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VLD [36.1K]
3 years ago
6

Write the expression in simplest form

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

Answer:

88 - 105c

Step-by-step explanation:

Hey there!

<em>Step 1: Collect like terms.</em>

(50 + 38) + (-62c - 43c)

<em>Step 2: Simplify.</em>

88 - 105c

~I hope I helped you! :)~

attashe74 [19]3 years ago
8 0

Answer: 88-105c

Step-by-step explanation:

Combine like terms

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we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

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

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
Solve for In(5z + 7) – 8
Elden [556K]

Step-by-step explanation:

In×5z+In×7

=1.67z +1.95-8

=1.67z-6.05

6 0
3 years ago
The Knicks and Nets have a total 30 players.
Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

K + N = 30

20K + 10N = 500

where K is the number of Knicks players, and N is the number of Nets players.

We can substitute the first equation into the second and solve for K

K + N = 30

N = 30 - K

20K + 10N = 500

20K + 10(30 - K) = 500

20K + 300 - 10K = 500

10K + 300 = 500

10K = 200

K = 20

5 0
3 years ago
What solves for the variable? (g + 7) / 7 = 3<br><br> Thanks :)
sveta [45]

Answer:

g=14

explanation:

4 0
3 years ago
A company has installed new machinery that will produce a savings rate (in thousands of dollars per year) of S'(x) = 225-x^2, wh
Kipish [7]

Answer:

After 15 years the use of said machine is no longer profitable

Step-by-step explanation:

it should be used, as long as the money generated is not smaller as the costs generated. By setting both formulas equal (calculating the x value for when they are equal) you get x = 15 and x = -2.5(which doesnt make sense in this context).

3 0
3 years ago
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