The local cafe uses 510 cups of mixed vegetables to make 1,000 quarts of beef barley soup. Each quart of soup contains the same amount of vegetables. How many cups of vegetables are in each quart soup?

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
$\begin{array}{|ccccccc|}\hline 11.8& 7.7& 6.5& 6.8& 9.7& 6.8& 7.3\\ 7.9& 9.7& 8.7& 8.1& 8.5& 6.3& 7.0\\ 7.3& 7.4& 5.3& 9.0& 8.1& 11.3& 6.3\\ 7.2& 7.7& 7.8& 11.6& 10.7& 7.0\\ \hline\end{array}$
a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. $[Hint.?x_j=219.5.]$ (Round your answer to three decimal places.)
MPa
State which estimator you used.
$x$
$p?$
$\frac{s}{x}$
$s$
$\tilde{\chi }$
b) Calculate a point estimate of the strength value that separates the weakest $50\mathrm{\%}$ of all such beams from the strongest $50\mathrm{\%}$.
MPa
State which estimator you used.
$s$
$x$
$p?$
$\tilde{\chi }$
$\frac{s}{x}$
c) Calculate a point estimate of the population standard deviation ?. $[Hint:?x_{i}2=1859.53.]$ (Round your answer to three decimal places.)
MPa
Interpret this point estimate.
This estimate describes the linearity of the data.
This estimate describes the bias of the data.
This estimate describes the spread of the data.
This estimate describes the center of the data.
Which estimator did you use?
$\tilde{\chi }$
$x$
$s$
$\frac{s}{x}$
$p?$
d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)
e) Calculate a point estimate of the population coefficient of variation $\frac{?}{?}$. (Round your answer to four decimal places.)
State which estimator you used.
$p?$
$\tilde{\chi }$
$s$
$\frac{s}{x}$
$x$

The average of 5 numbers is 6. The average of 3 of them is 8. What is the average of the remaining two?

Jack’s height is ${\displaystyle \frac{2}{3}}$ of Leslie’s height. Leslie’s height is ${\displaystyle \frac{3}{4}}$ of Lindsay’s height. If Lindsay is 160 cm tall, find Jack’s height and Leslie’s height?

The given proportion: ${\displaystyle \frac{x-18}{24}=\frac{15}{8}}$

${\displaystyle \frac{9}{4}}$,5 to $2,133:6,\frac{10}{3},20:7$ order ratio from least to greatest

Mr. Krogman usually prices the umbrellas in his store at $8 each. However, on rainy days he increases the price by 75%. How much does he charge for an umbrella on a rainy day?
A $2
B $6
C $9.38
D $14

Whether the given ratios are equivalent ratios or not.
Given:
The given ratios are:
${\displaystyle \frac{8.4}{9.2}\text{and}\frac{8.8}{9.6}}$