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3 years ago

Which situation can be represented by the inequality 4x - 25_< 125

1 answer:

7 0

$4x-25 \leq 125 \\ \\ 4x \leq 125+25 \\\\4x \leq 150 \\ \\ x \leq \frac{150}{4} \\ \\x \leq 37.5 \\\\ \boxed{x=(-\alpha;37.5]}$

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What dose composite mean?

Sveta_85 [38]

Adjective: Made up of various parts or elements

5 0

3 years ago

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

Which is the graph of F(x)= (x+3)(x-2)

KonstantinChe [14]

Answer:

Vertex: (-1/2, -25/4)

Focus: (-1/2, -6)

Axis of Symmetry: x=-1/2

Directrix: y=-13/2

Step-by-step explanation:

x = -2, -1, -1/2, 1, 2

y = -4, -6, -25/4, -4, 0

4 0

3 years ago

Read 2 more answers

Please help me, I've been stuck on this problem forever and I need help! Please don't answer with something random to get points

vodomira [7]

1. given
2. measure angle 1 plus measure angle 2 equals 90 degrees
3. B D bisects angle A D C
4. definition of angle bisector
5. definition of congruence
6. measure angle 1 is equal to measure angle 3
7. angle 1 is congruent to angle 3
7. definition of congruence
hope that helps

8 0

3 years ago

What is 12/21 divided by 3/14

sladkih [1.3K]

To do this problem, you gotta cross-multiply. SO, $\frac{12}{21}$ multiplied by $\frac{14}{3}$

12 times 14 = 168
21 times 3 = 63
Then the final answer is $\frac{168}{3}$

5 0

3 years ago