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lana66690 [7]
3 years ago
10

Find the ratio of x to y

Mathematics
1 answer:
katrin [286]3 years ago
3 0

Answer:

4/6

Step-by-step explanation:

I have showed the steps in the attached photo.

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There is one fifth of a sandwich to share equally between 2 people. How much of the sandwich will each person get? Use the numbe
babunello [35]

Answer:

one tenth of a sandwich

Step-by-step explanation:

4 0
3 years ago
We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Vladimir [108]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The estimated proportion for this case is \hat p=0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

4 0
3 years ago
Estimate the answer by rounding to the nearest tenth<br> 3.07442 + 1.352
Aliun [14]
3.10+1.40= 4.50 nearest tenth

7 0
3 years ago
A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
3 years ago
Pls help me to do the 1st question
serious [3.7K]

Answer:

a) both have same distance

b) second park has a larger area

Step-by-step explanation:

a) park a: circumference is

75+75+30+ pi*30( the diameter of the inward semi circle is 30)

be also has the same perimeter because the diameter of outward semi circle is also 30

b) in the first park, the semi circle area is cut out

in the second its part of the park

4 0
3 years ago
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