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3 years ago

(7,-9) and (-3,-6) Find the slope

Mathematics

1 answer:

kow [346]3 years ago

7 0

Answer:

-3/10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-9))/(-3-7)

m=(-6+9)/-10

m=3/-10

m=-3/10

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In the figure below, if the radius of circle o

Aliun [14]

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

5 0

2 years ago

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

2 years ago

What are the names of the two angles? *

Vika [28.1K]

Answer:

C or the 3rd one

Step-by-step explanation:

7 0

3 years ago

A geologist examines 14 geological samples for iron concentration. The mean iron concentration for the sample data is 0.181 cc/c

kykrilka [37]

Answer:

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

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:

$\alpha = \frac{1-0.9}{2} = 0.05$

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 $1-0.05 = 0.95$ , so $z = 1.645$

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.

$M = 1.645*\frac{0.0318}{\sqrt{14}} = 0.0140$

The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

3 0

3 years ago

What is the area of a circle with a radius of 35 inches?<br> in²<br> (Use 3.14 for Pi.)

Alex

Answer:

$\boxed{ \tt{Area \: \: of \: a \: circle = \pi \: {r}^{2} }}$

Plug the values and then solve :

$\longrightarrow \tt \: 3.14 \times 35^{2}$

$\longrightarrow \tt \: 3846.5\: in ^{2}$

Our final answer is 3846.5 in ^2

--------- HappY LearninG <3 --------

3 0

2 years ago

Read 2 more answers