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2 years ago

What is the area of the triangle below?

Mathematics

1 answer:

kow [346]2 years ago

5 0

Answer:

16²

Step-by-step explanation:

you can count the squares inside the triangle!

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Jon treated his sister to lunch while visiting her in Silvergrove. Their lunch cost $75, and the

aniked [119]

The answer:93.75

I think recommend calculators online I’m sure I’m a little off

6 0

2 years ago

A trucking firm suspects that the mean lifetime of a certain tire it uses is more than 30,000 miles. To check the claim, the fir

grandymaker [24]

Answer:

We conclude that the lifetime of tires is less than 30,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30,000 miles

Sample mean, $\bar{x}$ = 29,400 miles

Sample size, n = 54

Alpha, α = 0.05

Population standard deviation, σ =1200 miles

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ miles}\\H_A: \mu < 30000\text{ miles}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{29400 - 30000}{\frac{1200}{\sqrt{54}} } = -3.6742$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the lifetime of tires is less than 30,000 miles.

4 0

3 years ago

B) A bag contains 6 marbles: 3 red, 2 black, and 1 blue.<br> One marble is picked at random

harkovskaia [24]

Answer:

We need more information

Step-by-step explanation:

3 0

3 years ago

Write an equation for the line in slope-intercept form

quester [9]

Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

4 0

3 years ago

An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concen

drek231 [11]

Answer:

Step-by-step explanation:

Form a set of values we get

n = 17

And with the help of a calculator

μ₀ = 438,47

σ = 14,79

Normal Distribution is : N ( 438,47 ; 14,79 )

CI = 95 % means α = 5 % α/2 = 2,5 % α/2 = 0,025

and as n < 30 we should use t-student distribution with n -1 degree of freedom df = 16. t score for 0,025 and 16 s from t-table 2,120

By definition:

CI = [ μ₀ ± t α/2 ; n-1 * σ/√n ]

CI = [ μ₀ ± 2,120* 14,79/√17 ]

CI = [ μ₀ ± 7,60 ]

CI = [ 438,47 ± 7,60 ]

CI = [ 430,87 ; 446,07 ]

8 0

3 years ago

What is the area of the triangle below?​

What is the area of the triangle below?