Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the diving board. How far is Paula from the surface of the water:
1. What integer represents Paula's starting height above the water?

2. What integer represents the total distance Paula descends?

3. Write an addition expression to represent Paula's distance below the water's surface

4. At the end of her dive, Paula is ____feet below the surface of the water

5. Yolanda owes her friend $15. She also earns $8 each week in allowance. Write and solve an addition equation to show how the total amount of money that Yolanda has will change if she pays her friend back this week.

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

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Answer:

B. or the second one

Step-by-step explanation:

Answer:

Interest=PTR/100

110 =P×1×22/100

11000=22P

P=500

Answer:

<2=107

Step-by-step explanation:

Alternate interior angles are congruent they have equal measure

Answer:

0.72%

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer:

4.2=420/100

4.2-4.2=0

7/20=x/100

x=5×7=35

Answer:

No

Step-by-step explanation:

it doesnt add up to 180 degrees

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Answer:

D. She should find the average of 4.4 and 4.5

Explanation:

(4.4 + 4.5)/2 = 4.45

4.45² ≈  19.80

4.45² is closer to 20 than 4.4² and 4.5²

next she will repeat the same process: (4.45 + 4.5)/2

Answer:

[tex]z=\frac{0.48-0.59}{\sqrt{\frac{0.59(0.41)}{100}}}[/tex]

Step-by-step explanation:

The z score in terms of the null hypothesis and surveyed statistic is in the form [tex]z=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}[/tex], (similar to [tex]z=\frac{x-\mu}{\sigma}[/tex]) where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and [tex]\hat{p}[/tex] is the statistic (in this case, 0.48). Finally, [tex]n[/tex] is the sample size, 100. Substitute in your values, and you get the above answer.

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

A local elementary school claims that 59% of its students bring their own lunch on a daily basis.

The z score in terms of the null hypothesis and surveyed statistic is in the form,

[tex]\frac{P-P_0}{\sqrt{P_0(1-P_0)/n} }[/tex]

where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and P is the statistic (in this case, 0.48)

Finally,  is n the sample size, 100.

Substitute in your values, and you get the above answer,

[tex]Z=\frac{0.40-0.59}{\sqrt{\frac{0.59(0.41}{100} } }\\ \\=-3.8630[/tex]

The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.

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Answer:

89.75

Step-by-step explanation:

Sorry if its wrong!

Answer:

9

Step-by-step explanation:

At x=0, this function's y-value is simply 10. At x=2, the y-value is 28.

We can figure this out by using the slope formula.

[tex](y^2-y^1)/(x^2-x^1)[/tex]

We plug in values to get:

[tex](28-10)/(2-0)[/tex]

18 / 2

9

Answer:

gracias por lo 20 puntos

Step-by-step explanation:

Answer:

Hello! answer: 12.56

Step-by-step explanation:

Area for circles is found be doing

radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4

4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!

Answer:

13.70

Step-by-step explanation:

a^2+b^2=c^2

a = side 1

b = side 2

c = hypotenuse

9.2^2 + b^2 = 16.5^2

272.25 - 84.64 = 187.61 =b^2

√187.61 = b = 13.697 = 13.70

Answer:

see I hope u understand

Answer:

20. bcg

21. 124

Step-by-step explanation:

Answer:

1) 7/3

2) Undefined

3) 1

4) 7/4

Step-by-step explanation:

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

Answer:

-103 + (-35) = -138

138 - 35 = -103

138= answer

Step-by-step explanation:

yw <3

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

Answer:

point slope form

y-y1=m(x-x1) where

m=slope and you are given a point (x1,y1)

slope=-5

point is (2,-1)

x1=2

y1=-1

m=-5

so

y-(-1)=-5(x-2)

y+1=-5(x-2) is answer

Answer: System 1 has an infinite number of solutions and System II has no solutions.

Step-by-step explanation:

If we look at system 1, we see that if we multiply the first equation by 2 and subtract the y value so that its on the same side as x, the equations are the same. That means that no matter the x or y value, it will be a solution.

If we look at system 2, however, we see that if we multiply the top equation by 3, the equations are the exact same except for the fact that the top equation has a -21. This means that no matter the x or y, there will never be a solution.

If the measure of an angle is 360°, then the value of sin²θ + cos²θ = 1 will be  0² + 1² = 1. Then the correct option is B.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The equation is given below.

sin²θ + cos²θ = 1

If the angle is 360°. Then the equation will be

sin²360° + cos²360° = 1

                      0² + 1² = 1

Then the correct equation is B.

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Answer:

Step-by-step explanation:

it’s B

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

Answer:

17) [tex]- \frac{3}{2}[/tex]

18) [tex]\frac{5}{4}[/tex]

19) [tex]-\frac{1}{2}[/tex]

20) [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

y = (x , y)

x = (x , y)

slope = m

b = y-intercept

~

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

17) -4y + 16 = 6x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 16 from both sides of the equation:

-4y + 16 (-16) = 6x (-16)

-4y = 6x- 16

Next, divide -4 from both sides of the equation:

(-4y)/-4 = (6x - 16)/-4

y = (6x)/-4 + (-16)/-4

y = -3x/2 + 4

Slope: [tex]-\frac{3}{2}[/tex]

~

18) 0 = -12y -36 + 15x

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 12y to both sides of the equation:

0 (+12y) =  - 12y (+12y) + 15x - 36

12y = 15x - 36

Next, divide 12 from both sides of the equation to isolate the variable, y:

(12y)/12 = (15x - 36)/12

y = (5/4)x - 3

Slope: [tex]\frac{5}{4}[/tex]

~

19) 3x = -6y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -6 from both sides of the equation:

(3x)/-6 = (-6y)/-6

y = 3x/-6

y = -(3/6)x

Simplify. Divide common factors from both the numerator and denominator.

-(3/6)/(3/3) = - 1/2

Slope: [tex]-\frac{1}{2}[/tex]

~

20) -2x -5 = -5y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Divide -5 from both sides of the equation:

(-2x - 5)/-5 = (-5y)/-5

y = (-2x - 5)/-5

y = (2/5)x + 1

Slope: [tex]\frac{2}{5}[/tex]

Answer: B.

Step-by-step explanation: took the quiz.

Answer:

Paul spent $12.65

Step-by-step explanation:

Create a system of equations where p is how much Paul spent and t is how much Tammy spent.

p + t = 37.85

p = t - 12.55

Solve by substitution:

p + t = 37.85

(t - 12.55) + t = 37.85

2t - 12.55 = 37.85

2t = 50.4

t = 25.2

Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55

p = t - 12.55

p = 25.2 - 12.55

p = 12.65

So, Paul spent $12.65