Which of the following pairs of events are disjoint (mutually exclusive)?
a) A: odd numbers; B: the number 5

b) A: even numbers; B: numbers greater than 10
c)A: numbers less than 5; B: all negative numbers
d)A: numbers above 100; B: numbers less than -200​

Answer:

Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

We have,

Let's denote the time as t.

Horizontal motion:

The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:

x = vt

where v is the horizontal velocity, which in this case is 52 ft/s.

Vertical motion:

The vertical position (y) can be determined using the equations of motion under constant acceleration.

The skateboarder experiences acceleration due to gravity (g) acting downward.

The initial vertical position is 5 ft, and the initial vertical velocity is

0 ft/s.

Using the equation of motion:

[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]

Substituting the given values:

y = 5 + 0t + 0.5(32)t²

y = 5 + 16t²

Thus,

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

A

Step-by-step explanation:

the equation is always x=-b/2a

Answer:

Hence  Mr Drew will get 20 pieces of a Quarter

Step-by-step explanation:

From the question we are told that:

Money changed [tex]m= 5[/tex]

Number of coins [tex]N=20p[/tex]

Generally the equation for coin change into x is mathematically given by

 [tex]x=\frac{m}{N}[/tex]

 [tex]x=\frac{5}{20}[/tex]

 [tex]x=\frac{1}{4}[/tex]

Therefore oin change into x is given as

 [tex]x=\frac{1}{4}[/tex]

Hence  Mr Drew will get 20 pieces of a Quarter

Answer:

152 square inches

Step-by-step Explanation:

To answer this, please look at the picture below. We can find the area by separating and combine the value of areas after calculating three values for each areas. (Notice that when we separate them, we get three rectangles which we can use the formula of width × length)

We should get 80+48+24 which add up to 152.

In case if you are confused which parts you don't understand in these photos, you can ask in the comment.

Answer:

4

Step-by-step explanation:

Because it is the answer

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

Answer:

Practice

Step-by-step explanation:

Just keep trying maybe read it out loud or write it?

Answer:

Go though it fast but get the key info

Step-by-step explanation:

Answer:

1/32

Step-by-step explanation:

There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.

1/8 * 1/4 = 1/32 chance of landing on green and then blue.

Answer: 18 yellow flowers

Step-by-step explanation:

There are 9 flowers in each of the 6 rows. The total number of flowers planted is therefore:

= 6 rows * 9 flowers per row

= 54 flowers

A 1/3 of these flowers were yellow flowers so the number of yellow flowers planted is:

= 1/3 * 54

= 54/3

= 18 yellow flowers

Answer:

6 ; 10

18 ; 162

Step-by-step explanation:

Recall :

Rate of change = Slope = Rise / Run = (y2 - y1) / (x2-x1)

2nd point is (1, 7)

3rd point is (2, 13)

Rate of change = (13 - 7) /(2 - 1)  = 6 /1 = 6

3rd and 4th point :

(2, 13)

(3, 23)

Rate of change = (23 - 13) / (3 - 2) = 10 /1 = 10

PART B:

(2, 11) ; (3, 29)

Rate of change = (29 - 11) / (3 - 1) = 18 /1 = 18

(4, 83)

(5, 245)

Rate of change = (245 - 83) /  (5-4) = 162 / 1 = 162

Answer:

the formula used gives surface area instead of volume

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

Answer:

1. The sample size is greater than 30.

Step-by-step explanation:

z test is a statistical test, used for hypothesis testing, for verifying statistical significance of a population parameter (from sample statistic)

It is used when in case when the sample size is large, ie greater than 30. It is used when the data follows normal distribution. In case of small sample size, ie less than 30, t test is used.

Answer:

The Interquartile range is 10.

Step-by-step explanation:

First, we will need to find the mean, the mean of this sequence is 16, you will now need to find quartile 1 and quartile 3. Quartile 1 is 13, and quartile 3 is 23. Lastly, subtract Quartile 3 and Quartile 1 will be the answer.

So, 23-13=10

The Answer will be 10, the interquartile range is 10.

Hope this helps!

Answer:

(0-8)

Step-by-step explanation:

the z represents a unknown number.=, and because it equals y it starts at 0. so (0-8)

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

Answer:

7 hours

Step-by-step explanation:

24 hours - 25% - 1/3 - 1/8 =

18 - 8 - 1/8 =

10 - 1/8 =

7

Answer:

yawwwwwwnnn......,....done

Answer:

C. 225 km3

Step-by-step explanation:

Answer:

120 and 60  (both add 180)

Step-by-step explanation:

If  two supplementary angles are adjacent to each other then they are called linear pair.

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Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer: 0

Step-by-step explanation:

So the slope of a line is equal to rise over run, or the change in x over the change in y. We can solve for the change in x and the change in y by finding their differences. For the math, we use the formulas y2 - y1/x2 - x1. Filling in this formula we get, (5-5)/(3-13), which is equal to 0/10. Because 0 divided by anything is 0, the answer here is 0.

Answer:

In image

Step-by-step explanation:

if y=3x^2

if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3

if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12

Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2

Step-by-step explanation:

This is saying " Every number possible thats less than, but not 0" so you show that