The random numbers below represent 10 trials of a simulation.

2632, 1365, 9367, 2056, 0026,
6564, 1434, 8045, 4781, 8681

The numbers 0–7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched television last night?

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Answer:

P (6 , -3)

Step-by-step explanation:

point P : (6 , -3)

Answer:

1a) opens down

b) don't know because equation has two equal signs

c) don't know because equation has two equal signs

2a) opens up

b) (-4, -13)

c) x = -4

3a) opens down

b) (14, 17)

c) x = 14

Step-by-step explanation:

Answer:

Depends on what numbers are there.

Step-by-step explanation:

If the numbers are 0-10 then there is a 50% chance of the spinner stopping on an even number because there is 5 even numbers and 5 uneven numbers.

The probability of the spinner stopping on an even number will be equal to 5/10.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

Probability = 5/10

Therefore, The probability of the spinner stopping on an even number = 5/10

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Complete question:

Answer:

1024

Step-by-step explanation:

yeah it's 1024 lol

Answer:

4^5 = 1024

Step-by-step explanation:

Write down the # on the left (4) by the # of times on the left (5)

So it would be: 4x4x4x4x4 = ?

You can cut this problem into pieces.

1. 4x4 = 16

2. 4x4 = 16      

3. 16x16 = 256 (use standard multiplication method)

4. 256 x 4 = 1024

I hope this helps:)

Answer:

8 and 19

Step-by-step explanation:

To some this, let's first list all the factors of 152. They are;

1, 2, 4, 8, 19, 38, 76, 152.

Now, let's arrange them to reflect being multiplied to get 152.

Thus;

1 × 152 = 152

2 × 76 = 152

4 × 38 = 152

8 × 19 = 152

Also, let's do the same for their sum;

1 + 152 = 153

2 + 76 = 78

4 + 38 = 42

8 + 19 = 27

Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19

Answer: 7/5

Step-by-step explanation:

Answer:

Both are opposite rays

Step-by-step explanation:

[tex] \overrightarrow {OP} [/tex] and [tex] \overrightarrow {PO} [/tex] are two opposite rays, because their directions are different.

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

Answer:

[tex]18in^{2}[/tex]

Step-by-step explanation:

[tex]A=2*2+7*2=18in^{2}[/tex]

Answer:

-3

-2.5

-2

-9/8

-1

-1/4

0

1/4

1

9/8

2

8/3

2.5

3

Answer:

....................

Answer:

equation could represent the total cost (y), in dollars, for x teacher ... first 3 days she takes care of a dog and $25 for each day thereafter..... An amusement park has a group rate.

Answer:

c=175n

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

135 divided by 15 and u got ur answer

Answer:

$4.00

Step-by-step explanation:

0.80 x $20=16

$20-$16=$4.00

Answer:

yes

Step-by-step explanation:

it was just rotated not dilated

The area of triangle ΔEFG changes after rotation and dilation.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Suppose the scale factor is k for the dilation of triangle.

Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.

Area of triangle ΔEFG = 1/2 × b × h

Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)

Thus, the area becomes k² times.

Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.

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Answer:

8d+12-6d+10

2d+22

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Since the triangles are congruent then AB ≡ DE , that is

DE = AB

5x - 4 = 2x - 1 ( subtract 2x from both sides )

3x - 4 = - 1 ( add 4 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Answer:

nolo se

Step-by-step explanation:

Respuesta: el deberá $8.43 de interés en un mes.

Explicación paso a paso:

Regla de 3

$562 -- 100%

x --- 18%

x = 101.16

$101.16 es la cantidad de intereses que deberá en un año, pero ¿en un mes?

Para saberlo solo lo dividimos entre la cantidad de meses en un año (12)

101.16 ÷ 12 = 8.43

Yes, the triangles are similar to each other by AA rule and EF = 8.

When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.

Given are the triangles, Δ ABC and Δ DEF,

In Δ ABC,

∠A + ∠B + ∠C = 180°

∠B = 180°- (60°+20°)

∠B = 100°

In Δ DEF,

∠D + ∠E + ∠F = 180°

∠F = 180° - (60°+100°)

∠F = 20°

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

We see, all the corresponding angles are congruent.

Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,

And,

AB/DE = BC/EF = AC/DF = 3/4

BC/EF = 3/4

6/EF = 3/4

EF = 8

Hence, the triangles are similar to each other by AA rule and EF = 8.

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Answer:

282828

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.

Answer:

122.50

380.80

Step-by-step explanation:

that's both answers have fun go play

Answer:

A. $122.5

B. $340.8

Step-by-step explanation:

A. $24.50 × 5 weeks = $122.5

- He only deposited one time each week so take the amount he puts in every week and multiply it by the amount of times he did it which is 5

B. $85.20 × 4 = $340.8

- 4 friends get the same amount of money just multiply that money amount they earned by all of them which is 4.

Answer:

60 cm^2

Step-by-step explanation:

Answer:

48 cm^2

Step-by-step explanation:

Surface area of a prism is just the sum total of each individual shape's area.

SA = [(3 * 4) + (3 * 3) + (3 * 5) + (1/2 * 3 * 4) + (1/2 * 3 * 4)] cm^2

((Area of rectangle/square is base times height.

Area of triangle is one-half times base times height.))

Answer:

The number of girls is at most 9 girls

y ≤ 9

Step-by-step explanation:

The chess clubcab have at most 36 members.

At most means : Less than or equal to 36 members and it is represented by the inequality = ≤

The are 3 times as many boys as girls in the chess club.

Boys = x

Girls = y

Hence,

x = 3y

Which inequality could be used to determine the possible number of girls, x, in the chess club?

Therefore,

x + y≤ 36

3y + y ≤ 36

4y ≤ 36

y ≤ 36/4

y ≤ 9

Girls = y

The number of girls is at most 9 girls