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3 years ago

Write the equation of a line that is perpendicular to y=-0.3x+6 and passes through the point (3,-8)

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

y = 10/3x - 18

Step-by-step explanation:

1. Take the reciprocal of the slope given to you, 3/10 -> 10/3

2. Write your new equation with the new slope in slope-intercept form: y=10/3x+b

3. Use the point given to find your y-intercept / b: -8 = (10/3)(3)+b

-8 = 10 + b

-18 = b

4. Plug b back into your new equation. y = 10/3x - 18

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A college statistics class at a nearby university has 1,000 students enrolled in it. On a recent exam, the mean score was 75% wi

IceJOKER [234]

Answer:

38.11%

Step-by-step explanation:

Given that:

Mean (μ) = 75, standard deviation (σ) = 5

Z score is a measure in statistics to determine the variation of a raw score from the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$

To calculate the percentage of students scored between a 73 and 78 (C grade), we need to find the z score for 73 and then for 78.

For x = 73, the z score is:

$z=\frac{x-\mu}{\sigma}=\frac{73-75}{5} =-0.4$

For x = 78, the z score is:

$z=\frac{x-\mu}{\sigma}=\frac{78-75}{5} =0.6$

From the probability distribution table:

P(73 < x < 78) = P(-0.4 < z < 0.6) = P(z < 0.6) - P(z < -0.4) = 0.7257 - 0.3446 = 0.3811 = 38.11%

4 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

wel

Answer:

$z=\frac{15\sqrt{3}}{2}$

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

$tan(60)=\frac{y}{a}$

now, we can solve for y

$y=atan(60)$

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

$tan(30)=\frac{y}{15-a}$

now, we can solve for y

$y=(15-a)tan(30)$

now, we can set them equal

and then we can solve for a

$atan(60)=(15-a)tan(30)$

$\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3$

$4\sqrt{3}a=15\sqrt{3}$

$a=\frac{15}{4}$

now, we can find b

$b=15-\frac{15}{4}$

$b=\frac{45}{4}$

now, we can use trig formula

$cos(30)=\frac{b}{z}$

now, we can find z

$z=\frac{\frac{45}{4}}{cos(30)}$

we can simplify it

and we get

$z=\frac{15\sqrt{3}}{2}$

4 0

3 years ago

All rational numbers are integers? True/False

densk [106]

Answer:

True

Step-by-step explanation:

Every rational number is an integer. ... But not all rational numbers are integer. For example 47,34 4 7 , 3 4 . Hence, the statement is FALSE .

4 0

3 years ago

Which of these describes information that can appear in a consumer’s credit report?

ss7ja [257]

I believe the answer is D. A credit report covers info on loan paying history. I was stuck between b and d but then realized it said the company gave a loan while your own credit history covers what you have paid or loaned. Hope this helps, have a nice day.

4 0

2 years ago

Read 2 more answers

A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing

Deffense [45]

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

8 0

2 years ago