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max2010maxim [7]
2 years ago
10

Find the midpoint M of the line segment joining the points P = (-8, 3) and Q = (-2, -7).

Mathematics
1 answer:
Gnom [1K]2 years ago
7 0

Answer:

Step-by-step explanation:

Let (x,y) be midpoint of P(3,4) & Q(5,−2)

Midpoint formula for two points (a,b) and (c,d) is

(x,y) =(

2

a+c

​

,

2

b+d

​

).

x=

2

3+5

​

=4

y=

2

4−2

​

=1

∴   (x,y)=(4,1)

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Find the zero of the function /(x) = 5x-3.
Bad White [126]

Answer:

3/5

Step-by-step explanation:

Set it equal to 0

5x-3=0

Then solve for x

5x=3

x=3/5

Check

5(3/5) - 3

3-3

0

4 0
2 years ago
Find Sn for the given arithmetic series a1=-26 d=-9 n=24
ryzh [129]

Answer:

- 3108

Step-by-step explanation:

The sum to n terms of an arithmetic series is

S_{n} = \frac{n}{2} [ 2a_{1} + (n - 1)d ]

Substitute the given values into the formula

S_{24} = \frac{24}{2} [ (2 × - 26) + (23 × - 9) ]

                          = 12 ( - 52 - 207 )

                         = 12 × - 259 = - 3108

5 0
3 years ago
Tell which set or sets the number below belongs to natural numbers, whole numbers, integers, rational numbers, irrational number
N76 [4]

Answer:

A,B,C,E,F

Step-by-step explanation:

The only one that it is not is irrational. I think this is correct and I hope it helps

4 0
2 years ago
It is assumed that the mean weight of a Labrador retriever is 70 pounds. A breeder claims that the average weight of an adult ma
Sindrei [870]

Answer:

z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

Step-by-step explanation:

We will test the breeder´s claim at 95% ( CI) or significance level

α = 5 %   α = 0,05    α /2 = 0,025

Sample Information:

sample size   n  = 45

sample mean   x  = 72,5 pounds

Sample standard deviation  s = 16,1

1.-Hypothesis Test:

Null Hypothesis                              H₀        x  =  70

Alternative Hypothesis                  Hₐ        x  ≠  70

Alternative hypothesis contains the information about what kind of test has  to be developed ( in this case it will be a two-tail tets)

2.-z (c) is from z-table     z(c) = 1,96

3.- z(s)  =  ( x - 70 ) / 16,1 / √45

z(s)  =  (72,5 -70 ) *√45 / 16,1

z(s)  = 2,5 * 6,71 / 16,1

z(s)  = 1,04

4.-Comparing  z(s) and z(c)

z(s)  <  z(c)

Then z(s) is in the acceptance region we accept H₀. We don´t have enough evidence to support the breeder´s claim

7 0
3 years ago
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Answer:

A

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