Which ratio is equivalent to 12 over 14

A rectangular field has the perimeter of 772 feet. If the length is 8 feet longer than twice the width, what are the dimensions

Elis [28]

Width=254.67
length=517.33

7 0

3 years ago

I need help. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a s

lutik1710 [3]

Answer:

1.28 m

Step-by-step explanation:

48/30 = x/.8

cross multiply

30x = 48(.8)

30x = 38.4

x = 38.4/30

x = 1.28 m

8 0

3 years ago

Tania has 56 liters of milk. She uses the milk to make muffins and cakes. Each batch of muffin requires 7 liters of milk and eac

mihalych1998 [28]

Write the inequalities that are given by the :

x: the number of batches of muffins

y: the number of batches of cakes

Each batch of muffin requires 7 liters of milk and each batch of cakes require 4 liters of milk.

=> liters of milk use = 7x + 4y

Tania has 56 liters of milk.=> 7x + 4y ≤ 56

Which means that the amount of muffins and cakes made are limited by the availability of 56 liter of milk.

The inequality 7x + 4y ≤ 56 is graphed by drawing the line 7x + 4y = 56 and shading the region below that line.

The line 7x + 4y = 56 has these x and y intercepts:

y-intercept: x =0 => 4y = 56 => y = 56/4 => 14 => point (0,14)

x-intercept => y = 0 => 7x = 56 => x = 56/7= 8 => point (8,0)

So, the line passes through the poins (0,8) and (14,0) and the solution region is below that line.

Also, you know that x and y are restricted to be positive or zero =>

x ≥ 0

y ≥ 0.

So, the solution region is restricted to the first quadrant.

That implies that the answer is:

Line joining ordered pairs 0, 14 and 8, 0. Shade the portion of the graph below this line which lies within the first quadrant

4 0

4 years ago

Please help me, this is confusing..

soldi70 [24.7K]

Copy this for part A & B, the x-axis is (1.5,0) the y-axis is (0,1)

7 0

3 years ago

Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between whe

blagie [28]

Answer:

(26.32; 57.68)

See explanation below.

Step-by-step explanation:

Assuming the following question:

Pay your bills:

In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 42 with a standard deviation of 8 days. Assume the data to be approximately bell-shaped.

Between what two values will approximately 95% of the numbers of days be?

Solution to the problem

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the average number of days between when a bill was sent out and when the payment of a population, and for this case we know the distribution for X is given by:

$X \sim N(42,8)$

Where $\mu=42$ and $\sigma=8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.975$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.025 of the area on the left and 0.975 of the area on the right it's z=-1.96. On this case P(Z<-1.96)=0.025 and P(z>-1.96)=0.975

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=-1.96$

And if we solve for a we got

$a=42 -1.96*8=26.32$

So the value of height that separates the bottom 2.5% of data from the top 97.5% is 26.32.

For the other value since the distirbution is symmetric the other value that accumulates 0.975 of the area on the left and 0.025 on the right is z=1.96 and similarly:

$z=1.96$

And if we solve for a we got

$a=42 +1.96*8=57.68$

So the answer for this case would be (26.32; 57.68)

3 0

3 years ago