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Answer:

Adult Tickets 3a

Student Tickets = a

Senior Tickets a+8

Step-by-step explanation:

Answer:

a=students

3a=adults

3a+8=senior

Step-by-step explanation:

Answer:

three million

Step-by-step explanation:

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Using the law of total probability, the probability that the system will function is 0.86.

Let,

the probability of rainy day is= p(r),

probability of non-rainy day =  p(nr),

probability that system will function = p(f),

probability that system will function if it is a rainy day = p(f|r)

probability that system will function in non-rainy day = p(f|nr)

Then the following information is given in the question:

p(r) = 0.20

then, p(nr) = 1-0.20 = 0.80

p(f|r) = 0.7 (4 out of 6 components function with 0.7 probability each)

p(f|nr) = 0.9 (4 out of 6 components function with 0.9 probability each)

We have to find the probability that the system will function tomorrow.

According to the total probability law:

Probability that function will function tomorrow = p(r)p(f|r) + p(nr)p(f|nr)

Substitute the given probabilities:

P(f) = 0.20 x 0.7 + 0.80 x 0.9

P(f) = 0.14 + .72

P(f) = 0.86

Hence, the probability that the system will function tomorrow is 0.86.

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Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Initial velocity ,u= 14 m/s

a =_g

= 9.8 m/s

velocity at highest point,v=30 m/ s

=2as=v sqare _u square

=s= 35.99 m

Answer:

15x+30<10x-45

Step-by-step explanation:

Answer:

104, 105, 106

Step-by-step explanation:

Consider three consecutive integers.  If the first is x then the second is 1 more than x (or x+1) and the third is x+2

The sum of these three integers is x + x+1 + x+2 and is known to be 312, so

x + x+1 + x+2 = 312, gather like terms

3x + 3 = 312, subtract 3 from both sides

3x = 309, divide both sides by 3

x = 104, so the integers are

104, 105, 106

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Answer:

4:9

Step-by-step explanation:

12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3

I think that's what the question is asking...

Answer:

42

Step-by-step explanation:

It changes 42 cents each year

Answer:

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50.

This means that [tex]\mu = 20.5, \sigma = 3.5[/tex]

a. Between $20.50 and $24.00 per hour

This is the pvalue of Z when X = 24 subtracted by the pvalue of Z when X = 20.5. So

X = 24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 20.5}{3.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 20.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 20.5}{3.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

0.3413 = 34.13% probability that the crew member earns between $20.50 and $24.00 per hour

Answer:

m < -6 or m > 8

Step-by-step explanation:

m - 2 < -8

Add 2 to both sides of the inequality.

m < -8 + 2

m < -6

m/8 > 1

Multiply both sides of the equation by 8

m/8 ⋅ 8 > 1 ⋅ 8

Simplify.

m > 8

good luck, i hope this helps :)

Answer:

area of shaded region =total area - outer shaded area

Answer:

udvugeciiffhi3fo

Step-by-step explanation:

bc whcehfiwhidheihgeigdi2iwg

Answer: expression, addition, subtraction, divide , math

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since this is a right angle, we can use trig functions

Cos theta = adjacent side/ hypotenuse

cos ? = 20/23

Take the inverse cos of each side

cos ^-1 (cos ?) = cos ^-1(20/23)

? =29.59184579

To the nearest degree

? = 30

Answer:

A) Gradient = -3

B) 3y - x = 7

Step-by-step explanation:

The curve has the equation;

y = x³ - 6x² + 9x + 1

We are given the pints it passes through as;

A(2,3) and P(3, 1)

A) to find the gradient, we will find the derivative of the given equation.

Thus;

Gradient = y' = 3x² - 12x + 9

At point A, x = 2. Thus;

Gradient = 3(2²) - 12(2) + 9

Gradient = 12 - 24 + 9

Gradient = -3

B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3

Thus, equation of the normal to the curve at point A will be;

(y - 3) = ⅓(x - 2)

Multiply both sides by 3 to get;

3y - 9 = x - 2

3y - x = 9 - 2

3y - x = 7

Answer:

c

Step-by-step explanation:

I think

The points that could be on the line

y = 7x - 16 are (-2, -30)

-30 = 7 X -2 - 16

-30 = -14 - 16

-30 = -30

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

A line has a slope = 7 and passes through the point (3, 5).

Now,

The equation of a line can be written as,

y = mx + c

m = 7

y = 3x + c

Now,

(3, 5) = (x, y)

5 = 7 x 3 + c

5 = 21 + x

5 - 21 = c

c = -16

The equation of the line.

y = 7x - 16

The points that could be on the line have to satisfy the equation.

y = 7x - 16

A.

(-1, -24)

y = 7 x -1 - 16 = -7 - 16 = -23

This is not true

B.

(-2, -30)

y = 7 x -2 - 16 = -14 - 16 = -30

This is true.

C.

(6, 24)

y = 7 x 6 - 16 = 42 - 16 = 26

This is not true.

D.

(10,55)

y = 7 x 10 - 16 = 70 - 16 = 54

This is not true.

Thus,

The points that could be on the line

y = 7x - 16 are (-2, -30)

-30 = 7 X -2 - 16

-30 = -14 - 16

-30 = -30

Option B is the correct answer.

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Answer in fraction form = 33/2

Answer in decimal form = 16.5

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Work Shown:

n = some number

2n = twice that number

2n+3 = "sum of twice a number and 3"

[tex]\sqrt{2n+3}[/tex] = square root of the previous expression

The equation we need to solve is [tex]\sqrt{2n+3} = 6[/tex]

We'll follow PEMDAS in reverse, undoing each operation, to isolate n

[tex]\sqrt{2n+3} = 6\\\\\left(\sqrt{2n+3}\right)^2 = 6^2 \ \ \text{ ... square both sides}\\\\2n+3 = 36\\\\2n+3-3 = 36-3 \ \ \text{ ... subtract 3 from both sides}\\\\2n = 33\\\\\frac{2n}{2}=\frac{33}{2} \ \ \text{ ... divide both sides by 2}\\\\n = \frac{33}{2}\\\\n = 16.5[/tex]

Answer:

[tex]\frac{33}{2}[/tex]

Step-by-step explanation:

 In the problem, "The square root of the sum of twice a number and 3 is 6" can be converted to an equation that looks like this:

Let x be the number:

[tex]\sqrt{2x+3 = 6 }[/tex]

In order to solve the problem:

[tex]\sqrt{2x+3}^2=6^2[/tex]

By squaring both sides to remove the exponent:

[tex]{2x + 3 = 36}[/tex]

Simplify:

[tex]{2x+3-3=36-3}[/tex]

Subtract 3 from both sides:

[tex]{2x = 33 }[/tex]

Then Simplifying further:

[tex]\frac{2x}{2} = \frac{33}{2}[/tex]

Divide both sides by 2 to remove 2 from the x.

[tex]{x = \frac{33}{2} }[/tex]

Thus, meaning the answer is [tex]\frac{33}{2}[/tex]

Hope this helps you.

Answer:

-9

Step-by-step explanation:

(7)(-3)+12

-21+12

-9

Answer:

-9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

pg + 12

p = 7

g = -3

Step 2: Evaluate

Answer:

Hi

Step-by-step explanation:

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

Answer:iscusses the domain and range of a function, and how to find the domain ... {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)} ... If you find any duplicate x-values, then the different y-values mean that you do not have a function. ... I'll just list the x-values for the domain and the y-values for the range: domain: {–3, –2, –1, 0, 1, 2}. range: {5}.

Step-by-step explanation:

Answer:

i think its 64.3