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Ierofanga [76]
2 years ago
7

Emma has a homework in 8 subjects she is deciding in what order to complete them in, how many different ways are there?

Mathematics
1 answer:
zheka24 [161]2 years ago
5 0

Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

You might be interested in
2 A garden hose supplies 36 gallons of water in 3 minutes. Use a table or eq
Vilka [71]

Answer  ↣ 12 gallons per minute

Step-by-step explanation ↣ Ok I'm gonna use ratios because I can't draw a graph here.

Ok so if the garden hose supplies 36 gallons of water in 3 minutes, then the ratio is 36:3 because every 3 minutes the garden hose "sprays" 36 gallons.

To simplify this ratio, you need find the amount of water the garden hose supplies in 1 minute.

Well to get from 3 to 1, you have to divide by 3.

Do the same thing to 36. 36/3 equals 12.

So the final ratio is 12:1

This is the unit rate. The unit rate is when one variable is 1 unit (most of the time it is speed).

You can multiply 1 by any number and multiply 12 by the same number.

Here are some ratios...

m=minutes

g=gallons

1m:12g

2m:24g

3m:36g

4m:48g

5m:60g

Hope this helped!

BTW why do I sound like this I'm not a aesthetic person-

8 0
2 years ago
Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.
Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that \mu = 50, \sigma = 10

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

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

Z = \frac{65 - 50}{10}

Z = 1.5

Z = 1.5 has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0
3 years ago
A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points
seraphim [82]

Answer:

Number of edges in the resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We are supposed to find the number of edges that are in the resulting solid.

In some corners , if we take out inch from both, then there would be nothing remaining.

The two faces along the height would be removed and it will become sharpened.

So the number of edges = 4 + 4 + 4 = 12

7 0
3 years ago
What is the base of the exponential function?
jeka94

Answer:

the answer might be 0.86 I don't know though

4 0
3 years ago
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