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choli [55]
3 years ago
8

As a birthday gift, Zoey gave her niece an electronic piggy bank

Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0
45 plus 67 gives you a number
You might be interested in
Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
Which equation of the least squares regression line most closely matches the data set?
Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0
3 years ago
Read 2 more answers
A number is x units to the right of 0 on a number line. What do you know about the opposite of the number?
Dmitry_Shevchenko [17]

Answer:

the opposite number is going to be negative because if  x is to the right of the number line then the opposite will be of the left of 0 making the opposite number negative.

Step-by-step explanation:

pls mark brainly i need to lvl up :)

7 0
2 years ago
Write an equation to find the number. Solve. Twenty-four less than 4 times a number is equal to 30 more than -2 times the number
Amanda [17]
4x - 24 = -2x + 30

4x + 2x = 30 + 24
6x = 54
x = 9

answer: the number is 9

5 0
3 years ago
Read 2 more answers
Identify the solution(s) of v2+11v−26=0.
miss Akunina [59]

Answer:

i solved for v and got

v = 2, -13

i hope this helps :]

4 0
3 years ago
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