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ElenaW [278]
3 years ago
8

What is the exact distance from (−4, −2) to (4, 6)?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(6--2)^2+(4--4)^2

d^2=8^2+8^2

d^2=64+64

d^2=128

d=√128 units
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Answer:

b

Step-by-step explanation:

6 0
3 years ago
A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these
Svetlanka [38]
They can carry 80 containers each
160,000 / 2,000 = 80
6 0
3 years ago
Simplify the expression 6h+​(−7.7d​)−18+5d−3.2h.
Mamont248 [21]

Answer:

-2.7d+2.8h-18

Step-by-step explanation:

4 0
2 years ago
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

\frac{\alpha}{2} = \frac{0.05}{2}

  = 0.025

Then,

t_{\frac{\alpha}{2}, df }  = 2.306

∴ we get

Population mean = x⁻ ± t_{\frac{\alpha}{2}, df } ×\frac{s}{\sqrt{n} }

                           = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

⇒Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

3 0
3 years ago
Read 2 more answers
Taliyah was scuba diving at 29 feet below sea level (–29). Then she swam up to 13 feet below sea level (–13). Solve the number s
kap26 [50]

Answer:

-16

Step-by-step explanation:

So you want to change the - into a + and the negative sign before the 13 also into a plus. So it is -29 + 13 and that would be -16 ^.^ Hope this helped!!

3 0
2 years ago
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