What is the answer of the screen shorted file

The formula for finding the area of a triangle is A = 1/2bh. A triangle has height 12 in. and area 54in^2. What is the length of

KatRina [158]

Answer:

9in

Step-by-step explanation:

54 = 1/2(12*x)

54 = 6*x

x = 9

Check

12 x 9 = 108

108/2 = 54

8 0

3 years ago

What is the missing number ?? /6 =25/30

matrenka [14]

Answer:

5

Step-by-step explanation:

$\frac{25}{30}$ ( divide numerator and denominator by 5 ) , then

$\frac{25}{30}$ = $\frac{5}{6}$ ( with missing number ? = 5 )

8 0

2 years ago

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If a time series plot exhibits a horizontal pattern, then

gogolik [260]

Answer: C. there is still not enough evidence to conclude that the time series is stationary.

Step-by-step explanation: First thing to note for a time series plot is that it is required to select a suitable forecast method for the data set being considered.

A stationary time series means that the process generating the data set has a constant mean and the variations are constant over time. This means all evidence is present leading to the conclusion that the entire time series is stationary. A stationary time series thus exhibits an horizontal pattern which enables an appropriate forecast method to be selected for this type of pattern.

A horizontal pattern of a time series plot indicates that a data set fluctuates around a constant mean for a period of time. This period of time may however not be the entire time of the time series or take the entire data set into consideration and might just be a reflection of a portion of the time series hence why it can not be explicitly considered to be stationary. This means that a horizontal pattern can change into a seasonal or trending pattern if more variables/data are added over time.

For instance, a manufacturer sells a certain amount of products over a 10 week period and the resulting pattern of a time series plot is horizontal, then from the 11th week to the 15th week he gets a sharp and continuous increase in sales. This change in level will therefore change the time series plot from horizontal to trending making it more difficult to select a suitable forecast method.

6 0

3 years ago

While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

Solve the problem that’s given in the image

Aleksandr [31]

Answer:

112 cupcakes were mocha

Step-by-step explanation:

44% of 200 is 88 then subtract 88 from 200. hope this helps

3 0

3 years ago

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