Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
Answer: $129
Step-by-step explanation: First, you round 2.75 up to 3 and then you multiply by 43. Boom, $129.
Answer: 20 cups of grape juice are needed for 8 cups of peach juice.
Step-by-step explanation:
5 times 4 is 20.
We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.
So, 20 cups of grape juice are needed for 8 cups of peach juice.
Hope this answer helps you out!
The first step in solving quadratic equations by finding square roots is; C:square root both sides to isolate x
<h3>How to solve quadratic equations?</h3>
To answer this question, we will take an example of a quadratic equation that we need to find the square root as;
x² = 36
Now, to get the roots which are the values of x, we will first have to take the square root of both sides to Isolate x. Thus;
√x² = √36
x = ±6
Read more about quadratic equations at; brainly.com/question/1214333
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