Identify the imaginary part of the number. 5 A)5i B)5 C)0 D)1 E)I

How many place values follow the decimal point in the problem below? 2.01 x 4.1

MakcuM [25]

Answer:

3

Step-by-step explanation:

There are 3 digits behind the decimal all together

8 0

3 years ago

Read 2 more answers

Polygon y is a scaled copy of polygon x using a scal factor of 1/3. Polygon y area is what fraction of polygon x area

Ksenya-84 [330]

9514 1404 393

Answer:

1/9

Step-by-step explanation:

The ratio of areas is the square of the scale factor for linear dimensions.

Area(y)/Area(x) = (1/3)^2 = 1/9

4 0

3 years ago

(problem 6.13 page 97) Consider a population in which 80% of males and 60% of females are employed. In this population, 55% of i

svp [43]

Answer:

There is a 50.77% probability that no more than one of those chosen is not employed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will be employed, or they will not. 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.

We have these following percentages:

55% of the individuals are female.

So 45% of the individuals are male.

80% of males are employed. So 20% of males are unemployed.

60% of females are employed. So 40% of females are unemployed.

If I pick five persons at random from this population, what is the probability that no more than one of those chosen is not employed?

Using the binomial distribution, p is the probability that a person is unemployed. 40% of the females and 20% of the males are unemployed. The population is 55% females and 45% males. So

$p = 0.4*0.55 + 0.2*0.45 = 0.31$

There are five persons, so $n = 5$

What is the probability that no more than one of those chosen is not employed?

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{5,0}.(0.31)^{0}.(0.69)^{5} = 0.1564$

$P(X = 1) = C_{5,1}.(0.31)^{1}.(0.69)^{4} = 0.3513$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1564 + 0.3513 = 0.5077$

There is a 50.77% probability that no more than one of those chosen is not employed.

7 0

3 years ago

A can of tuna is shaped like a cylinder. Find its volume to the nearest tenth Use 3.14 for n

Leviafan [203]

The formula for the volume of a cylinder is V=pi*r^2*h
Since the diameter is 6.8, the radius must be 3.4 (6.8/2)
We can then plug in the given values to solve for the volume
V=3.14*3.4^2*4
V=3.14*11.56*4
V=145.2 so B

Hope this helps

8 0

4 years ago

-7- 2x² - 6 = −2x² + 1 First Step: 13- 2x² = 2x² + 1 What property is this

lorasvet [3.4K]

Answer:

Combine like terms, although the provided answer is missing a "-" sign in front of the "13."

Step-by-step explanation:

Combine like terms. The -7 and -6 can be added to produce -13.

The correct result is -13 - 2x^2 = -2x^2 + 1 [Not _13- 2x² = _2x² + 1

Perhpas the initial equation is written incorrectly(?)

8 0

2 years ago