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Thepotemich [5.8K]
3 years ago
12

What is the equation of the trend line?

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

n=-2 over 1m plus 45. Rise over run is the 2 over one and 10 plus 45 is 55 

don't forget to make me the brainiest.

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A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.
Vladimir79 [104]

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

3 0
3 years ago
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, an
Xelga [282]

Answer:

Red: 1/5 or 0.2 or 20% (depends if the question asked you to give the answer in fraction/decimal/percentage. Either way, it's still correct)

Black: 0

Blue: 2/5 or 0.4 or 40%

Step-by-step explanation:

In total, the bag contains 10 balls,

  • 2 are Red = 2/10 = 1/5

  • There are no black marbles so you have 0 chance of pulling them out.

  • 4 are blue = 4/10 = 2/5
7 0
2 years ago
gary is making a cakerecipe that requires 3/4 cup of flour. But gary wants to make the cake half of the size that the recipe cal
vfiekz [6]

Answer:

0.375 cups or 3/8

Step-by-step explanation:

divide 3/4, or 0.75 by 2!

8 0
3 years ago
The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This rando
swat32

Answer:

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Mean of the Population (μ) = 2500 gallons

Standard deviation of the population (σ) =200 gallons

Let 'X' be a random variable in Normal distribution

Given X = 2800

Z = \frac{x-mean}{S.D} = \frac{2800-2500}{200} = 1.5

<u><em>Step(ii):-</em></u>

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5)

                  = 0.5 - A(Z₁)

                 =  0.5 - A(1.5)

                 =   0.5 -0.4232    ( from normal table)

                = 0.0768

<u><em>Conclusion</em></u>:-

The probability that Bob will win that wonderful trip on the basis of his gasoline sales this month

P(X≥ 2800) = P(Z₁≥1.5) = 0.0768

               

3 0
2 years ago
For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form
jek_recluse [69]

Answer:

\displaystyle \cos(A + B) =\frac{969}{1769}

Step-by-step explanation:

We are given that:

\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

o=\sqrt{29^2-20^2}=21

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

h=\sqrt{11^2+60^2}=61

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)

Simplify:

\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}

3 0
3 years ago
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