{[(9 − 2) × 3] + 3} − 5 =

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 7.9[/tex]

The alternate hypothesis is:

[tex]H_{a}: \mu \neq 7.9[/tex]

The test statistic is:

[tex]z = \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.

The hypothesis tested means that [tex]\mu = 7.9[/tex]

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that [tex]\sigma = 0.2[/tex]

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that [tex]X = 7.3, n = 21[/tex]

The test statistic is:

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

[tex]z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}[/tex]

[tex]z = -13.74[/tex]

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

[tex]z = -13.74[/tex] has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

9514 1404 393

Answer:

  A, D

Step-by-step explanation:

Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.

The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...

Answer:

Radius of convergence is 1/10

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

x=6,1,5 is your answer look it once

Answer:

2/3

Step-by-step explanation:

Answer:

17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)

Step-by-step explanation:

18 .

21; 17.5; 14; 10.5; and 7

3 x 7 = 21

2.5 x 7 = 17.5

2 x 7 = 14

1.5 x 7 = 10.5

1 x 7 = 7

The inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 represent the scenario provided option (A) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Greg sells the T-shirts for $7 each and the shorts for $14.

Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts

Let s is the number of shorts

Let t is the number of t-shirts

We can formulate the inequality based on the data provided:

s ≥ 12 - t

s ≤ 22 - t

0.25t + s ≤ 15

s ≥ 0; t ≥ 0

Thus, the inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 representing the scenario provided option (A) is correct.

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9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

Answer:

2

Step-by-step explanation:

Answer:

Window :D

Step-by-step explanation:

Okay but it's 2 I gotchu bro

it's a prism that is good question it's a prism ok a prism

Answer:

A prism.  A pyramid would look a little different, and flat too.

Hope that helps!

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

Answer:

7.5 bags of snack mix, 3.5 bottles of water.

Step-by-step explanation:

This can be found by looking at a system of equations. Setting up our system, we know that they bought 11 items, and that there was a total of $20. Our system would be this:

[tex]x+y=11\\2.5x+1.25y=20[/tex]

We can then solve for a variable in any equation. Let's solve for x in the second equation.

[tex]2.5x+1.25y=20\\2.5x=20-1.25y\\x=8-0.5\\x=7.5[/tex]

Now, we substitute into the other equation.

[tex]x+y=11\\7.5+y=11\\y=11-7.5\\y=3.5[/tex]

We now know both amounts; they bought 7.5 bags of snack mix and 3.5 bottles of water.

Answer:

B

Step-by-step explanation:

Add 8 to half the difference of 6 and 2, then subtract 1. Therefore, the option B is the correct answer.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given expression is 8+ 1/2×(6-2)-1

= 8+1/2×4-1

= 8+2-1

= 10-1

= 9

Therefore, the option B is the correct answer.

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Answer:

Step-by-step explanation:

20 times pop. of Panama = 20×(4×10⁶) = 80×10⁶ = 8×10⁷

Population of Thailand = 7×10⁷ < 8×10⁷

pop of Thailand is less than 20 times pop of Panama.

Answer:

x = 58°

Step-by-step explanation:

cos x = 9/17 = 0.5294

x = 58.03°

Answer:

your answer will be

2 and 1/12

Step-by-step explanation:

hope it helps you

have a great day!!

8.3 (repeating) percent or 2 out 24 children

Answer:

The anwser i think it's D

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

x - 90 = 22

add (solve for x)

x = 112

Answer:

4/7

Step-by-step explanation:

numbers between 8 to 15 is 7

so d even numbers are 4

that is d answer is 4/7

The probability that the number is an even number is 1/2.

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

[tex]\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the number is an even number is 1/2.

Learn more about probability here;

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Answer:

if we are doing the same thing it should be D-Andy’s study shows neither correlation nor causation.

Step-by-step explanation:

The average energy of the class after a different number of hours is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph,

We can make two ordered pairs (x, y).

Where y = average energy level and x = the number of hours.

Now,

From the graph, we see that,

The average energy after 1 hour = 7

The average energy after 2 hours = 8

The average energy after 3 hours = 5

The average energy after 4 hours = 5

The average energy after 5 hours = 4

The average energy after 6 hours = 5

The average energy after 7 hours = 3

Thus,

The average energy of the class after a different number of hours is given above.

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Answer:

The percentage increase in [tex]T[/tex] is 20 %.

Step-by-step explanation:

Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:

Initial value

[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)

Final value

[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]

[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)

(1) in (2):

[tex]T_{ii} = 1.2\cdot T_{i}[/tex]

And the percentage increase in T is:

[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)

[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]

[tex]\%T = 20\,\%[/tex]

The percentage increase in [tex]T[/tex] is 20 %.

Answer:

Step-by-step explanation:

Lets subsitute k, x and y as  100 to make it easier for us

So k = 100, x = 100, y = 100

Step 1 :-   T = kx/y

- T = 100 * 100 / 100 = 100

Step 2 :- Increase by 20% = 100 * 20% = 20,    100 + 20 = 120

Step 3 :- Percentage Increase = Increased value OVER original calue          MULTIPLIED by 100%

SO = ( 120 - 100 ) ,,,,   20/100 * 100% = 0.2* 100 = 20%

Answer:

2(1.75+3.00) and 3.50x+6.00

Step-by-step explanation:

have a great day :D

Step-by-step explanation:

D

Answer:

3

Step-by-step explanation:

I did the math

Answer:

3

Step-by-step explanation:

Answer:

183/25 is an equivalent fraction form for decimal 7.32

Step-by-step explanation:

Answer:

7 8/25

Step-by-step explanation: 183/25 = 7 8/25 = 7.32

Answer:

A = pi 9/16  cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi  = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16  cm^2

Answer:

d) 9/16π cm²

Step-by-step explanation:

Circumference = 3/2π cm

diameter = 3/2 cm

radius = 3/2 ÷ 2 = 3/4 cm

area = π(3/4)² = 9/16 π cm²

Answer: The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

      x ≥            ⇒     x    ≥            ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75