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Dennis_Churaev [7]
2 years ago
11

Solve the system of equations. 10x + y= − 20 y = 2 x^2 − 4x − 16

Mathematics
1 answer:
Alenkasestr [34]2 years ago
5 0
A graphing calculator shows two solutions:
  (x, y) = (-2, 0) or (-1, -10)

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A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be ins
maria [59]

Answer: 4004.76\ ft

Step-by-step explanation:

Given

inclination is \theta=75^{\circ}

Mountain is h=3900\ ft high

Cable is tied x=910\ ft from the base of the mountain

From the figure, length of the shortest path is l

It is given by using Pythagoras theorem

\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft

7 0
2 years ago
5. Monday night it was -2.3°C. If the
ozzi

Answer:

-4.6

Step-by-step explanation:

-2.3-2.3=-4.6

8 0
2 years ago
14 times 4 times 18 times 6 times 5 Caleb draws $14 on each of 4 posters he draws 18 cats on each of six other posters if he dra
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Just add it all up with a calculator  
4 0
3 years ago
Read 2 more answers
If y is 20, what is x?
vesna_86 [32]

When y=20 , x is −5.

8 0
3 years ago
Read 2 more answers
Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
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