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3 years ago

3 (2x + 10) Simplify the expression using distribution.

Mathematics

2 answers:

julsineya [31]3 years ago

8 0

Answer:

6x + 30

Step-by-step explanation:

3*2x = 6x

3*10 = 30

Lemur [1.5K]3 years ago

8 0

Answer: 6x+30

Step-by-step explanation: brainless plz

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What is the value of sin 0 given that (3-4) is a point on the terminal side of 0

Effectus [21]

Using trigonometric relations, we will see that:

sin(θ ) = -0.8

<h3>How to get the sine of the angle?</h3>

For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:

θ = Atan(y/x)

In this case, the point is (3, -4), then the angle is:

θ = Atan(-4/3) = -53.13°

Then the sine of theta is:

sin(θ = -53.13°) = -0.8

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2 years ago

What are the properties of the point (2, 0) in this graphed function?

Alex73 [517]

The point (2,0) represents a relative minimum and an x-intercept.

<h3>How to determine the property?</h3>

The missing graphed function is added as an attachment

The point (2,0) means that:

x = 2 and y = 0

On the attached graph, we can see that the graph touches the x-axis at (2,0); this represents the x-intercept

Also, the graph has a minimum at (2,0); this represents the relative minimum

Hence, the point (2,0) represents a relative minimum and an x-intercept.

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2 years ago

Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard

Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : $\mu=\text{38.7 miles }$

Standard deviation : $\sigma=\text{6.7 miles }$

Sample size : $n=60$

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x=32.5

$\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93$

For x=40.5

$\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27$

The p-value = $P(-0.93$

$=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302$

Hence, the required probability :-0.4302

3 0

3 years ago

Hello Brainly Teacher Brainly Moderators and trusted helpers!

tatyana61 [14]

Answer:

P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

Mean grade μ = 86,
Standard deviation σ = 4,
Grade limit x = 84.

Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

z = (x - μ)/σ

Substitute values and calculate:

z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

P(x < 84) = 0.30854 or approximately 31%

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2 years ago

Corey drives 50 miles & the road is 200 miles, & he wastes 30 miles per gallon, how many more gallons to get 200 miles ?

Alenkinab [10]

I believe the answer is 5. Hope this was right for you.

6 0

4 years ago