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2 years ago

What are the solutions of the equation? X - 10=3

Mathematics

1 answer:

Nookie1986 [14]2 years ago

4 0

Answer: X = 13

Step-by-step explanation:

10 + 3 = 13

13 - 10 = 3

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A random sample of 10 parking meters in a resort community showed the following incomes for a day. Assume the incomes are normal

GenaCL600 [577]

Answer:

A 95% confidence interval for the true mean is [$3.39, $6.01].

Step-by-step explanation:

We are given that a random sample of 10 parking meters in a resort community showed the following incomes for a day;

Incomes (X): $3.60, $4.50, $2.80, $6.30, $2.60, $5.20, $6.75, $4.25, $8.00, $3.00.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean income = $\frac{\sum X}{n}$ = $4.70

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = $1.83

n = sample of parking meters = 10

$\mu$ = population mean

Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-2.262 < $t_9$ < 2.262) = 0.95 {As the critical value of t at 9 degrees of

freedom are -2.262 & 2.262 with P = 2.5%}

P(-2.262 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.262) = 0.95

P( $-2.262 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu$ < $2.262 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.262 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.262 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.262 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.262 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $4.70-2.262 \times {\frac{1.83}{\sqrt{10} } }$ , $4.70+ 2.262 \times {\frac{1.83}{\sqrt{10} } }$ ]

= [$3.39, $6.01]

Therefore, a 95% confidence interval for the true mean is [$3.39, $6.01].

The interpretation of the above result is that we are 95% confident that the true mean will lie between incomes of $3.39 and $6.01.

Also, the margin of error = $2.262 \times {\frac{s}{\sqrt{n} } }$

= $2.262 \times {\frac{1.83}{\sqrt{10} } }$ = 1.31

4 0

3 years ago

Rewrite 9 over 6 as a equivalent fraction and percent

vovangra [49]

Answer:3/2 and 150%

Step-by-step explanation:

9/6 divided by 3 on both top and bottom and get 3/2

9÷ 6= 1.5 so convert it into a percent! (move the decimal 2 places to the Right) 150%

5 0

3 years ago

2d + 1 = 9 so d = what

weeeeeb [17]

Answer:

d is 4 :))

hope that helped

8 0

3 years ago

Read 2 more answers

A marching band was in a parade. the band members marched in 8 rows. there were 6 band members in each row. explain how the fact

natta225 [31]

If 5 x 6 = 30 you can figure out 8 x 6 by adding 6 three times to 30!

30 + 6 = 36

36 + 6 = 42

42 + 6 = 48 <-- the answer is 48!

6 0

3 years ago

you read online that a 15 ft by 20 ft brick patio would cost about 2, 275 to have professionally installed. estimate the cost of

hoa [83]

That would cost roughly $5,717.83

8 0

3 years ago