The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

Answers

Answer 1

Answer:

The inequality that represents this scenario is:

$5 + 2.75x \le 21$

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

$5 + 2.75 * x \le 21$

$5 + 2.75x \le 21$

Hence, the inequality that represents this scenario is:

$5 + 2.75x \le 21$

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How did you do this question?

90 percent confidence interval for the proportion difference p1−p2 was calculated to be (0.247,0.325). Which of the following conclusions is supported by the interval?A. There is evidence to conclude that p1>p2 because 0.325 is greater than 0.247.
B. There is evidence to conclude that p1C.There is evidence to conclude that p1>p2 because all values in the interval are positive.
D. There is evidence to conclude that p1E. There is evidence to conclude that p2>p1 because 0.247 and 0.325 are both greater than 0.05.

Answers

You can use the fact that the 90% confidence interval given is all positive value for the test statistic being the difference of $p_1$ and $p_2$ .

The conclusion that is supported by the given confidence interval is given by:

Option C: There is evidence to conclude that $p_1 > p_2$ because all values in the interval are positive.

How can we conclude that there is evidence that $p_1 > p_2$ ?

Since it is given that the difference is measured by $p_1 - p_2$ ,

and since the given confidence interval at 90% confidence for that difference is obtained to be (0.247,0.325), thus we can say that 90% difference value of $p_1 - p_2$ , will be lying in that given interval.

Since the interval is all positive, thus we can say that 90% of the times, the difference $p_1 - p_2$ will be positive which indicates that $p_1 > p_2$

Thus, the conclusion that is supported by the interval is given by:

Option C: There is evidence to conclude that $p_1 > p_2$ because all values in the interval are positive.

Learn more about confidence interval here:

brainly.com/question/14562078

Answer:

Step-by-step explanation:

Statistics!!

When we have a confidence interval for the difference in proportions or means, our null hypothesis is always that there's no difference. (H0 = p1-p2 = 0.)

If the difference is positive, that means we have sufficient evidence p1>p2.

If it's negative, then we have sufficient evidence p2>p1.

Why not A: incorrect interpretation of the interval

Why not B: doesn't look like a complete answer

Why not D: also doesn't look like a complete answer

Why not E: this confuses the definition of alpha-level and p-value with confidence interval values. If those were p-values and greater or less than an alpha-level, we would reject or fail to reject the null hypothesis. That isn't the case here.

A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?

Answers

um about 300 frtt long

Answer: 580

Step-by-step explanation:

A fence is usually a rectangle shape in these questions

Perimeter of a rectangle is P = 2l + 2w

P = 2(170) + 2(120) = 580

As you go higher up on a mountain,the climate ALWAYS becomes _____A.drier
B.hotter
C.colder
D. Wetter

Answers

C, Colder. :) Above a certain level, the atmosphere loses heat to space faster than is can be warmed either directly (by sunlight) or indirectly (from the ground) so it gets colder and colder. Hope this helps :)

D. Colder is your answer

Z=15+2(x+y) solve for x

Answers

Z=15+2(x+y)
Use distributive property
Z= 15 + 2x + 2y
Subtract 2y from both sides
Z - 2y= 15 + 2x
Subtract 15 from both sides
Z - 2y - 15= 2x
Divide 2 on both sides
Final Answer: Z - 2y - 15(All over 2)= x

z=15+2x+2y
0=15+2x+2y-15
-2x=15+2y-15
$x= -(15)/(2) - y + (15)/(2)$

Simplity 1-5(3 + 2-3)?

Answers

Answer:

-9

Step-by-step explanation:

1 - 5 (3 + 2 - 3)

1 − 5 (5 − 3)

1 - 5 x 3

1 - 10

-9

Use pemdas

3+2 -3 = 2
1-5 = -4
-4 x 2 = -8
I hope that helps!

The Food and Drug Administration (FDA) is a U.S. government agency that regulates (you guessed it) food and drugs for consumer safety. One thing the FDA regulates is the allowable insect parts in various foods. You may be surprised to know that much of the processed food we eat contains insect parts. An example is flour. When wheat is ground into flour, insects that were in the wheat are ground up as well. The mean number of insect parts allowed in 100 grams (about 3 ounces) of wheat flour is 75. If the FDA finds more than this number, they conduct further tests to determine if the flour is too contaminated by insect parts to be fit for human consumption. The null hypothesis is that the mean number of insect parts per 100 grams is 75. The alternative hypothesis is that the mean number of insect parts per 100 grams is greater than 75. Is the following a Type I error or a Type II error or neither? The test fails to show that the mean number of insect parts is greater than 75 per 100 grams when it is. Group of answer choices Type I error Type II error

Answers

Answer:

Type II error

Step-by-step explanation:

Let's remember the definition of Type I error and Type II error:

A type I error is the rejection of a true null hypothesis, this means that we would get a "false positive" with this error.

A type II error is the non rejection of a not true null hypothesis, this error would give us a "false negative".

In this problem the mean number of insect parts per 100 grams is 75. However, the test fails to show that this number is greater than 75 when it is, this means that the test is not detecting these insect parts and therefore is giving a "false negative"

Thus, this is a Type II error.

Final answer:

This situation is an example of a Type II error. This occurs when the test fails to reject the null hypothesis when it should be rejected. In this context, it means the test was unable to detect the actual average content of insect parts is higher than the allowable limit.

Explanation:

The situation presented constitutes a Type II error in the field of hypothesis testing in statistics. A Type II error occurs when the tester fails to reject the null hypothesis when it should be rejected. In this context, it means the test failed to show that the mean number of insect parts per 100 grams is greater than 75, when in fact, it is. This can potentially mean allowing more contaminated flour into the market because the test did not pick up on the true mean being higher than 75 insect parts per 100 grams.