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2 years ago

Write an equation of the line that passes through (-2, 3) and is arallel to the line y=2x-4

Mathematics

1 answer:

Svetlanka [38]2 years ago

5 0

Answer:

y=2x+7

Step-by-step explanation:

you would substitute so x=-2 and y=3

All lines parralel always have the same x so

y=2x-c (c means crossing point of y)

then substitute

3=(2x-2)-c

3=-4-c

c= +7

so just put in the equation and the answer is:

y=2x+7

Hope this helps!!

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There are 500 people in a survey to answer two yes-or-no questions, for the first question, 440 people has a "yes" answer, for t

ollegr [7]

Answer:

Mininum value of K is 220

Step-by-step explanation:

400 people has a "yes" answer for the first question and 220 people has a "yes" answer for the second question

There is a possibility that 220 out of the 400 people that has a "yes" answer for the first question also has a "yes" for the second question

Therefore, the minimum number of people that has two "yes" answer (K) is 220

6 0

3 years ago

The following information is obtained from two independent samples selected from two normally distributed populations.

AysviL [449]

A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:

μ1 − μ2 = x1 – x2 = 7.82 – 5.99

μ1 − μ2 = 1.83

B. The formula for confidence interval is given as:

Confidence interval = (x1 –x2) ± z σ

where z is a value taken from the standard distribution tables at 99% confidence interval, z = 2.58

and σ is calculated using the formula:

σ = sqrt [(σ1^2 / n1) + (σ2^2 / n2)]

σ = sqrt [(2.35^2 / 18) + (3.17^2 / 15)]

σ = 0.988297

Going back to the confidence interval:

Confidence interval = 1.83 ± (2.58) (0.988297)

Confidence interval = 1.83 ± 2.55

Confidence interval = -0.72, 4.38

3 0

3 years ago

Find the value of x.

ehidna [41]

Answer:

x = 25

Step-by-step explanation:

We know that the remaining angles add up to 90°, because the right angle (triangles have 180° total.)

2x + 15 + x = 90 | Given

3x + 15 = 90 | Combine x

3x = 75 | Subtract 15

x = 25

4 0

2 years ago

Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)

Natasha_Volkova [10]

Answer:

$\sin(\frac{\pi}{7}+x)$

Step-by-step explanation:

We are going to use the identity

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$

because this identities right hand side matches your expression where

$a=\frac{\pi}{7}$ and $b=x$ .

So we have that $\sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x)$ is equal to $\sin(\frac{\pi}{7}+x)$ .

5 0

3 years ago

Question 1

Alexxx [7]

Answer:

Water needed for pool = 486 cubic feet

Plastic liner required for the pool = 298.3 feet

Step-by-step explanation:

Top view of the pool is a composite figure, having one rectangle and a trapezoid.

1). Water needed for the pool = volume of the pool

Volume of the pool = Area of the base × Depth

= (Area of the rectangle + Area of the trapezoid)× depth

Area of the trapezoid = $\frac{1}{2}(b_{1}+b_{2})\times h$

= $\frac{1}{2}(11+9)\times (12-1.5)$

= 105 ft²

Area of the rectangle = Length × width

= 11 × 1.5

= 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

= 121.5 × 4

= 486 cubic feet

b). Liner required = surface area of the pool excluding top

= Surface area of the walls + Area of the pool base

= (Perimeter of the pool) × depth + area of the base

= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

= 176.8 + 121.5

= 298.3 square feet

Therefore, amount of water required = 486 cubic feet

liner needed = 298.3 square feet

8 0

3 years ago