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3 years ago

Find the value of x such that the data set has the given mean. 102, 119, 107, 115, 110, x; mean 117

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer:

702

Step-by-step explanation:

the answer is 702. you add all if the numbers and divide them by hiw many there are which

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Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

3 years ago

Paige has 1 ½ feet of rope for a project. She only needs 2/3 of it. How much rope does she need?

Grace [21]

Answer:

1 foot

Step-by-step explanation:

1 1/2 = 3/2

2/3*3/2 = 1

4 0

3 years ago

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F(x + 1) = 2x + 1<br> g(x + 1) = x-5<br> > (fog)(2) = ?

My name is Ann [436]

Can you provide me with a picture so that I can help you answer this question?

8 0

3 years ago

Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)

laiz [17]

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph. Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or 9 = a. With a known, we can write the desired equation:

y - 12 = 9(x - 4)

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3 years ago

O esboço do gráfico seguinte representa uma função. Descreva o conjunto domínio D(f) e o conjunto imagem Im(f) desse função:

Harlamova29_29 [7]

Answer:

xonjustő façţor si de amor ěqual funçaø de amor!! to ďęčimăĺ..

Step-by-step explanation:

dea de gracias!!

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3 years ago