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3 years ago

Find the reference angle given: t= -7π/4.

Mathematics

2 answers:

Bas_tet [7]3 years ago

8 0

Answer: B

Step-by-step explanation: CONVERT TO DEGREE MEASURE

MULTIPLY BY 180

SIMPLIFY THE EXPRESSION -315

inn [45]3 years ago

6 0

Answer:

The reference angle is π/4.

Step-by-step explanation:

The angle -8π/4 (= -2π) corresponds to 1 revolution counter clockwise around the circle from 0 . So -7π/4 corresponds to 1/8 of a revolution less which corresponds to the angle π/4.

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(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei

yaroslaw [1]

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

= 40% + 30% - 15 %

= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

6 0

3 years ago

(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course.

Aneli [31]

Answer:

Smallest: 15,840 ft

Largest: 16,896 ft

Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the <u>smallest</u>:

$\frac{1mi}{5,280ft} =\frac{3mi}{xft}$

Do butterfly method and you should get this:

$xft=3(5280)\\x=15,840ft$

Setup proportion to solve for the <u>largest</u>:

$\frac{1mi}{5,280ft} =\frac{3.2mi}{xft}$

Butterfly method:

$xft=3.2(5280)\\x=16,896ft$

4 0

3 years ago

Identify a horizontal or vertical stretch or compression of the function f(x) = x

Gennadij [26K]

Answer:

It is not horizontal nor vertical, but it is stretched by 6

Step-by-step explanation:

3 0

4 years ago

Marie is getting married tomorrow, at an outdoor ceremony in the desert. In recent years, it has rained only 5 days each year. U

kogti [31]

Answer:

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Forecast of rain.

Event B: Raining.

In recent years, it has rained only 5 days each year.

A year has 365 days. So

$P(B) = \frac{5}{365} = 0.0137$

When it actually rains, the weatherman correctly forecasts rain 90% of the time.

This means that $P(A|B) = 0.9$

Probability of forecast of rain:

90% of 0.0137(forecast and rains)

10% of 1 - 0.0137 = 0.9863(forecast, but does not rain)

$P(A) = 0.0137*0.9 + 0.9863*0.1 = 0.11096$

What is the probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

$P(B|A) = \frac{0.0137*0.9}{0.11096} = 0.1111$

11.11% probability that it will rain on the day of Marie's wedding, given the weatherman forecasts rain

3 0

3 years ago

Evaluate 11+(−7*7)−9.

Butoxors [25]

Answer:

-47

Step-by-step explanation: Remember p.e.m.d.a.s

so start with (-7*7) = -49

then add so 11 + -49 = -38

then subtract so -38 - 9 = -47

6 0

4 years ago