The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per minute and a standard deviation of 6 beats per minute. Assuming a 90% confidence level, what is the margin of error for the population mean? 0.66 1.10 1.31 1.73

Answers

Answer 1

Answer: Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute

margin of error = z * δ / √n

where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.

90% confidence level = 1.645 in z-value

margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104

The margin of error is 1.10

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Rewrite this expression using the distributive property then simplify.
2/3(6x+12)

Answers

so distributive property of multiplication says
a(b+c)=(ab)+(ac)

so 2/3(6x+12)=((2/3)6x)+((2/3)12)=12/3x+24/3=4x+8=4(x+2)

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=12/3x+24/3

=4x+8

Solve for x. 3x/4+ 3 = 27 x = 32 x = 40 x = 42 x = 47.5

Answers

Hey there, first, we simplify, 3/4x+3=27, second, subtract 3 from both sides, 3/4x+3-3=27-3=3/4x=24, third, multiply both sides by 4/3, 4/3*3/4x=4/3*24=32. Therefore, x=32

Which properties belong to all isosceles triangles? Check all that apply. The base angles are congruent.
All three angles are congruent.
The two sides opposite the base angles are congruent.
All three sides are congruent.
The bisector of the vertex angle is the perpendicular bisector of the base.

Answers

The base angles are congruent.

The two sides opposite the base angles are congruent.

The bisector of the vertex angle is the perpendicular bisector of the base.

Answer:

1,3,5

Step-by-step explanation:

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