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3 years ago

There are 32 female performers in a dance recital.The ratio of men to women is 3:8.How many men are in the dance recital?

Mathematics

2 answers:

natita [175]3 years ago

4 0

Answer:12

Step-by-step explanation:32 divided by 8= 4 so then, 4x3 = 12 men in total

Juliette [100K]3 years ago

4 0

Yes the answer is 12. If there are a total of x performers and y is the number of males, then the equation is 8k = 32 where k is an element of the natural numbers. That means that the ratio has to be multiplied by 4 to get the numbernof males. In this case it was 3 so 3×4=12.

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1.
C) conditional; hypothesis; conclusion.
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3 years ago

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8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.

NNADVOKAT [17]

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

$-2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37$

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3 years ago

25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of

sergeinik [125]

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

$P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028$

b) Probability that exactly 2 has only cats (p=0.15)

$P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759$

c) Probability that exactly 1 has cats and dogs (p=0.1)

$P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742$

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

$P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508$

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3 years ago

The value of y varies directly with x and y=12 when x=-6 find y when x=-4

FinnZ [79.3K]

Answer:

B)8

Step-by-step explanation:

That is the right answer because when y=12, x=-6

12/-6 = -2

This means that x = y/-2

or y = x * -2

-4 * -2 = 8

Hope I helped

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3 years ago

What is the value of d? Round your answer to the nearest tenth.

Sergeeva-Olga [200]

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d² = 21² + 27² - 2(21)(27) cos (25)

d² = 441 + 729 - 1027.75

d² = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

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3 years ago