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A machine is designed to fill 16-ounce bottes of shampoo. When the machine is working properly, the amount poured into the bottl

vlada-n [284]

Answer:

(D) 15.90 to 16.20 ounces

Step-by-step explanation:

Confidence Interval = mean + or - (t×sd)/√n

Mean = 16.05 ounces, sd = 0.1 ounce, n = 4, degree of freedom = n - 1 = 4 - 1 = 3, t = 3.182

Lower limit = 16.05 - (3.182×0.1)/√4 = 16.05 - 0.15 = 15.90 ounces

Upper limit = 16.05 + (3.182×0.1)/√4 = 16.05 + 0.15 = 16.20 ounces

The sample mean will fall from 15.90 to 16.20 ounces

7 0

3 years ago

The running back for the Bulldogs football team carried the ball 5 times for a total loss of 11 1/4 yards. Find the average chan

Firdavs [7]

Answer:

$\displaystyle 2\ \frac{1}{4}$

Step-by-step explanation:

<u>Fractions</u>

They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.

Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.

The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.

The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

$\displaystyle 11+\frac{1}{4}=\frac{45}{4}$

This improper fraction will now be divided by 5 to find the average of 5 runs:

$\displaystyle \frac{\frac{45}{4}}{5}=\frac{9}{4}$

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus

$\boxed{\displaystyle \frac{9}{4}=2\ \frac{1}{4}}$

6 0

3 years ago

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock

cluponka [151]

Let's call x = profit from the sweatshirt sales 1) A vendor pays to rock band 13% of the total profit from T-shirts and sweatshirts sold at every concert. 2) the profit from T-shirts sales was $ 1,632 3) The vendor paid the rock band $ 726 after the last concert We then have the following equation: 0.13 * (1632 + x) = 726 Clearing x: (1632 + x) = (726 / 0.13) x = (726 / 0.13) - 1632 = 3953 $ Answer: the profit from sweatshirt sales was 3953 $

5 0

3 years ago

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. How many 1/6 foot cubic boxes can she fit int

alexandr402 [8]

Answer: 28 cube boxes.

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

You need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.

The denominator does not change.

Then:

$1\ \frac{1}{6}=\frac{(1*6)+1}{6}=\frac{7}{6}$

Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:

$V_2=(\frac{7}{6}\ ft)(\frac{1}{3}\ ft)(\frac{1}{3}\ ft)=\frac{7}{54}\ ft^3$

Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

5 0

3 years ago

after buying a burger thet cost $5 roy had no more then $23 in his pocket how much money did roy have before buying the burger

viktelen [127]

He has 28 dollars now

3 0

3 years ago