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2 years ago

9

in 1996 there were approximately 275 students in the Delaware high school band in 2002 that number increased to 305 find the ann

ual rate of change in the number of students in the band?

1 answer:

BlackZzzverrR [31]2 years ago

8 0

I think the answer is 30

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A bathtub is filled with 38 1/3 gallons of water. If 2 3/5 gallons splash out, how much water is left in the tube

musickatia [10]

So let's convert these to improper fractions:

$38\frac{1}{3}=\frac{115}{3}$

$2\frac{3}{5}=\frac{13}{5}$

Then let's convert these fractions so that they have a denominator of 15 so we can better compare these numbers:

$\frac{115}{3}=\frac{575}{15}$

$\frac{13}{5}=\frac{39}{15}$

So when we have $\frac{39}{15}$ gallons splash out, we are left with $\frac{536}{15}$ gallons or $35\frac{11}{15}$ gallons in the tub.

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2 years ago

Consider a normal distribution with mean 23 and standard deviation 7. What is the probability a value selected at random from th

Trava [24]

Answer:

0.5 = 50% probability a value selected at random from this distribution is greater than 23

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 23, \sigma = 7$

What is the probability a value selected at random from this distribution is greater than 23?

This is 1 subtracted by the pvalue of Z when X = 23. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{23 - 23}{7}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

0.5 = 50% probability a value selected at random from this distribution is greater than 23

5 0

3 years ago

Read 2 more answers

Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.

Flura [38]

Answer:

s = 6 feet

Step-by-step explanation:

Given that,

The volume of the cube, V = 216 feet³

We need to find the side length for the cubical box. We know that the volume of the cube is given by :

$V=s^3$ , s is the side length of the box.

So,

$s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet$

So, the side length for the cubical box is equal to 6 feet.

6 0

3 years ago

Jordan jarred 18 liters of jam after 6 days. How many days does Jordan need to spend making jam if he wants to jar 27 liters of

tiny-mole [99]

Answer:

69420

Step-by-step explanation:

69 420 equils 69 420

8 0

3 years ago

The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House

irakobra [83]

So here's the solution to the problem:

Calculate the average sell:

1,700 * $25 = $42,500 (revenue)

And if the Opera House wants to increase their revenue:

The price of a ticket will be:

$25 - x (where x is the number of 1-dollar decreases)

The number of tickets in total:

1,700 + 200x

Therefore the equation is:

(1,700 +200x) * ( 25 - x ) = 55,000

We can also solve this equation, but the solutions are not whole numbers.

x 1 = 5.89 and x 2 =10.6

For x = 6 (6 times 1 - dollar decreases):

( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18

=2,900 *19 = 55,100 (we will yield the revenue over $55,000)

3 0

3 years ago