x is a normally distributed variable with a mean of 32 and a standard deviation of 19 what is P(x<63)

Answer:

45.3 miles/h

Step-by-step explanation:

The answer is 45.3 miles/h

ANSWER:

45 3/10 mph

decimal form: 45.3 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

So hence, your answer is 45 3/10 mph. In decimal format, it can be 45.3

Answer:

Step-by-step explanation:

We have two equations :

Take the value of x in Equation 2 and substitute in Equation 1.

Now, take the value of y and substitute in Equation 2.

Solution

Answer:

The lines intersect at the point (-1, 0)

Step-by-step explanation:

−5(      )−y=5

-5(7y-1) - y = 5    substitute the x=7y-1 into first equation

-35y + 5 - y =5   multiply -5

-36y + 5 = 5        combine like terms

-36y = 0              subtract 5

y=0                      divide by -36

x=7(0)-1                substitute 0 for y in x=7(  )-1

  =-1                      simplify

The lines intersect at the point (-1, 0)

Answer:

V=3x+6

Step-by-step explanation:

slope intercept form: y=mx+b

V-5=3(x+1)

[open parentheses]

V-5=3x+1

[combine like terms; add 5 to both sides]

V=3x+6

why is it v tho

Answer:

d

Step-by-step explanation:

Each point has been moved 2 spaces to the right and 5 units down.

Moving 2 spots to the right means x updates to x+2

Moving 5 units down tells us to change y to y-5

Therefore, [tex](x,y) \to (x+2, y-5)[/tex]

Answer:

3/4

Step-by-step explanation:

Hey there!

When multiplying fractions, there is no need to make the denominators the same like how you do when adding fractions

So we can just straight multiply the numerators and the denominators together

[tex]\frac{1}{4}*\frac{3}{1}[/tex]

I made 3 to 3/1 so the multiplying process is easier

3 x 1 is 3 and 4 x 1 is 4

The numerator is 3

The denominator is 4

3/4

So 1/4 x 3 is 3/4

Answer: B

Step-by-step explanation:

1/2 8 *7 = 28

because there is 4 triangles you do this 28+28+28+28

28+28+28+28 = 112

The lateral surface area of the pyramid is 112 sq. in.

The correct answer is an option (B)

From the attached figure of the net of a square pyramid, we can observe that the side length of the square base is 8 in and height of the lateral triangular face is 7 in.

Hence, The lateral surface area of the pyramid is equal to the area of the four triangular faces of the pyramid.

Using the formula of the area of triangle, the lateral surface area would be,

A = 4 × (1/2 × base × height)

A = 4 × (1/2 × 8 × 7)

A = 4 × (4 × 7)

A = 4 × 28

A = 112 sq. in.

Thus, This is the required lateral surface area.

So, The correct answer is an option (B) 112 in²

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Answer:

10 and 3

Ten and three have a difference of three, and their sum is thirteen, with that being said, this should be correct.

Answer:

-3a³ + 3ba²

Step-by-step explanation:

1) Distribute

-3a² (a-b)

-3a³ + 3ba²

Answer:

1, answer ..

b, 50% because add this

40+10=50

Step-by-step explanation:

and 2nd one i dont know but i studied it i did not remember

Answer:

A D E

Step-by-step explanation:

https://brainly.com/question/18143812

Answer:

Step-by-step explanation:

Identity

Simplifying the LHS (Left Hand Side)

Equating to the RHS

Answer:

19

Step-by-step explanation:

[tex](\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19[/tex]

The final step of the inequality equation –10 + 8x < 6x – 4 is x > 3. Then the correct option is D.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The inequality equation is given below.

–10 + 8x < 6x – 4

This can be simplified as

–10 + 8x < 6x – 4

       –10 < –2x – 4

        –6 < –2x

        –3 < –x

          x > 3

More about the inequality link is given below.

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Answer:

104

Step-by-step explanation:

5 to 4 equals 9

divide 234 by 9 and you get 26

26 times 5 is 130

and 26 times 4 is 104

so 130 to 104 adding up gives you 234

and the number of women employees would be 104

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

Additional comment

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, the mean and the decay parameter are, respectively, given by:

[tex]m = 50, \mu = \frac{1}{50} = 0.02[/tex].

The probability that a randomly selected part will fail in less than 20 hours is given by:

[tex]P(X \leq 20) = 1 - e^{-0.02 \times 20} = 0.3297[/tex]

0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.

More can be learned about the exponential distribution at https://brainly.com/question/18596455

Answer:

x =number of child tickets

y=number of adult tickets

x + y = 9

3x +9y = 57

x = 9-y

3(9-y) + 9y =57

27 - 3y + 9y = 57

6y = 30

y=5 adult tickets

x = 4 child tickets

Answer:

adult's tickets a=5

child's tickets c=4

Step-by-step explanation:

a+c=9

9a+3c=57

c=9-a

3a+c=19

3a+9-c=19

2a=10

a=5

c=9-a=9-5=4

Answer:

p=2

Step-by-step explanation:

8n + 16 = 8n + 8p

subtract 8n

16=8p

divide both sides by 8

p = 2

To find the value of p that sets the expression equal to each other:

  ⇒ must set both equations equal to each other, like such:

            [tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]

Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​ is 2

Answer: 2

Hope that helps!

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

Answer:

True

Step-by-step explanation:

plug in numbers

4(-3)+15=3

-12+15=3

-3+15=12

Answer:

soz i need points n

Step-by-step explanation:

cuz

Answer:

5000 dollars

Step-by-step explanation:

Let his budget be x

16% of x is 800 dollars

.16 * x = 800

Divide each side by .16

.16x/.16 = 800/.16

x=5000

His budget is 5000 dollars

This solution is arrived at using the principles of Quadratic Functions and Inequalities. It is to be noted that the function increases at (-8, 4).

A quadratic function can be defined as that is written in the following way: f(x) = ax2 + bx + c: Where a, b, and c are numbers not equal to zero.

To solve the problem f(4x - 3) ≥ f(2 - x^2), Df = (-8 , 4), we:

A) 4x - 3 ≥ 2 - x²

Rewrite as:  x² + 4x - 2 - 3 ≥ 0

B) Collect the like terms

x² + 4x - 5 ≥ 0

C) Expand to have  x² + 5x - x - 5 ≥ 0

D) Factorizing the expression we have

x(x + 5) - 1(x + 5) ≥ 0, from this we  Factor away x + 5

(x - 1)(x + 5) ≥ 0

E) Solving  for x we obtain: x ≥ 1 or x ≥ -5

This can also be rewritten to read:

-5 ≤ x ≤ 1

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Answer:

8

Step-by-step explanation:

We know that

Equation

[tex] {x}^{2} + {y}^{2} + 2gx + 2fy + c = 0[/tex]

Represents the equation of Circle

where

[tex]radius = \sqrt{ {g}^{2} + {f}^{2} - c } [/tex]

On comparing the given equation with general Equation of Circle

we get

[tex]g = - 5[/tex]

[tex]f = 3[/tex]

[tex]c = - 30[/tex]

On substituting these values We get

[tex]radius = \sqrt{ { (- 5)}^{2} + {3}^{2} - ( - 30) } [/tex]

[tex]radius = \sqrt{25 + 9 + 30 } = \sqrt{64 } = 8[/tex]

[tex]radius = 8[/tex]

Answer:

4.33 miles

Step-by-step explanation:

20 minutes=1/3 of an hour

because 1 hour=60minutes

so 20/60 = 1/3

for your answer

13× 1/3=4.33

therefore she was able to bike 4.33 miles in 20 minutes at a constant speed

Probability helps us to know the chances of an event occurring. The probability of getting a tail and an even number is 0.25.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Since a coin has two faces, therefore, the probability of getting either of the sides of the coin is (1/2). While a die has six faces, so the probability of getting any side of the die is (1/6).

A.) The probability of getting a tail and an even number can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Even Number(2,4,6) } = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

[tex]\text{Probability (Tails and an even number)} = \dfrac12 \times \dfrac12 = 0.25[/tex]

B.) The Probability of getting tails and the number 9 can be written as,

[tex]\text{Probability of getting a tail} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of Number 9} = \dfrac{0}{6} = 0[/tex]

[tex]\text{Probability of the tails and the number 9} = 0[/tex]

C.) The Probability of getting Heads or a number bigger than 4 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of a number bigger than 4 (5,6) } = \dfrac{2}{6} = \dfrac{1}{3}[/tex]

[tex]\text{Probability (Heads or a number bigger than 4 )} = \dfrac12 + \dfrac13 = \dfrac{5}{6} = 0.83333[/tex]

D.) The Probability of getting Heads or the number 2 can be written as,

[tex]\text{Probability of getting a Head} = \dfrac{1}{2}[/tex]

[tex]\text{Probability of the number 2} = \dfrac{1}{6}[/tex]

[tex]\text{Probability (Heads or the number 2 )} = \dfrac12 + \dfrac16 = \dfrac{8}{12} = 0.6666[/tex]

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Answer:

Its C because the formula to find the volume of the cone is π x radius² x height / 3 and in this case the radius is 4 and the height is 27 so π x 27 x 4² which is 452.16 and 144 x π is 452.16

Step-by-step explanation:

Please mark as brainliest

6

x

−

12

y

=

14

Yw :D pls mark me brainiest

Answer:

It's B

Step-by-step explanation:

I did the test