Are the lines parallel?

Answer:

help

Step-by-step explanation:

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys

Answer: r= A-P/ Pt

Step-by-step explanation: ur welcome

The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Here,

The formula shown can be used to find A the amount of money Raul has in his saving account.

Raul wants to find r the rate of interest his money earns.

We have to find the equation is correctly solved for r.

What is Rate of interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Now,

The formula which shown to find A is;

A = P + Prt

Hence, equation is correctly solved for r is;

[tex]A = P + Prt\\\\A-P = Prt\\\\r = \frac{A-P}{Pt}[/tex]

So, The equation [tex]r = \frac{A-P}{pt}[/tex] is correctly solved for r.

Learn more about the rate of interest visit:

https://brainly.com/question/25793394

#SPJ2

Answer:

22

Step-by-step explanation:

5t=99+11

5t=110

divide both side by 5 to find the value of t

Answer:

3.25

Step-by-step explanation:

it is shrinking by a factor of 4 so every number is 4 times smaller and 13 divided by 4 will give you 3.25

Answer:

3.25

Step-by-step explanation:

As you can see from the one on the left and the other on the right is that the left is larger than the right by the ratio of 4:1

CB = 12, ZY = 3

BA = 5, YX = 1.25

Using this information, to find ZX, we just need to divide CA's  length by 4:

13 / 4 = 3.25

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Answer:

6 servings

Step-by-step explanation:

1,25x6=7.5

The number of servings can you make deep-fried chicken will be 6.

Inequality is defined as an equation that does not contain an equal sign.

You have 8 cups of milk.

You need 1.25 cups to make one serving of deep-fried chicken.

Let x be the number of the deep-fried chicken.

Then the inequality will be

1.25x ≤ 8

On solving, we have

x ≤ 6.4

Then the number of servings can you make deep-fried chicken will be 6.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

22.5

Step-by-step explanation:

Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)

Answer:

-the ratio of the number of tacos Jackie made to the number of tacos Marta made

-the ratio of the number of tacos Marta made to the number of tacos Manny made

-the ratio of the number of tacos Manny made to the number of tacos Marta made

-the ratio of the number of tacos Vinny and Marta made to the number of tacos Vinny and Evelyn made

Step-by-step explanation:

There are 4 that apply! Jackie and many both made 6 and Marta made 4 so the ratio is 6:4! Vinny and Marty's combined is 6 and Vinny and evelyn's combined is 4 so the ratio is 6:4!

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

290.4 I'm guessing cuz bbn it closest to what I got

9514 1404 393

Answer:

  x ≥ 1

Step-by-step explanation:

The argument of the square root cannot be negative, so the expression is only defined for ...

  x³ -1 ≥ 0

  x³ ≥ 1 . . . . . add 1

  x ≥ ∛1 . . . .  cube root

  x ≥ 1 . . . . the domain of the expression

_____

As you can see, the graph only exists for x ≥ 1.

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

Answer:

411.1111111

Step-by-step explanation:

18% of x = 74

Convert 18% into a decimal.

0.18 • x = 74

Isolate x by dividing by 0.18.

x = 411.1111111

Check answer.

0.18 • 411.1111111 = 74

74 = 74

Answer:

5 shirts

Step-by-step explanation:

78.25- 3.25 = 75

75/ 15 = 5

Answer:

Y = 3x -7 is your answer hope I helped

Step-by-step explanation:

Step-by-step explanation:

We know that opposite sides of parallelogram are equal so

t + 10 = 3t

3t-t = 10

2t = 10

t = 10/ 2

t = 5

Therefore the value of the should be 5 so that it makes a parallelogram.

Hope it will help :)

Answer:

ima say 200 but I'm not 110 percent sure

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

Learn more about Arithmetic Progression here:

https://brainly.com/question/16947807

#SPJ2

Answer: 87.92cm

Step-by-step explanation:

The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.

3.14x28 = 87.92

The circumference of the circle is 87.92 cm

The value of the tangent of angle α will be 35/12. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔABC is given below.

Then the value of tan α will be

tan α = 35 / 12

Then the correct option is B.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

Answer:

the second one I'm pretty sure

Step-by-step explanation:

Answer:

its definitely B

Step-by-step explanation:

Answer:

1) Yes

2) No, this polynomial has complex roots

3) No, this polynomial has irrational roots

Step-by-step explanation:

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

What is Function?

A relation between a set of inputs having one output each is called a function.

Functions are given as;

f (x) = 4x² - 25

g (x) = 4x² + 25

h (x) = 3x² - 25

Now,

a. f (x) = 4x² - 25

To find the roots we can set up 0,

f (x) = 4x² - 25 = 0

4x² - 25 = 0

4x² = 25

Divide by 4,

x² = 25/4

Take square root both side,

x = √25/4

x = ±5/2

Thus, The function has rational roots.

So, Rational roots theorem provide a complete list of all roots.

b) g (x) = 4x² + 25

To find the roots we can set up 0,

4x² + 25 = 0

4x² = - 25

Divide by 4,

x² = - 25/4

Taking square root,

x = √-25/4

x = ±5i/2

Thus, The function has complex roots.

So, Rational roots theorem does not provide a complete list of all roots.

c) h (x) = 3x² - 25

To find the roots we can set up 0,

3x² - 25 = 0

3x² = 25

Divide by 3,

x² = 25/3

x² = 8.333

Take square root both sides,

x = √8.333

x = ±2.89

Thus, The function has irrational roots.

So, Rational roots theorem does not provide a complete list of all roots.

Therefore,

a. Rational roots theorem provide a complete list of all roots of

f (x) = 4x² - 25

b. Rational roots theorem does not provide a complete list of all roots of

g (x) = 4x² + 25

c. Rational roots theorem does not provide a complete list of all roots of

h (x) = 3x² - 25

Learn more about the rational root theorem visit:

https://brainly.com/question/25216212

#SPJ5