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3 years ago

What is the total of cans collected

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

870

Step-by-step explanation:

29x30=870

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What is the area of a triangle with a base of 6m and a height of 7m

Veronika [31]

Answer:

It is 21

Step-by-step explanation:

5 0

3 years ago

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

Factor completely x^2-12x+36

Elenna [48]

Answer:

${(x - 6)}^{2}$

Step-by-step explanation:

$= {x}^{2} - 12x + 36 \\ = {x}^{2} - (6 + 6)x + 36 \\ = {x }^{2} - 6x - 6x + 36 \\ = x(x - 6) - 6(x - 6) \\ =(x - 6)(x - 6) \\ = {(x - 6)}^{2}$

4 0

3 years ago

Plot the line for the the equation on the graph y-2=-2(x+4)

Murrr4er [49]

Y=-2x-8+2
y=-2x-6
if x=0;Y=-6
IF y=0;x=-3
to plot the graph; plot point in -6 y-axis and -3 on the x-axis join them together then extend the line
hope u understood

7 0

3 years ago

Find the area of the shape shown below.

mina [271]

Answer:

28 square units

Step-by-step explanation:

8 0

3 years ago