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3 years ago

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Mathematics

2 answers:

miv72 [106K]3 years ago

5 0

Answer:

32 square inches

Step-by-step explanation:

Area of a parallelogram

= b x h

Given

Base b = 8 inches and

Height h = 4 inches

Area = 8 x 4

= 32 square inches

Lisa [10]3 years ago

3 0

A parallelogram has two congruent bases, so the bases are equal to 4 in. The area of a parallelogram is the base multiplied by the height, which would be 4^2, or 16in^2.

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There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangl

kap26 [50]

Answer:a

Step-by-step explanation:

7 0

2 years ago

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Solve the following equation for y: 35x - 7y = 49, what is the slope?

agasfer [191]

Answer:

y = 5x - 7

slope = 5

Step-by-step explanation:

35x - 7y = 49

Subtract 35x from both sides.

-7y = -35x + 49

Divide both sides by -7.

y = 5x - 7

The equation is now in the slope-intercept form, y = mx + b, where m is the slope.

slope = m = 5

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2 years ago

In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

Find the 12th term of the sequence -15,-9,-3, 3

Reika [66]

First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
= -15 + 11×6
= -15+66
= 51

4 0

3 years ago

A scuba diver was at a depth of 125 feet below sea level. He descends 205 more feet below sea level. What is the new depth of th

EleoNora [17]

Answer:

The new depth of the scuba diver is 330 feet below sea level.

Step-by-step explanation:

125 + 205 more below sea level = 330 below sea level

4 0

2 years ago