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3 years ago

What's 84 divided by 10 1/5? Thanks.

Mathematics

2 answers:

slamgirl [31]3 years ago

6 0

Answer:

8.23529412

Step-by-step explanation:

Do long division to get the answer as simple as that!

Digiron [165]3 years ago

3 0

Answer:

168

Step-by-step explanation: (10 1 ÷5) ÷ 84

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The circumference is 1 mile. What is the diameter?

iren2701 [21]

Answer:

Step-by-step explanation:

circumference = 2* pi * radius = 1

-> radius = 0.1592 mile

> diameter = 2* radius = 0.31847 mile

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3 years ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

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4 years ago

Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'. On a coordinate plane, a 6-sided figure has po

jarptica [38.1K]

Answer: I think the answer is C. (2, -4)

Step-by-step explanation:

When you reflect an image across the line Y = -X, you switch and negate both the X and Y-values. So just reverse the coordinate of F'. By doing this, you will get (2, -4).

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4 years ago

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A principle of $3100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 12 years?

Tpy6a [65]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &12 \end{cases} \\\\\\ A=3100\left(1+\frac{0.065}{1}\right)^{1\cdot 12}\implies A=3100(1.065)^{12}\implies A\approx 6600.198$

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3 years ago

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What is 1/4 of a turn

myrzilka [38]

That would be <u>90 degrees</u>, as a quarter of 360 degrees is 90 degrees.

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4 years ago

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