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3 years ago

What is the measure of angle F? A. 75 B. 65 C. 55 D. cannot be determined

Mathematics

2 answers:

Natali5045456 [20]3 years ago

6 0

GH = FH

if G angle is 65 than F angle is also 65 being twin angles. Therefore H angle can only be 50 because in a triangle all angles combined must sum to 180 degrees!

The answer is B: 65

tresset_1 [31]3 years ago

4 0

twin sides stemming from a common vertex, make twin angles, since the HG = HF, then ∡G = ∡F.

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According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is

murzikaleks [220]

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

$P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598$

Student and woman developer.

7.4% of 25.8%(students), so

$P(A \cap B) = 0.074*0.258 = 0.019092$

If we encounter a woman developer, what is the probability that she is a student

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326$

0.0326 = 3.26% probability that she is a student.

5 0

3 years ago

4-(2y-1)=2(5y+9)+y please help quick

stich3 [128]

Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

y=−1

Answer: y =-1

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