What is the area of the triangle?



7 in 2
12 in 2
14 in 2
6 in 2

Answer:

44

Step-by-step explanation:

Answer:

The scale factor of the model is 160.

Step-by-step explanation:

18 inches : 240 feet tall is also equal to

18 inches : 2880 inches

2880/18 = 160

Answer:

0.0384 < 0.05, which means that we can conclude that the mean amount of time that college students spend in the shower is significantly different from 5 minutes.

Step-by-step explanation:

A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes.

This means that the null hypothesis is [tex]H_{0} = 5[/tex]

He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes.

This means that the alternate hypothesis is [tex]H_{a} \neq 5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Null hypothesis:

Tests [tex]H_{0} = 5[/tex], which means that [tex]\mu = 5[/tex]

In a sample of 8 students, he found the average time was 5.55 minutes and the standard deviation was 0.75 minutes.

This means, respectively, that [tex]n = 8, \mu = 5.55, \sigma = 0.75[/tex]

Test statistic:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5.55 - 5}{\frac{0.75}{\sqrt{8}}}[/tex]

[tex]z = 2.07[/tex]

Pvalue:

Since we are testing if the mean is different from a value, and z is positive. The pvalue is two multiplied by 1 subtracted by the pvalue of z = 2.07.

z = 2.07 has a pvalue of 0.9808

2*(1 - 0.9808) = 2*(0.0192) = 0.0384

Decision:

0.0384 < 0.05, which means that we can conclude that the mean amount of time that college students spend in the shower is significantly different from 5 minutes.

Answer:

ummmmm if im not wrong 34

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

I think 40 units

Step-by-step explanation:

hope you have a wonderful day

Answer:

similar shape!!!!

Step-by-step explanation:

Answer:

Dialation

Step-by-step explanation:

Dilation is an increase in size, but does not change the shape

Answer:

D

Step-by-step explanation:

I think that is the answer

Answer:

D The Sum of 2 Numbers

Step-by-step explanation:

2+2=4 > 24 > 24 + 24

Answer:

The side length

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The answer is 7

Trust me :)

Answer:

both elements will be negative in rot.180°

Answer:

2:1 or 16:8

Step-by-step explanation:

Answer:

2:1

Apple: orange

Step-by-step explanation:

Divide the number of apples by the number of oranges

Answer:

Step-by-step explanation:

Explanations are below

Step 1

7x + 2x^2 + 3x^2 - 2x  Observe the equation

Step 2

7x + 2x^2 + 3x^2 - 2x  Combine the like terms

(2x^2+3x^2)+(7x+-2x)

Step 3

(2x^2+3x^2)+(7x+-2x)  Simplify by adding and subtracting

Answer: 5x^2+5x

Answer:

Approximately [tex]5.7[/tex] inches

Step-by-step explanation:

The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.

In this case, we have a right triangle with legs of [tex]4[/tex] and [tex]4[/tex], and we need to find the hypotenuse. By the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse), we get:

[tex]4^{2} +4^{2} =c^{2}[/tex]

[tex]16+16=c^{2}[/tex] (Evaluate exponents)

[tex]32=c^{2}[/tex] (Combine like terms)

[tex]\sqrt{32}=\sqrt{c^{2}}[/tex] (Take the square root of both sides of the equation to get rid of [tex]c[/tex]'s exponent)

[tex]c=4\sqrt{2} ,c=-4\sqrt{2}[/tex]

The latter solution is an extraneous solution because the side lengths of a triangle cannot be negative. Therefore, the answer is [tex]4\sqrt{2} \approx 5.7[/tex] inches. Hope this helps!

Answer:

There is no significant evidence to conclude that the mean hours spent per week by teenagers is greater than 4.5

Step-by-step explanation:

H0 : μ = 4.5

H1 : μ > 4.5

Sample size, n = 15 ; sample, mean, xbar = 4.75 ; sample Standard deviation, s = 2.0

Test statistic : (xbar - μ) ÷ s/sqrt(n)

Test statistic : (4.75 - 4.5) ÷ 2/sqrt(15)

Test statistic : 0.25 / 0.5163977

Test statistic = 0.484

Using the test statistic to obtain the Pvalue :

Using α = 0.05, df = 15 - 1 = 14

Pvalue = 0.3179

Since, Pvalue > α ; we fail to reject the Null.

We conclude that ;

There is no significant evidence to conclude that the mean hours spent per week by teenagers is greater than 4.5

Answer:

+2 or adding 2 each step

So it is a linear function

Step-by-step explanation:

-2 + 2 = 0

0 + 2 = 4

4 + 2 = 6

So forth..

Answer:

Arithmetic sequence.

Step-by-step explanation:

Answer:

0% chance

Step-by-step explanation:

Answer:

0/6

You can't roll a 7 on a 6 sided die.

Answer:

Proved

Step-by-step explanation:

The options are not given. So, I will solve from scratch

Given

[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]

Required

Prove

Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]

[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]

Apply difference of two squares on the numerator

[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]

In trigonometry:

[tex]tan^2x = sec^2x - 1[/tex]

So, we have:

[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]

[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]

tan x cancels out

[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]

Proved

Answer:

25 [tex]in^{2}[/tex]

Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared

pls mark me branliest!!

Answer:

25ft2

Step-by-step explanation:

Answer:

DC

Step-by-step explanation:

DC

It’s opposite the smallest angle.

Answer:

Step-by-step explanation:

4:3

Step-by-step explanation:

first u must find the area of the rectangle.after that,find the area of the square.then you have tu subtract it so that u can get the orange area.

Answer: 3x+8

Step-by-step explanation:

Answer:

3x+8

Step-by-step explanation:

5-(x-3)=4x

5-x+3+4x

3x+8

Answer:

It is only a solution to y = x - 2, not -3x - 2y = -8

Step-by-step explanation:

I) Check y = x - 2:

y = x - 2

2 = 4 - 2

As you can see, (4, 2) is a solution to this system.

II) Check -3x - 2y = -8:

-3x - 2y = -8

(-3)(4) - (2)(2) = -8

-12 - 4 =/= 8

-12 - 4 = -16, not 8. So (4, 2) is not a solution to this system.

Answer:

18 stamps

Step-by-step explanation:

3/5(30) = 90/5 = 18

Answer:

Step-by-step explanation:

The chart tells you Zack has 30 stamps in total.

3/5 are animal stamps.

So you do

30 x 3/5 = 90 / 5 = 18

OR

30 / 5 x 3 = 6 x 3 = 18

Hope that helps!

I'm sorry Wrong Send!!!

Iba sana sasagutin ko Na pindut ko lang naman BTW Sorry

Answer:

-1<x<4

BLUE

Step-by-step explanation:

Answer:

x-27.9=12.4

Step-by-step explanation: