Answer:
[tex]Probability = \frac{1}{792}[/tex]
Step-by-step explanation:
Given
[tex]Questions = 12[/tex]
[tex]Selection = 5[/tex]
Required
Probability of grading the selected 5 by Andrew
First, we need to determine the total number of selections.
This is calculated as: [tex]^{12}C_{5}[/tex]
Solving further:
[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]
[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_{5} = \frac{95040}{120}[/tex]
[tex]^{12}C_{5} =792[/tex]
There is only 1 for Andrew's question selection.
So, the required probability is:
[tex]Probability = \frac{1}{792}[/tex]
In a survey of school students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three courses. Find how many had taken one course only by using Venn diagram.
Answer:
106
Step-by-step explanation:
From the information given :
Let:
Mathematics = M
Physics = P
Chemistry = C
n(M) = 64 ; n(C) = 94 ; n(P) = 58
All three (n(MnCnP) = 14
Kindly check attached picture for clearer explanation :
Number of students who took only one subject :
(24 + 22 + 60) = 106
Write the following inequality in slope-intercept form: 4x – 2y < 10
Answer:
y>2x-5
Step-by-step explanation:
-2y+4x<10
-2y<10-4x
divide by -2 to isolate the y
y>-5+2x
Since we are dividing by a negative the sign flips.
Our final answer is y>2x-5
how do I find 2/3 of 12 slices of pizza eaten
Multiply 12 slices by 2/3:
12 x 2/3 = (12 x 2) /3 = 24/3 = 8
The answer is 8
Answer:
8
Step-by-step explanation:
12/3 = 4
4*2=8
Sam knows that he can read 17 pages of his book in 30 minutes he needs to finish his book in 1 1/2 hours will he be able to finish his book in time if he still needs to read 50 more pages
Answer:
Yes
Step-by-step explanation:
17 pages in 30 minutes is 51 pages in 90 minutes. He needs 50 more pages in 90 minutes so he will be able to finish his book.
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
Xavier is half as old as Jessica. The sum of their ages is 63. How old is Jessica? (
Answer:
31.5
Step-by-step explanation:
Answer:
let their age be x and y
x=y.......1st equation
2
now,
product of their age
x+y=63
y +y=63 (putting the value of x=y/2)
2
3y =126
y=126
3
y=42
hence,
age of jessica is y =42.
plz help me i did it but messed up some ware plz help . 5x5=4x5+9=
Answer: 25=29
Step-by-step explanation:5x5=25
4x5+9=29
Answer:
Need brainliest
Step-by-step explanation:
If z varies inversely as x^2, and z = 9 when x = 2/3, find z when x = 5/4
Answer:
Step-by-step explanation:
z varies inversely
so z=a/x^2
9=a/(2/3)^2
9=a/(4/9)
9=9a/4
a=4
z=4/x^2
z=4/(5/4)^2
z=4/(25/16)
z=64/25
If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
z varies inversely as x². Let k represent the constant of proportionality, hence:
z = k/x²
z = 9 when x = 2/3, hence:
9 = k / (2/3)²
k = 4
z = 4/x²
When x = 5/4:
z = 4 / (5/4)²
z = 2.56
If z varies inversely as x², it is given by the equation z = 4/x². When x = 5/4, z = 2.56
Find out more on equation at: https://brainly.com/question/2972832
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which decimal is less than 0.8 and greater than 0.02
A.0.81
B.0.46
C.0.86
D.0.006
Answer:
The decimal is 0.46
Step-by-step explanation:
Given
Less than 0.8
Greater than 0.02
Required
Determine the decimal
Let the decimal be x
Such that:
[tex]x < 0.8[/tex] and [tex]x > 0.02[/tex]
Rewrite as:
[tex]x > 0.02[/tex] and [tex]x < 0.8[/tex]
Rewrite as:
[tex]0.02 < x[/tex] and [tex]x < 0.8[/tex]
This can be merged to give:
[tex]0.02 < x<0.8[/tex]
From the list of given options, only 0.46 fall in this range because:
[tex]0.02 < 0.46<0.8[/tex]
So:
[tex]x = 0.46[/tex]
Round to the nearest whole number: 123.45
Answer:
123
Step-by-step explanation:
because if its lower than 50 you round down, if its 50 or above you round up
Answer:
If you like to round 123.45 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post. Number:.
Step-by-step explanation:
Danielle makes the claim that when the polynomial x^2-3x-10 is divided by x-5, the remainder is 0. Use what you have learned about dividing polynomials to either verify that Danielle is correct or prove that she is incorrect. What arguments would you use to support your claim
Answer:
Daniel is correctStep-by-step explanation:
Given the polynomial P(x) = x^2-3x-10
To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;
x - 5 = 0
x = 5
Then find P(5)
P(5) = 5^2 - 3(5) - 10
P(5) = 25 - 15 - 10
P(5) = 25-25
P(5) = 0
This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem
What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm
Answer:
C = 62.8 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Circumference Formula: C = 2πrStep-by-step explanation:
Step 1: Define
r = 10 cm
Step 2: Find C
Substitute [CF]: C = 2π(10 cm)Multiply: C = 20π cmMultiply: C = 62.8 cmAnswer:
62.8
Step-by-step explanation:
Radius is 10, so the diameter is 20 (10x2)
20 x 3.14(pi)= 62.8
58 POINTS PLEASE HELP ASAP
Question 3 (4 points)
(02.06)
The figure below shows parallel lines cut by a transversal:
A pair of parallel lines is shown, cut by a transversal. Angle 7 is located in the upper right exterior corner on the top line, and angle 8 is located in the upper left exterior corner of the top line.
Which statement is true about ∠7 and ∠8? (4 points)
Question 3 options:
1)
∠7 and ∠8 are supplementary because they are a pair of corresponding angles.
2)
∠7 and ∠8 are complementary because they are a pair of adjacent angles on a straight line.
3)
∠7 and ∠8 are congruent because they are a pair of adjacent angles on a straight line.
4)
∠7 and ∠8 are supplementary because they are a pair of adjacent angles that form a straight line.
Answer:
4)
Step-by-step explanation:
Answer:
It's 4
Step-by-step explanation:
Is -9/4 rational. Please I need this now the thing said 20 characters long so I’m just gonna type. The best answer gets brainliest ig
Answer:
no -9/4 is irrational
Step-by-step explanation:
vacsusvvsjshsvsh plz give brainliest
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE
Step-by-step explanation:
lets radius be r and height be h,
r+h=21 -----(1)
curved surface area
2×pi×r×h=616 -----(2)
use simultaneous eqn to solve for r and h.
total surface area of cylinder= 2×pi×r×h + 2×pi×r²
= ans if im not wrong
What is the decimal equivalent of 3 over 9?
a. 0 point 2 bar.
b. 0 point 3 bar.
c. 0 point 4 bar.
d.0 point 5 bar.
Answer:
the answer is b)0.3.......
Answer:
Concept: Conversions
[tex] \frac{3}{9} = \frac{1}{3} = 0.33[/tex]Give Brainlistyou roll a single die numbered from 1 to 6 twice. what is the probability of rolling a 6 the first time and an odd number second
Answer:
1/12
Step-by-step explanation:
Since the two rolls are independent, then the chance of getting a 6 in the first and an odd number in the second is obtained by multiplying the two probabilities.
1/6 is the probability of rolling 6, 1/2 is the probability of rolling an odd number
1/6 times 1/2 is 1/12
Express each ratio as a fraction in its simplest form 6 minutes to 1 hour
Answer:
1:10
Step-by-step explanation:
1 hour is 60 minutes, so the ratio is 6:60.
To simplify, divide both sides by 6.
Thus, you get:
1:10.
Is the equation y=4x+1 proportional? *
Yes
No
Answer:
No
Step-by-step explanation:
y = 4x + 1 is not a direct variation. Direct variations have the form y = kx. So y = 4x would be a direct variation (k=4), but not y = 4x+1
A large pizza at a restaurant has the dimensions shown. Find the area of the pizza. Use4 for T. 14 in. 22 Why does it make sense to use as the estimate for T? Explain your reasoning. PLEASE HELP
Joseph uses 1/5
cup of bananas for every
4/5 cup of apples to make a smoothie.
Enter the number of cups of bananas Joseph uses for 1 cup of apples.
Answer:5/5
Step-by-step explanation:
What is the y-intercept of a line that has a slope of —3 and passes through point (0, -7)?
_7
-3
0
4
Answer:
-7
Step-by-step explanation:
well, y-intercept is value of y when x = 0.
from the problem, we already have the answer, it is -7
but more detailed way is
m = -3
[tex] \frac{y - ( - 7)}{x - 0} = - 3 \\ y - ( - 7) = - 3x \\ y = - 3x - 7 \\ [/tex]
y-intercept is value of y when x = 0
[tex]y = - 3(0) - 7 \\ y = - 7[/tex]
(2 to the power -1 ÷ 5 to the power- 1)2 × -5/8 to the power -1
Answer:
-8
Step-by-step explanation
2 to the power of -1 = 0.5
5 to the power of -1 = 0.2
0.5/0.2 = 2.5
So,
(2.5)2 x -5/8 to the power of -1
-5/8 = -0.625
-0.625 to the power of -1 = -1.6
So,
(2.5)2 x -0.625
5 x -0.625
= -8
Answer:
-8
Step-by-step explanation:
(2^-1 ÷ 5^-1) = 5/2
(5/2) x 2 = 10/2 or 5
-5/8 ^-1 = - 8/5
5 x - 8/5 = -40/5 or -8
Hope its helpful ☺️
Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!
Answer:
Choice c. [tex]\sqrt{12}[/tex]
Step-by-step explanation:
Vectors
Suppose we have a vector v defined as
[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]
The magnitude of the vector is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]
On the other hand, the dot product of the vector by itself is:
[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]
Note the relation between these two operations is:
[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]
Since we are given:
[tex]\vec v\cdot\vec v=12[/tex], then:
[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]
Choice c) [tex]\sqrt{12}[/tex]
what's 4 ÷ 9 and 9 ÷ 4 write each quotient as either a fraction or mixed number help me
4. A line with a slope of -2 passes
through the point (3,-1). Which of
the following is the equation of
the line?
O y = 3x – 2
O y= -4x – 2
O y = -2x + 5
O y=-2x + 1
Answer:
y=-2x+5..…...........
8x - 2(x - 5) = x + 25
A.
x= 3
B.
X= 4
C.
x = 6
D. X= 7
Answer:
A
Step-by-step explanation:
8x-2x+10=x+25
6x+10= x +25
6x-x=25-10
5x=15
x=3
Olivia is going to invest $32,000 and leave it in an account for 15 years. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Olivia to end up with $80,000?
Answer:
6.12
Step-by-step explanation:
nine divide by the quantity x plus y
7(x + 9 ) - x
Explanation:
the quantity x plus 9 is written x + 9 , plus meaning add.
times the quantity means multiply the quantity x + 9 multiplied by 7
this is written 7(x + 9 )
finally minus x means subtract x
putting it all 'together' we get 7(x + 9 ) - x
Estimate the number of pieces Sharon will have if she divides 15 1/3 yards of fabric into 4 4/5 yard lengths.
Answer:
about 3 of them
Step-by-step explanation:
15 1/3 divided by 4 4/5 = 3 7/36
7th grade math help me please
Answer:
27-t times 3
27- 6 times 3
27-18
9