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Maksim231197 [3]
3 years ago
14

The two-way frequency table below shows data from a random sample of 93 students on their favourite season and whether or not th

e student has allergies.
Which of the following statements is true about the students surveyed?
Choose 1 answer:

(Choice A)
A
A student with allergies is least likely to have spring as their favourite season.

(Choice B)
B
A student was most likely to have summer as their favourite season, whether or not they have allergies.

(Choice C)
C
A student with no allergies is more likely to have spring than fall as their favourite season.

(Choice D)
D
A student was more likely to have no allergies, no matter what their favourite season was.


Has allergies No allergies Total
Winter 5 9 14
Spring 6 7 13
Summer 13 23 36
Fall 14 16 30
Total 38 55 93
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

Choice D

Step-by-step explanation:

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Which expression is equivalent to 24x2 - 22x + 5?​
enot [183]

Answer:

C

Step-by-step explanation:

Given

24x² - 22x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 5 = 120 and sum = - 22

The factors are - 12 and - 10

Use these factors to split the x- term

24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )

= 12x(2x - 1) + 5(2x - 1)  ← factor out (2x - 1) from each term

= (12x - 5)(2x - 1) ← in factored form → C

4 0
3 years ago
The ratio of the number of Miki's stickers to the number of Ken's
Lera25 [3.4K]

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that \frac{x}{y} = \frac{8}{7}, that is: 7x = 8y, or x = \frac{8y}{7}

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

x - 18 = y + 18

x - y = 36

Since x = \frac{8y}{7}

\frac{8y}{7} - y = 36

\frac{8y}{7} - \frac{7y}{7} = 36

\frac{y}{7} = 36

y = 36*7 = 252

And

x - y = 36

x = 36 + y = 36 + 252 = 288

Miki had 288 stickers and Ken had 252 stickers.

7 0
2 years ago
Help please, just number 3, thats all im asking, thanks.
Bezzdna [24]

The rectangle that has area 400 has width 10, so its length is 40.

A = LW; L = A/W = 400/10 = 40

The length is 10 + 0.2 = 10.2. The width is 10 + 2 = 12

The multiplication is 10.2 * 12

40.2 * 12 = 40 * 10 + 0.2 * 10 + 40 * 2 + 0.2 * 2

40.2 * 12 = 400 + 2 + 80 + 0.4

40.2 * 12 = 482.4

4 0
3 years ago
I need the know the answer in A B C because I’m confused
bulgar [2K]

Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

4 0
2 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
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