Plz help ASAP I need help

MaRussiya [10]

To solve the problem you must find the area of every square. For F one of the squares has a side length of 3 and because this is a square the other sides are also 3. To find the area we multiply two of the sides so 3 times 3 is 9
You do this with both the other squares
3*3=9
4*4=16
The area of the large square is given as 25
So 9+16=25 which means this is not the correct answer

H.
9*9=81
Given as 144
The area of the large square is 21*21 which is 441
144+81= 225
So because the two small squares DO NOT equal the area of the large square this is the correct answer.

5 0

3 years ago

The mathematics department of a college has 7 male professors, 6 female professors, 12 male teaching assistants, and 7 female

Natalka [10]

Answer:

0.78125 or 78.125%

Step-by-step explanation:

Male professors = 7

Female professors = 6

Male T.A. = 12

Female T.A. = 7

Number of people in the department = 32

The probability that the selected person is a professor or a male is given by the probability that the person is a professor added to the probability that the person is a male, minus the probability that the person is a male professor:

$P( P\ or\ M) = P(P) +P(M) - P(P\ and\ M)\\P( P\ or\ M) =\frac{7+6}{32}+ \frac{7+12}{32}- \frac{7}{32} \\P( P\ or\ M) = 0.78125 = 78.125\%$

The probability is 0.78125 or 78.125%

6 0

3 years ago

Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.

miv72 [106K]

Answer:

The probability that exactly two of the four live in their own household and are income-qualified is = .0975

Step-by-step explanation:

Given -

Approximately 85% of persons age 70 to 84 live in their own household and are income-qualified for home purchases.

Probability of sucess ( p ) = 85% =.85

Probability of failure ( q ) = 1 - .85 =.15

n = 4

From combination of n events taking r sucess we use binomial distribution

$P(X = r) = \binom{n}{r}p^{r}q^{n-r}$

where , r = 2

the probability that exactly two of the four live in their own household and are income-qualified is =

$P(X = 2) = \binom{4}{2}0.85^{2}0.15^{4 - 2}$

= $\frac{4!}{(2!)(2!)} \times 0.7225 \times .0225$

= $6 \times 0.7225 \times .0225$

= .0975

4 0

3 years ago

What is 4 divided by 1/3 write in fractions

svp [43]

The answer is 12. This is the step by step

8 0

3 years ago

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Find the value of x in the diagram below. x =

padilas [110]

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are parallel.

As the parallel line segments are the same length, the other pair of opposite line segments are also parallel and the same length. Therefore, we can apply the Alternate Interior Angles Theorem.

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

7 0

1 year ago

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