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2 years ago

Which expression is equivalent to sin(2x) cosx

Mathematics

1 answer:

Vsevolod [243]2 years ago

7 0

Answer:

$2sin(x)cos^2(x)$

Step-by-step explanation:

To solve the problem, you must expand the trigonometric expression using the information given.

$sin(2x)cosx\\sin(2x)\\=2sin(x)\\=2sin(x)cos^2(x)$

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Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha

love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

$np \geq 10$ and $n(1-p) \geq 10$

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that $p = 0.089$

The bank has recently approved 220 loans.

This means that $n = 220$

What must be true to be able to approximate the sampling distribution with a normal model?

$np = 220*0.089 = 19.58 \geq 10$

$n(1-p) = 220*0.911 = 200.42 \geq 10$

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

3 0

3 years ago

Show all work to solve 3x^2 + 5x − 2 = 0

Ratling [72]

Answer:

x=1/3 or x=−2

if i can be brainliest that would be great

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x^2+5x−2+2=0+2

3x^2+5x=2

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x^2+5x/3=2/3

x^2+5/3x=2/3

Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.

Then we need to add (b/2)^2=25/36 to both sides to complete the square.

Add 25/36 to both sides.

x^2+5/3x+25/36=2/3+25/36

x^2+5/3x+25/36=49/36

Step 4: Factor left side.

(x+5/6)^2=49/36

Step 5: Take square root.

x+5/6=±√49/36

Step 6: Add (-5)/6 to both sides.

x+5/6+ −5/6=

−5/6±√49/36x=−5/6±√49/36x=

1/3 or x=−2

3 0

3 years ago

roshaun and lea go to an amusement park. lea spends 1/2 of her money, and roshaun spends 1/4 of his money. is it possible for ro

Olin [163]

Yes it is possible for Roshaun to spend more money than Lea because he could have had more money than her to start with making his fraction larger than hers.

3 0

3 years ago

X - 5(x + 1) = 3x + 2<br> answer , but show work pls.

Nitella [24]

Answer: x = -1

Step-by-step explanation:

Starting:

x-5(x+1)=3x+2

Simplify the left side:

-4x-5=3x+2

Move all the terms with an x to the left:

-7x-5=2

Move all the terms without an x to the right:

-7x=7

Divide both sides by -7:

x = -1

3 0

3 years ago

I can’t breathe out my nose rn

anastassius [24]

Answer:

breath out your mouth then

Step-by-step explanation:

5 0

3 years ago