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gogolik [260]
3 years ago
5

Solve by using substitution. Express your answer as an ordered pair.

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

c. 2,4

Step-by-step explanation:

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Hisham is saving to buy a video game system. every month he spends $30 of what he earns. after four months, he has saved $300. h
marta [7]
I think its $75 per month cause 300÷4 equals 75
4 0
3 years ago
Each big square below represents one whole.<br><br> what percent is represented by the shaded area?
morpeh [17]

Answer:

100/27

Step-by-step explanation:

6 0
2 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
5 0
3 years ago
Locate the mean of 2046,971,3113,and 1850.
Debora [2.8K]
To find the mean, you have to add all the numbers then divide it by how many numbers there are.

In this case, you'll need to add all those numbers and divide it by 4.
2046+971+3113+1850=7980\\7980\div4=1995

The mean is 1995.
7 0
3 years ago
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