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2 years ago

HELP HELP HELP Quick algebra 1 questions

Mathematics

1 answer:

beks73 [17]2 years ago

5 0

Hello:

Okay, this problem should be taken in a series of steps:

What is the slope's formula?

$\rm\hookrightarrow \frac{y_2-y_1}{x_2-x_1}$

(x₁,y₁) -- first point
(x₂,y₂) -- second point

Okay, now let's use this knowledge

10. (5,-19) and (-5,21)

$Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4$

11. (12,1) and (12, -1)

$Slope = \frac{-1-1}{12-12} =\frac{-2}{0}$

12. (8,7) and (4,7)

$Slope = \frac{7-7}{4-7} =0$

Answer:

Question 10: -4
Question 11: undefined
Question 12: 0

Hopefully that helps!

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Stress at work: In a poll conducted by the General Social Survey, 80% of respondents said that their jobs were sometimes or alwa

Svet_ta [14]

Answer:

a) P=0.019

b) P=0.263

c) P=0.794

Step-by-step explanation:

We assume that the poll gives the population's proportion of respondents said that their jobs were sometimes or always stressful (p=0.8).

Then, a sample of size n=190 is taken.

The sample mean is:

$\mu=np=190*0.8=152$

The sample standard deviation is:

$\sigma=\sqrt{np(1-p)}=\sqrt{190*0.8*0.2}=\sqrt{30.4}=5.514$

The probability that 140 or fewer workers find their jobs stressful is:

$z=(X-\mu)/\sigma=(140.5-152)/5.514=-11.5/5.514=-2.08 \\\\P(X\leq140)=P(X$

Note: a correction for continuity is applied.

The probability that more than 155 workers find their jobs stressful is

$z=(X-\mu)/\sigma=(155.5-152)/5.514=3.5/5.514= 0.635 \\\\P(X>155)=P(X>155.5)=P(z>0.635)=0.263$

The probability that the number of workers who find their jobs stressful is between 145 and 158 inclusive is:

$z_1=(X_1-\mu)/\sigma=(158.5-152)/5.514=6.5/5.514= 1.179\\\\ z_2=(X_2-\mu)/\sigma=(144.5-152)/5.514=-7.5/5.514= -1.360 \\\\ P(145\leq X\leq 158)=P(144.5< X< 158.5)\\\\P(145\leq X\leq 158)=P(X$

5 0

3 years ago

Read 2 more answers

If I rolled a 6 sided dice, what is the probability of rolling a 5?

ANEK [815]

Answer:

$\frac{1}{6} \\$

Step-by-step explanation:

Each occurrence of rolling a $6$ sided die has the same probability and one of those is rolling a $5$ . Since there are $\blue 6$ occurrences in rolling a $6$ sided die, the probability of each occurrence is $\frac{1}{\blue 6}\\$ .

Therefore, rolling a $5$ with a $6$ sided die has a probability of $\frac{1}{6}\\$ .

3 0

3 years ago

A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown

aleksandrvk [35]

Assuming AB is the height because we are given it has a square base with 4 by 4

so draw a diagram ( see attachment)
given tha the 8 inch straw ha 1 inch sticking out, the diagonal is 7

use pythagorean theorem twice since 2 right triangles
a^2+b^2=c^2
4^2+4^2=c^2
16+16=c^2
32=c^2
sqrt both sides
4√2=c
the bottom diagonal is 4√2

bottom^2+height^2=7^2
(4√2)^2+(AB)^2=7^2
32+(AB)^2=47
minus 32 both sides
(AB)^2=15
sqrt both sides
AB=√15
if AB is the height