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EleoNora [17]
2 years ago
8

If you deposit checks for $43.95 and $12.39, what is the total deposit? Total Deposit: $

Mathematics
2 answers:
masha68 [24]2 years ago
8 0

Answer:

$56.34

Step-by-step explanation:

chubhunter [2.5K]2 years ago
5 0
The total deposit would be $27.34
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Given the vectors u = <5,-1> and v = <1,12>, find -7u-3v. *
zepelin [54]

You multiply vectors and scalar simply by multiplying each component by that scalar:

-7u = \langle-35,7\rangle,\quad -3v=\langle -3,-36\rangle

Finally, you sum two vectors by summing the correspondent coordinates:

-7u-3v = \langle-35,7\rangle+\langle -3,-36\rangle = \langle-38,-29\rangle

4 0
2 years ago
The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
2 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
5 2/3 divided by 3/2
Zinaida [17]

Answer: 34/9

Step-by-step explanation:

5  2/3  /   3/2

= 17/3  /   3/2

=17/3 x 2/3        [reciprocal]

=34/9

Hope it helped u,

pls mark as the brainliest

^_^

7 0
3 years ago
Read 2 more answers
LAST PROBABILITY QUESTION!!:<br> Whoever gets correct, will get marked brainliest!
hoa [83]

Answer:

7/21

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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