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In-s [12.5K]
3 years ago
6

Eighty-five percent of the students dressed up for spirit week. What fraction of the student body did NOT dress up for spirit we

ek?

Mathematics
2 answers:
siniylev [52]3 years ago
7 0

Answer:

17/20

Step-by-step explanation:

Anastasy [175]3 years ago
7 0

Answer:

15/100 or 3/20

Step-by-step explanation:

Only 15% of the school did NOT dress up for spirit week as 85% did. 15% as a fraction is 15/100. 15/100 Simplified is 3/20

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Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.43cm and a standard deviation
malfutka [58]

Answer:

Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 7.43cm, standard deviation of 0.35cm.

What percentage of the apples have diameters that are between 7.08cm and 7.78cm?

7.43 - 0.35 = 7.08 cm.

7.43 + 0.35 = 7.778 cm.

Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

5 0
3 years ago
How do you multiply add and divide fractions?
Solnce55 [7]

Answer:

If the denominators are not the same: First, make them the same. Then add or subtract like fractions with the same denominators.

Step-by-step explanation:

the first step when multiplying fractions is to multiply the two numerators. the second step is to multiply the two denominators.  simplify the new fractions. the fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.

to add or subtract fractions they must have the same denominator. if the denominators are already the same then it is just a matter of either adding or subtracting the numerators if the denominators are difrent then a common denominator needs to be found.

8 0
3 years ago
7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer
Aneli [31]
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
6 0
3 years ago
Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
I would like to know the answer for this question
g100num [7]
To put words into equations:
x+y+z =50
x=4y
4y=5z -> z= 4/5 y


Which means
4y+y+ 4/5 y= 50
29/5 y =50
29y=250
Y=29/250
3 0
3 years ago
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