Math problem please help me answer A and B
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]
Cara is flying a kite at the park using a string that is 42 meters long. She notices that the kite is directly above her friend Leah. If Cara and Leah are standing 36 meters apart, how high is the
kite ?
Answer:
21.63 m
Step-by-step explanation:
Given :
Hypotenus = 42 m
Base = 36 m
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Height = √42²-36²
Height = √1764 - 1296
Height = √468
= 21.63 m
Help!!
[25+{14-(3x2)-2}]
the answer is on the page it is a screenshot explaining how to do it
HELP ME PLEASEEEEEEEEEEEEEEE
It would be 98 ft,
when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98
What is the measure of angle X 60° and 40°
Answer:
80 degree is the measure of third angle
The ratio of pants to shots that John has is 2:3. If John has 8
pairs of pants then how many pants and shorts does he have?
Answer:
12 shirts
Step-by-step explanation:
Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.
Check:
2/3 is equivalent to 8/12
Hope this helps :)
Express 35 degrees into centesimal measure (grade, minute, second).[FULL PROCESS REQUIRED]
Answer:
sorreyyyy mateeeeee dont know the answer
12. The roots of a quadratic are x = -5 and x = 3.
Which of the following are possible factors of the
quadratic?
The formula S=C(1+r)^t models inflation, where C= the value today, r= the annual inflation rate (in decimal form), and S= the inflated value t years from now. If the inflation rate is 4%, use the formula to find out how much a house now worth $183,000 will be worth in 15 years. Round your answer to the nearest dollar.
Answer:
area = b+h / lengthxwidth
Step-by-step explanation:
Segment AB has endpoints at A ( -3 , 6) and B (7 , -3).
What is the Midpoint of segment AB?
Therefore, the midpoint of segment AB is M (2, 3/2).
The midpoint formula is a method to determine the midpoint of a line segment.
To find the midpoint of a line segment, use the midpoint formula. In this case, the endpoints of the segment are A (-3, 6) and B (7, -3), and we need to find the midpoint.Point M is the midpoint of the segment AB. Let's find the x-coordinate of M first by applying the midpoint formula:
midpoint x-coordinate = (x1 + x2)/2
midpoint x-coordinate = (-3 + 7)/2
midpoint x-coordinate = 4/2
midpoint x-coordinate = 2
Now, let's find the y-coordinate of M by applying the midpoint formula:
midpoint y-coordinate = (y1 + y2)/2
midpoint y-coordinate = (6 + (-3))/2
midpoint y-coordinate = 3/2
For such more question on segment
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I need help with this problem can you please show the work
Answer:
48 degrees
Step-by-step explanation:
inscribed angle is always equal to the measure of the arc
if two parallel lines are cut by a transversal, then alternate interior angle are_______.
pa help po thank u
Answer:
if two parallel lines are cut by a transversal, then alternate interior angles are congruent
Use synthetic division to evaluate f(x) = –2x^3+ 3x – 6 when x = -5.
Answer:
-131
Step-by-step explanation:
Use -5 in place of x
f(x) = –2x^3+ 3x – 6
f(x) = -2*-5^3+3*5-6
Round to the nearest whole dollar: $7.23
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
What is the surface area of the figure below?
i really need help with this i beg you !!
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is [tex]\sqrt{2}[/tex] time the length of any of its legs. If the hypotenuse has a measure of [tex]7\sqrt{2}[/tex], then the legs of the triangle have a measure of [tex]7[/tex].
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
[tex]p = 4\cdot l[/tex] (1)
Area
[tex]A = l^{2}[/tex] (2)
Where [tex]l[/tex] is the side length of the square.
If we know that [tex]l = 14[/tex], then the perimeter and area of the square are, respectively:
[tex]p = 4\cdot (14)[/tex]
[tex]p = 56[/tex]
[tex]A = 14^{2}[/tex]
[tex]A = 196[/tex]
The perimeter and area of the square are 56 units and 196 square units, respectively.
An investor invested a total of $2,700 in two mutual funds. One fund earned a 4% profit while the other earned a 2% profit of the investors total profit was $80 how much was invested in each mutual fund
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
What value of X makes the equation true -7x - (-5-x) = -9(2x-1) -1
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
Solve the equation
2x - 4(x-2) = -5 + 4x - 35
3. What is the measure of angle F? A 120° D G B A. 60 degrees. B. 90 degrees. C. 120 degrees. D. 180 degrees.
Answer:
120°
Step-by-step explanation:
The angles that has 120° is the same as angle E.
Angle E = 120°
Angle D = 180° - 120° = 60°
60° + Angle F = 180°
Angle F = 180° - 60°
Angle F = 120°
If my answer is incorrect, pls correct me!
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Please tell me the answer I need it now... please
Answer:
Your answer is C!
A homeowner is replacing 4 solar modules at a cost of $6,200 for each solar module. She is going to get a discount of x dollars off each module. Write and expression that describes this situation and then simplify.
Answer:
[tex]C = 24800-4x[/tex]
Step-by-step explanation:
Given
[tex]Module =4[/tex]
[tex]Unit\ cost = \$6200[/tex]
[tex]Unit\ Discount = x[/tex]
Required
The expression for total discount
When the discount is applied, the cost (c) of 1 module is:
[tex]C = 6200-x[/tex]
For 4 modules, we have:
[tex]C = 4 * (6200-x)[/tex]
Open bracket
[tex]C = 24800-4x[/tex]
Find the area of the composite figure.
A. 27.5 sq in
B. 37.5 sq in
C. 45 sq in
D. 55 sq in
Answer:
B. 37.5 sq in
Step-by-step explanation:
sana po makatulong ☺️
What is the sales tax for a purchase of $20 if the tax rate is 10 percent?
Answer:
2
Step-by-step explanation:
If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20
Answer:
Before Tax Price: $20.00
Sale Tax: 10.00% or $2.00
After Tax Price: $22.00
Step-by-step explanation:
please someone answer this question fast!
Answer:
100.05 in^2
Step-by-step explanation:
Area of parallelogram: base times height
=11.5 x 8.7=100.05 in^2
A network of electrical wires will be constructed so that each of the
six points on the board is directly connected to each other point by a piece
of wire. The diagram shows the board with points A, B, C, D, E, and F.
Answer:
D I just did this
There are 6 seniors on the high school soccer team. Two of them will be chosen to be co-captains. How many ways are there to choose the co-captains? Decide if this is a permutation or a combination, and then find the number of ways to choose the co-captains.
A. Permutation; number of ways = 30
B. Combination; number of ways = 15
C. Combination; number of ways = 30
D. Permutation; number of ways = 15
Answer:
B. Combination; number of ways = 15
Step-by-step explanation:
Since order doesn't matter, this is a combination:
6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15
Therefore, there are 15 possible ways to choose 2 co-captains out of 6.
Combination; the number of ways = 15.
Option B is the correct answer.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.
The number of ways to choose two seniors out of six seniors is given by the formula:
C(6,2) = 6! / (2! * 4!) = 15
Therefore,
Combination; the number of ways = 15.
Learn more about combination here:
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Indicate the answer choice that best completes the statement or answers the question.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
30 is what percent of 60?
A 200%
ь. 50%
c. 90%
d 18%
Answer:
no.D) 18% is the answer of this question
help please and thank you
Answer:
23,030
Step-by-step explanation:
Add you base price, keyless entry, engine cooling, read window defogger and destination charge together.