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3 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

1 answer:

5 0

A line perpendicular to the given line would have an opposite signed reciprocal slope. Since the slope of the given line is -1, then the perpendicular lines slope is 1.

Find b using y = mx + b or y - mx = b
-2 - 1(-2) = b
0 = b

The answer is y = x + 0 or y = x

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Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow pai

kkurt [141]

<span>I know because 2:3 is the ratio for the first and when he gets 9 that is 3* more. So we multiply 3*2 of the red paint and we will get 6 </span>

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3 years ago

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Nadia took a math test that had 20 questions. Each question was worth five points. If Nadia answered 85 percent of the questions

Sunny_sXe [5.5K]

Nadia got 17 questions out of the 20

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3 years ago

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In a recent poll, 35% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Supp

Schach [20]

Answer:

we have that z = 1.8326 which is not close to z factor of 0. The result is not within limits.

Step-by-step explanation:

Following normal approximation to binomial we have

mean = n×p

standard deviation = √(n×p×(1-p))

n is equal to 160

p is equal to 35%

n×p is equal to 150×0.35 = 52.5

this is the probability that you would expect based on the knowledge that 35% of survey respondents said they would prefer a boy than a girl.

in your survey you got 74 out of 150 and you want to know if this is statistically significant or if you can expect this deviation by chance.

standard deviation is calculated as √(n×p× (1-p))which becomes

√ (150×0.35×0.75 = 6.2749 which is more than enough accuracy for what is required.

without a continuity correction, your formula would be:

z (74 > 52.5) = (population mean - sample mean) / population standard deviation which becomes (74-52.5)/6.2749 = 1.8326

this is not close to a z factor of 0 which means that the results are not within limits.

with a continuity correction, your formula would be:

z (52.5 > 52.5) = 0

A z factor of zero means that your sample mean is exactly the population mean.

3 0

3 years ago

Think about how to find the area of a rectangle. A=LW and a triangle 1/2B*H. Create a problem using each formula.

WITCHER [35]

Given expressions:

Area of a rectangle = L W

Area of a triangle = $\frac{1}{2} B H$

Problem;

Create problems using the formula;

Solution:

Problem 1; Find the area of a rectangle whose length is 10cm and the width is half the size of the length?

Given parameters:

Length of rectangle = 10cm

Width of rectangle = $\frac{1}{2}$ x length = $\frac{1}{2}$ x 10 = 5cm

So, the area of the rectangle = 10cm x 5cm = 50cm²

2. A triangle with a base length of 30cm and a height of 2cm will have an area of what?

Given parameters:

base length = 30cm

height = 2cm

Solution:

Area of a triangle = $\frac{1}{2}$ x b x h

Area of a triangle = $\frac{1}{2}$ x 30 x 2 = 30cm²

The area of the triangle will be 30cm²

6 0

3 years ago

Block of bags with 2 squares, 5 circles, 2 triangles and 4 rectangles. What fraction are squares?

Advocard [28]

Answer:

2/13

Step-by-step explanation:

There are thirteen shapes and out of that two are

3 0

3 years ago