Start fraction two minus five x over negative three end fraction plus four less than negative x

In the right triangle shown, A= 30° and AB = 8.

zloy xaker [14]

Answer:

$BC=4\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

$sin(30^o)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

we have

$AB=8\ units\\\\sin(30^o)=\frac{1}{2}$

solve for BC

$BC=sin(30^o)(AB)$

substitute the values

$BC=(\frac{1}{2})(8)$

$BC=4\ units$

4 0

2 years ago

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s

Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

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

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

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

60 out of 100 scores are passing scores, hence $n = 100, \pi = \frac{60}{100} = 0.6$

95% confidence level

So $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7$

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0

2 years ago

Find the next 3 terms in the sequence 1, 1, 2, 3, 5, 8, . . .

Lynna [10]

Easy.
C
Characterstofilluptherequiredammount

4 0

3 years ago

In a test of the effectiveness of garlic for lowering cholesterol, 64 subjects were treated with raw garlic. Cholesterol levels

Nata [24]

Answer:

There is enough evidence to support the claim

Step-by-step explanation:

We are conduction a hypothesis test for dependent samples. We want to see if there was a change in the test subjects cholesterol levels.

For our situation:

n = 64

d = 0.7

s = 1.72

µ(d) = 0

The hypothesis are:

H0: µ(d) = 0

Ha: µ(d) > 0

This is a right tailed test.

We are testing at the 1% level of significance. Our critical region is z > 2.325

If our test statistic is in this region, we will reject the null hypothesis

See attached photo for the calculation of the test statistic and conclusion of the test

7 0

3 years ago

The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball cour

lukranit [14]

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

8 0

2 years ago

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