The area of a square is 36 square centimeters. What is the length of each side of the square?

Answer:

The mean life is actually less than the 100 hours the company claims.

Step-by-step explanation:

In this case we need to test whether the mean life is actually less than the 100 hours the company claims.

The information provided is:

 [tex]n=20\\\bar x=98.5\\s=0.777[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean life 100 hours, i.e. μ = 100.

Hₐ: The mean life is actually less than the 100 hours, i.e. μ < 100.

Assume the significance level as 5%.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{98.5-100}{0.777}=-1.93[/tex]

Compute the p-value of the test as follows:

 [tex]p-value=P(t_{n-1}<-1.93)=P(t_{19}<-1.93)=0.034[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.034.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.034 < α = 0.05

The null hypothesis will be rejected at 5% level of significance.

Thus, concluding that the mean life is actually less than the 100 hours the company claims.

Answer:

r=-12

Step-by-step explanation:

multiply 6 on both sides which will be r=-12

Hope this helps

Answer:

r=-12

Step-by-step explanation:

Answer:

tan b

Step-by-step explanation:

Answer:

You have to show the question

Step-by-step explanation:

Answer:

ok give me brainliest and i'll help

Step-by-step explanation:

Answer:

what is it that u need help with?

Answer:

x is equal to 6

Step-by-step explanation:

Hey there!

3(-x-3) + x-3= -24

Multiply"3" and (-x-3).

-3x - 9 + x - 3 = -24

Add or subtract like terms.

-2x - 12 = -24

Shift "-12" in right side.

-2x = -24+12

-2x = -12

Divide "-12" by "-2".

X = -12/-2

Therefore, x= 6.

Hope it helps...

Answer:

c

Step-by-step explanation:

It’s the same thing even if you put ()

Answer:

t = 0.6435 in radians or 36.8699 in degrees

Step-by-step explanation:

Since cos(t) = 4/5, t = inverse cos(4/5) = 0.6435

Answer:

C

Step-by-step explanation:

(6a - 2b) ^ 2

36a^2 + 2b^2

Answer:

12x - 30

Step-by-step explanation:

Do you want 3x??

If so, here:

3(4x - 10)

12x - 30

Hope this helps!

Have a nice day!

If you fin my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:        15/21 , 25/35 , 10/14 or 10/14, 15/21, 20/28

Step-by-step explanation:

Answer:

10/14, 15/21, 20/28

Step-by-step explanation:

Just multiply a number by the top and bottom to get a ratio that simplifies down to 5/7.

Answer:

9 is the answer

Step-by-step explanation:

Answer:

it is 405

Step-by-step explanation: because you would multiply 3 and 9 and that is 27 then 3 x 5 is 15 the multiply 15 and 27 then you get 405

Answer:

Hope this helps if so Please consider marking brainliest!

Step-by-step explanation:

Move all terms not containing C  to the right side of the equation.

c = p -9 + b

Answer:

The answer Is B! Let me know if its wrong!

Hope you do great!

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

Answer:

h= 50 - th(35)/5

Step-by-step explanation:

Answer:

the height is 22

Step-by-step explanation:

volume = base×height ×width

3,300÷150=22

then to check it u do 22×150=3,300

i think this is right and hope it helps

Answer:

The y-intercept is 21/2

3x + 2y = 21

-3x

2y = 21 - 3x

/2

Y = 21/2 - 3/2x

The number with the x is the slope and the other is the y-intercept

Answer: 4

Step-by-step explanation:  g(x) = A*cos(bx) + c When you see a function of the form f(x) = A*sin(bx) + c or g(x) = A*cos(bx) + c where A, b and c are constants, its amplitude is equal to A, the coefficient at sine or cosine.

The amplitude of the given function is 4.

The maximum displacement or distance moved by a point on a vibrating body or wave, measured from its equilibrium position, is called its amplitude.

Given is a function, y = 4sin (3x + 2) + 1

The given equation is the form of y = a sin(bx+c) + d, the amplitude of the function is given by the by a,

On comparing the given equation with y = a sin(bx+c) + d, it gives a = 4

Hence, the amplitude of the given function is 4.

For more references on amplitude, click;

https://brainly.com/question/8662436

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Answer:

The answer is below

Step-by-step explanation:

Let us assume the relationship between the worker hours and the towers is a linear relationship. A linear relationship is in the form of y = mx + b, where m is the rate of change and b is the value of y when x = 0.

Let y represent the number of worker hours and x represent the number of additional towers. The rate per tower is 0.8 for additional towers. The relationship can be given as:

y = 5500 - 0.8x

a) The number of hours is reduced to 3,000 worker-hours. y = 3000

3000 = 5500 - 0.8x

0.8x = 2500

x = 3125 towers

b) For an additional 16th tower:

y = 5500 - 0.8(16)

y = 5487.2 hours

Answer:

2.) -2 +-3 = -5

4.) -6+-10= -16

Answer:

the answer is 5*3

Step-by-step explanation

15*6=90

3*2=6

90/6=15

5*3=15

G

Answer:

y=2

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

-2 + 4 = 2

therefore, y = 2

Step-by-step explanation:

access to one as to which the two was to wisdom 100 as wisdom teeth is my dream wall