Mathematics High School

The numbers 1-10 are placed in a bag. Each student draws a number and then makes a
statement about the probability.
a. What is the probability of the number being between 2-7?
b. What is the probability of the number being a multiple of 5?
c. Describe what the complement of selecting a 9 represents.
d. If the probability of selecting the number is
3 then what could the question be?
10
If one drink is picked

Answers

Answer 1

Answer:

a. What is the probability of the number being between 2-7?

Step-by-step explanation:

i just have a feeling

Answer 2

The probability of the events are given as 0.6 and 0.2 respectively.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

(a) The total number of elements in sample space are 10.

Then, the probability of getting numbers from 2 - 7 is given as,

P(numbers 2-7) = Number of favorable outcomes ÷ Total outcomes

⇒ 6 ÷ 10 = 0.6

(b) The multiples of 5 are given as 5 and 10

Then, P (Multiple of 5) = Number of favorable outcomes ÷ Total outcomes

⇒ P (Multiple of 5) = 2/10 = 0.2

Thus, complement of 9 represents selection of all the remaining numbers from 1 to 10.

(d) For the probability of 3/10, the question can be asked as to find the probability of selecting numbers from 1 to 3.

Hence, the probabilities of the given events can be found by taking the ratio of favorable outcomes to the total outcomes.

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Related Questions

How much more sand could the container hold before it overflows?

Answers

Answer:

67.5 in^3

Step-by-step explanation:

just calculate the volume

= 5 x 4.5 x 3

= 67.5 in^3

Vasanti has read 0.25 of the book Robinson Crusoe. If she read 0.125 of the book each day, how many more days does she need to complete reading the book?

Answers

Answer:

798 days

Step-by-step explanation:

100-0,25=99,75

99,75/0,125=798

Rewrite the expression with rational exponents as a radical expression.

7 times x to the two thirds power

Answers

I think it’s the last one but I’m not sure. Let me know if you get it right.

An Olympic pool is rectangular with a length of 50 meters. Ms Burri wants to fit an Olympic pool in her backyard but doesn't have enough room so she plans to build a similar pool with a length of only 30 meters.

a. She wants to replace the pool deck around her new smaller pool. What is the ratio of the perimeter of the Olympic pool to the new smaller pool?

b. The area of the olympic pool is 1,2500 meters squared. If she were to buy a pool cover to fit her brand new smaller pool, what would the area be?

Answers

Perimeter of older

2(50+W)100+2W

Perimeter of newer

2(30+W)60+2W

As w is constant cancel it

Ratio

100/605/3

Ratio of area is also same

5/3=12500/x5x=37500x=37500/5x=7500m²

Answer:

See below ~

Step-by-step explanation:

Finding perimeter of Olympic pool and regular pool :

P (olympic) = 2(l + w) = 2(50 + w) = 2w + 100P (regular) = 2(l + w) = 2(30 + w) = 2w + 60

Taking the ratio :

2w + 100 : 2w + 60100 : 605 : 3

Using ratios to find area of regular :

5 : 3 = 12,500 : aa = 12500/5 x 3 = 2500 x 3a = 7,500 m²

equation that shows 3 less than the product of 4 and m

Answers

The equation that shows 3 less than the product of 4 and m is 3 < 4m

Formation of equation

Formation of equation is a means of transforming statements into equations

The product of 4 and m is 4m

If 3 is less than the product of 4 and m, this is expressed as:

3 < 4m

Divide both sides by 4

3/4 < m

m > 3/4

Hence the equation that shows 3 less than the product of 4 and m is 3 < 4m

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What is the surface area of a cube if it’s 15 cm 15 cm and 15 cm

Answers

6 surface in a cube.
1 surface = 15x15
6 surface = (15x15) x 6
= 1350 cm squared

Answer is 1350 cm squared

Answer:

1350 sq in

Step-by-step explanation: leangth times width is 15 x 15 so the face of one side is 225 multiply this by the number of faces in this case six and you get your awnser 1350 sq in

H. e. l. p

____
( - ^ • )
( > > )

MeEee

Answers

For the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.

What is a cube?

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have

1) Side length = 3.2 dm

Volume = (3.2)³ = 32.768 dm³

2) Volume of cube = 216 cubic meters

a³ = 216

a = 6 meters

3) The dimensions for sewing box: 10 cm, 8 cm, and 6 cm

Volume = 10×8×6 = 480 cubic cm

Similarly, we can calculate the rest of the data.

Thus, for the part 1 volume is 32.768 dm³, for part 2 side length is 6 meters, and for part 3 the volume is 480 cubic cm.

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What is the mean of the normal distribution shown below?

Answers

Answer:

Step-by-step explanation:

thx

The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model

Answers

The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches

What is the area of a rectangle?

The area of a rectangle is the multiplication of the length and the width of the rectangle.

The area of the rectangle is expressed as:

Area (A) = length (L) × width (w)

A = l × w

Given that:

width = xLength = 2x - 7Area = 72 in ²

72 = (2x - 7) × (x)

72 = 2x² - 7x

2x² - 7x - 72 = 0

Using the quadratic calculator

x = 8 or x = -9/2

However, since our length/width distance can't be negative, then:

x = 8

width = 8 inchesLength = 2(8) - 7 = 9 inches

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What it the measure of CD?

Answers

Answer:

B. 72°

Step-by-step explanation:

Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.

Then

The measure of arc CD = 2 × m∠DBC

= 2 × 36

= 72°

need help ASAP WILL GIVE BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

It opens upwards ( bowl shaped) (vertex is on one side and focus on other with focus inside the parabola)

axis of symmetry is x = -8

vertex is (-8,0)

What is the formula for a surface area of a rectangular prism?

Answers

Answer:

[tex]\boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]

Step-by-step explanation:

We know that the surface area is the sum of the area of the prism's faces.

It should be noted that the area of any face is equal to the area of its opposite face. Thus, we get the following equation for the surface area:

[tex]\implies\text{SA = 2(} \text{Area of rectangle}_{1} ) \ + \ \text{2}(\text{Area of rectangle}_{2} ) \ + \ \text{2}(\text{Area of rectangle}_{3} )[/tex]

A model has been drawn of the rectangular prism. (image)

Let the dimensions (length, width, and height) of the prism be known as L, B, and H respectively. Then, we get the following:

[tex]\implies \text{SA} = 2(\text{L} \times \text{W}) + 2(\text{L} \times \text{H}) + 2(\text{B} \times \text{H})[/tex]

[tex]\implies \boxed{\text{SA} = 2(\text{L} \text{W}) + 2(\text{L} \text{H}) + 2(\text{B} \text{H})}[/tex]

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Find the product. 526 x 9

Answers

Answer:

526 X 9= 4734 is the answer.

wat is 5x5 divede by 8 help plsss!!!!!!!!!!!!! (100) points!!!

Answers

Answer:

25/8 = 3.125

Step-by-step explanation:

Answer:

5 × 5 ÷ 8 = 3 ¹/₈

Step-by-step explanation:

Using the order of operations we need to work from left to right.

Therefore we should carry out the multiplication first.

5 × 5 means "5 lots of 5"

⇒ 5 × 5 = 5 + 5 + 5 + 5 + 5 = 25

Now we need to divide 25 by 8.

8 + 8 + 8 = 24

Therefore, 8 goes into 25 three times with a remainder of 1.

So, 5 × 5 ÷ 8 = 3 ¹/₈

Triangles ABC and DEF are congruent. Which of the following must be true?
A
Angles B and D are congruent.

B
Line segments AB and BC are congruent.

C
Line segments AB and DE are congruent.

D
Angles A, B, C, D, E and F are all congruent.

Answers

Answer: Line segments AB and DE are congruent.

Step-by-step explanation:

Given : Triangle ABC is congruent to triangle DEF .

We know that if two triangles are congruent then their corresponding sides and angles are congruent.

This property of congruent triangles are also known as CPCTC (corresponding parts of congruent triangles are congruent.)

Therefore,

m∠A=m∠D

m∠B=m∠E

m∠C=m∠F

AB=DE

BC=EF

AC=DF

From the given options the only right option is line segments AB and DE are congruent.

Answer:

Step-by-step explanation:

Answer: Line segments AB and DE are congruent.

Help me with this please

Answers

Answer: $5.00 is the range

Step-by-step explanation: Range is the largest number subtracted by the smallest, so $6 - $1 is $5.

Please help me!!!!!!!!

Answers

X+22+2x-13=180 degrees
3x + 9 =180
3x=171
X=57

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✟ Now let ✟➣Let these two parallel line be p and q➣ and angle "x + 22" be a➣ and angle "2x-13" be b