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3 years ago

Nine minus the product of three and a number

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

Answer:

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Step-by-step explanation:

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The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under

umka2103 [35]

Answer:

1. Option A) Reject the null hypothesis

2. Option B) 0.0062

Step-by-step explanation:

We are given the following in the question:

1. Population mean, μ = $1.25 per liter

Sample mean, $\bar{x}$ = $1.20 per lite

Sample size, n = 49

Alpha, α = 0.05

Population standard deviation, σ = $0.14

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.25\text{ dollars per liter}\\H_A: \mu < 1.25\text{ dollars per liter}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{1.20 - 1.25}{\frac{0.14}{\sqrt{49}}}= -2.5$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Option A) Reject the null hypothesis

Thus, there is enough evidence to support the claim that efficiency measures have reduced the prices.

2. We can calculate the p value from the standard table.

P-value = 0.0062

Option B) 0.0062

4 0

3 years ago

Lisa needed 1 cup of white sugar to 2 cups of brown sugar to make one batch of cookies.What would be the ratio of white sugar to

raketka [301]

1 cup : 2 cups of brown sugar

1:2

4 batches of cookies, so multiply both numbers by 4.

4:8

Answer: 4 to 8

4 0

4 years ago

Pls help me!!!!1!yg7yhhy8u

Ray Of Light [21]

Answer:

A and D

Step-by-step explanation:

3 0

3 years ago

A transformation is applied to a figure to create a new figure. Which transformation does not preserve congurence?

arsen [322]

Answer: C. a dialation by a scale factor of 5

Step-by-step explanation:

3 0

3 years ago

You are having a family meeting during the a epidemic. You want to follow the guidelines and know everyone has to stay 6 feet ap

Lady_Fox [76]

Answer:

Total No. of People = 8 people

Total No. of People = 6 people

Hence, we can not fit the same amount of people in both rooms.

Step-by-step explanation:

Here, the dimensions of the room are 12 ft by 24 ft. So, in order to maintain the 6 ft distance, we can allow following number of people in it.

No. of people along 24 ft dimension = 24 ft/6 ft

No. of people along 24 ft dimension = 4

No. of rows along 12 ft dimension = 12 ft/6 ft

No. of rows along 12 ft dimension = 2

So, the total no. of people is given as:

Total No. of People = (People along 24 ft)(Rows along 12 ft)

Total No. of People = (4)(2)

Total No. of People = 8 people

Here, the dimensions of the room are 16 ft by 18 ft. So, in order to maintain the 6 ft distance, we can allow following number of people in it.

No. of people along 16 ft dimension = 16 ft/6 ft

No. of people along 16 ft dimension = 2.67

In order to maintain minimum 6 ft distance the no. of people is rounded down to 2.

No. of people along 16 ft dimension = 2

No. of rows along 18 ft dimension = 18 ft/6 ft

No. of rows along 18 ft dimension = 3

So, the total no. of people is given as:

Total No. of People = (People along 24 ft)(Rows along 12 ft)

Total No. of People = (2)(3)

Total No. of People = 6 people

Hence, we can not fit the same amount of people in both rooms.

8 0

3 years ago

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