The mean of 10 scores is 11.6. What is the sum of the scores?

For the vector field $\mathbf{D}=\hat{\mathbf{R}} 3 R^{2}$, evaluate both sides of the divergence theorem for the region enclosed between the spherical shells defined by R=1 and R=2.

Rewrite each expression as a repeated multiplication in three ways: using X, $\cdot$, and parentheses.

a. $3^4$ b. $5^6$ c. $\left( \frac{ 1 }{ 2 } \right)^3$

In 2015, Quapau Products introduced a new line of hot water heaters that carry a one-year warranty against manufacturer’s defects. Based on industry experience, warranty costs were expected to approximate 5% of sales revenue. First-year sales of the heaters were $300,000. An evaluation of the company’s claims experience in late 2016 indicated that actual claims were less than expected—4% of sales rather than 5%. Assuming sales of the heaters in 2016 were$350,000 and warranty expenditures in 2016 totaled $12,000, what is the 2016 warranty expense?

Use completing the square to describe the graph of each function. Support your answers graphically. ƒ(x) = 2x² + 6x+7

A single die is rolled. Find the probability of rolling an odd number or a number less than 4.

How much force would you need to cause a 20-kilogram object to accelerate in a straight line to 20 m/s^2?

Solve the equation.

$$\sqrt { x + 6 } - \sqrt { 2 x - 4 } = 0$$

Determine the inverse Laplace transform $f(t)$ of the function $F(s)= \frac{5}{s^{2}+s-6}$.

Make an order-of-magnitude estimate of the quantity. -The width of the smallest object that can be located using sound in the range of human hearing.

Find the solution of the equation if the replacement sets are x: {1, 3, 5, 7, 9} and y: {6, 8, 10, 12, 14}. 4y = 32

A random sample of the weekly supermarket bills for a number of families was observed and recorded in the table given. a. Find the mean bill and the standard deviation of the bills.b. Find unbiased estimates of the mean and variance of the population from which the data was taken.

$$\begin{matrix} Bill (\$) & \text{No. of families}\\ \text{70-79.99} & \text{27}\\ \text{80-89.99} & \text{32}\\ \text{90-99.99} & \text{48}\\ \text{100-109.99} & \text{25}\\ \text{110-119.99} & \text{37}\\ \text{120-129.99} & \text{21}\\ \text{130-139.99} & \text{18}\\ \text{140-149.99} & \text{7}\\ \end{matrix}$$

The weights of ten young turkeys to the nearest 0.1 kg are: 0.8, 1.1, 1.2, 0.9, 1.2, 1.2, 0.9, 0.7, 1.0, 1.1 a. Find the mean and standard deviation for the turkeys. b. After being fed a special diet for one month, the weights of the turkeys doubled. Find the new mean and standard deviation. c. Comment, in general terms, on your findings from a and b.

The table below gives the distribution of the life of electric light globes. Draw an ogive for the data and use it to estimate: a. the median life of a globe b. the percentage of globes which had a life of 2700 hours or less c. the number of globes which had a life between 1500 and 2500 hours.

$$\begin{matrix} \text{Life(hours)} & \text{Number of globes}\\ 0 \leqslant l<500 & \text{5}\\ 500 \leqslant l<1000 & \text{17}\\ 1000 \leqslant l<2000 & \text{46}\\ 2000 \leqslant l<3000 & \text{79}\\ 3000 \leqslant l<4000 & \text{27}\\ 4000 \leqslant l <5000 & \text{4}\\ \end{matrix}$$