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3 years ago

A six-sided number cube is rolled twice.

Mathematics

1 answer:

Kitty [74]3 years ago

4 0

Answer:

1/6

Step-by-step explanation:

Probability is a chance of an event taking place.

Probability = (favorable outcome)/(total outcome)

There are 3 even sides in a dice.

P(even) = 3/6 = 1/2

There are 2 numbers that are greater than 4 in a dice.

P(x>4) = 2/6 = 1/3

P(even and x>4) = 1/2 × 1/3 = 1/6

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which has the greater volume: Prism with a length of 5 inches, a width of 4 inches, and a height of 10, or a prism with a length

GuDViN [60]

Since you have to multiple. L×W×H....

The first one has a volume of 400 and the second has a volume of 400...so both prisms have an equal volume but have a differnet shape

7 0

2 years ago

Which distance measures 7 units?

Rasek [7]

Answer:

the distance between points M and P

Step-by-step explanation:

-1+7=6

Hope this helps! :)

4 0

2 years ago

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

Read 2 more answers

If one root is the square of the other in the equation 8+mx+27x²=0,find the value of m

aleksklad [387]

Answer:

The value of $m$ is -30.

Step-by-step explanation:

Let $27\cdot x^{2}+m\cdot x +8 = 0$ , we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots: