Answers
Answer:
a) [tex]\frac{19}{52}[/tex]
b) [tex]\frac{7}{52}[/tex]
Step-by-step explanation:
Total number of students = 52
Number of students who are democrats = 26
Number of students who are business majors = 12
Number of students who are business majors as well as democrats = 7
Now, lets come to the question.
a) Number of students who are democrats but not business majors =
(Number of democrats) - (Number of democrats as well as business majors)
⇒ 26 - 7
⇒ 19
∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]
b) Number of students who are neither democrats nor business majors =
(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)
⇒ 52 - (26 + 12 + 7)
⇒ 52 - 45
⇒ 7
∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]
Related Questions
Write the equation of the circle with a center (5, -7) and radius = 7
Answers
Answer:
[tex](x-5)^{2} + (y+7)^{2} = 49[/tex]
Step-by-step explanation:
9514 1404 393
Answer:
(x -5)^2 +(y +7)^2 = 49
Step-by-step explanation:
The equation of the circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
Putting (h, k) = (5, -7) and r = 7 into this form, your equation is ...
(x -5)^2 +(y +7)^2 = 49
There are 3 red, 5 green, 7 blue, 1 black and 4 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find the probability of selecting a green marble, then a red marble.
Answers
Answer:
Step-by-step explanation:
Initial condition:
3 red
2 blue
5 green
2/10 times 5/9=2/9 times 5/10 or 1/2 = 2/9 times 1/2=1/9
hope this helps have a good day too.
a) Work out the size of angle x.
b) Give reasons for your answer.
Answers
Answer:
x = 75°
Step-by-step explanation:
Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°. x = 75°
Answer:
75
Step-by-step explanation:
180° - 105° = 75°. x = 75°
If you save $110 in one month, how much will you save in one year?
Answers
There is 12 months in a year so you need to multiply 12 by 110 which is 1320
Your answer is: 1320 saved in one year
Hope this helped :)
help help exponents help
Answers
Answer:
3
Step-by-step explanation:
The base is the number below the exponent.
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answers
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
After the introduction of a new soft drink, 200 people are asked to take a taste test to see how it is being received. Of those who participated, 48 said they preferred the new soft drink, 112 preferred the old soft drink, and 40 could not tell any difference. What is the probability that a person in this survey, chosen at random, preferred the new soft drink
Answers
Answer:
Step-by-step explanation:
The possibility is 48/200
The probability of people preferred the new soft drink is 6/25.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
Total number of people taste test=200
Number of people who participated new soft drink=48
Number of people who participated old soft drink=112
Number of people who participated could not tell any difference=40
So, the probability of people preferred the new soft drink=
favorable outcome/total number of outcome
probability of people preferred the new soft drink=48/200
probability of people preferred the new soft drink=6/25
So, the probability of people preferred the new soft drink is 6/25.
Learn more about probability here:
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A jeweler makes a necklace using a total of 60 shells and shark teeth. The ratio of shells to shark teeth is 5:1. How many of each does she use?
Answers
The 5:1 ratio gives us a repeating pattern using 6 items. How many times can we get 6 out of 60? 10. So the pattern will repeat itself 10 times. We will have 10 sets of 5 shells and 1 shark tooth.
10 x 5 = 50
10 x 1 = 10
50 + 10 = 60
How many times can you fill a 250ml cup from a 4 litre jar?
Answers
anced
d
15. A two-digit positive number is such that the ones
digit is 2.5 times as much as the tens digit. If the
difference between the number and the number
obtained when the digits are reversed is 27, find
the number.
Answers
Answer:
The number is 52 or 25.
Step-by-step explanation:
The photo has the full solution
The number, when A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit, is 25.
What is the equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
A two-digit positive number is such that the one's digit is 2.5 times as much as the ten's digit,
Write the equations of the statement as shown below,
Assume the one's digit is x and the ten's digit is y then,
x = 2.5y
(10y + x) - (10x + y) = 27
Solve the above equation and find the value of x and y,
10y + x - 10x - y = 27
-9x + 9y = 27
-x + y = 3
-2.5y + y = 3 (Plug value of x)
-1.5y = 3
y = 2
x = 2.5 × 2
x = 5
Number = 2 × 10 + 5 = 25
Thus, the number is 25.
To know more about equation:
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Find the range of the data. 45,76,98,21,52,39
Answers
In order to find range, you reorder the numbers from smallest to largest (21 39 45 52 76 98). Then you subtract the smallest number from the largest number and get the answer (98-21=77)
Hope this helps!
Please help me this is for 40 points !!!!
Answers
Here is the final problem jaded
Answers
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
Help! CAN anyone help? I’ll give Brainly!! It’s not 5.75% x 60,000... thank you
Answers
What is the volume of this triangular prism in cm^3? Image is in the png link. Ples help. :(
Answers
What is 4 27/50 as a decimal
Answers
Answer:
4.54
Step-by-step explanation:
If you borrow $900 for 4 years at an
annual interest rate of 5%, how
much will you pay altogether?
Answers
Answer:
$995.04
Step-by-step explanation:
You pay $20.73 every month. $20.73 x 48 = $995.04
Answer:
i am going to assume that for interest you mean simple interest.
900*5%*4=180
180+900=1080.
if you mean compound interest...
900*(1+5%)^4=1094.0 (1.d.p)
find the equation of the straight line passing through the point (3, 3) which is perpendicular to the line y=-1/2x-4
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
The negative recipricol is -1/(-1/2) = 2
Use point-slope equation:
y-y1 = m(x-x1)
x1 = 3, y1=3
y-3 = 2(x-3)
y-3 = 2x-6
y = 2x-3
I need to finish this today! Please help!
Answers
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
If x= 4, calculate the value of: 3x2 + 4x
Answers
Step by step exploration
3*4*4+4*4=48+16=64
Answer:
64Step-by-step explanation:
x = 4
Substitute x and calculate:
3x² + 4x = 3(4²) + 4(4) = 48 + 16 = 64Find the dot product of u and v.
Answers
9514 1404 393
Answer:
-4
Step-by-step explanation:
The dot product is the sum of products of corresponding coefficients.
u·v = (4)(-1) +(0)(2) = -4
u·v = -4
HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
A) 3.5 m
Step-by-step explanation:
3.5 x 2 = 7/2 = 3.5
Suppose a city with population 340,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 20 years.
Answers
Answer:
Total population = 340000
Growing rate = 4%
Growing population = 340000×4/100
= 13600 per year
Now population increased in 20 years = 13600 × 20 = 272000 population.
Now ,
The population after 20 years = 340000+272000
=612000
So the population after 20 years = 612000
over the weekend MRs. Kinston sold slices of cake at a bake sale fundraiser
Answers
The probability that no one is waiting in a given hour
Answers
Answer:
two people in an hour
Step-by-step explanation:
thats why I think that why no one is waiting
Answer:
Step-by-step explanation:
How many 1/3s are in 1 2/3?
Answers
Answer:
12
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3/3+2/3 = 5/3
Answer is 5
What does the term 9b represent
A,B,C,D
Answers
Answer:
(B) The cost to rent a bike
Answer: the cost to rent a bike
Step-by-step explanation:
Please help me lol I need it picture should be below
Answers
9514 1404 393
Answer:
m∠Y = 40°
Step-by-step explanation:
The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...
s + y = 90
(4y -110) +y = 90 . . . . . . . . substitute for s
5y = 200 . . . . . . . . . add 110
y = 40 . . . . . . . divide by 5
The measure of angle Y is 40°.
Options are:
X=2, Y=3
X=3, Y=2
X= -2, Y=3
X=4, Y=8
Answers
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
convert 12 1/2 to a precent A. B. 12.5% C. 125% D. 1,250%