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kondaur [170]
3 years ago
14

When Sally went bowling, her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an

average of 91?
Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer:

The answer is 89.

Step-by-step explanation:

In order to determine the score that she needs, we have to know about the mean. The <em>mean </em>is the average that we use frequently, where we add up all the numbers and then divide by the amount of numbers.

We have to make a equation where let be x the fourth score. Then:

First score=108

Second score=72

Third score=95

Fourth score=x

Average (mean)=91

Amount of numbers=4

\frac{108+72+95+x}{4} =91\\275+x=91*4\\x=364-275\\x=89

Finally, the score that she will need is 89.

Fudgin [204]3 years ago
3 0
She needs a score of 89 for it to be an average of 91.00
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maksim [4K]

Given:

A plane is normal to the vector = -2i+5j+k

It contains the point (-10,7,5).​

To find:

The component equation of the plane.

Solution:

The equation of plane is

a(x-x_0)+b(y-y_0)+c(z-z_0)=0

Where, (x_0,y_0,z_0) is the point on the plane and \left< a,b,c\right> is normal vector.

Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is

-2(x-(-10))+5(y-7)+1(z-5)=0

-2(x+10)+5y-35+z-5=0

-2x-20+5y-35+z-5=0

-2x+5y+z-60=0

-2x+5y+z=60

Therefore, the equation of the plane is -2x+5y+z=60.

4 0
2 years ago
Someone please help me !!!
Naya [18.7K]

Answer:

x = 120°

Step-by-step explanation:

The equation is given to you:

The sum of the interior angles can be found using the equation:

Sum = (n - 2)180

Note that:

n = # of sides.

Plug in 6 for n in the equation.

∑ = (6 - 2)180

First, solve for the parenthesis:

∑ = (4)180

Next, multiply:

∑ = 4 * 180

∑ = 720

You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:

720/6 = 120

120° is your answer.

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8 0
3 years ago
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What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300
hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30

It can be written as

2(\ln 2x)-(\ln 10x)=\ln 30         [\because \ln e^a=a]

\ln (2x)^2-(\ln 10x)=\ln 30        [\because \ln a^b=b\ln a]

\ln \dfrac{4x^2}{10x}=\ln 30        [\because \ln \dfrac{a}{b}=\ln a-\ln b]

\ln \dfrac{2x}{5}=\ln 30

On comparing both sides, we get

\dfrac{2x}{5}=30

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snow_tiger [21]

Answer:

  • Architect - $83000
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Step-by-step explanation:

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<u>According to the question we have:</u>

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<u>Substitute l into the second equation and solve for a:</u>

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<u>Find the value of l:</u>

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