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4vir4ik [10]
3 years ago
8

Can someone help me with this (picture)

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0
Use (SOH CAH TOA) to make it easy
You want to find the angle, you have the opposite and the adjacent. Therefore, we’ll use sin.

sin x= opp/adj
x= sin^-1(27/48)
x= 34.2

Hope it is useful!!
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There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am
Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
A company’s sales decreased 5% this year to $6,585. What were their sales last year?
Feliz [49]

Answer:

$6932

Step-by-step explanation:

Let last year's sales = x.  Since there was a decrease of 5%, that means this year's sales are 95% of last year's sales.

So, .95x = 6585

x = 6932 to the nearest dollar

5 0
3 years ago
A bag contains 21 red marbles, 4 white marbles, and 3 gray marbles. You randomly pick out a marble, record its color, and put it
Brut [27]
You originally start out with 28 marbles. each marble has a number out of 28 to create a percentage. 21/28 or 75% signifies red, 4/28 or about 14% is white and 3/28 or about 11% is gray. add white and gray, which is 7/28 combined or 25% together. multiply by number of times the process is completed, which is 112 and the final answer is 28
8 0
3 years ago
Please help!! i missed my hw deadline
Paha777 [63]
Bruh i ain't got time for that Goodluck tho
4 0
3 years ago
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