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qaws [65]
3 years ago
8

What is the value of X? Enter your answer as a decimal in the box. Round only your final answer to the nearest 10th.

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0
Use the Law of Sines to find side x.<span> 
x / sin(A) = c / sin(C)</span><span> 
x / sin(61°) = 15 / sin(81°)</span><span> 
x = (sin(61°) x 15) / sin(81°)</span><span> 
x = <span>13.283
Or rounded to 13.3
</span></span>
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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
3 years ago
Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs
Allushta [10]

answer:6

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

Step-by-step explanation:

6 0
2 years ago
What is the surface area of a prism of 5m, 4m, 5m, 7m, 6m
Anit [1.1K]
The surface area is 76m square
4 0
3 years ago
Read 2 more answers
Solve this equation: 4(3x+2)=68
Dafna11 [192]

Answer:

x=5

Step-by-step explanation:

4(3x+2)=68

Divide each side by 4

4/4(3x+2)=68/4

3x+2 =17

Subtract 2 from each side

3x+2-2 = 17-2

3x = 15

Divide each side by 3

3x/3 = 15/3

x =5

7 0
3 years ago
Read 2 more answers
Find the mean of the data in the bar chart below.
nadezda [96]

Answer:

2.5

Step-by-step explanation:

First, you have to add them all up:

1 + 4 + 2 + 3 = 10

Now, since there is 4 PEOPLE, you have to divide it by 4.

10 / 4 = 2.5

And there you go, the answer is 2.5

7 0
3 years ago
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