Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

A cafeteria serves 340 cups of milk each day. How many pints of milk does the cafeteria serve each day?

poizon [28]

Answer:

170 pints

Step-by-step explanation:

Since 1 cup is equivalent to half of a pint, you would divide the amount of cups by two to get your answer. 340/2=170

5 0

3 years ago

Read 2 more answers

Nonsense will be reported!!

Pavlova-9 [17]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

The required additional information required to prove the Triangles congruent are :

$\qquad \sf \dashrightarrow \: 1. \: X V= FD$

The Triangles will be congruent by HL congruency.

$\qquad \sf \dashrightarrow \: 2. \: MH = MI$

The Triangles are congruent by LL congruency.

$\qquad \sf \dashrightarrow \: 3. \: \angle EDC = \angle VUC$

The Triangles are congruent by HA congruency.

$\qquad \sf \dashrightarrow \: 4. \: \angle J = \angle C$

The Triangles are congruent by LA congruency.

5 0

2 years ago

The Nolansky family has saved $360 as a down payment for a new computer. If x is the monthly payment for one year, the expressio

laila [671]

Answer:

$504

Step-by-step explanation:

since there is 12 months in a year , the family would pay 12$ a year.

12x12= 144

then since they paid a down payment of $360

360+144=504

so they would have paid $504

5 0

3 years ago

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Find the area of the shape shown below.

rusak2 [61]

Answer:

12.5

Step-by-step explanation:

So this is basically a rectangle. You make the 2 triangles a square.

2.5x2.5=6.25

6.25x2=12.5

3 0

3 years ago

Suppose a consumer product researcher wanted to find out whether a highlighter lasted longer than the manufacturer's claim that

rosijanka [135]

Answer:

C) t = 2.635; p = 0.006; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last longer than 14 hours.

Step-by-step explanation:

Data given and notation

$\bar X=14.5$ represent the sample mean

$s=1.2$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =14$ represent the value that we want to test

$\alpha=0.05$ 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 check if the mean is higher than 14, the system of hypothesis would be:

Null hypothesis: $\mu \leq 14$

Alternative hypothesis: $\mu > 14$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a 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:

$t=\frac{14.5-14}{\frac{1.2}{\sqrt{40}}}=2.635$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>2.635)=0.006$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis

The best option would be:

C) t = 2.635; p = 0.006; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last longer than 14 hours.

4 0

3 years ago