The area of a parallelogram is 72 inches. what is the height?

6/5 ÷ ____ = 6 A. 1/5 B. 30 C. 1/30 D. 5

murzikaleks [220]

Answer:

A. $\displaystyle \frac{1}{5}$

Step-by-step explanation:

$\displaystyle \frac{6}{5} \div \frac{1}{5} = 6 \\ \\ OR \\ \\ \frac{6}{5} \div 6 = \frac{1}{5}$

I am joyous to assist you anytime.

4 0

3 years ago

A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit

Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

62% of the voters are Democrats

This means that $p = 0.62$

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844$

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0

2 years ago

Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She ne

Vadim26 [7]

Answer:

85.9 m

Step-by-step explanation:

The law of sines can help figure this.

The remaining angle in the triangle is ...

180° -75° -68° = 37°

This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...

b/sin(B) = c/sin(C)

b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters

The surveyor is about 85.9 meters from the second marker.

4 0

2 years ago

Can anyone math experts help and guide me through these questions❓

Lubov Fominskaja [6]

Step-by-step explanation:

The volume of a cube is

$a {}^{3}$

where a is the side length,

Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally

The area of a square with side length a, is

${a}^{2}$

If we multiply that by the height of the cube, which is a.

${a}^{2} \times a = {a}^{3}$

That is the easy way to derive the formula of the volume of a cube.

Back on track, we know the volume so we must solve for a.

1.

$125 = {a}^{3}$

Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.

To do this, we take the cube root of both sides

$\sqrt[3]{125} = \sqrt[3]{a {}^{3} }$

The cube root of 125 is 5 so

$5 = a$

5 cm

2.

$8 = {a}^{3}$

$\sqrt[3]{8} = \sqrt[3]{ {a}^{3} }$

$2 = a$

2 ft

3.

$343 = {a}^{3}$

$a = 7$

7 yd

4.

$1000 = a {}^{3}$

$10 = a$

10 mm

5.

$1728 = {a}^{3}$

$a = 12$

12 in. or 1 ft

6.

$1 = {a}^{3}$

$a = 1$

1 m

4 0

1 year ago

Read 2 more answers

Which number has a 3 that 10 times greater than the 3 in 513?

cestrela7 [59]

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30

3 0

2 years ago