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Artemon [7]
3 years ago
5

Prove that: tan20+4sin20 =\sqrt{3}

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

the answer is 24

Step-by-step explanation:

applyourknowledge

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Roenfeld Corp believes the following probability distribution exists for its stock. What is the coefficient of variation on the
jok3333 [9.3K]

Complete question is attached;

Answer:

Option D: 0.3069

Step-by-step explanation:

Formula for coefficient of variation on the company's stock is;

CV = σ/E(r)

Where σ is the standard deviation and E(r) is expected value of return.

From the attached image, we can find E(r) as;

E(r) = 0.45(25) + 0.5(15) + 0.05(5)

E(r) = 19%

From online calculation, the standard deviation is 5.83%

Thus;

CV = 5.831/19

CV ≈ 0.3069

8 0
3 years ago
When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t
zloy xaker [14]

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

3 0
3 years ago
8 t-shirts and a hat costs £42 3 t-shirts and a hat costs £17 how much does the hat and t shirt cost
cestrela7 [59]
17 + 5shirts = 42
5shirts = 42-17 = 25
1shirt = 25/5 = 5

A shirt costs £5.

3*5 + 1hat = 17
15 + 1hat = 17
1hat = 2

A hat costs £2
7 0
3 years ago
You randomly draw a marble out of a bag that contains 202020 total marbles. 121212 of the marbles in the bag are blue. What is \
Vitek1552 [10]

Answer:

<h2>0.60</h2>

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

8 0
3 years ago
HELP ME PLZ I NEED HELP
german

Answer:

A

Step-by-step explanation:

\frac{12}{a} = \frac{9}{b} => 12b = 9a

12 * 1.5 = 9 * 2

18 = 18

This option works

5 0
3 years ago
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