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2 years ago

10% of an amount is 6.2 . Wirk out the original account

Mathematics

1 answer:

lesantik [10]2 years ago

5 0

Answer:

the original amount was 62

Step-by-step explanation:

You can use the part over whole formula like this:

$\frac{part}{whole} = ( \frac{6.2}{?} * \frac{10}{100})\\ ? = 62$

why?

because we know that 10% = 10/100, we can easily find out the answer by cross multiplying

? * 10 (let's use x, instead of ?)

=10x

6.2 * 100

= 620

Now we have an equation that looks like this: 10x = 620

By using the inverse operation tool (dividing each side by 10 to isolate x) we have:

x (or ?) = 62

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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

What is the midpoint of the line segment with endpoints?

ella [17]

Answer:

B. (1,2)

Step-by-step explanation:

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6 0

3 years ago

I will mark branliest if correct

marishachu [46]

Answer:

I believe it would be 1

Step-by-step explanation:

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3 years ago

9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

wolverine [178]

Answer:

Step-by-step explanation:

9x + 9 = 25 + x

8x = 16

x = 2

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2 years ago

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ForEASY BRAINLIEST!!! Answer: A. B. C.

Levart [38]

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

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3 years ago

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10% of an amount is 6.2 . Wirk out the original account​

10% of an amount is 6.2 . Wirk out the original account