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ludmilkaskok [199]
2 years ago
15

I watched a video and didn't get my free answer, can I have some help,

Mathematics
1 answer:
vazorg [7]2 years ago
8 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y = mx + b,

where m = slope, and b = y-intercept.

From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.

The point-slope form of the equation of a line is:

y - y1 = m(x - x1)

where m = slope, and (x1, y1) is a point on the line.

We have point (-2, -13), so x1 = -2, and y1 = -13.

We also have slope 5, so m = 5.

Now we use the coordinates of the given point and the slope in the point-slope equation.

y - (-13) = 5(x - (-2))

We simplify to get

y + 13 = 5(x + 2)

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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution
Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25

We can calculate the probability of getting one non-conforming units (k=1) as:

P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51

5 0
3 years ago
Help the question is in the picture please help help
Reika [66]
I just tried to help someone with the same problems. I hope this helps you

7 0
3 years ago
The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
2 years ago
Which statement or inequalities describe the number line graph?
Gennadij [26K]

Answer:

Step-by-step explanation:

( - ∞ , - 3 ) ∪ [ - 1 , ∞ )

4 0
2 years ago
The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its d
Vlad1618 [11]

Hey there! I'm happy to help!

Let's call the length and width L and W respectively.

L=2W+8

2W+2L=124

We plug our value of L into the second equation and solve for W.

2W+2(2W+8)=124

We undo the parentheses with the distributive property.

2W+4W+16=124

Combine like terms.

6W+16=124

Subtract 16 from both sides.

6W=108

Divide both sides by 6.

W=18

We plug this W value into the first equation to solve for L.

L=2(18)+8

L=36+8

L=44

So, the length is 44 feet and the width is 18 feet.

Have a wonderful day! :D

8 0
2 years ago
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