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2 years ago

Which of the following is a number that is used to describe how two random variables are related?

Mathematics

1 answer:

zubka84 [21]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the exact value by using a half angle identity.tan 75°

kramer

The trigonometric function is given as

$\tan 75^{\circ}$

Apply the half angle identity to find the value of tan 75 ,

$\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}$

Here,

$\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}$ $\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}$ $\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}$

Now rationalize the function.

$\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}$

Again simplify the trigonometric function,

$\tan 75^{\circ}=2+1.732=3.732$

Hence the answer is 3.732.

5 0

1 year ago

According to the official M&M website, 24% of the plain milk chocolate M&M’s produced by Mars Corporation are blue. Anni

Delicious77 [7]

Answer:

d. Both have the same chance because they are both random samples.

Step-by-step explanation:

Regardless of the size of the candy bag, there is no way to elaborate over 40% of blue m&ms when we don't even know how many are inside each bag. the 24% is based on the company production and it does not mean that a bigger or smaller bag will have an increase in blue m&m's.

8 0

2 years ago

What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form

weqwewe [10]

<em>Answer:</em>

Eight thousand eighty five, 8000 + 80 + 5

<em>Explanation:
</em>Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:

5 + 380 + 2700 + 5000

This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.

3 0

1 year ago

The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 5:2. If there are no additional butterflies at the

andrew-mc [135]

So we know if there are 5 groups/dozens of Monarch butterflies, there are 2 groups/dozens of Queen butterflies. In other words, there are 5 Monarch butterflies for every 2 Queen butterflies.

Then we can turn that into an equation.

$5x = m \\ \\ 2x =q \\ \\ 5x + 2x = m + q$
From the last equation we wrote we can see that the total number of butterflies in the farm is $7x$ .

When we compare the Queen butterflies to total butterflies, we get $\frac{q}{m + q} = \frac{2x}{5x + 2x} = \frac{2x}{7x} = \frac{2}{7}$

The ratio of Queen butterflies to total butterflies is 2:7.

7 0

2 years ago

Please help, my calculator isn't working and I need to go to the hospital soon. if possible could someone please give the answer

Goshia [24]

A) 500 ml
b) 8.5 km
c) 480 cm
d) 9000 g
e) 550 mm

4 0

2 years ago