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pishuonlain [190]

2 years ago

6

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four

comedies. Which statement is true? The probability that Christina will choose three comedies can be expressed as StartFraction 1 Over 4 C 3 EndFraction. The probability that Christina will choose three action movies can be expressed as StartFraction 20 C 3 Over 9 C 3 EndFraction. The probability that Christina will not choose all comedies can be expressed as 1 − StartFraction 4 C 3 Over 20 C 4 EndFraction. The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.

1 answer:

zmey [24]2 years ago

7 0

Answer:

The answer is <u>D</u>

Step-by-step explanation:

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On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) a

dimulka [17.4K]

Answer:

$\dfrac{1}{3}$ .

Step-by-step explanation:

In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).

In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula , we get

$QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6$

$Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2$

Now,

$\text{Scale factor}=\dfrac{Q'R'}{QR}$

$\text{Scale factor}=\dfrac{2}{6}$

$\text{Scale factor}=\dfrac{1}{3}$

Therefore the scale factor is $\dfrac{1}{3}$ .

5 0

2 years ago

Read 2 more answers

What is the median of these numbers 2.4,2.8,2.3,2.9,2.9

liberstina [14]

Answer:

2.8

Step-by-step explanation:

x2.3, x2.4, 2.8, x2.9, x2.9

4 0

1 year ago

Alliance Cannery has two assembly lines. One produces 24 cans of fruit per minute; the other produces 64 cans of vegetables per

sergey [27]

Let
x----------------------- > number of <span>cans of fruit-----------------> 24 per minute
</span>y----------------------- > number of cans of vegetables-------> 64 per minute
<span>z----------------------- > number of cans of food per minute
t----------------------- > time in minutes

z=(x+y)*t
z=(24+64)*t--------------- > 88t
z=88t---------------------------------- > this is the equation required
we know that z=384
then
</span>384=88t------------- > t=4.36 minutes

5 0

2 years ago

Read 2 more answers

Hank bought 3 more boxes of cereal than gallons of milk. He bought x boxes of cereal at $2.79 each. Each

Over [174]

Answer:

true

Step-by-step explanation:

8 0

2 years ago

In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?

JulsSmile [24]

Answer:

$N = 6$ so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that $n = 154N38$ , then its sum of digits is:

$x = 1 + 5+4+N+3+8$

$x = 21+N$ (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

$x = 21+0$

$x = 21$ ( $3\times 7 = 21$ )

N = 3

$x = 21+3$

$x = 24$ ( $3\times 8 = 24$ )

N = 6

$x = 21+6$

$x = 27$ ( $3\times 9 = 27$ )

N = 9

$x = 21+9$

$x = 30$ ( $3\times 10 = 30$ )

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

$154038 = 2\times 3\times 25673$

$154338 =2\times 3\times 29 \times 887$

$154638 = 2\times 3\times 3\times 11\times 11\times 71$

$154938 = 2\times 3\times 7\times 7\times 17\times 31$

It is quite evident that $N = 6$ so that number becomes divisible by 3, 6 and 9.

6 0

2 years ago