Two parallel lines are cut by a transversal as shown below.

Step-by-step explanation:

We need to solve each equation.

a. 6c = 30

c = 30/6 = 5

b.

2d-6=12

Adding 6 both sides

2d-6+6=12+6

2d = 18

d = 9

c.

[tex]\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21[/tex]

d.

50=14+3m

50-14=3m

36=3m

m = 12

Hence, this is the required solution.

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

Using the binomial distribution, it is found that there is a 0.0432 = 4.32% probability that she makes less than 6 of them.

-----------------------

For each throw, there are only two possible outcomes. Either she makes it, or she misses it. The probability of making a throw is independent of any other throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution  

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The probability of making less than 6 is:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{13,0}.(0.654)^{0}.(0.346)^{13} \approx 0[/tex]

[tex]P(X = 1) = C_{13,1}.(0.654)^{1}.(0.346)^{12} \approx 0[/tex]

[tex]P(X = 2) = C_{13,2}.(0.654)^{2}.(0.346)^{11} = 0.0003[/tex]

[tex]P(X = 3) = C_{13,3}.(0.654)^{3}.(0.346)^{10} = 0.0020[/tex]

[tex]P(X = 4) = C_{13,4}.(0.654)^{4}.(0.346)^{9} = 0.0093[/tex]

[tex]P(X = 5) = C_{13,5}.(0.654)^{5}.(0.346)^{8} = 0.0316[/tex]

Then

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0 + 0 + 0.0003 + 0.0020 + 0.0093 + 0.0316 = 0.0432[/tex]

0.0432 = 4.32% probability that she makes less than 6 of them.

A similar problem is given at https://brainly.com/question/24756209

Answer:

Option B:

[tex]H_0: \mu = 22.1[/tex]

[tex]H_a: \mu \neq 22.1[/tex]

Classification:

The hypothesis test is Two-tailed.

Step-by-step explanation:

The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.

This means that the null hypothesis is that the mean is of 22.1 months, that is:

[tex]H_0: \mu = 22.1[/tex]

A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.

At the alternate hypothesis, we test if this mean is different of 22.1, that is:

[tex]H_a: \mu \neq 22.1[/tex]

Which means that the answer is given by option b).

Which of the following is the correct classification of the hypothesis test?

We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.

Answer:

490.87 inches²

Step-by-step explanation:

Hi there!

What we're trying to find: the area of the circular-shaped pizza

What we know: the diameter of the pizza (25 inches)

Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle

To find the radius, divide the diameter by 2:

25 inches ÷ 2 = 12.5 inches

Plug 12.5 inches into the area equation

[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]

The area of the circle (pizza) is approximately 490.87 inches².

Therefore, Daniel ate 490.87 inches² worth of pizza.

I hope this helps!

Answer: -5,1

Step-by-step explanation: Hope this help :D

Answer:

15) letter A

16) letter C

Step-by-step explanation:

Used a graphing calculator,

hope this helps.

Answer:

x = 7

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation

x = c

where c is the value of the x- coordinates the line passes through, then

x = 7 ← equation of line

Answer:

I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.

3x+0

Step-by-step explanation:

Using the formula mx+b we can get our answer.

We know that the two points pass through (7, 0)

mx+b is (slope)x+(y-intercept)

The slope of the two lines is 3 so we can replace m for 3:

3x+b

the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.

Answer:

Slope -6,5

Step-by-step explanation:

Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.

Answer:

628.32 in.²

Step-by-step explanation:

Height: 15 in.

Diameter: 10 in.

Radius: 5 in.

A = 2πrh + 2πr²

2 · π · 5 · 15 + 2 · π · 5²

≈ 628.32

[tex] \huge{ \underline{ \mathcal{Given : }}}[/tex]

[tex]\huge{ \mathcal{ \underline{ solution} }}࿐[/tex]

[tex] \boxed{Area =2 \pi r(h + r)}[/tex]

Surface Area = 628 in²

[tex] \#TeeNForeveR[/tex]

Answer:

5 rides

Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for  1 thrill ride)

Answer:

60

Step-by-step explanation:

I hope you understand what I wrote

Answer:i dont know

Step-by-step explanation:

Help me

The real amount of gold in the padlock is 3 / 5 pounds.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold.

The amount of the golden padlock is calculated as,

Amount = 4 / 5 x 3 / 4

Amount = 3 / 5 pounds

To know more about an expression follow

https://brainly.com/question/29160940

#SPJ2

Answer:

[tex]6(6 - x)[/tex]

Step-by-step explanation:

1) Expand.

[tex]6(x - 2x + 6)[/tex]

2) Collect like terms.

[tex]6((x - 2x) + 6)[/tex]

3) Simplify (x - 2x) + 6 to -x + 6.

[tex]6( - x + 6)[/tex]

4) Regroup term.

[tex]6(6 - x)[/tex]

Therefor, the answer is 6(6 - x).

Answer:

2x - 4 = x - 10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The missing value in the equation is 2.When we substitute 2 for the missing number, the LHS value equals the RHS value.So, response 2 is the right one.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

y=5(?)^x

The given data from the table;

X 0 1 2 3 4 5 6

Y 5 10 20 40 80 160 320

If we put the value 2 on the missing place it will satisfy the relation;

y=5(?)ˣ

5=5(2)⁰

5=2×1

5=5

10=5(2)¹

10=5×2

10=10

20=5(2)²

20=5×4

20=20

The value of LHS is equal to the RHS when we put 2 on the place of missing value.

Hence 2 is the correct answer.

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ1

Answer:

mathwaaaaay

Step-by-step explanation:

its dont have all those a's in it tho

Answer:

13/5

Step-by-step explanation:

first make the mixed fraction into proper fraction

how to make mixed into proper:

Step 1

Multiply the denominator by the whole number

4 × 3 = 12

Step 2

Add the answer from Step 1 to the numerator

12 + 1 = 13

Step 3

Write answer from Step 2 over the denominator

13/4

=[tex]\frac{13}{14}[/tex]

step 2.

multiply across.

example : 13 x 4 =52.

4x5=20

step 3:

divide 52/20 as the lowest possible.

which comes out to 13/5

Step-by-step explanation:

1.

The given equation is :

6x+2y=14

We need to write it in the function form.

Taking 2 common from both sides,

2(3x+y)=2(7)

So,

(3x+y)=7

Subtract 3x from both sides,

y+3x-3x=7-3x

y = 7-3x

So, the correct option is (c).

2. f(x) = 3x-4

We need to find f(2). Put x = 2 in the above function.

f(2) = 3(2)-4

= 6-4

= 2

The correct option is (D).

Answer:

<1 and <3

They are verticle angles.

Answer: <1 and <3

Hope this helps :D

Pls don’t mad if this is wrong

Answer:

356%

Step-by-step explanation:

Incease in weight

2,918 - 640 = 2,278

% increase

p = increase / original  * 100%

p = 2,278 / 640 * 100

p = 355.9375%

Rounded

356%

Answer:

20 cubic meters

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

Dividing the figure into 2 rectangular prisms

Volume of First rectangular prisms = 4m * 2m * 1m

Volume of First rectangular prism = 8m^3

Volume of second rectangular prism = 4m * 3m * 1m

Volume of second rectangular prism = 12m^3

Taking the sum

Volume of the figure = 8m^3 + 12m^3

Volume of the figure = 20 cubic meters

Answer:

(D) a hexagon......................

Answer:

19/28

Step-by-step explanation:

People who count: 4 + 2 + 13 = 19

Total amount of pplz: 19 + 9 = 28

Answer:

15/28

Step-by-step explanation:

The total amount of students in the class is 28. This will be useful for later.

From this table, we can see that 2 people play sports alone and 13 play an instrument alone. Since it says the number of students that play a sport or an instrument, this means that the top left box is not counted. This leaves you with an answer of 15/28.

Answer:

78.38

Step-by-step explanation:

Answer:

Square root of 6144

Step-by-step explanation:

78.3836717691

Answer:

the arc of the angle is 14.7 then whatever the measurement is.

Answer:

x=50

Step-by-step explanation: