallel to each other and parallel to the base of the figure creates triangles and quadrilaterals proportional to each other.

Then, two figures of the given trapezoids are represented by side proportionality ratios. Then, the proportionality ratio is described and its variable x is cleared within by algebra properties:

First, define the proportionality ratio associated to the geometric system:

4 / (10 + 4) = (21 - x) / 21

Second, simplify the equation and clear the variable x:

4 / 14 = 1 - x / 21

2 / 7 = 1 - x / 21

42 / 7 = 21 - x

6 = 21 - x

x = 21 - 6

x = 15

The missing length is equal to 15 units.

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Read Zalika's number problem.
' I am thinking of a number N. Twice (N+10) is the same as four times (N-10) '
a. Write down an equation to show this.
b. Solve the equation to find the vale of N.

Answers

Part A

The equation that shows the statement is

2N + 20 = 4N - 40

Part B

The value of N = 30

The number that he is thinking = N

Twice (N+10) = 2(N+10)

= 2N + 20

Four times (N-10) = 4(N - 10)

= 4N - 40

Twice (N+10) is the same as four times (N-10)

The equation that represent the given statement is

2N + 20 = 4N - 40

Part B

Solve the equation

2N + 20 = 4N - 40

4N - 2N = 20 + 40

2N =  60

N = 60/2

Divide the terms

N =30

Hence,

Part A

The equation that shows the statement is

2N + 20 = 4N - 40

Part B

The value of N = 30

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if the same data are analyzed using a one-way anova and the randomized block design, the sums-of-square between groups (ssb) is:

Answers

Using One way ANOVA and Randomized block design, the sum of squares between groups (ssb) is equal to the sum of sum of sum of explantary variable A's sum of squares and errors sum of square.

Statistics uses one-way ANOVA to compare the means of three or more independent groups to determine if there is a statistically significant difference between the corresponding population means. It is constructed using the sum of squares measure of total variability used in the numerator of the standard deviation, subtracting the mean, squaring the difference, and adding all observations to obtain the total variability Generate a scale. For multiple groups, we focus on decomposing this total variability (total sum of squares) into the variability between means (the sum of squares of the explanatory variable A) and the variability of the residuals or errors (the error sum of squares).

SSTotal = sum of squares = ∑( yᵢ - Y )²

Total variation is assessed by the total mean (the estimated mean of all observations, available from mean-only models).

SSA = Sum of Squares of Explanatory Variable A

Also called treatment, regression, or model sum of squares. ∑∑(yᵢⱼ - Y' )²

SSE = error (residual) sum of squares

Variation of response around group mean.

Also called the sum of squared residuals.

SSE = ∑∑( Y - Y')²

The total sum of squares is always equal to the sum of the sum of the squares of the explanatory variable A and the sum of the squared errors, SST (total) = SSA + SSE. This equation means that if SSA increases, SSE must decrease if SSTotal remains the same. This result is called the sum of squares decomposition formula.

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need help please I cant find the answer

Answers

Answer:

6

1/3

Step-by-step explanation:

Similar triangles

The corresponding side on triangle A is 18 units

18 * 1/3 = 6

The side length of the missing side on B is 6 units

Side B                5

------       =    -----------   = 1/3

Side A              15

The ratio is 1/3

Answers:

question one:  6

question two: 1/3

==========================================

Explanation:

The side 12 from triangle A corresponds to the side 4 from triangle B.

The scale factor is A/B = 4/12 = 1/3 which tells us that sides in triangle B are 1/3 as long compared to sides in triangle A. This takes care of the second question.

We'll use this scale factor to determine the missing side of triangle B.

The side 18 in triangle A corresponds to this missing side in triangle B.

Take 1/3 of 18 to get (1/3)*18 = 6 which is that missing side.

--------------

Another way to look at it: Take any side of triangle B, triple it, and you'll get a corresponding side of triangle A.

Example: The jump from 5 to 15 is "times 3".

what are the coefficients in 4x + 8y - 5

Answers

Answer:

Step-by-step explanation:

A coefficient is a number before the variable that shows how many groups of the variable there are. For example, 2b would be two groups of B.

The coefficients in this expression would be 4 (as in 4x) and 8 (as in 8y).

Sylvia Okumbe is trying to break her national record of 14 minutes 35 seconds
for running 5000 m (12 1/2 laps of the track). Her average time per lap for the
first 5 laps is 1 minute 13 seconds. What average lap time does she need for
the remaining 7 1/2 laps?
Enter your answer as a number in seconds. Only type the number of seconds -
no spaces or words

Answers

Sylvia needs tο cοmplete the remaining 7.5 laps in an average time οf 68 secοnds οr less tο break the natiοnal recοrd.

What is Time, Speed and Distance?

Time is the duratiοn between twο events, speed is the rate at which distance is cοvered per unit time, and distance is the amοunt οf space between twο οbjects οr pοints.

Sylvia has cοmpleted the first 5 laps in a tοtal time οf 5 x 73 secοnds = 365 secοnds.

Tο break the natiοnal recοrd οf 14 minutes 35 secοnds (οr 875 secοnds) fοr running 5000m, Sylvia has 5000m - 5 laps (οf 400m each) = 3000m remaining tο run, which is equivalent tο 7.5 laps (since each lap is 400m).

Let's say Sylvia needs tο cοmplete the remaining 7.5 laps in x secοnds.

Tο break the natiοnal recοrd, the tοtal time fοr running 12.5 laps (οr 5000m) shοuld be 875 secοnds οr less. Sο, we can set up the fοllοwing equatiοn tο find the required average lap time fοr the remaining 7.5 laps:

365 secοnds + 7.5x secοnds ≤ 875 secοnds

Subtracting 365 secοnds frοm bοth sides gives:

7.5x secοnds ≤ 510 secοnds

Dividing bοth sides by 7.5 gives:

x secοnds ≤ 68 secοnds

Sο, Sylvia needs tο cοmplete the remaining 7.5 laps in an average time οf 68 secοnds οr less tο break the natiοnal recοrd.

Therefοre, the answer is 68 secοnds.

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Write an equivalent ratio for each ratio

Answers

Answer:2/5=4/10 and 1/4=2/8

Step-by-step explanation: you can simplify 4/10 to get 2/5 and same with 2/8. You would divide the fraction by two.

State the value of the two square numbers closest to 55. Hence, show that 55 is not a square number.​

Answers

Answer:

7.416 is the answer

7.416 is going to be your answer.

You multiply two integers and the product is -18. List 4 possible pairs of integers

Answers

The possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)

We need to find the four possible pairs of integers that has product -18

Let x and y be two required integers.

Since the product is negative, one of the integer must be negative integer.

x      y          x*y

9    -2          -18

2     -9         -18

18    -1         -18

-1     18        -18

6      -3        -18

3      -6        -18

Therefore, the possible pairs of integers that has product -18 is: (9, -2), (18, -1), (6, -3), (3, -6), (2, -9)

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Solve. −1 − 10x < −1

Answers

The solution to the inequality is x > 0

What is Inequality?

Inequality in mathematics differentiate two values,  if one is less than, greater than, or not equal to another value

Evaluate the equation by letting the unknow to be on one side

−1 − 10x < −1

-10x < -1+1

Add +1 to both sides

= -1-10x+1 < -1+1

= -10x < 0

Divide both sides by -10 same factor and flip the relation because  of negative factor

=  -10x /-10 > 0/-10

= x > 0

Therefore the solution to the inequality is x>0

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The PlentyofFish dating site company is designing a marketing campaign with the objective of reducing the purchase risk of its dating service in the customer's mind. PlentyofFish is offering a limited free 30-day trial to test out the site. Which stage has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign ?

Answers

The stage that has the smallest percentage of prospects associated with the AIDA model is PlentyofFish implementing for its campaign is the action stage.

What is the AIDA Model?

The AIDA Model (Attention, Interest, Desire, and Action) is an advertising effect model that identifies the stages that an individual goes through when purchasing a product or service.

The AIDA model is one of several models known as hierarchy of effects models or hierarchical models, all of which imply that when making a purchase decision, consumers go through a series of steps or stages.

An AIDA model entails the following steps:

Attention: The first step in marketing or advertising is to think about how to get consumers' attention.

Interest: Once a consumer is aware that a product or service exists, the company must work to increase the potential customer's level of interest.

Desire: Once the consumer is interested in the product or service, the goal is to make them want it.

Action: The ultimate goal of a marketing campaign is to motivate the recipient to take action and buy the product or service.

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The dimensions of a rectangle can be expressed as x+4 and x-3. If the area of the rectangle is 60 inches squared, find the dimensions of the rectangle

Answers

Step-by-step explanation:

length(l)=x+4

breadth(b)=x-3

Area of rectangle(A)=l×b

60=(x+4)×(x-3)

60=x^2-3x+4x-12

60=x^2+x-12

x^2+x-12-60=0

x^2+x-72=0

x^2+9x-8x-72=0

x(x+9)-8(x+9)=0

(x+9)(x-8)=0

equating equation

x+9=0.....eq(i)

x=-9 it is not possible

x-8=0.....eq(ii)

x=8

Then,length(l)=x+4

=8+4=12

breadth(b)=x-3

=8-3=5

simplify 8^15 ÷8^-3 math is hard for me

Answers

Answer:

8^18

Step-by-step explanation:

8^15

8^−3

=

8^15

8−3

= 8^15− (−3)

= 8^18

Question 4 (10 points)

(02. 07 MC)


The figure shows triangle ABC and line segment PQ, which is parallel to BC:


Triangle ABC has a point P on side AB and point Q on side AC. The line PQ is parallel to the line BC.

Part A: Is triangle ABC similar to triangle APQ? Explain using what you know about triangle similarity. (5 points)


Part B: Which line segment on triangle APQ corresponds to line segment BC? Explain your answer. (3 points)


Part C: Which angle on triangle APQ corresponds to angle B? Explain your answer. (2 points)

Answers

Part a: ΔABC≈ΔAPQ

Part b: The line segment PQ corresponds to the line segment BC.

Part c: Angle P in APQ triangle angle equates to angle B.

Define the term similarity rule of triangles?If two triangles have a similar ratio of adjacent angles and an equal proportion of corresponding sides, they are comparable. When two or more objects share the same shape but differ in size, they are referred to as comparable figures.

Part a: line segment PQ parallel to BC; PQ||BC

Thus, ∠ABC =∠APQ  AND,   ∠ACB=∠AQP

So, by (AA similarity rule)

ΔABC≈ΔAPQ

Part b: The line segment APQ on the triangle corresponds to the line segment BC:

By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).

Part c: APQ triangle angle equates to angle B:

Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).

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Triangle QRS and its dimensions are shown.

s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.

Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle QRS?

Answers

The dimensions that represent a similar triangle to triangle QRS are given as follows:

B. 10 cm, 20 cm, 25 cm.

What are similar triangles?

Similar triangles are two triangles that have the same angle measures.

These triangles will also have proportional side lengths, because of the sine/cosine/tangent relations in a right triangle and the law of sines for non-right triangles.

In this problem, we want a triangle that is similar to a triangle with the dimensions presented as follows:

s,. 6 centimeters,. 12 centimeters,. q,. 15 centimeters,. r,.

Hence all these dimensions have to be multiplied by the same scale factor.

Then, option B is correct, as the ratios between the lengths are given as follows:

10/6 = 20/12 = 25/15 = 5/3.

Meaning that all sides were multiplied by 5/3.

Missing Information

The problem is given by the image at the end of the answer.

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Answer Answer is B, thank you, I just love to help.

Step-by-step explanation:

Solve the inequality 2m - 125 or 5m> -25.

Answers

Answer:

m = -5

Step-by-step explanation:

I'm not sure of the first part, but this is how to solve the second:

5m > -25

5m/5 > -25/5

m = -5

Ruth has 36 vases of flowers. Some of the vases contain 3 daisies. The other vases contain 4 lilacs. There are 125 flowers in the vases in total. How many vases of each type of flower does Ruth have?

Answers

Answer:

13 vases of lilacs23 vases of daisies

Step-by-step explanation:

You want to know the number of vases of each type of flower if there are 36 vases containing 125 flowers, with 3 daisies or 4 lilacs in a vase.

Setup

Let x and y represent daisy and lilac vases, respectively. The problem statement gives two relations:

  x +y = 36 . . . . . total number of vases

  3x +4y = 125 . . . total number of flowers

Solution

Substituting for x, we have ...

  x = 36 -y

  3(36 -y) +4y = 125

  108 +y = 125

  y = 13

  x = 36 -13 = 23

There are 23 vases of daisies and 13 vases of lilacs.

a random sample of 42 college graduates revealed that they worked an average of 7.3 years on the job before being promoted. the sample standard deviation was 2.9 years. using the 0.99 degree of confidence, what is the confidence interval for the population mean?

Answers

The confidence interval for the population mean with 99% confidence interval is (6.90;8.50).

What is meant by confidence interval?

A confidence interval is a set of values that, with a particular level of certainty, includes a population value. When a population mean is between an upper and lower interval, it is frequently stated as a percentage.

The population mean is mean [tex]\bar{x}[/tex]=7.3.

The sample's standard deviation is 2. 9

Number of samples: 42

The range of possibilities for the mean, [tex]\bar{x}[/tex]

The confidence interval for the mean is

[tex]\bar{x}[/tex] ± (σ/√n)

To calculate the critical value, we must first determine the degrees of freedom, which are given by:

df=n-1

df=42-1

df=41.

Since the confidence level is 0.99 or 99%, the values of and can be used to calculate the critical value using Excel, a calculator, or a table is 2.701

7.3-2.701(2.9/√42)=6.9013

7.3+2.701(2.9/√42)=8.5086

The 99% confidence interval in this instance would therefore be provided by (6.90;8.50).

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The price of a pair of Nike Panda's
increases from $52 to $64. What is the
percent increase to the nearest
percent?

Answers

Answer: 23%

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

–72, –71, –70, –69, ..

Answers

Answer:

-73 +n

the first term is -73+1

the secound is -73+2

and so on

Answer:

[tex]a_{n}[/tex]= n - 73

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 71 - (- 72) = - 70 - (- 71) = - 69 - (- 70) = 1

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 72 and d = 1 , then

[tex]a_{n}[/tex] = - 72 + 1(n - 1) = - 72 + n - 1 = n - 73

Need help asap
Solve by using elimination. Express your answer as an ordered pair.
3x−2y=11
3x−y=7

Answers

The solution to the given set of systems of equations is (x, y) = (1, -4).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's determine the solution using the elimination Method

3x−2y=11  (Equation 1)

3x−y=7(Equation 2)

Multiply the second equation by 2.

6x - 2y = 14    (Equation 3)

Now subtract the first equation from third to eliminate the y.

6x - 2y - (3x - 2y) = 14 - 11

3x = 3

x = 1

Now to find the value of y,

3x−y=7

3(1) − y = 7

y = 7 - 3

y = -4

Therefore, the solution to the given set of systems of equations is (x, y) = (1, -4).

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a company makes a bracelet containing magnets that they claim improves balance and overall athletic performance. researchers recruit volunteers for an experiment. the subjects will test the effectiveness of the bracelet by performing a variety of athletic challenges with and without the bracelet. each subject will do each challenge 333 times: wearing the actual bracelet, wearing a placebo bracelet, and wearing no bracelet at all. the order will be randomized for each activity, subjects won't know which bracelet is which. why did the researchers include the scenario where subjects wear no bracelet at all?

Answers

The researchers include the scenario where subjects wear no bracelet at all are when it comes to mosquitoes, volunteers in each block should live in similar conditions.

Define experiment.

An experiment might involve giving a novel drug to rats to see how they respond to learning about it. When you visit a new coffee shop but are unsure of how the coffee will taste, that is an example of an experiment. the act of carrying out a test like that; experimenting. An experiment is a procedure used as part of the scientific method to test a hypothesis. The independent and dependent variables are the two most important variables in every experiment. To investigate the impact of the independent variable on the dependent variable, it is either controlled or altered.

Given,

A company makes a bracelet containing magnets that they claim improves balance and overall athletic performance. researchers recruit volunteers for an experiment.

The researchers include the scenario where subjects wear no bracelet at all are:

When it comes to mosquitoes, volunteers in each block should live in similar conditions.

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Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. the car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.

Answers

Sathish will pay $64.8

When Satish is alone, kilometres:

Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total

When Satish is with friends, the total kilometres travelled is 2100 km:

And when Satish went alone he travelled 300 km

When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km

Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.

300 kilometres at 6 x 3 equals 18 litres.

So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.

So, 6 × 18 for 1800 kilometres is equal to 108 litres.

Gas prices when Satish is on his own:

$1.2 per litre

18 x $1.2 = $21.6

Gas prices when Satish is travelling with friends

$1.2 per litre

108 x 1.2 = $129.6

Cost for each friend = $129.6/3 = $43.2

Satish will pay: Cost when travelling with friends + Cost when travelling alone

=$43.2+ $21.6

=$64.8

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Here is a correlation, does it also represent causation? Explain you answer.

The number of cold, snow days and the amount of hot chocolate sold at a ski resort.

Answers

Between the two variables, the number of cold, snow days, and the amount of hot chocolate sold at a ski resort, there is causation.

Is causation in this relation?

For two variables x and y, we have causation when a change in one of the variables causes an immediate change in the other variable as a response.

Here we have the two variables:

x = number of cold, snow days.

y = amount of hot chocolate sold at a ski resort.

Obviously, there is a correlation there, we can even assume that if the days are cold enough, a larger percentage of the people in the ski resort will decide to stay there, and then there is a larger posibility that they will consume hot chocolate there, so yes, there is causation between these two variables.

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Add 7w-12 and -15w+60
Show your work

Answers

Answer:

Step-by-step explanation: 7w-12+(-15w+60)= 7w-12-15w-60= -8w-72

-8w-72 is the answer or -8(w+9) if you take out a -8

The required simplified solution of the sum of the expressions is -8w + 48

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To add 7w-12 and -15w+60
According to the question,
= 7w - 12 - 15w + 60
= 7w - 15w + 60 - 12
= -8w + 48

Thus, the required simplified solution of the sum of the expressions is -8w + 48

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a sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. in a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds. conduct the appropriate hypothesis test using a 0.01 level of significance. a) what are the appropriate null and alternative hypotheses?

Answers

We accept the null hypothesis, according to which the average amount of trash per bin is equal to 50.

Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 700) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment.Depending on the information received, it might be supported or might not be supported at all.

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A sanitation supervisor is interested in testing o see if the mean amount of garbage per bin is different from 50.This means that the null hypothesis is:And the alternate hypothesis is:The test statistic is:In which X is the sample mean,  is the value tested at the null hypothesis,  is the standard deviation and n is the size of the sample.50 tested at the null hypothesis:This means that In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.This means that Value of the test statistic:p-value:Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03z = 1.03 has a pvalue of 0.84851 - 0.8485 = 0.15152*0.1515 = 0.30300.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

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