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2 years ago

I need the mid point

Mathematics

2 answers:

Anestetic [448]2 years ago

7 0

Answer:

$(14,\frac{-7}{2})$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point (18, 13)

Point (10, -20)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute [MF]: $(\frac{18+10}{2},\frac{13-20}{2})$
Add/Subtract: $(\frac{28}{2},\frac{-7}{2})$
Divide: $(14,\frac{-7}{2})$

Mashutka [201]2 years ago

3 0

Answer:

(9, -7/2)

Step-by-step explanation:

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Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o

Vikki [24]

Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

Step-by-step explanation:

The random variable X is defined as the number of seconds for a randomly selected lap.

The random variable X is normally distributed with mean, μ = 129.71 seconds and standard deviation, σ = 2.28 seconds.

Thus, $X\sim N(129.71,\ 2.28^{2})$ .

(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

$P(X$

$=P(Z$

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let x represents the 3rd percentile.

That is, P (X < x) = 0.03.

⇒ P (Z < z) = 0.03

The value of z for the above probability is:

z = -1.88

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42$

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let x₁ and x₂ be the values between which the middle 80% of the distribution lie.

That is,

$P(x_{1}$

The value of z for the above probability is:

z = 1.28

Compute the values of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80$ $z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63$

Thus, the middle 80% of her laps are from 126.80 seconds to 132.63 seconds.

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Answer:

Cost =$3

Amount = 8 gallons and 17 gallons

Step-by-step explanation:

Given

24 + 51

Required

Simplify to show the cost and amount of gas bought by each individual

24 + 51

[Factorize]

3(8 + 17)

The above can't be factored any further.

Since the cost of gas for both individuals is the same, we can conclude the following.

Cost = $3

This is so because it applies to both numbers in brackets

Amount of Gas = 8 gallons and 17 gallons respectively by both individuals

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Answer:

Well for every 1/2 cup of sugar its 1 cup of flour

Step-by-step explanation:

Just make a table like for example 5 1/2 cup of sugar brings you 11 cups of flour

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Gre4nikov [31]

For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4

<h3>What will be the value of x?</h3>

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

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