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2 years ago

1. There are 21 boys and 28 girls in the running club. What is the ratio of girls to boys?

Mathematics

2 answers:

vodomira [7]2 years ago

5 0

Answer:

The answer would be 4:3

Step-by-step explanation:

Although 28:21 would've been a good choice, 4:3 is simplified. You divide both numbers by seven to get the simplified ratio, since 28 and 21 are are both divisible by 7.

I hope this helps :)

Vikki [24]2 years ago

4 0

Step-by-step explanation:

28:21

4:3 ratio

Hope it helps ya

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A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable

Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = $1-0.44 = 0.56$

P(B) = $1-0.57 = 0.43$

P(AUB) = 0.68 =

$0.56+0.43-P(A\bigcap B)\\P(A\bigcap B)=0.30$

a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30

b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates

= P(A)-P(AB)+P(B)-P(AB)

$=0.99-0.30-0.30\\=0.39$

c) the probability that a randomly selected voter has an unfavorable view of at least one of these candidates

=P(A'UB') = P(AB)'

= $1-0.30\\=0.70$

3 0

3 years ago

The Kendal Company manufactures automobile engine parts. Running the manufacturing operations requires 12 watts (units of electr

Monica [59]

24 because when you plug in 0 for both x and y:

0=12(0)+24

12*0=0, leaving you with 24.

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3 years ago

Chloe is packing up her room to move to a new city. Together, all the books on her bookshelf weigh 85 pounds. She wants to divid

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She will need 25 pounds 4 ounces in each box

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2 years ago

The refreshment stand for the school play needs to make $330.They sell drinks for $1.50 and snacks for $2.50.If they sell 45 dri

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Answer:

105 snacks

Step-by-step explanation:

$330=45 drinks at $1.50 and x snacks at $2.50.

330=45(1.50)+2.50x

330=67.5+2.5x

2.5x=262.5

x=105 snacks

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3 years ago

I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i

Anna [14]

We know that the law of sines states that:

$\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}$

For simplicity, let:

$\beta=m\angle A_1BC$

In triangle A1BC this leads to:

$\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}$

Therefore:

$m\angle A_1BC=38.174$

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:

$m\angle CA_2B=180-38.174=141.826$

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1 year ago