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(SAT Prep) Find the value of x in each of the following exercises:
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Answer:

P(6) = 5

Step-by-step explanation:

The dice is cast 30 times (k = 30)

So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning

5 x 1

5 x 2

5 x 3

5 x 4

5 x 5

5 x 6

____ +

30 casts in total (evenly distributed over all numbers of the dice)

P(6) = 1/6 * 30

P(6) = 5

Answer:

The area of the original piece is (2)(5/4)

A cut along the diagonal makes to equal pieces.

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

If you want to learn more about surface areas:

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Answer:

A.) 1/8 Inches

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Area for a trapezoid is A=(a+b/2)h

A = ((4 + 10)/2)

A = (7)*h

A = 7*7

A = 49

Answer:

96

Step-by-step explanation:

3 x 4= 12

3 x 7=21

21

x 4

___

84

+12

___

96

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Answer:

60ft^2

Step-by-step explanation:

60% of 10 is 6 and LxW is 10x6 so the area is 60 feet

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Answer:

i think its a

Step-by-step explanation:

Answer:    40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70

Step-by-step explanation: Keeps repeating

Answer:

Please see attached image of a box plot.

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Answer:

1

Step-by-step explanation:

Total number of portions = 10

unshaded portion= 5

number of even numbers =

probability of unshaded portion = 5/10 = 1/2

probability of even number = 5/10 = 1/2

Probability of landing on unshaded or even portion= probability of landing on unshaded portion + probability of landing on even number = 1/2 + 1/2 = 1

Answer:   13 units

Step-by-step explanation:

If you raise a cube root of -2 to the third power, the resulting number will have a congruent argument. We have

-2 = 2(cos 180º + i sin 180º)

Pick a number from the 4 given options, and raise it to the third power using DeMoivre's theorem. For example,

[tex]\left(\sqrt[3]{2}\left(\cos90^\circ+i\sin90^\circ\right)\right)^3=2\left(\cos(3\cdot90^\circ)+i\sin(3\cdot90^\circ)\right)=2(\cos270^\circ+i\sin270^\circ)=-2i[/tex]

so the first option is not a cube root of -2 because the argument 270º is not congruent to 180º. Similarly, the second and fourth options are also not cube roots of -2.

On the other hand,

[tex]\left(\sqrt[3]{2}(\cos60^\circ+i\sin60^\circ)\right)^3=2(\cos180^\circ+i\sin180^\circ)[/tex]

so the third option is a cube root of -2.

Answer:

your answer is D (6.72)

Step-by-step explanation:

substitute x by 4

y = 2.76(4) - 4.4

y = 11.12 - 4.4

y = 6.72

Therefore the option D (6.72) is the correct answer

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Answer:

After 6 seconds, the ball will hit the ground.

Step-by-step explanation:

f(x)=-x^2 + 4x + 12

Since we want to see when it touches the ground, the height must be equal to 0, so f(x) has to equal 0.

0=-x^2 + 4x + 12

If you factor this equation, you'd get:

(-x + 6)(x + 2) = 0

We get the 2 and the 6 from the factors of 12. The two factors of 12 have to be able to add or subtract into 4, and in this case, 6-2 is 4. (If you multiply this equation out, you'd get the same one you started with)

Since we need it to equal 0, the way to multiple to 0 is to have a zero itself. This means that either (-x+6) is equal to 0 or (x+2) is equal to 0. The only x values that satisfy this is 6 and -2. You can't have -2 seconds after, so it has to be 6.

Hope that helps.

Answer:

C = 48.9

Step-by-step explanation:

C= 5F-160 /9

C= (5F -160)/ 9

Put F =120

C = (5(120) - 160)/9

C= (600 - 160)/9

C = 440/9

C = 48.89≈ 48.9

Answer:

B) [tex]3^{4} \neq 243[/tex]

Step-by-step explanation:

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

Answer:

m<2 is 66 and m<1 is 114

Step-by-step explanation:

add the given angles together, that is the outaide angle. then subtract that from 180 and you get angle 2

Answer:

14

Step-by-step explanation:

Because 14-6= 8 and then 14+8= 22

Answer:

494cm2

Step-by-step explanation:

Área = (base × height)/2

Área=(38×26)/2=988/2=494cm²

Answer:

0.555 in

Step-by-step explanation:

The first thing we must do is calculate the volume of the machine, the volume of a wait is:

v = (4/3) * pi * (r ^ 3)

we know that the diameter is twice the radius, therefore:

r = d / 2 = 20/2

r = 10, replacing:

v = (4/3) * 3.14 * (10 ^ 3)

v = 4186.66 in ^ 3

Now, we know that by leaving 40% of space in the machine there are 3,500 chewing gums, therefore, 60% of that volume is chewing gum.

4186.66 * 0.6 = 2512

to calculate the volume of a chewing gum:

3500 * v = 2512

v = 2512/3500

v = 0.7177 in ^ 2 is the volume of a single chewing gum

if we solve the sphere formula for r, we are left with:

r ^ 3 = v * (3/4) / pi

replacing

r ^ 3 = 0.7177 * (3/4) /3.14

r ^ 3 = 0.1714

r = 0.1714 ^ (1/3)

r = 0.555

the radius of each gum is 0.555 in

Answer:

Step-by-step explanation:

Hypotenuse^2=4^2+10^2=16+100

Hypotenuse^2=116

Hypotenuse=square root of 116

units

The length of the hypotenuse is √116.

Option D is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Hypotenuse = H

Applying the Pythagorean theorem.

H² = 4² + 10²

H² = 16 + 100

H² = 116

H = √116

Thus,

The length of the hypotenuse is √116.

Learn more about the Pythagorean theorem here:

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Answer:

He should expect to land on it 12 times

Step-by-step explanation:

He got an even number 30 times out of 50 rolls. So that is 30/50 or 3/5, you then multiply 20 by 3/5 giving you 12

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.