Given the equations of the lines 2x – y = 4 and 3x + 2y = -1. Do these lines intersect? If

Inverse of f(x)=6x+5

KATRIN_1 [288]

Attached image is the answer

8 0

2 years ago

Please help Given the angle measure

Scrat [10]

Answer: measure angle E= 88

8 0

2 years ago

Sara has a stack of 8 plates, each plate is 0.5 inches tall and she is trying to wrap them as a gift.

AlekseyPX

Answer:

The plates will not fit into the box.

Step-by-step explanation:

Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of $0.5in*8 = 4inches$ .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.

The volume of a cylinder is $\pi R^2h$ , and since for our cylindrical box the volume is 150 cubic inches; therefore,

$\pi R^2h = 150in^3$

putting in $R = 5in$ and solving for height $h$ we get

$h = \dfrac{150in^3}{\pi (5)^2}$

$h = 1.91\: inches$ ,

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

5 0

3 years ago

According to a study conducted in one city, 25% of adults in the city have credit card debts of more than $2000. A simple ran

Anvisha [2.4K]

Answer:

The sampling distribution of $\hat p$ is N (0.25, 0.0354²).

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:

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

Let p = proportion of adults in the city having credit card debts of more than $2000.

It is provided that the proportion of adults in the city having credit card debts of more than $2000 is, p = 0.25.

A random sample of size n = 150 is selected from the city.

Since n = 150 > 30 the Central limit theorem can be used to approximate the distribution of p by the Normal distribution.

The mean is:

$\mu_{\hat p}=p=0.25$

The standard deviation is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.25(1-0.25)}{150}}=0.0354$

Thus, the sampling distribution of $\hat p$ is N (0.25, 0.0354²).

3 0

3 years ago

Fill in the table in the photo

Fittoniya [83]

Answer:

see the attachment

Step-by-step explanation:

If the growth is 7 feet in 2 weeks and the rate is constant, then it will be half that in one week, or 3.5 feet per week. At week 3, it will be 3.5 feet more than at week 2. The table below shows this progression.

The point (0, 0) means there was no measurable growth when time was starting to be measured (at week 0).

3 0

3 years ago