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Alex777 [14]
3 years ago
5

You measure the weight of 49 backpacks, and find they have a mean weight of 67 ounces. Assume the population standard deviation

is 8.8 ounces?. Based on this, what is the maximal margin of error associated with a 94% confidence interval for the true population mean backpack weight.
Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer: 2.36

Step-by-step explanation:

The formula to find the margin of error is given by :-

E=z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha: 1-0.94=0.06

Critical value : z_{\alpha/2}=1.88   [Using standard normal distribution table]

Sample size : n=49

Standard deviation : 8.8 ounces

Then , the margin of error will be :-

E=(1.88)\dfrac{8.8}{\sqrt{49}}\\\\\Rightarrow\ E=2.36342857143\approx2.36

Hence, the margin of error associated with a 94% confidence interval for the true population mean backpack weight = 2.36

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The diameter of a cylinder is 3yd the height is 8yd
nalin [4]

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is V=\pi r^{2} h.

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

V=\pi 1.5^{2} 8

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

8 0
3 years ago
What is the slope intercept form of an equation that goes through (-3,-5) and slope is 3/7
svet-max [94.6K]

Answer:

Step-by-step explanation:

Point slope form: y−7=34(x−3)

Slope intercept form: y=34x+194..or..y=34x+434

Explanation:

Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.

Point slope formula

y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.

Substitute the given values into the formula.

7 0
3 years ago
What are RQS and TQS?
yaroslaw [1]

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155

8 0
3 years ago
Convert into metre 81Km 30 m​
aliya0001 [1]

Answer:81030m

Step-by-step explanation:1km=1000m, 81km=81000+30=81030m

5 0
3 years ago
In Exercises 3 and 4, find the values of x and y <br> plz help!!!
jonny [76]

Answer:

x = 20°

y = 30

Step-by-step explanation:

The triangle given on close inspection, it is an equilateral triangle.

Each angle in an equilateral triangle is equal. Likewise, each side is equal.

Thus;

16 + y = 46

y = 46 - 16

y = 30

The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.

Thus, the smaller angle there is;

180 - (80 + 60) = 40°

Because sum of angles in a triangle is 180°

Now, x + 40 = 60°

Since that's also an angle of an equilateral triangle.

x = 60 - 40

x = 20°

8 0
3 years ago
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