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3 years ago

How much grain can this container hold?

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

953.78 in³

Step-by-step explanation:

Area of circle = πr²

The area of the base

= 3.14×(9÷2)²

= 63.585 in²

The capacity of the container

= 63.585×15

= 953.775 in³

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PLEASE HELP ASAP GIVING BRAINLIEST

Lady_Fox [76]

Answer:

Part 1) $y=32.5x+11.95$

Par 2) see the explanation

Part 3) $\$401.95$

Step-by-step explanation:

Part 1) Write an equation in slope intercept form to represent this problem

Let

x ----> the number of tickets

y ---> the total cost

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept (one-time processing fee)

In this problem we have

$b=\$11.95$

ordered pairs (4,141.95) and (7,239.45)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values in the formula

$m=\frac{239.45-141.95}{7-4}$

$m=\frac{97.5}{3}$

$m=32.5$

substitute the values in the linear equation

$y=32.5x+11.95$

Part 2) What does your slope represent in this problem? What does your y-intercept represent in this problem?

a) The slope of the linear equation represent the unit rate, so the slope represents the cost of one ticket

$m=\$32.5\ per\ ticket$

b) The y-intercept is the value of y when the value of x is equal to zero

In this context, the y-intercept represent the one-time processing fee

$b=\$11.95$

Part 3) Use the equation to find how much Alan would have to pay for 12 tickets

For x=12 tickets

substitute in the linear equation

$y=32.5(12)+11.95$

$y=\$401.95$

3 0

4 years ago

The big desk in your boss's office is 75 inches long. How long is that in feet?

erma4kov [3.2K]

The answer is 6 feet 3 inches

7 0

4 years ago

Read 2 more answers

The formula for the volume of a sphere is V space equals space 4 over 3 Ïr cubed. Find the radius to the nearest hundredth of a

rjkz [21]

Answer:

r = 1.68 ft

Step-by-step explanation:

Volume of a sphere, V = 4/3πr³

V = 20 ft³

π = 3.14

r = ?

V = 4/3πr³

20 = 4/3 × 3.14 × r³

20 = (4×3.14×r³)/3

Cross product

20 × 3 = 4 × 3.14 × r³

60 = 12.56r³

r³ = 60/12.56

= 4.7771

r = 3√4.7771

= 1.6842

Approximately

r = 1.68 ft to the nearest hundredth

4 0

3 years ago

Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor's. A sample of 40 bab

Readme [11.4K]

Answer:

Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.

Step-by-step explanation:

We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.

Z-score can be calculated using the formula:

z= $\frac{X-Y}{\sqrt{\frac{s(x)}{N(x)}+\frac{s(y)}{N(y)}}}$ where

X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
Y is the mean weight gain for in the first three months after birth for babies using the competitor products
s(x) is the population standard deviation of the sample for Gibbs brand
s(y) is the population standard deviation of the sample for competitor brand
N(x) is the sample size for babies used Gibbs product
N(y) is the sample size for babies used competitor product.

putting the numbers in the formula:

z= $\frac{7.6-8.1}{\sqrt{\frac{2.3}{40}+\frac{2.9}{55}}}$ ≈ -1.51

and z-table gives that P(z<-1.51) = 0.0655

To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.

For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.

5 0

4 years ago

The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft

docker41 [41]

Answer:

c = 10

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, that is

c² = a² + b² ← substitute values

c² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

c = $\sqrt{100}$ = 10

4 0

3 years ago

Read 2 more answers