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inn [45]
2 years ago
14

The large rectangle below represents one whole.

Mathematics
1 answer:
dolphi86 [110]2 years ago
8 0

Answer: 44%

Step-by-step explanation:

There are 25 squares in the rectangle. This means that the percentage of each square is:

= 1/25 * 100

= 4%

There are 11 shaded squares so the percentage represented is:

= 11 * 4%

= 44%

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Find two consecutive odd integers whose product is 99
Illusion [34]
Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0

So the two odd numbers were 9 and 11
8 0
3 years ago
"A laboratory tested 73 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with LaTeX: \sigmaσ = 17.4
Scrat [10]

Answer:

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{17.4}{\sqrt{73}} = 3.99

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 3.99 = 226.01

The upper end of the interval is the sample mean added to M. So it is 230 + 3.99 = 233.99.

The 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is between 226.01 and 233.99 milligrams.

4 0
3 years ago
Simplify the expression:<br><br> q+5(3+6q)
xenn [34]

Answer:

31q+15

Step-by-step explanation:

7 0
3 years ago
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent
olya-2409 [2.1K]

Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

5 0
2 years ago
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Calculate the length of the circumference of a circle with a diameter of 4cm
MakcuM [25]
Length of circumference is 2πr
2 π r and r is equal to 2 cm
I.e 12.5 cm
6 0
3 years ago
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