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Dovator [93]
3 years ago
6

The data manager for a state political party gathered data to determine how many citizens would support the party's senate candi

date. He polled citizens in 30 similarly sized senate districts and found a sample mean of 70,438 citizens. Statewide data shows that the population standard deviation is 645.3. What is the approximate 90% confidence interval for this situation?
Mathematics
2 answers:
Mama L [17]3 years ago
8 0

Answer:

The approximate 90% confidence interval is;

70,244 to 70,732

Step-by-step explanation:

Here, we want to calculate the approximate 90% C.I for the situation

Mathematically;

CI = mean ± (z * SD)/√n

From the question;

mean = 70,438

SD = 645.3

n = 30

we can get z from the CI table

90% CI is same as; 1.645 z-score

So , substituting these values;

CI = 70,438 ± ( 1.645 * 645.3)/√30

CI = 70,438 ± 194

So the CI = 70,438 -194 to 70,438 + 194

= 70,244 to 70,732

erastova [34]3 years ago
4 0

Answer:

B. 70,244 and 70,632

Please give me brainliest, I really need it.

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Katyanochek1 [597]

Answer:

Ms. Montesinos has 5 fish in her tank

Step-by-step explanation:

a) Let y = the amount of fish Ms. Montesinos

b) 3y-2=13

c)

3y-2+=13+2

3y/3=15/3

y=5

6 0
3 years ago
Nine times the sum of a number and 4 is 2
Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

7 0
3 years ago
What is the value of the expression 4x−y/2y x when x = 3 and y = 3? −3 1 9 18
ziro4ka [17]
(4x - y)/(2y + x) when x = 3 and y = 3 is
(4(3) - 3)/(2(3) + 3) = (12 - 3)/(6 + 3) = 9/9 = 1

5 0
3 years ago
Find the missing measure for a right circular cone given the following information. Find L.A. if r = 6 and h = 8 48 60 96
svetlana [45]
\bf \textit{lateral area of a cone}\\\\
LA=\pi r\sqrt{r^2+h^2}\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=6\\
h=8
\end{cases}\implies LA=\pi(6)\sqrt{6^2+8^2}
\\\\\\
LA=6\pi \sqrt{100}\implies LA=6\pi (10)\implies LA=60\pi
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3 years ago
The 100th term of ​ 70, 100, 130
fgiga [73]

Answer:

3040

Step-by-step explanation:

given arithmetic progression is

70,100,130,...

here

first term (a)=70

common difference (d)=100-70=30

number of term n=100

using the formula of arithmetic progression

an=a+(n-1)d

a100=70+(100-1)30

a100=70+99×30

a100=70+2970

a100=3040

6 0
2 years ago
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