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3 years ago

Given parallelogram ABCD, solve for X

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Opposite sides of a parallelogram are congruent, so make BC and AD equal to each other in an equation.

BC = AD

16 + 2x = 10 + 8x

Subract 2x from both sides.

16 = 10 + 6x

Subtract 10 from both sides.

6 = 6x

Divide both sides by 6.

x = 1

B) 1 is your answer.

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3 years ago

"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o

liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54$

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

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3 years ago

F (x) 15x + 13 Which is the average rate of change over for the interval 0 < x < 10?

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3 years ago

Evaluate 2^2⋅4^3= Your answer

ivanzaharov [21]

Answer:

256

Step-by-step explanation:

First, handle the exponent:

2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)

Now multiply those two outcomes:

4*64=256

This equation is also known as 4⁴

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3 years ago