1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ray Of Light [21]
3 years ago
15

The 20 colleges of interest to a high school senior include 8 that are expensive ( tuition more than 20,000 per year), 8 that ar

e far from home( more than 200 miles away), and 7 that are both expensive and far from home. If the student decides to select a college that is not expensive and within 200 miles from home, how many selections are possible?
Mathematics
1 answer:
alekssr [168]3 years ago
7 0

Answer: 6

Step-by-step explanation:

Let  S= Total colleges

A = colleges are expensive.

B= colleges are  far from home( more than 200 miles away).

Given : n(S)= 20

n(A)=8

n(B)=8

n(A∩B) =2

Then, the number of  college that are not expensive and within 200 miles from home :-

n(A'\cap B')=n(S)-n(A\cup B)\\\\=20-(n(A)+n(B)-N(A\cap B))\ \ [\because\ n(A\cup B)=n(A)+n(B)-N(A\cap B)]\\\\=20-(8+8-2)\\\\=20-14=6

i.e.  the number of  college that are not expensive and within 200 miles from home=6

Hence, the number of possible selections are <u>6</u> .

You might be interested in
A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has
skad [1K]

Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

Z = (x-mean)/(st. dev.)

Solving x:

1.88 = (x-150)/10 \\x = 168.8 = 169

3 0
3 years ago
Read 2 more answers
40 points answer ASAP
suter [353]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

8 0
2 years ago
The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha
ra1l [238]
We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students 
Z= \frac{60-50}{5}=2

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
3 0
3 years ago
In △ABC, ∠ABC = 60 degrees .
ira [324]

A given<u> shape</u> that is <em>bounded</em> by three <u>sides</u> and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of <u>PB</u> is 8.0 units.

A given <em>shape</em> that is <u>bounded</u> by three<em> sides</em> and has got three <em>internal angles</em> is referred to as a <u>triangl</u>e. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the<em> internal angles</em> of any <u>triangle</u> is 180^{o}.

In the given question, point<u> P</u> is <u>center</u> of the given <u>triangle</u> such that <APB = <APC = <BPC = 120^{o}. Such that <u>line</u> PB <em>bisects</em> <ABC into two <u>equal</u> measures of 30^{o}.

Thus;

<ABP = 30^{o}

Thus,

<ABP + <APB + <BAP = 180^{o}

30 + 120 + <BAP = 180^{o}

<BAP = 180^{o} - 150

<BAP = 30^{o}

Apply the <em>Sine rule</em> to determine the value of PB, such that;

\frac{a}{SinA} = \frac{b}{SinB}

\frac{8}{Sin 30} = \frac{PB}{Sin 30}

BP = \frac{8*Sin 30}{Sin 30}

    = 8

BP = 8.0

Therefore, the value of <u>PB</u> = 8 units.

For more clarifications on Sine rule, visit: brainly.com/question/27174058

#SPJ1

5 0
2 years ago
If 9 x 0 + 4 = 4 had parenthesis where would they go?
Bingel [31]

Answer:

(9 x 0) + 4=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • 98 is what percent of 2487
    14·2 answers
  • Cassie wrote some numbers in a numbers in a number pattern. 14,17,12,15,10,13,8,11. What should be th e next number in her patte
    10·2 answers
  • A blueberry pie is shot out of a pie cannon from a height of 6m and with a velocity of 60 m/s. How many seconds will pass before
    7·1 answer
  • Which single transformation is shown in this picture?
    12·2 answers
  • The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations e
    12·2 answers
  • This table shows values that represent a function
    5·1 answer
  • Someone pls help me I’ll give u brainliest :((((
    11·1 answer
  • Please someone help???ty!!
    12·1 answer
  • 2.3 x 10^5 + 4.1 x 10^6 answer please
    8·1 answer
  • . √-100 rewrite each expression using I
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!