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IrinaK [193]
3 years ago
9

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader

s.
How many sixth graders, how many seventh graders and how many eighth graders?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

Answer:

Sixth graders: 14

Seventh graders: 28

Eighth graders: 28

Step-by-step explanation:

To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:

70 students= 100%

sixth grades=   40%

Sixth grades= (40*70)/100

Sixth graders= 28

70 students= 100%

seventh grades=   20%

seventh graders=   (20*70)/100

Seventh graders=14

So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:

28+14=42

70-42=28

SOwe have that the eighth graders are 28

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 ,
marusya05 [52]

Answer:

B. 93%

Step-by-step explanation:

Find the z-score:

z = (x − μ) / σ

z = (122 − 100) / 15

z = 1.47

Find the probability using a calculator or z-score table.

P(Z < 1.47) = 0.93

7 0
2 years ago
Can someone please help
Nonamiya [84]

Answer:

Step-by-step explanation: do what it says go to a supermarket lol

3 0
3 years ago
An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.
vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

<u>Calcium:</u>

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

20x+40y=2,200

<u>Vitamin A:</u>

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

60x+10y=1,100

Solve the system of two equations:

\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.

Divide each equation by 10:

\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.

From the second equation:

y=110-6x

Substitute it into the first equation:

2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50

6 0
3 years ago
Click once to choose an answer. Click again to change your answer. Choose all that locate the ordered pair in the correct quadra
forsale [732]

Answer:

Quadrant\ IV = (5, -3)

Quadrant\ I = (9, 11)

Quadrant\ II = (-1, 3)

Quadrant\ III = (-2, -4)

Step-by-step explanation:

Given

Quadrant\ IV = (5, -3)

Quadrant\ II  = (-4, -8)

Quadrant\ I = (9, 11)

Quadrant\ II = (-1, 3)

Quadrant\ III = (-2, -4)

Required

Determine which coordinate fall in the right quadrant

First, we split the each quadrant into x and y axis

In the first:

x and y is +

In the second:

x is - and y is +

In the third

x and y are -

In the fourth

x is + and y is -

Comparing the given coordinates to their respective quadrants, base on the conditions stated above

Quadrant\ IV = (5, -3)  is correct

Quadrant\ I = (9, 11) is correct

Quadrant\ II = (-1, 3) is correct

Quadrant\ III = (-2, -4) is correct

Quadrant\ II  = (-4, -8) is incorrect

3 0
3 years ago
Okay heres the photo
11111nata11111 [884]
Anwser = 117


Hope it helped
3 0
2 years ago
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