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3 years ago

What is the answer 4x>8

Mathematics

1 answer:

kow [346]3 years ago

4 0

Answer:

if you want to find the value of x. then it's 2.

Step-by-step explanation:

but I feel like the question given is wrong because

4×2=8

and 8 is supposed to be equal to 8 not larger.

8=8

not

8 >8

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Research suggests that about 60% of CSU graduates started at a community college. In random samples of 100 CSU graduates, the pe

Nesterboy [21]

Answer:

The probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The information provided is:

p = 0.60

n = 100

As n = 100 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportions.

The distribution of sample proportion is $\hat p\sim N(0.60, 0.049^{2})$ .

Compute the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% as follows:

$P(|\hat p-\mu_{\hat p}|=0.05)=P(-0.05$

$=P(\frac{-0.05}{0.049}$

Thus, the probability that in a random sample of 100 CSU graduates the error is within 5% of the population proportion of 60% is 0.6923.

8 0

3 years ago

Is question 2 correct?

Morgarella [4.7K]

No, the correct answer is 26.5 because it says that in the diagram and 3.5+8+3.5+8+3.5=26.5

7 0

3 years ago

What is 180-90-37 as a degree?

givi [52]

Answer:

53 degrees

Step-by-step explanation:

since 180 is a straight line and 90 is half of that, all you need to do is take 37 away from 90 and you get 53

3 0

2 years ago

The point (2,7) is successively reflected across the x-axis then the y-axis and then the x-axis again. What is the area of the r

rjkz [21]

Answer:

The area of rectangle is $56\ units^2$

Step-by-step explanation:

Let

A(2,7)

step 1

The point A is reflected across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

A(2,7) ----->B(2,-7)

step 2

The point B is reflected across the y-axis

we know that

The rule of the reflection of a point across the y-axis is

(x,y) -----> (-x,y)

B(2,-7) ----> C(-2,-7)

step 3

The point C is reflected across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

C(-2,-7) ----->D(-2,7)

step 4

Find the area of rectangle formed by

A(2,7),B(2,-7),C(-2,-7),D(-2,7)

using a graphing tool

see the attached figure

The area of rectangle is

$A=(4)(14)=56\ units^2$

4 0

3 years ago

Prove whether the following are identities 2tanh 1/2x / 1−tanh^2 1/2 x = sinh x

Tanzania [10]

Recall that

$\cosh^2(x) - \sinh^2(x) = 1$

Dividing both sides by cosh²(x) gives

$1 - \tanh^2(x) = \mathrm{sech}^2(x)$

Also, recall the identity

$\sinh(2x) = 2\sinh(x)\cosh(x)$

Then

$\dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = \dfrac{2\tanh\left(\frac x2\right)}{\mathrm{sech}^2\left(\frac x2\right)} \\\\ \dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = 2\tanh\left(\dfrac x2\right)\cosh^2\left(\dfrac x2\right) \\\\ \dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = 2\sinh\left(\dfrac x2\right)\cosh\left(\dfrac x2\right) \\\\\dfrac{2\tanh\left(\frac x2\right)}{1 - \tanh^2\left(\frac x2\right)} = \sinh(x)$

4 0

3 years ago