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LekaFEV [45]
3 years ago
12

You measure 49 textbooks' weights, and find they have a mean weight of 54 ounces. Assume the population standard deviation is 11

.7 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Use z = 2 for calculations
Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

= ( 50.66, 57.34)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 54 ounces

Standard deviation r = 11.7 ounces

Number of samples n = 49

Confidence interval = 95%

z(at 95% confidence) = 2

Substituting the values we have;

54+/-2(11.7/√49)

54+/-2(1.671428571428)

54+/-3.342857142857

54+/-3.34

= ( 50.66, 57.34)

Therefore, the 95% confidence interval (a,b)

= ( 50.66, 57.34)

Thanks

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Ede4ka [16]

Answer:

The answer is below

Step-by-step explanation:

From the image, we can see that DC is parallel to AB.

Step 1:

Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.

Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.

Step 2:

DB ≅ BD (reflexive property of congruence)

Step 3:

∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:

Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.

Step 4:

BD = DB, angles CDB and ABD  are congruent, angle ADB and CBD are congruent.

Therefore,  By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .

4 0
3 years ago
Find the derivative of f(x)= e^(4x) + e^-(4x)
ololo11 [35]

Answer:

f'(x)=4e^{4x} -4e^{-4x}

Step-by-step explanation:

To find this derivative, we will need to use the chain rule.

As there is a variable in the exponent we can use this formula:

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In this case, u=4x and u=-4x

This means that u'=4 and u'=-4 respectively

This gives us f'(x)=4e^{4x} -4e^{-4x}

4 0
2 years ago
Read 2 more answers
Please solve for me!!
kifflom [539]

Answer:

8:30 PM

Step-by-step explanation:

Let's say that x is minutes since 6:20 PM, and y is position in miles.

Since Jonathan drives at a constant rate, the position vs time graph is linear.  Two points on the line are (0, 75) and (20, 85).  The slope of the line is:

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m = (85 − 75) / (20 − 0)

m = ½

So the equation of the line is:

y = ½ x + 75

We want to find x when y is 140.

140 = ½ x + 75

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x = 130

So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles.  130 minutes is 2 hours and 10 minutes.  So the time will be 8:30 PM.

3 0
3 years ago
How many percent of 70 is 68?
ANEK [815]
So percent is parts out of 100 so x%=x/100

68/70
divide totaly
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Answer:

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