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Soloha48 [4]
2 years ago
5

Solve the equation 4 sin (x +30°) = 2for 0 < x < 365​

Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

>

4 \sin(x + 30)  = 2 \\  \sin(x + 30 ) =  \frac{2}{4}   \\  \sin(x + 30)  =  \frac{1}{2}  \\  \sin(x + 30)  =  \sin(30)  \\ x + 30 = 30 \\ x = 30 - 30 \\ x = 0

Hence, x = 0°, 180° and 360° <em><u>Ans</u></em>

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Sum of $12000 from a financing company for 3 years at 15% per annum. What is the total interest he paid in 3 years
Dahasolnce [82]
So there are many factors to this, but lets assume the basics:

-He made equal payments every month for 36 months

assuming that is true, the answer is $2,975.42

Assuming that is NOT true and he made NO monthly payments at all and at the end paid the entire balance, the interest would be $6,250.50 
7 0
3 years ago
Read 2 more answers
Write an expression that is equivalent to
finlep [7]

Answer:

15/2r - 40; Distributive Property

Step-by-step explanation:

You can use the Distributive Property to multiply the 5 across the expression in the parentheses.

5(3/2r - 8)

5 × 3/2r = 15/2r

5 × -8 = -40

Combine.

15/2r - 40

Hope this helps!

5 0
2 years ago
Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more
DIA [1.3K]

Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

5 0
3 years ago
Your friend's Iphone contains 84 pictures and videos. There are three times as many photos as videos. How many videos are there
likoan [24]

Answer:

252

Step-by-step explanation:

If there are 3* as many photos as videos then, multiply 3 * 84, to get 252

6 0
3 years ago
Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Ano
BabaBlast [244]
the answer is 27 students
4 0
3 years ago
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