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Dmitry [639]
3 years ago
13

Twenty middle school students are outside a movie theater waiting for it to open. There are four more girls than

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

0.4 , 0.1

Step-by-step explanation:

Let number of boys be = b , number of girls = b + 4 . As total students = 20    b + b + 4 = 20  → 2b + 4 = 20 → 2b = 20 - 4 = 16 → b = 16 / 2 = 8 (boys) , so girls = 12

Prob (a random first child is a boy) = boys / total students = 8 c 1 / 20 c1, or =  8  / 20  = 0.4

Prob ( a 'Tina' out of two Tina is the last) = 2 c 1 / 20 c 1 , or = 2 / 20 = 0.1

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Your friend surveyed 100 people who took either vitamin C, zinc, or
adelina 88 [10]

Answer:

27 : 100

Step-by-step explanation:

Given :

__________ no cold ____ cold _____ total

Vitamin C ___ 41 ________ 15 ______ 56

Zinc _______ 12 _________5 ______ 17

Echinacea __ 21 _________ 6 ______ 27

Total ______ 74 _________ 26 ____ 100

The ratio of people who took Echinacea :

Number of people who took Echinacea : total number of people in the survey

From the TOTAL column:

Number of people who took Echinacea = 27

Total Number of people in survey = 100

Hence, ratio equals :

27 : 100

7 0
2 years ago
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
Patti drives a car for 224 miles in 4 hours what is her constant speed
IceJOKER [234]

Answer:

Step-by-step explanation:

The answer is 56 mph

6 0
2 years ago
Read 2 more answers
You should multiply by 4 before adding 16 to solve the inequality 11 &gt;<br>16​
joja [24]

Answer:

11 >  - 16

False, you should add 16 first to make the equation easier. If you multiplied by 4, you would have to multiply everything by 4, whereas by adding 16 first you only have to solve 27 · 4 to get a.

Step-by-step explanation:

3 0
2 years ago
Lenny is offered jobs at two different companies. At company A, he gets a base salary of $55,000 with manual raises of $2500. At
mel-nik [20]
Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies. 
For Job 'B', his salary would be: 62,000 + 2,000n

A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.

B.
     a. 55,000 + 2,500n
     b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a. 
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]] 

Anyway, I hope this helped! :D
5 0
3 years ago
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