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ivann1987 [24]
3 years ago
6

Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches,

and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Answer:

Yes maybe.

Step-by-step explanation:

Well basically if we find the volume of 20 pieces of candy in all, that would be= 20*0.8= 16 cu.inches

And then if we find the volume of the square based pyramid, that would certainly be= 3.6*3.6*4 that is 51.84

Then lastly, if we do, 51.84 ÷16 the final answer will be 3.24. Which might actually be the answer as the pieces of candy certainly can't pass the limit 20 according to me.

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The mean percent of childhood asthma prevalence in 43 cities is 2.16%. A random sample of 31 of these cities is selected. What i
IceJOKER [234]

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357 or 3.57 %.

What is Probability ?

Probability is the measure of likelihood of an event.

For a Normal Distribution ,

the z-score formula is given by

\rm Z = \dfrac{X - \mu }{\sigma}

Here \rm \mu\\ is the mean and \rm \sigma\\ is the standard deviation .

It is the measure of the deviation of the data from its central tendency.

Each z-score has a probability value.

It is given in the question that

Mean of 2.16% =  \rm \mu\\ = 2.16

Standard deviation of 1.36% means that  \rm \sigma\\ = 1.36

For Sample of 31 the value of standard deviation is \rm s = \dfrac{\sigma}{\sqrt{n}}

s = 1.36/√31

s = 0.2442

Substituting the values

Z = (2.6 -2.16)/0.2442

Z =1.8

the p value from the graph of z and p , 0.9643

To determine value of probability  more than X is 1 - 0.9643= 0.0357

the

Probability that the mean childhood asthma prevalence for the sample is greater than 2.6% is 0.0357.

To know more about Probability

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6 0
2 years ago
A scuba diver descends 63 feet in 18 seconds.
Elanso [62]

Answer:

3.5

Step-by-step explanation:

the answer is 3.5 because when you divide 63 and 18 you get 3.5

5 0
3 years ago
What are the values a, b, and c in the following quadratic equation?<br><br> −6x = −8x2 − 13
lesya692 [45]

Answer:

Quadratic equation follows form: ax^2 + bx + c = 0

a = 8

b = - 6

c = 13

4 0
3 years ago
(20 pts)
irakobra [83]

A function can be represented by equations and tables

  • 4 users are logged in by 9am
  • The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

g(x) = \frac14 \sqrt{x - 3} + 3

At 9am, x = 9.

So, we have:

g(x) = \frac14 \sqrt{9 - 3} + 3

g(x) = \frac14 \sqrt{6} + 3

Simplify

g(9) = 3.6

Approximate

g(9) = 4

Hence, 4 users are logged in by 9am

<h3>The domain</h3>

Set the radical to 0

x - 3 = 0

Solve for x

x = 3

The maximum time after midnight is 23 hours.

So, the domain is [3,23]

<h3>The range</h3>

When x = 3, we have:

g(x) = \frac14 \sqrt{x - 3} + 3

g(3) = \frac 14 * \sqrt{3 - 3} + 3 = 3

When x = 23, we have:

g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4

So, the range of the function is [3,4]

Read more about domain and range at:

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3 0
2 years ago
Chise the line that is the best fit for the data?
serg [7]

Answer:

Una linea di adattamento ottimale è una linea retta che rappresenta al meglio i dati su un diagramma a dispersione. Questa linea può passare attraverso alcuni dei punti, nessuno dei punti o tutti i punti

Step-by-step explanation:

5 0
3 years ago
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