Given:
Total number of students: T = 147
Number of students taking math : M = 95
Number of students taking science : S = 73
Number of students taking both math and science = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
It is given that,
Total number of students (T) = 147
Number of students taking math (M) = 95
So, he theoretical probability of randomly choosing a student who is taking math is:
[tex]P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100\%[/tex]
[tex]P(M)=\dfrac{95}{147}\times 100\%[/tex]
[tex]P(M)=64.62585\%[/tex]
[tex]P(M)\approx 64.6\%[/tex]
64.6% is the theoretical probability of randomly choosing a student who is taking math.
Hence, option C is correct.
A rectangular window is 4x inches wide and 8x inches long. What is an expression for the distance from one corner of the window to the opposite
corner? Give your answer as a simplified radical.
Answer:
Step-by-step explanation:
Pythagorean theorem
a² + b² = c² a = 4x b=8x
c = √(a² + b²)
c =√((4x)² + (8x)²)
= √(16x² + 64x²)
= √80x²
= √(16×5)x²
= 4x√5
sara had 51 stickers and her dad had 13 stickers how many are in all
Answer:
64
Step-by-step explanation:
Answer:
64!
Step-by-step explanation:
(50 + 10) + (1 + 3)
(60) (4)
60 + 4 = 64!
how do you convert percentages into decimals??
Answer:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Example: 10% becomes 10/100 = 0.10.
Example: 67.5% becomes 67.5/100 = 0.675.
Step-by-step explanation:
Hopes this helps
Answer:
Step-by-step explanation:
Divide a percent by 100 and remove the percent sign to convert from a percent to a decimal.
Example: 10% becomes 10/100 = 0.10.
Example: 67.5% becomes 67.5/100 = 0.675.
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In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 180 calories per 15
square inches, how many calories did he eat?
Answer:
700 calories
Step-by-step explanation:
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
how to solve for a cone with a 4.25 height and 3.25 radius
Answer:
Rounded Answer - 47.01
Exact Answer - 47.00935
Step-by-step explanation:
see attached image below!!!
PLZZ give me brainliest
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
SSS, ASA, SAS, or AAS?
Answer:
ASA
Step-by-step explanation:
Angle side angle test
angle BAC = angle RPQ
side AC = side PQ
angle BCA = angle RQP
Leo's age is 21 less than 2 because of his sisters age. If her sister is 23 years old how old is Leo
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
the equations in the triangle consist of (2x +1) and (5x +5)
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
what is the volume of the following rectangular prism?
Answer:
33 cubic unit
Step-by-step explanation:
Volume of the prism = base area * height
= 9 * 3 2/3 {Change improper to proper fraction}
[tex]= 9*\frac{11}{3}\\\\= 3* 11\\\\= 33 unit^{3}[/tex]
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
PLEASE HELP!!! Pleaseee!
Answer:
a
Step-by-step explanation:
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
After 3 rounds, 43 students are eliminated from the freeze dance game. There are 56 students remaining. Find the number of students who started the game.
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
I will give you BRAINLIEST for the correct answer
I think 49 meters in 28 hours
Answer:
it's 49 meters in 28 hours
Step-by-step explanation:
what I did here is I said half of 49 meters which is = 25m (rounded off) and half of 28 hours is 14 hours
so it's
25 m in 14 hours compared to 14 meters in 10 hours
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
HELP FAST ITS TO RPROVE MY TEACHER WRONG
Answer
use goo gle
Step-by-step explanation:
A swimming pool holds 18,000 gallons of water. The pool is 40% full. How many more gallons are needed to fill the pool?
Answer:
Since 40% of 18,000 gallons is 7,200 gallons filled up, then 18,000-7,200 gallons= 10,800 gallons left to fill up the poolStep-by-step explanation:
40% of 18,000 gallons means
40 x 180= 7,200 gallons
18,000-7,200 gallons= 10,800 gallons
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
f(x) = 2x^2 − 6x + 3 for x = −1
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
Will Give Brainliest if Correct
Answer:
35
Step-by-step explanation:
Law of cosines
c^2=a^2+b^2-2ab(cos(A))
14^2=11^2+8^2-2(11)(8)Cos(A)
A=93.5833
Law of Sines
Sin(A)/a=Sin(B)/a
Sin(93.5833)/11=Sin(B)/8
B=34.7719