Lydia drove 441 miles in 6 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 4.9

For the alternative hypothesis,

µ < 4.9

This is a left tailed test.

If the population variance is 0.36, the population standard deviation would be √0.36 = 0.6 psi

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 4.9

x = 4.8

σ = 0.6

n = 210

z = (4.8 - 4.9)/(0.6/√210) = - 2.42

Looking at the normal distribution table, the probability corresponding to the z score is 0.0078

Since alpha, 0.1 > than the p value, 0.0078, then we would reject the null hypothesis. Therefore, there is sufficient evidence at the 0.1 level that the valve performs below the specifications.

The number of laps per minute is equal to 1.25 laps.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, time is 4 minutes and the number of laps is 5.

We can calculate as Number of laps per minute = Total number of laps/Number of minutes

= 5/4

= 1.25 laps

Hence, the number of laps per minute is 1.25 laps.

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Answer:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Step-by-step explanation:

Information provided

[tex]\bar X=42[/tex] represent the sample mean for the assembly time

[tex]s=8[/tex] represent the sample deviation

[tex]n=120[/tex] sample size  

[tex]\mu_o =40[/tex] represent the value to verify

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to see if the true mean is equal to 40 minutes or not, the system of hypothesis would be:  

Null hypothesis:[tex]\mu =40[/tex]  

Alternative hypothesis:[tex]\mu \neq 40[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739[/tex]  

The p value for this case would be given by:

[tex]p_v =2*P(z>2.739)=0.0616[/tex]  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

The hypothesis testing does not provide sufficient evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

The subject matter refers to the concept of hypothesis testing in statistics, where in context, we are checking whether the actual average assembly time of a kitchen cabinet contradicts the believed assembly time. Hypothesis testing works on a null hypothesis and an alternative hypothesis. In this case, the null hypothesis (H0) can be that the average assembly time equals 40 minutes. The alternative hypothesis (H1) would be that the average assembly time does not equal 40 minutes.

At a 0.05 significance level, we calculate the test statistic (z-score) which represents how many standard deviations a data-point (the sample mean) is from the mean (the supervisor's claimed mean). The z-score is calculated as:

(Sample Mean - Claimed Mean) / (Standard Deviation/ √Number of Observations)

In this case, this becomes: (42-40)/(8/√120) = 1.732. The corresponding p-value for this z-score is 0.083.

Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. Hence, there isn't overwhelming evidence to contradict the supervisor's belief that the job should take 40 minutes on average.

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Final answer:

The expression representing the sum of six and the product of three and a variable 'd' is written as 6 + 3d.

Explanation:

The expression that means the sum of six and the product of three and d is written as 6 + 3d.

This expression shows that you first multiply the number three by the variable d, and then add six to the result of that multiplication.

The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), instructs us to perform the multiplication before the addition.

Answer:

I think the answer is 9 3/4, 9.5, 9 3/8, 9.125

Answer:

Step-by-step explanation:

The measure of center of a group of data is a single central value such as the mean and the median.

The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.

The measure of variability  gives an indication of the spread of the data about the mean. Examples are  the Standard Deviation and the Interquartile Range.

Explaining the difference between a measure of center and a measure of variability.

The measure is an estimate or assesses the extent, quality, value, or effect of (something).

The measure of the center of a group of data is a single central value such as the mean and the median.

The mean is the arithmetical average of the sum of the data and the median is the middle value of the data when placed in ascending sequence.

The measure of variability gives an indication of the spread of the data about the mean. Examples are the Standard Deviation and the Interquartile Range.

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Answer:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

[tex]\bar X=1.8[/tex] represent the sample mean for the growth

[tex]s=0.5[/tex] represent the sample standard deviation    

[tex]n=48[/tex] sample size    

[tex]\mu_o =2[/tex] represent the value that we want to compare

[tex]\alpha=0.01[/tex] represent the significance level

t would represent the statistic    

[tex]p_v[/tex] represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :    

Null hypothesis:[tex]\mu \geq 2[/tex]    

Alternative hypothesis:[tex]\mu < 2[/tex]    

Since we don't know the population deviation the statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)    

Replacing the info given we got:

[tex]t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=48-1=47[/tex]  

And the p value would be:

[tex]p_v =P(t_{(47)}<-2.771)=0.0040[/tex]    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Answer:

C = 36 pi or approximately 113.04

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

C = 2*pi*18

C = 36 pi

We can approximate pi by 3.14

C = 36*3.14

C =113.04

Answer:

7 students

Step-by-step explanation:

Answer:

the answer is 7 people

Step-by-step explanation:

have a great day!

Answer:Ella's Procedure And Conclusion are incorrect

Step-by-step explanation:

Answer:

Ellas procedure and conclusion are incorrect

Step-by-step explanation:

Answer: Each gallon costs $3.85

Step-by-step explanation:

We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:

$46.20 ÷ 12 = $3.85

Each gallon costs $3.85

I hope this helps!

Answer:

Each gallon costs $3.85

Step-by-step explanation: We know that Bryan's mom spent $46.20 on gas, and her car can hold up to 12 gallons. Therefore all we have to do is:$46.20 ÷ 12 = $3.85Each gallon costs $3.85I hope this helps!

Answer:

24 cartons

Step-by-step explanation:

8c=7

7/8=0.875

21/0.875=24

Answer:

B)

Step-by-step explanation:

If you try to divide 135 with each number,every number is divisible by 135 XD

Answer:

− 2( 5 y + 3 ) ( y − 6 )

Step-by-step explanation:

hope it helps

Answer:

The equation is

2y + 85x + 75 = 0

Step-by-step explanation:

Given vertices A(-1,5), B(5,-2) and C(3,5).

Suppose we want to find the median from A

First, we find the midpoint of side BC

Let the midpoint be M = ((x1 + x2)/2, (y1 + y2)/2)

= ((5+3)/2, (-2-5)/2)

= (8/2, -7/2)

= (4, -7/2)

Next, we write the equation of median with A(-1,5) and midpoint M(4,-7/2)

y = mx + c

The slope m = (y2 - y1)/(x2 - x1)

= (-7/2 - 5)/(4 + 1)

= (-17/2)/5

m = -85/2

We find the y-intercept, using A(-1,5)

x = -1, y = 5, m = -85/2

y = mx + c

5 = (-85/2)(-1) + c

c = 5- 85/2

= -75/2

y = -85x/2 - 75/2

Multiply through by 2

2y = -85x - 75

2y + 85x + 75 = 0

And this is the equation

Answer:

The test statistic is [tex]t = -62.5[/tex]

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 0.2*500 = 100[/tex]

The alternate hypotesis is:

[tex]H_{1} < 0.2*500 < 100[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

In this problem:

[tex]X = 75, \mu = 100, \sigma = \sqrt{500*0.8*0.2} = 8.94, n = 500[/tex]

So

[tex]t = \frac{75 - 100}{\frac{8.94}{\sqrt{500}}}[/tex]

[tex]t = -62.5[/tex]

The test statistic is [tex]t = -62.5[/tex]

Answer:

[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]  

Step-by-step explanation:

Data given by the problem

n=500 represent the random sample taken

X=75 represent the students in favor to reducing the deficit using only spending cuts

[tex]\hat p=\frac{75}{500}=0.15[/tex] estimated proportion of favor to reducing the deficit using only spending cuts

[tex]p_o=0.2[/tex] is the value that we want to check

z would represent the statistic

System of hypothesis

We want to cehck if the true proportion of students in favor to reducing the deficit using only spending cuts is less than 0.2.:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic for this case is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info provided we got:

[tex]z=\frac{0.15 -0.2}{\sqrt{\frac{0.2(1-0.2)}{500}}}=-2.795[/tex]  

Here's the matching of the valuation types with the factors used in their calculation:

1. Cash flows: The actual cash generated or received by a business.

2. Profit: The amount of money a company makes after subtracting its expenses from its revenue.

3. NOPAT (Net Operating Profit After Tax): It is a company's operating profit after deducting taxes.

4. Earnings: The amount of money a company makes after subtracting its expenses from its revenue. It's often used interchangeably with profit.

5. Total cost of financing: The total cost associated with raising capital, including interest payments and other financing costs.

6. Weighted average: A calculated average where each value is weighted according to its significance.

7. Cost of capital: The cost of obtaining funds, which is typically the weighted average cost of debt and equity.

8. EVA (Economic Value Added): A measure of a company's financial performance based on the residual wealth calculated by deducting its cost of capital from its operating profit.

These factors are used in various combinations to perform different types of valuations, such as discounted cash flow analysis, earning-based valuation models, and economic value-added analysis.

The question is:

Match the type of valuation with the factors used in its calculation.

Types of valuation:

Factors used:

Answer:

She baked 288 cookies

Step-by-step explanation:

24 X 12 equals 288

Answer:

288 cookies

Step-by-step explanation:

The true statement is an exponential function will MULTIPLY the same number each time.

A linear function is represented as:

y = mx + b

An exponential function is represented as:

[tex]y = ab^x[/tex]

The factor [tex]b^x[/tex] means that the number b is multiplied by itself x times

Hence, the word that completes the blank is (a) exponential

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Exponential functions multiply a constant number each time to show growth or decay.

Exponential functions will multiply the same number each time. They model exponential growth or decay where the value increases or decreases at a constant rate over time.

For example, if you multiply 2 by itself multiple times: 2^1, 2^2, 2^3, the result will keep growing exponentially.

In math, exponential functions are denoted as f(x) = a*b^x, where 'b' is the constant multiplied each time for growth or decay.

Answer:

A.Distribute 9, by multiplication, to the variable, a, and to the constant, 8.

B.Write the two multiplications, 9(a) + 9(8)

C.The expression 9(a) is written as 9a.

D.The expression 9(8) equals 72.

F.The equivalent expression is 9a + 72.

Step-by-step explanation:

or rather 9+72

Answer:

(B) Subtract 2/5 from both sides.  

Step-by-step explanation:

What is the best first step in solving Negative 4 x + two-fifths greater-than StartFraction 5 over 10 EndFraction?

(A) Add Two-fifths to both sides.

(B) Subtract Two-fifths from both sides.  <<<<<-------Correct Answer

(C) Multiply both sides by Negative 4 and reverse the inequality symbol.

(D) Divide both sides by 10 and reverse the inequality symbol.

The solution is Option B.

Subtract Two-fifths from both sides and the inequality equation is x < -1/40

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( -4x ) + 2/5 > 5/10

On simplifying the equation , we get

-4x + 2/5 > 1/2

Subtracting 2/5 on both sides of the equation , we get

-4x > ( 1/2 ) - ( 2/5 )

-4x > 1/10

On further simplification , we get

4x < - ( 1/10 )

Divide by 4 on both sides of the equation , we get

x < - ( 1/40 )

Hence , the inequality is x < - ( 1/40 )

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Answer:

9.433 miles

Step-by-step explanation:

c^2 = a^2 + b^2

The distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.

The distance between the planes ABC can be found using the Pythagorean theorem since the relationship between the sides AB, BC, and AC forms a right triangle. Given that AB is 5 miles, BC is 8 miles, and AC is the hypotenuse, the distance between the planes ABC can be calculated as follows:

[tex]$$ AC^2 = AB^2 + BC^2 $$[/tex]

Substitute the given values:

[tex]$$ AC^2 = 5^2 + 8^2 $$[/tex]

[tex]$$ AC^2 = 25 + 64 $$[/tex]

[tex]$$ AC^2 = 89 $$[/tex]

Therefore, the distance between the planes ABC is the square root of 89 miles, which is approximately 9.43 miles.

Answer:

4.7

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

I assume this shape is a triangle. The sum of the three angles in a triangle always equals 180 degrees. So, you add the angles that we have the measurements of and subtract it from 180 to get your answer of 65 degrees. hope this helps:)

Answer:

What were the three main social reform movements of the nineteenth century in United States?

abolitionist movement

mental health reform movement

women’s rights movement

Step-by-step explanation:

Answer:

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

The sample proportion

                                   [tex]p^{-} = \frac{x}{n} = \frac{211}{517} =0.4081[/tex]

                                  [tex]q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919[/tex]

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

[tex](p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )[/tex]

[tex](0.4081 - 2.326 \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )[/tex]

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Answer:

15 dollars

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

We multiply the tip percentage by the amount billed

50% * 30

Change to decimal form

.50 * 30

15

Answer:

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range

Step-by-step explanation:

We have these following probabilities:

1.9% probability that a randomly selected U.S. adult is underweight.

37.7% probability that a randomly selected U.S. adult has healthy weight.

35% probability that a randomly selected U.S. adult is overweight.

25.4% probability that a randomly selected U.S. adult is obese.

Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range?

More than the healthy weight range: overweight or obese

35% + 25.4% = 60.4%

60.4% probability that a randomly selected U.S. adult weighs more than the healthy weight range