50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b

Answer:

7x - 16y = -224

Step-by-step explanation:

Standard Form:

Ax + By = C

y= 7/16x+14

-7/16x + y = 14  

(Multiply everything by 16)

-7x + 16y = 224

(Multiply everything by -1)

7x - 16y = -224

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer:

16

Step-by-step explanation:

use the acroname sohcahtoa

sin 60=8√3/h

sin60=0.8660 while 8√3=13.8564

divide both side by 0.8660

0.8660/0.8660=13.8564/0.8660

h=16.0

Answer:

I think the answer would be X= 7.9999999999 .

Y= 15.9999999999

Step-by-step explanation:

Tan 60 = Rad 192 / X

X= 7.9999999999

Y = 15.9999999999

Hope it was helpful ^^ Good luck .

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

-3/4

Step-by-step explanation:

The slope is -3/4

The line goes down three and four left.  

Answer:

If figures are similar, corresponding sides have same ratio.

Side IJ x is corresponding with QR, and side HK with PS:

Ratio of corresponding sides:

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

[tex]y=11[/tex]

The predicted value at [tex]x=17[/tex] is 11.

The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = [tex]3.8-11[/tex]

Residual = [tex]-7.2[/tex]

Therefore, the residual for the given point is -7.2.

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

Answer:

151 in^3

Step-by-step explanation:

pi x 3^2 x 5.5 (the approximate water level)

= 155

151 is the closest answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]

[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]

[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]

[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]

[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{= \dfrac{40}{1}}[/tex]

[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

75.51%

Step-by-step explanation:

hopefully this helps

x/100 = 74/98

98x = 7,400

x = 7,400/98

× = 75.51 % of 98

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

Answer:

[tex]x = ln(2 - 1) [/tex]

Answer:

168

Step-by-step explanation:

24x7=168

Answer:

In total, the amount of milk every kid combined drank is 672 ounces.

Step-by-step explanation:

If four kids drank 24 ounces of milk for seven days, you would solve it as follows:

First, the amount all the kids drink in one day combined is 96 ounces.

If they drink 96 per day, and they do so for a week (7 days), then that is 96 × 7 because its 96 seven times.

7 × 96 = 672

Answer:

49.41

Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom +   left side + square root of right side squared.

Answer:

Hi! The answer is in the pictures!!

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Answer:

the correct answer is

229/479 = 0.48

The probability that a randomly chosen person from this group is male is 0.48.

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of choosing a male = number of males / total number of males and females

229/479 = 0.48

To learn more about frequency tables, please check: https://brainly.com/question/26577861

Answer:

y=40x-30

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

A visual for law of sines can be found below

Sin (an angles) over its opposite side length is equal to sin ( a different angle) over its opposite side length

In the given triangle we are given side length BC and side length AB

we are also given AB's opposite angle  (40)

And we need to find side length BC's opposite angle (A)

That being said we are given enough information to set up an equation using the law of sines

Remember angle A's opposite side length is 16 and the angle that has a measure of 40 degrees' opposite side length is 12

so the equation would look like...

[tex]\frac{sin(40)}{12} =\frac{sin(A)}{16}[/tex]

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Answer:

63°

Step-by-step explanation:

First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.

Knowing this we can then subtract

90° - 27° = 63°

Answer:

63

Step-by-step explanation:

The measure of a right angle is always 90 so

90-27=63

x = 5/2 or x = 1/3

C is the answer.

Answer:

x = 5/2 or x = 1/3

Step-by-step explanation:

Simplify  

( 2 x − 5 )( 3 x − 1 ) .

6 x 2 − 17 x + 5 = 0

Use the quadratic formula to find the solutions.

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Substitute the values  a = 6 ,  b = − 17 , and  c = 5  into the quadratic formula and solve for  x .

17 ±sqrt(-17)^2-4*(6*5)

_________________

2*6

Simplify.

x = 17 ± 13 /12

The final answer is the combination of both solutions.

x = 5 /2 ,  1 /3

Answer: Yes

You still need to simplify 3/12 because it is not in its MOST simplified form.

3/12 can be simplified to 1/4 by dividing 3.

Answer:

1. We want to write an equation in the form:

Ix - bI ≤ c

Such that the solutions are the range  −1 ≤ x ≤ 3

First, the extremes of the range are: - 1 and 3

Half of the difference between these values is:

m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2

Now let's go to the lower extreme, and add this value, we get:

-1 + m = -1 + 2 = 1

(if we go to the upper value and we subtract m, we get the same)

This is the mid-value of the solution interval, and we will define it as M

We now can write the absolute value inequality as:

I x - MI ≤ m

In our case, we get:

Ix - 1I ≤ 2

2.

Now we want to have the solution set given by:

x ≤ -9

x ≥ -5

In this case, we will have an equation of the form:

Ix - MI ≥ m

(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).

So let's do the same than in the above case:

m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2

M = -9 + 2 = -7

Replacing these in the absolute value inequality we got:

Ix - (-7)I ≥ 2

Ix + 7I ≥ 2

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].