wayne has a recipe on a 3inch by 5inch index card that he wants to enlarge to 15 inches long. how wide will the enlargement be?

Art [367]

The answer is C，
as she uses SSS to prove its congruent, she uses sides instead of angles so option a and d is not correct. as it needs to prove triangle pqr is congruent to triangle sqr, its not necessary to prove PQ is equal to QR. so the answer is c

7 0

3 years ago

The mean consumption of bottled water by a person in the United States is 28.5 gallons per year. You believe that a person consu

Over [174]

Answer:

$t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707$

$p_v =P(t_{99}$

If we compare the p value with a significance level for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

Step-by-step explanation:

Data given and notation

$\bar X=27.8$ represent the mean for the account balances of a credit company

$s=4.1$ represent the population standard deviation for the sample

$n=1000$ sample size

$\mu_o =28.5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean for the person consume is more than 28.5 gallons, the system of hypothesis would be:

Null hypothesis: $\mu \geq 28.5$

Alternative hypothesis: $\mu < 28.5$

We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since is a one-side lower test the p value would be:

$p_v =P(t_{99}$

In Excel we can use the following formula to find the p value "=T.DIST(-1.707,99)"

Conclusion

If we compare the p value with a significance level for example $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

5 0

3 years ago

Brittany buys 2.55 pounds of turkey for $5.96 per pound and 3.7 pounds of

Galina-37 [17]

Answer:

Brittany needs another $3.7405.

Step-by-step explanation:

Per pound Cost of turkey = $5.96 per pound

The amount Brittany buys the turkey = 2.55 pounds

Brittany's cost for turkey = 2.55 × $5.96 = $15.198

Per pound cost for cheese = $3.35 per pound

The amount Brittany buys the cheese = 3.7 pounds

Brittany's cost for cheese = 2.55 × $3.35 = $8.5425

So,

Brittany's total cost = Turkey cost + Cheese cost

= $15.198 + $8.5425

= $23.7405

As brittany gave the clerk 20 dollars.

So, the amount she further needs will be:

$23.7405 - $20 = $3.7405

Therefore, Brittany needs another $3.7405.

8 0

3 years ago

Consider the following data: x −4−4 −3−3 −2−2 −1−1 00 P(X=x)P(X=x) 0.20.2 0.30.3 0.10.1 0.20.2 0.20.2 Copy Data Step 4 of 5 : Fi

AysviL [449]

Answer:

$P(x\geq -1) = 0.4$

Step-by-step explanation:

We are given the following in the question:

x: −4 −3 −2 −1 0

P(X=x): 0.2 0.3 0.1 0.2 0.2

We have to evaluate

$P(x\geq -1)$

Since it is a discrete probability distribution as

$\displaystyle\sum P(X=x_i) = 0.2 + 0.3 + 0.1 + 0.2 + 0.2 = 1$

We can evaluate the probability as:

$P(x\geq -1) = P(x = -1 + P(x = 0)\\P(x\geq -1) = 0.2 + 0.2\\P(x\geq -1) = 0.4$

Thus, 0.4 is the require probability.

4 0

3 years ago

Solve for q. q/18=5 q=

Nataliya [291]

Answer:

q =90

Step-by-step explanation:

q/18=5

Multiply each side by 18

q/18 * 18=5* 18

q =90

3 0

2 years ago

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