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kotykmax [81]
2 years ago
8

As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship be

tween eye color and hair color among students. The table below contains the results of the survey.
Eye Color
Hair
Color Blue Gray Green Brown Marginal
Totals
Blond 42 5 21 10 78
Red 12 22 19 12 65
Brown 22 5 12 34 73
Black 9 3 11 64 87
Marginal
Totals 85 35 63 120 303

From the sample population of students with gray eyes, what is the relative frequency of students with red hair?


0.07


0.27


0.33


0.26
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 1

Answer:

0.63

Step-by-step explanation:

To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.

Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22

The formula we will use to calculate the relative frequency will be

The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students

22 ÷ 35 = 0.628  ≅ 0.63

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8 0
2 years ago
Which of the following steps were applied to ABCD to obtain A’B’C’D’?
devlian [24]

Answer:

c- shifted 3 units right and 4 units up

Step-by-step explanation:

In this problem, we have a quadrilateral named as ABCD. Recall that a quadrilateral is a two-dimensional shape having four sides. So, we need to identify what transformation has been performed to get A'B'C'D', which is the same quadrilateral shifted certain units right and up. So take one point, say, B, so how do we need to do to obtain point B'? well, we need to move that point 3 units right and 4 units up, but how can we know this? just count the number of squares you need to move from B to B' horizontally and vertically, which is in fact  3 units right and 4 units up.

6 0
1 year ago
Read 2 more answers
a bookshelf is 14 inches wide.there is enough space to fit 2 trophies one trophy is 2 inches wider than the other. how wide is t
Orlov [11]
The answer is 9 because half of 14 is 7, and 7+2=9
5 0
1 year ago
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
denpristay [2]

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

3 0
2 years ago
Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?​
Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three 4\frac{1}{2} oz cans and five 8\frac{1}{4} oz cans.

To find : How many ounces of tomatoes does Mark need?​

Solution :

Mark has three 4\frac{1}{2} oz cans.

i.e. 3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}

Mark has five 8\frac{1}{4} oz cans.

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Total ounces of tomatoes does Mark need is

T=\frac{27}{2}+\frac{165}{4}

T=\frac{54+165}{4}

T=\frac{219}{4}

T=54.75

Therefore, 54.74 ounces of tomatoes mark need.

7 0
1 year ago
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