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Alchen [17]
3 years ago
14

The ratio of the length of a rectangular field to its width is 4:3. If the length of the field is 100 meters, what is the perime

ter of the field, in meters?
Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:

350

Step-by-step explanation:

divide 100/4= 25

25*3=75 so width = 75 meters

perimeter= 2(l+w)

perimeter= 2(100+75)

perimeter= 2(175)

perimeter= 350

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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

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 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
MA_775_DIABLO [31]

Answer: -10

Step-by-step explanation:

If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.

8 0
3 years ago
What is the value of the expression below when w =9 and x=2<br><br> w – 4x
Vera_Pavlovna [14]

Answer:

1

Step-by-step explanation:

9 - 4 x 2

4 x 2 = 8

9 - 8 = 1

8 0
3 years ago
Read 2 more answers
What happenens to the value of the expression 100 -x as x increases
garik1379 [7]
The value of the expression would decrease because if you add more to the smallest number in the subtraction problem the value or the answer decreases
6 0
3 years ago
The Perimeter is x+38
OLga [1]
P=x+38

add all individual sides together (is also the perimeter):
p=(x+3)+(x-5)+x+(x-2)+(x-4)+(x-1)+(x-1)
=7x-10

set both p equal:
x+38=7x-10
38=6x-10
48=6x
8=x

then insert x=8 in all the side/perimeter equations:
p=x+38=8+38=46

sides:
x=8
x-2=8-2=6
x-1=8-1=7
x-4=8-4=4
x-5=8-5=3
x+3=8+3=11
8 0
3 years ago
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