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hoa [83]
3 years ago
13

A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do no

t play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.

Which of the following correctly represents the given data in the problem?

A: a = 24, g = 48, h = 22, i = 80
B: a = 22, c = 80, d = 24, i = 48
C: a = 24, b = 48, c = 22, i = 48
D: a = 24, c = 48, e = 22, i = 80
Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

b = 24

d = 10

f = 32

g = 34

h = 46

Step-by-step explanation:

Gennadij [26K]3 years ago
3 0

Answer:

It's D

Step-by-step explanation:

I took the lesson E2020

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Lucas has 1/2 quart of milk. If he pours the same amount of milk into 8 glasses, how many quarts of milk will each glass contain
Natali5045456 [20]

Answer:

16 quarts of milk in each glass

Step-by-step explanation:

8 divided by 1/2 is 16

5 0
2 years ago
Can someone please solve this problem for me?
statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

x *(x+2)=35

Expanding, you get:

x^{2}+2x = 35.

And moving the 35 to the other side, you get a simple quadratic.

x^{2}+2x -35 =0.

Solving by factoring:

(x+7)(x-5)

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

5 0
3 years ago
A function is shown in the table below. What equation represents this function?
den301095 [7]

Answer:

y=-3x+6

Step-by-step explanation:

that equation gives the answer for all the 'y'

7 0
3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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 = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

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

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

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

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m
ANTONII [103]

Right now the dirt bike is worth $500. Next year it will be worth 15% less, or 85% of the current value (because currently it's at 100%, so you would subtract the 15%). To find 85% of the dirt bike's value, you would take $500 and multiply by 85% (or 0.85). This would give you $425 after 1 year. You'd take $425 and multiply that by 85% for the next year, and continue until you reached 5 years of the value decreasing. Does this help?

6 0
3 years ago
Read 2 more answers
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