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2 years ago

What is 13/56 + 5/7=

1 answer:

7 0

The question is asking us to calculate : 13/56 + 5/7. To do this we have first to find the common denominator for these fractions. We know that 56 = 7 * 8, so the common denominator is 56. Then we will multiply the numerator and the denominator of the second fraction by 8. 5/7 * 8/8 = 40/56. Finally we will add : 13/56 + 40/56 = 53/56 and that is the final answer, which can not be simplified. Answer: 53/56

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What is the value of y? y = Find the following angle measures. mJKM = ° mMKL

shusha [124]

Answer: ∠JKM = $106\textdegree$ and

∠JKM = $74\textdegree$

Step-by-step explanation:

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So, $10y+6+8y-6=180\textdegree \\\\18y=180\textdegree \\\\y=\frac{180\textdegree}{18\textdegree}\\\\y=10\textdegree$

∠JKM = $10\times 10+6=100+6=106\textdegree$

and

∠MKL = $8\times 10-6=80-6=74\textdegree$

8 0

2 years ago

Read 2 more answers

Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati

KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

According to theorem atleast $1 - \dfrac{1}{k^2}$ percent of data lies within 2 standard deviations of mean.
For k = 3,

$1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%$

Thus, 89% of data lies within three standard deviation of mean.

$\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900$

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0

2 years ago

Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps p

Maru [420]

Answer:

For his balloon to grow bigger, more manure is needed to enhance more growth energy

7 0

2 years ago

A random sample from a normal population is obtained, and the data are given below. Find a 90% confidence interval for . 114 157

melamori03 [73]

Answer:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

Data given: 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545

The confidence interval for the population variance $\sigma^2$ is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^{17} (x_i -\bar x)^2}{n-1}}$

And in order to find the sample mean we just need to use this formula:

$\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample mean obtained on this case is $\bar x= 362.941$ and the deviation s=132.250

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=17-1=16$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a tabel to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,16)" "=CHISQ.INV(0.95,16)". so for this case the critical values are:

$\chi^2_{\alpha/2}=26.296$

$\chi^2_{1- \alpha/2}=7.962$

And replacing into the formula for the interval we got:

$\frac{(16)(132.250)^2}{26.296} \leq \sigma \leq \frac{(16)(132.250)^2}{7.962}$

$10641.959 \leq \sigma^2 \leq 35147.074$

Now we just take square root on both sides of the interval and we got:

$103.160 \leq \sigma \leq 187.476$

And the upper bound rounded to the nearest integer would be 187.

4 0

2 years ago

QUICK QUICK PLZZ! ANSWER QUESTION ONLY 1 MINUTE ONLY WITH SOLUTION! THE YOU WILL BE THE BRAINLIEST

nekit [7.7K]

Answer:

576.2

Step-by-step explanation:

The formula for the area of a triangle is $\frac{bh}{2}$ . Since this square pyramid is essentially four triangles with base length 21.5 feet and height 13.4 feet, we can calculate the area that they take up with the formula $4\cdot \frac{13.4\cdot 21.5}{2}=576.2$ square feet. Hope this helps!

5 0

2 years ago