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3 years ago

Find the area of a parallelogram with vertices at P(–8, –3), Q (–7, 3), R(–9, 3), and S(–10, –3).

Mathematics

1 answer:

pentagon [3]3 years ago

7 0

Check the picture below.

you can pretty much get the base and height right off the grid.

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

5 0

3 years ago

Helppp how do u do 12

Delicious77 [7]

B is the correct answer

$\frac{x}{100} = \frac{53}{106} \\ x = \frac{53 \times 100}{106} = \frac{5300}{106} = 50$

good luck

4 0

3 years ago

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(NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find n

vladimir2022 [97]

Answer: The answer is "experiment."

Step-by-step explanation:

This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase reading comprehension or not.

The experiment consists of independent, dependent, and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.

The dependent variable above is reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.

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3 years ago

Fie ∆ABC dreptunghic,m(unghiului B)=90°.Punctul M este mijlocul ipotenuzei.Stiind ca m(unghiului A)=30°si MC =3,2cm.Aflati perim

babymother [125]

Answer:

Step-by-step explanation:

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3 years ago

Which expression is equivalent to 2(9 + 7)? (1 point) Select one: a. 18 + 14 b. 18 + 7 c. 11 + 9 d. 11 + 7

Rom4ik [11]

2(9 + 7) = 2*9 + 2*7 = 18 + 14

So it is a.

7 0

3 years ago

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