Shown.<br> Exactly how many planes contain points J, K, and N?

Answer number 1 please.

Minchanka [31]

$\sf {a}^{2} = {13}^{2} - {5}^{2}$

Formula :

Base²= Hypotenuse² - Perpendicular ²

$\\ \\$

$\hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2}$

$\\ \\$

$\hookrightarrow\sf {a}^{2} =169 - 25$

$\\ \\$

$\hookrightarrow\sf {a}^{2} =144$

$\\ \\$

$\hookrightarrow\sf {a} = \sqrt{144}$

$\\ \\$

$\hookrightarrow\sf {a} = \sqrt{12 \times 12}$

$\\ \\$

$\hookrightarrow\sf {a} = 12$

Remember the a² in formula has nothing to do with the a we have to find. :)

6 0

2 years ago

Read 2 more answers

23.82600 round to three significant figures

fomenos

Answer:

23.8 i think

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

"Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political

melomori [17]

Answer: 0.0158

Step-by-step explanation:

Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.

According to the given information we have,

Sample size : n= 1000

Sample proportion: $\hat{p}=\dfrac{470}{1000}=0.47$

The standard error for proportion is given by :-

$S.E.=\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$S.E.=\sqrt{\dfrac{0.47(1-0.47)}{1000}}$

$S.E.=\sqrt{0.0002491}$

$S.E.=0.0157829021412\approx0.0158$

[Rounded to the nearest four decimal places.]

Hence, the standard error for the confidence interval = 0.0158

6 0

2 years ago

The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a _______

baherus [9]

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

$V=\pi r^2 h$

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

$V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2$

So, the given equation is used to find the volume of a cylinder.

7 0

2 years ago

The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th

e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, $\bar{x}-2\sigma$

To the right side, $\bar{x}+2\sigma$

We have given,

The sample mean $\bar{x}=\$150$

The standard deviation $\sigma=\$20$

Substitute in the formula,

$\bar{x}-2\sigma$

$=150-2(20)$

$=150-40$

$=110$

$\bar{x}+2\sigma$

$=150+2(20)$

$=150+40$

$=190$

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0

3 years ago

Shown. Exactly how many planes contain points J, K, and N?