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attashe74 [19]
2 years ago
10

3.

Mathematics
1 answer:
lilavasa [31]2 years ago
4 0

Answer:

32

Step-by-step explanation:

Since there is 112 more red marbles than green marbles,

7 units= 112

1 unit= 112÷7= 16

2 units(no. of blue marbles)=16×2=32

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10m radius. What is the area of the circle? Round your answer to the nearest tenth.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

The area of a circle can be found using:

a=πr^2

We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.

a=π*10^2

Evaluate the exponent

a=π*100

Multiply pi and 100

a=314.159265359

Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.

a=314.2

The area is 314.2 square meters, or choice D

7 0
3 years ago
Read 2 more answers
In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3
Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05

Compute the critical value as follows:

t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31

**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

7 0
2 years ago
How does 5x + 15 = 45 <br> HELP PLZ
likoan [24]

Answer:

When finding these problems we always have to do the opposite of the operation shown.

In this case its:

5x + 15 = 45

Subtract 15 from both sides (we start off with constants and numbers that are being shown) The reason why its subtraction is because since your adding 15 to 5x the opposite of that is subtraction so use the number shown by itself and subtract it from both sides.

5x = 30

Divide by 5 on both sides since the opposite of 5x is division (only use the number that is shown) We have to get rid of all the numbers on the left.

therefore you'll be left with:

X = 6

6 0
3 years ago
Read 2 more answers
If theres tank of 7 fish and 6 of them died. How many fish are there?
sweet [91]

Answer:

1 fish left because you have 7 and your taking away 6.

Step-by-step explanation:

7-6=1

3 0
3 years ago
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What expression is equivalent to 2^-3/2^-5
Gemiola [76]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
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