All categories

3 years ago

If $30 is shared between Deidra and Matthew at a ratio of 2:3 when Deidra got $12 how much will Matthew get?? please help

Mathematics

1 answer:

podryga [215]3 years ago

6 0

Answer:

Matthew gets $18

Step-by-step explanation:

Since Deidra got $12, and they split the $30, Matthew will get $30-$12, or $18. You can also check your answer by finding that 12:18 is in fact a ratio of 2:3 by dividing both sides by 6.

You might be interested in

At the Hula Factory, the assembly line produces 212 leis in a batch. The leis are packaged in boxes with 30 each. If 14 batches

nikklg [1K]

Answer:

197 leis left over

Step-by-step explanation:

14 times 212 = 2968

2968/30 = 98.93

212 times 0.93 = 197

98 packages and 197 leis left over

7 0

3 years ago

A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the popul

love history [14]

Answer:

(47.3, 54.1)

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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 $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

$M = 1.96\frac{10.4}{\sqrt{35}} = 3.4$

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

6 0

3 years ago

an art teacher has 1 1/2 pounds of red clay and 3/4 pound of yellow clay.The teacher mixes the red clay and yellow clay together

Nataly [62]

Well, seeing as how she mixed the clay, she has a total of 2 2/8 pounds clay (unsimplified). Although we don't know how many students she has in one class, with simple division of this number we can figure out how many student can finish the project. Removing the 2/8, we can already tell 2 students can do it, so that's a start. Now to divide the 2 pounds into 8ths. Each pound is enough for 8 students, so the 2 pounds totals to 16. Now add the extra 2 students, it's 18 total students. Hope I explained it well enough!

7 0

3 years ago

Which represents r in terms of A and S?

ladessa [460]

Answer:

$r=\frac{6\sqrt{10AS}}{S\sqrt{\pi }}$