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3 years ago

Workers in an office of 40 staff were asked their favourite take away. the results are summarised in the table.

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Answer:

Pizza: 27°

Curry: 108°

Fish and Chips: 63°

Kabab: 27°

Other: 135°

Step-by-step explanation:

Frequency 40 = 360°

Pizza (3) = $\frac{3}{40}$ * 360° = 27°

Curry (12) = $\frac{12}{40}$ * 360° = 108°

Fish and Chips (7) = $\frac{7}{40}$ * 360° = 63°

Kabab (3) = $\frac{3}{40}$ * 360° = 27°

Other (15) = $\frac{15}{40}$ * 360° = 135°

27 + 108 + 63 + 27 + 135 = 360

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A group of freshmen at a local university consider joining the equestrian team. Thirty‑five percent of students choose Western r

lesantik [10]

Answer:

a) Option D) 0.75

b) Option D) 0.3

Step-by-step explanation:

We are given the following in the question:

Percentage of students who choose Western riding = 35%

$P(w) = 0.35$

Percentage of students who choose dressage= 45%

$P(d) = 0.45$

Percentage of students who choose jumping = 50%

$P(j) = 0.50$

Percentage of students who choose both dressage and jumping = 20%

$P(d \cap j) = 0.20$

Percentage of students who choose Western and dressage = 10%

$P(w \cap d) = 0.10$

Percentage of students who choose Western and jumping = 0%

$P(w \cap j) = 0$

Thus, we can say

$P(w \cap j \cap d) = 0$

Formula:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

a) P(student chooses dressage or jumping)

$P(d \cup j) = P(d) + P(j) -p(d \cap j)\\= 0.45 + 0.50-0.20 = 0.75$

b) P(student chooses neither dressage nor Western riding)

$= 1 - P(d \cup w)\\= 1 - (P(d) + P(w) - P(d \cap w))\\= 1 - (0.45 + 0.35 - 0.10)= 0.3$

5 0

3 years ago

7 is a factor of which number?<br> 28<br> 16<br> 11<br> 4 4

maw [93]

Answer:

Step-by-step explanation:

28 = 7 x 4

So,

7 is a factor of 28.

6 0

3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

51% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?

andrew-mc [135]

I think the answer is 51/100

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3 years ago

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The sum of 2 positive integers is 3. the sum of their squares is 5. find the 2 numbers

Kipish [7]

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

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4 years ago

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