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2 years ago

In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

Mathematics

2 answers:

arlik [135]2 years ago

7 0

Answer:

Step-by-step explanation:

yyeet

ivann1987 [24]2 years ago

7 0

Answer:

Step-by-step explanation:

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Lazar drives to work every day and passes two independently operated traffic lights. The probability that both lights are green

Natalija [7]

Conditional probability is a measure of probability of an event given that another event has occurred.
P ( A\ B ) = P ( A ∩ B ) / P ( B ) - the conditional probability of A given B
P ( A ∩ B ) = 0.41; P ( B ) = 0.59
P ( A \ B ) = 0.41 / 0.59 = 0.6949152 ≈ 0.69
Answer: B ) 0.69

7 0

2 years ago

Read 2 more answers

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain.

Triss [41]

F(x) = 4x - 1
g(x) = 2x² + 3

1. (f + g)(x) = (4x - 1) + (2x² + 3)
(f + g)(x) = 2x² + 4x + (-1 + 3)
(f + g)(x) = 2x² + 4x + 2
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

2. (f - g)(x) = (4x + 1) - (2x² + 3)
  (f - g)(x) = 4x + 1 - 2x² - 3
(f - g)(x) = -2x² + 4x + 1 - 3
(f - g)(x) = -2x² + 4x - 2
Domain: {x|-∞ < x < ∞}, (-∞, ∞)
3. (g - f)(x) = (2x² + 3) - (4x - 1)
(g - f)(x) = 2x² + 3 - 4x + 1
(g - f)(x) = 2x² - 4x + 3 + 1
(g - f)(x) = 2x² - 4x + 4
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

4. (f · g)(x) = (4x + 1)(2x² + 3)
(f · g)(x) = 4x(2x² + 3) + 1(2x² + 3)
(f · g)(x) = 4x(2x²) + 4x(3) + 1(2x²) + 1(3)
(f · g)(x) = 8x³ + 12x + 2x² + 3
(f · g)(x) = 8x³ + 2x² + 12x + 3
Domain: {x| -∞ < x < ∞}, (-∞, ∞)

5. $(\frac{f}{g})(x) = \frac{4x - 1}{2x^{2} + 3}$
Domain: 2x² + 3 ≠ 0
- 3 - 3
2x² ≠ 0
2 2
  x² ≠ 0
x ≠ 0
(-∞, 0) ∨ (0, ∞)

6. $(\frac{g}{f})(x) = \frac{2x^{2} + 3}{4x - 1}$
Domain: 4x - 1 ≠ 0
+ 1 + 1
4x ≠ 0
4   4
x ≠ 0
  (-∞, 0) ∨ (0, ∞)

6 0

2 years ago

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201

S_A_V [24]

Answer:

The mean is 45.178

The standard deviation is 10.3325

Step-by-step explanation:

The mean is 45.178

The standard deviation is 10.3325

8 0

2 years ago

Read 2 more answers

The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employme

Anna35 [415]

Answer:

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

Step-by-step explanation:

The proportion is the number of desired outcomes divided by the number of total outcomes.

The percentage is the proportion multiplied by 100.

In this question:

210 employees with 8 of more year.

Of those, 64 have the email as their preferred method of communication.

64/210 = 0.3048

0.3048*100 = 30.48%

The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.

3 0

2 years ago

Read 2 more answers

You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen

frez [133]

The first thing I would do is write an expression for the amount the limo will cost in terms of the number of miles you drive. In this scenario, the cost=.15(mile)+700.
Now is the question, should the limo cost more or less than $750 to stay on budget? The answer is you should spend less than $750. Thus, when writing the inequality, or .15m+700<750. However, you could spend exactly $750 so you inequality should really be .15m+700≤750. Now you just need to solve this for the number of miles you can drive.

First, subtract 700 from both sides and you are left with .15m≤50
Then divide both sides by .15 and you are left with m ≤ 333.33. Thus, the limo can only travel 333.33 miles.
please make this the brainliest answer

5 0

2 years ago