A .16
B .20
C .29
D .38

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in​ customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

[tex]\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683[/tex]

Compute the test statistic as follows:

[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51[/tex]

The degrees of freedom is:

df = n - 1

   = 36 - 1

   = 35

Compute the p-value as follows:

[tex]p-value=P(t_{35}<3.51)=0.0006[/tex]

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in​ customers’ cars in less than 30 minutes on average.

Using the t-distribution, we have that:

1.

The null hypothesis is [tex]H_0: \mu \geq 30[/tex]

The alternative hypothesis is [tex]H_1: \mu < 30[/tex]

2. The test statistic is t = 3.51.

3. The p-value is of 0.0063.

4. Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

Item 1:

At the null hypothesis, we test if the mean is of at least 30 minutes, that is:

[tex]H_0: \mu \geq 30[/tex]

At the alternative hypothesis, we test if the mean is of less than 30, that is:

[tex]H_1: \mu < 30[/tex]

Item 2:

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem:

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{24.92 - 30}{\frac{8.68}{\sqrt{36}}}[/tex]

[tx]t = 3.51[/tex]

The test statistic is t = 3.51.

Item 3:

The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with t = 3.51 and 36 - 1 = 35 df.

Using a calculator, this p-value is of 0.0063.

Item 4:

Since the p-value is of less than the standard significance level of 0.05, we reject the null hypothesis, and can conclude that the company is fulfilling its promise.

A similar problem is given at https://brainly.com/question/16194574

Answer:

D. 7.56

Step-by-step explanation:

First we can see it has a less than symbol meaning whatever we put has to be less than the first number.

So the only number less than 7.68 is 7.65!

Answer:

D

Step-by-step explanation:

The number we're dealing with is 7.68.

the symbol means that whatever number comes after it is less than 7.68. So, we look at the other numbers to see if they're bigger than 7.68.

8.81 is bigger than 7.68.

8.68 is bigger than 7.68.

7.86 is bigger than 7.68.

7.56 is smaller than 7.68.

Answer

The point estimate of the mean is [tex]\= x = 32[/tex]

The margin of error is  [tex]E =6[/tex]

Explanation

From the question we are told that

    The lower bound of the interval is  [tex]a = 26[/tex]

     The upper bound of the interval  is  [tex]b = 38[/tex]

Generally the point estimate of the population mean is mathematically represented as

            [tex]\= x = \frac{a +b}{2}[/tex]

=>          [tex]\= x = \frac{26 +38}{2}[/tex]

=>          [tex]\= x = 32[/tex]

Generally the margin of error is mathematically represented as

             [tex]E = \frac{ b- a}{2}[/tex]

=>         [tex]E = \frac{ 38- 26}{2}[/tex]

=>         [tex]E =6[/tex]

Answer:

The radius of the circle is: 4.09 cm

Step-by-step explanation:

Assuming the shape to be a circle.

The perimeter of a circle is called circumference and is given by the formula.

[tex]C = 2\pi r[/tex]

For the time being, we know

[tex]\pi = 3.142\\C = 25.71cm[/tex]

Putting the values in the formula we get: as x is the radius

[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]

Hence,

The radius of the circle is: 4.09 cm

Answer: Yes, if there is no number in front of a variable(or letter, as you said), it is actually 1.

a = 1a

x^2 = 1x^2

2m + n = 0 means 2m + 1n = 0

Step-by-step explanation:

Answer:

its not

Step-by-step explanation:

because the x equals 4 so it will be 4+3+4=9 because 3+4 equals 5 so you add 4 and get 9

Answer:

The answer is C inconsistent

Step-by-step explanation:

Answer:

The answer is "$3640.58"

Step-by-step explanation:

This question is incomplete, that's why we add another question in the attached file. Please find it.

P = [tex]\$ \ 1300[/tex] and effective per year is = interest rate per year = 7.2  

Total  [tex]\$ \ 1300[/tex] due after 8 years is P+PRT:

[tex]\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8[/tex]

[tex]\to Total \ X = \$ \ (7000-2048.8) \\\\[/tex]

[tex]= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\[/tex]

The number of dollars is X [tex]= \frac{4951.2}{1.36} = \$ \ 3640.58[/tex]

Answer:

3

Step-by-step explanation:

1/2+5/2=    6/2=    3/1=       3

I hope this helps you and good luck!

Answer:

The diagram can't be seen

Step-by-step explanation:

.... Sry.. I can't solve this one... I can't see the diagram

Answer:

The values is  [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]

Step-by-step explanation:

From the question we are told that

  The lower limit of the interval is  a = 43 minutes

   The upper limit of the interval is  b  =  57 minutes

Generally the probability distribution function of  uniform distribution is mathematically represented as

          [tex]F(x) = \left \{ {{\frac{1}{(b - a)}\ \ \ for \ x \ \epsilon\ | a, b | } \atop {0 } \ \ \ \ \ \ otherwise} \right.[/tex]

Generally the probability it takes between 52.3 and 54.7 min is mathematically represented as

       [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {F(x)} \, dx[/tex]

=>  [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{57- 43} } \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = \int\limits^{52.4}_{54.7} {\frac{1}{14} } \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } \int\limits^{52.4}_{54.7} \, dx[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = {\frac{1}{14} } [x] \ | \left 54.7} \atop {52.3}} \right.[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = \frac{54.7 -52.3}{14}[/tex]

=>   [tex]P(52.3 < X < 54.7 ) = 0.17142[/tex]

Answer:

X=37/64

Step-by-step explanation:

64x=37

x=37/64

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

Answer:

9991

Step-by-step explanation:

103 × 97

(100 +3) (50+47)

get two number which you can add to get the value in the question

n then expand

100(50+47) +3(50+47)

5000+4700+150+141

9991

Answer: You got 80% right

Step-by-step explanation: 100÷20=5     5×16=80

PLEASE MARK ME BRAINLIEST

80% got the right answers out of 20 questions.

percentage, a relative value indicating hundredth parts of any quantity.

The number of questions are twenty 20.

Out of this 20 questions 16 questions are correct.

We need to find the percentage of the right answers.

20x=16

Divide both sides by 20

x=16/20

x=0.8

Now to find the percentage multiply x value with 100 as it is a hundredth part.

0.8×100=80%

Hence, 80% got the right answers out of 20 questions.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

12²

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

12² + 10 × 2 - (9 + 6) ÷ 5

Step 2: Steps

We do parenthesis first, so (9 + 6) is the first thing we do.

The next thing we do is exponents (according to BPEMDAS), so we do 12².

Answer:

Following PEMDAS

Next step : Exponents

Next step : Multiplication

Next step : Division

Next step : Addition

Next step : Subtraction

Step-by-step explanation:

12²+10×2-(9+6)÷5

Open parentheses

12²+10×2-15÷5

Exponents : 12²= 144

144+10×2-15÷5

Multiplication : 10×2=20

144+20-15÷5

Division : -15÷5= -3

144+20-3

Add :144+20=164

164-3

Subtract

= 161

Answer:

8

Step-by-step explanation:

Answer:

answer: 15, 28, 20, 36, 21, 18

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

the slope would be the same as line b

Step-by-step explanation:

the slope would be the same as line b because they are both perpendicular to line a, meaning they both have the same slope.

Answer:

mc= 1

Step-by-step explanation:

correct on edge 2020

Answer:

ç sir kasi multiplication gamitinnnyan

Answer:

A

Step-by-step explanation:

Find the area of the square

Area = s^2

s = 8

Area = 64 square feet.

Find the area of 1 circle.

r = d / 2

r = 4 / 2

r = 2

Area of 1 circle = pi r^2

Area of 1 circle = 3.14 * 2^2

Area of 1 circle = 12.56

Area of 4 circles

Area of 4 circles = 4 * 12.56

Area of 4 circles = 50.24

Area of unshaded area

Area of unshaded area = area square - area 4 circles.

Area of unshaded area = 64 - 50.24

Area of unshaded area = 13.76

Answer:

The probability is 0.173

Step-by-step explanation:

The probability is of winning is 0.75 = 75/100 = 3/4

This means that the probability of losing is 0.25 = 25/100 = 1/4

So if they are two win 4 games, they will lose three

We can get this probability using the Bernoulli approximation of the binomial theorem

So here, we have

P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3

= 0.173034667969

which is approximately 0.1730

Answer:

1708.14 rounded

Step-by-step explanation:

Y= a•b^x

5.5% = 0.055

1+0.055=1.055

Y= 1000•1.055^10

Y= 1708.14

Answer:

15/28 simplified to 5/8 (credit to other answer.)

Step-by-step explanation:

Multiply the top numbers 3*5 which equals 15 and then multiply the bottom numbers 4 and 7 for 28. Put 15 over 28.

Answer:

10 gallons per hour

Step-by-step explanation:

1/4x4=1. 2 1/2x4=10. Hope it helps!

Answer:

YEEYEE

Step-by-step explanation:

Answer:

the remainder is 5. 2,786 R 5