Evaluate 6j+23+kl−3, when j=3, k=7, and l=33.

What is the answer to this question?

katen-ka-za [31]

Answer:

10 in., 18.5 in., 31.5 in.

Step-by-step explanation:

Ask me if you need step-by-step, since the problem seems to be multiple choice.

8 0

3 years ago

If the sales tax rate is 7.25% in California, then how much tax should a merchant charge in San Francisco for the sale of a $15

Semmy [17]

$15 x .0725 = 1.0875 which we have to round to $1.09
Notice how I changed the 7.25% to a decimal .0725 by moving it back two places.

7 0

2 years ago

Read 2 more answers

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur

Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.1 = 0.9$ , so Z = 1.28.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28\frac{1.5}{\sqrt{305}} = 0.1$

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0

3 years ago

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

8 0

3 years ago

The graph below shows the amount of money that a student has in the bank at the end of each week.

storchak [24]

Answer:

The student will have 130 dollars in the bank at the end of week 11.

Step-by-step explanation:

Pattern:

The pattern given by this graphic is that:

For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:

At the end of 6 weeks, he will have $80.

At the end of 7 weeks, he will have $90.

At the end of 8 weeks, he will have $100.

At the end of 9 weeks, he will have $110.

At the end of 10 weeks, he will have $120.

At the end of 11 weeks, he will have $130.

The student will have 130 dollars in the bank at the end of week 11.

7 0

3 years ago