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3 years ago

A machine fills 24-ounce (according to the label) boxes with cereal. The amount deposited

1 answer:

7 0

Answer: We do not know the mean  but we do know the standard deviation which is 0.25 ounces. The normal distribution plot below shows the shaded

region at approximately 5% of the area of the total Gaussian distribution.

From a Table we find that 5% is a z = -2.57 and so the mean must be 2.57

multiplied by 0.25 ounces = 3.57  0.25 = 0.643 ounces. The mean value

of box must be 0.643 ounces above the declared 24 ounces. Thus,

Mean value =  = 24.643 ounces

Step-by-step explanation:

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Mia had $40 dollars . Then she started to receive $5 dollars a week as an allowance. She plans to save all of her money for a bi

castortr0y [4]

Answer:

4,60

I am not sure but hope it helped!

3 0

2 years ago

Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t

Katarina [22]

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

$x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25$

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

6 0

2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

The product of two numbers is 1296. If one number is16 times the other, find the number.

Crazy boy [7]

Answer:

Step-by-step explanation:

divide 1296 by 16 to get the answer

product means ___ x ____ = product

since 16 is one of the numbers and 1296 is the product, it looks like this 16x___=1296

7 0

1 year ago

Read 2 more answers

If the formula pictured below is used to find the mean of the following sample, what is the value of N?

Pie

Answer:

Choice D). 8

Step-by-step explanation:

The value on n is simply the number of values or the size of the sample data. In our case, we have a total of 8 data values. The value of n will thus be 8

8 0

3 years ago

Read 2 more answers