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ra1l [238]
3 years ago
7

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unkno

wn endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.) midpoint ​(negative 9−9​,negative 1−1​), endpoint ​(negative 17−17​,negative 7−7​)
Mathematics
1 answer:
Lunna [17]3 years ago
7 0
Midpoint : (x1 + x2) / 2, (y1 + y2)/2
(-17,-7)....x1 = -17 and y1 = -7
(x,y)....x2 = x and y2 = y
sub
m = (-17 + x)/2 , (-7 + y)/2

(-17 + x) / 2 = - 9
-17 + x = -9 * 2
-17 + x = -18
x = -18 + 17
x = -1

(-7 + y)/2 = -1
-7 + y = -1 * 2
-7 + y = -2
y = -2 + 7
y = 5

so ur other endpoint is (-1,5) <==

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A statistics content developer at Aplia wanted to know whether study skills are related to memory quality. She invited student v
nekit [7.7K]

Answer:

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

Step-by-step explanation:

Given

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {} & {} &{5-6}& {50} & {} & {} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

Required

Fill in the gaps

First, we calculate the total frequency:

Total = \sum f

Total = 29+53+50+22+1

Total = 155

The proportion (p) is calculated by:

p = \frac{f}{Total}

The percentage (P) is calculated by:

P = p * 100\%

For interval 7 - 8, we have:

p = \frac{53}{155} = 0.34

P = 0.34 * 100\% = 34\%

For interval 5 - 6, we have:

p = \frac{50}{155} = 0.32

P = 0.32 * 100\% = 32\%

So, the complete table is:

\begin{array}{cccc}{Score\ Interval} & {f} & {Proportion} & {Percentage} & {9-10} & {29} &{0.19} & {19\%} & {7-8} & {53} & {0.34} & {34\%} &{5-6}& {50} & {0.32} & {32\%} &{3-4} & {22} & {0.14} & {14\%} & {1-2} & {1} & {0.01} & {1\%} \ \end{array}

6 0
3 years ago
Hey does anyone know what 4/5 times 7/8 is ?- its for my math hw and its due in a hour thx!
LUCKY_DIMON [66]

Answer:

0.7

Step-by-step explanation: (4/5)*7)/8

Hope this helps:)

3 0
3 years ago
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in
OleMash [197]

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

4 0
3 years ago
Victoria has $2.90 in quarters, dimes and nickels. The numbers of nickels is one more than six times the number of quarters, and
maria [59]

Answer:

Step-by-step explanation:

She has 290 cents.

Nickels: 6x+1

Quarters: x

Dimes: 4x

Now that we've converted it algebraically, we can add them

6x+1 + x + 4x = 11x+1 = 290

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x = 289/11

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8 0
3 years ago
Given the recursive formula:<br> a1=3<br> An=2(an-1+1)<br> Find a2 a3 a4
fenix001 [56]

Answer:

a_2 = 8

a_3 = 18

a_4 = 38

Step-by-step explanation:

We are given the following recursive formula:

a_n = 2(a_{n-1}+1)

And consider a_1 = 3

a2

a_2 = 2(a_1 + 1) = 2(3 + 1) = 8

a3

a_3 = 2(a_2 + 1) = 2(8 + 1) = 18

a4

a_4 = 2(a_3 + 1) = 2(18 + 1) = 38

6 0
3 years ago
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