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3 years ago

Draw a line representing the “rise” and a line representing the “run” of line state the slope of the line in simplest form

Mathematics

1 answer:

JulsSmile [24]3 years ago

3 0

Answer:

Picture is kinda blurry so not sure, but it seems the slope is 3/4

Step-by-step explanation:

Slope = Rise/ Run

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Identify the CONCLUSION of a hypothesis test of the following claim and sample data: Claim: "The average annual household income

Hatshy [7]

Complete Question

The options for the above question is

a There is not sufficient evidence to warrant rejection of the claim.

b There is sufficient evidence to warrant rejection of the claim.

c There is sufficient evidence to support the claim.

d There is not sufficient evidence to support the claim.

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that

The population mean is $\mu =$ $47,500

The sample size is $n = 86$

The sample mean is $\= x =$ $48,061

The standard deviation is $\sigma =$ $2,351

The level of significance is $\alpha = 0.02$

The null hypothesis is

$H_o : \mu =$ $47,500

The alternative hypothesis is

$H_a : \mu \ne$ $47,500

The critical value of $\alpha$ from the t-Distribution table is $Z_{\frac{\alpha }{2} } = 2.326$

Now the test statistics is mathematically evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{48061 - 47500 }{\frac{2351}{\sqrt{86} } }$

$t = 2.21$

Now from the values obtained we can see that

$Z_{\frac{\alpha }{2} } > t$

hence we fail to reject the null hypothesis

Hence there is not sufficient evidence to warrant rejection of the claim

7 0

4 years ago

The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)

Nina [5.8K]

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

$Hypotenuse^2=Base^2+Perpendicular^2$

$(40)^2=(8)^2+(h)^2$

$1600=64+h^2$

$1600-64=h^2$

$1536=h^2$

Taking square root on both sides.

$\pm \sqrt{1536}=h$

$\pm 39.1918358=h$

Height cannot be negative. Round to the nearest foot.

$h\approx 39$

Therefore, the height of the ladder on the wall is 39 foot.

5 0

3 years ago

Hhhhhhhhhhhhhhhhhhhhh

zhuklara [117]

Answer:it should be b!

Step-by-step explanation:

I’m pretty sure I had the question before

4 0

2 years ago

The perimeter of a pentagon (5 sides) is 10.5 centimeters. The sides are x,x,x,x and 1.7 cm. What is the value of x

Drupady [299]

Answer:

What did she sayyyyyyyy? Um I don't know what x,x,x,x is ma'am or sir

Step-by-step explanation:

4 0

3 years ago

A bag contains 3 red marbles, 5 green marbles and 7 blue marbles. If Janelle picks one marble out of the bag, what is the probab

lisabon 2012 [21]

3+5+7 = 15 total marbles

3 are red

so she has a 3/15 reduces to 1/5 probability of picking a red one

8 0

4 years ago