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Vesnalui [34]
3 years ago
14

A diver descends to a location of -50 1 over 4 meters relative to the surface of the water. He then descends another 10 1 over 2

meters. What is the diver's final location relative to the surface of the water? Enter your answer as a simplified mixed number in the box

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer:

The correct answer is -60  3/4

Step-by-step explanation:

Yanka [14]3 years ago
3 0

Answer:

-60\frac{3}{4} meters.

Step-by-step explanation:

To find diver's final location relative to the surface of water we will subtract  10\frac{1}{2} from -50\frac{1}{4} because diver dives away another 10\frac{1}{2} from his previous location of -50\frac{1}{4}.

-50\frac{1}{4} -10\frac{1}{2}

Now we will convert our mixed fraction into improper fraction and then we will find a common denominator.

\frac{-201}{4} -\frac{21}{2} =\frac{-201-42}{4}

=\frac{-243}{4}

Now let us convert our answer in mixed fraction.

=\frac{-243}{4}=[tex]-60\frac{3}{4}[/tex]

Therefore, diver's final location relative to the surface of the water is -60\frac{3}{4} meters.

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m_a_m_a [10]
It would be 7 because -3 times 5
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3 years ago
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confide
kari74 [83]

Answer:

The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $60

<em>MOE</em> = $2

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the sample size as follows:

MOE=z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

       n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}

          =[\frac{1.96\times 60}{2}]^{2}

          =3457.44\\\approx 3458

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.

8 0
3 years ago
Ms. Simpson gives her class the following problem:Simplify: 3 (x-2) + 6x. Mikey
Schach [20]

Answer:

first off, when did Marge become a teacher

Step-by-step explanation:

Second off, he didn't flip the sign inside of the parentheses.

3 0
3 years ago
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Write and evaluate the expression. Then, select the correct answer.
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Answer:

9

Step-by-step explanation: So we need to write and solve an equation to solve for m, which is 12. Simply plug in 12 for m in the equation.

Step 1: 2-x/4+10

Step 2: 2-12/4+10

Step 3: 2-3+10  

Step 4: -1+10=9

Plug 12 in for x

12 divided by 4 is 3 and 2-3 is -1

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i hop it help u

4 0
4 years ago
Maurice and his father are building a dog house. They are using long pieces of wood and cutting them into smaller pieces. They h
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Answer:

4.8 smaller pieces

Step-by-step explanation:

Total length of wood = 3.6 feet

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How many smaller pieces will they be able to make?

Number of smaller pieces of wood = Total length of wood / Length of each piece

= 3.6 feet / 0.75 feet

= 4.8 smaller pieces

Number of smaller pieces of wood = 4.8

7 0
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