Answer:
63.64%
Step-by-step explanation:
Let P(M) be the percentage of students enrolled in a mathematics course
Let P(C) be the percentage of students enrolled in a Computer Science (CS) course.
We are told that One-fifth of those taking a mathematics course arealso taking a computer science course.
Thus, we can write that as:
P(M|C) = 1/5,
We are also told that one-seventh of those taking a computer science course are also taking a mathematics course.
Thus, we can write it as;
P(C|M) = 1/7
According to sets notations, P(M ∩ C) will be the probability that any student is enrolled in both Maths and Computer Science.
Thus;
P(M ∩ C) = P(M|C)P(C) = (1/5)P(C)
Also,
P(M ∩ C) = P(C|M)P(M) = (1/7)P(M)
Equating them, we have;
(1/5)P(C) = (1/7)P(M)
P(C) = (5/7)P(M)
Now; P(M U C) = 1
Let's express out P(M U C)
P(M U C) = P(M) + P(C) - P(M ∩ C) = P(M) + (5/7)P(M) - (1/7)P(M) = (11/7)P(M)
1 = (11/7)P(M)
P(M) = 7/11 = 0.6364 or 63.64%
HELP ITS TIMED
5(-2x-4)-2x+2=-425(−2x−4)−2x+2=−42
Answer: x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(−2x−4)−2x+2=−42
(5)(−2x)+(5)(−4)+−2x+2=−42(Distribute)
−10x+−20+−2x+2=−42
(−10x+−2x)+(−20+2)=−42(Combine Like Terms)
−12x+−18=−42
−12x−18=−42
Step 2: Add 18 to both sides.
−12x−18+18=−42+18
−12x=−24
Step 3: Divide both sides by -12.
-12x/-12=-24/-12
x=2
Answer:
×=2
Step-by-step explanation:
distribution of the 5 and the -425 than bring all the "x" to one side than divide by the number next to the x on both sides
HELPP it’s due today!!! I’ll give brainlist!!!
Answer:
Step-by-step explanation:
6th grade math Please help
Answer:
17, no remainders.
Step-by-step explanation:
Six more than the product of seven and a number is 55.
Which equation and solution correctly represent this sentence?
Answer:
49
Step-by-step explanation:
Let the product of seven be x,
55 = x + 6
x = 55 - 6
∴x = 49
Answer:
1/12
Step-by-step explanation:
trustt
Is there a difference between 2x+3 and 3+2x?
Answer:
no
Step-by-step explanation:
its just set up different
Answer:
No
Step-by-step explanation:
Commutative property of addition
Convert repeating decimal 9.81 to a fraction
Answer:
981/100
Step-by-step explanation
step: 9.81= 9.81/1
step 2 multiply both too and bottom by 10
9.81/1 = (9.81*100)/(1*100)= 981/100
thus 981/100 is also equal to 9 81/100
Which accurately represents these building blocks of matter from the smallest to the largest? atom → molecule or compound molecule → atom → element compound → molecule → element molecule → atom or element
Answer:
Atom-Molecule or compound
Step-by-step explanation:
I know the answer to this because I went to a NASA space camp And I learned about this.
Answer:
a
Step-by-step explanation:
a
From a batch in which 20 parts are without defects and 4 - with defects, 4 parts are taken at random. What is the probability that: 1) all 4 parts without defects 2) 3 without defects and 1 part with defects 3) at least 2 - with defects
Answer:
20+4=24=12=6=3
therefore the answer is three defect
A number is multiplied by 5. If 1 is added to
the product, you get 6. What is the number?
Answer:
1
Step-by-step explanation:
The number is
1 x 5 = 5
5 + 1 = 6
Answer:
The number is 1
Step-by-step explanation:
5x + 1 = 6
6 minus 1 = 5
1 minus 1 = 0
5x = 5
x = 1
hopefully this helps you :)
pls mark me brainlest ;)
(1/4 of 2 2/7) ÷ 3/5
Answer:
HUUYY
Step-by-step explanation:
14D
jar contains pink and green marbles in the ratio 3 : 4. When John replaces 5 of the green marbles with 8 pink marbles, the ratio becomes 29 : 23. The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is : .
Answer:
52:49
Step-by-step explanation:
pink:green
The ratio of pink to green marbles is
3k:4k
He removes 5 green marbles and adds 8 pink marbles.
Now the ratio of pink to green marbles is
(3k + 8):(4k - 5)
This rario is equal to 29:23.
(3k + 8)/(4k - 5) = 29/23
29(4k - 5) = 23(3k + 8)
116k - 145 = 69k + 184
47k = 329
k = 7
Original amounts:
3 * k = 3 * 7 = 21 pink
4 * k = 4 * 7 = 28 green
Original total = 21 + 28 = 49
Amounts after replacement:
3k + 8 = 3(7) + 8 = 29 pink
4k - 5 = 4(7) - 5 = 23 green
Total after replacement = 23 + 29 = 52
Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.
Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32
Michelle is filling out a form and needs to enter her height in meters. She
knows that she is 145 centimeters tall. What value should she enter in the
form?
145,000 meters
1,450 meters
1.45 meters
0.145 meters
Answer the question below. Type your response in the
space provided
AB is perpendicular to CO. How many 90° angles are formed by
the intersection?
Done
Clear
Answer:
4
Step-by-step explanation:
If you have 2 lines inter secting you have 4 corners. All these corners are congruent(they are the same). This means if one is 90 they all are 90.
I got this wrong I need help please
No, the piecewise graph is NOT a function because it does NOT pass the vertical line test.
The vertical line test is where we try to pass a line through more than one point on the curve. If it is not possible to do this, then the graph is said to "pass the vertical line test".
In this case, the given graph fails the vertical line test. Look at something like x = -2. We can draw a vertical line through here to pass through more than one point. One point is on the upside-down V shape, and the other point is on the parabolic shape. Plugging x = -2 into this leads to more than one y outputs.
A function is only possible if any valid x input (from the domain) leads to exactly one output y value (in the range).
Find k so that the distance from (-3,-1) to (k, 5) is 10 units.
Answer:
k = - 11, 5
Step-by-step explanation:
By distance formula:
[tex] \sqrt{ \{ {k - ( - 3) \}}^{2} + \{5 - ( - 1) \}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(5 + 1)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + {(6)}^{2} } = 10 \\ \\ \sqrt{ {(k + 3)}^{2} + 36 } = 10 \\ \\ (k + 3)^{2} + 36 = {10}^{2} \\ ..(squaring \: both \: sides) \\ {k}^{2} + 6k + 9 + 36 = 100 \\ {k}^{2} + 6k + 45 - 100 = 0 \\ {k}^{2} + 6k - 55 = 0 \\ {k}^{2} + 11k - 5k - 55 = 0 \\ k(k + 11) - 5(k + 11) = 0 \\ (k + 11)(k - 5) = 0 \\ k + 11 = 0 \: or \: k - 5 = 0 \\ k = - 11 \: or \: k = 5 \\ \\ \huge \red { \boxed{k = \{ - 11, \: 5\}}}[/tex]
Choose the answer that best translate algebraic expression below.
2(x+5)
A) twice the sum of a number and 5
B) 2 times the difference of a number and 5
C) 5 more than twice a number
D) 5 less than 2 times a number
Answer:
A
Step-by-step explanation:
anything in parenthesis will be multiplied by the number on the outside only if it has no expression between that number and the parenthesis, therefore 2 will multiply X and 5
The art form created by using points is *
Answer:
Pointillism
Step-by-step explanation:
pls answer fast (3/7÷1/2) ÷ 7/8
Answer:
[tex]\frac{48}{49}[/tex]
Step-by-step explanation:
(3/7÷1/2) ÷ 7/8
[tex](\frac{3}{7} : \frac{1}{2} ) : \frac{7}{8} \\\frac{6}{7} : \frac{7}{8} \\\frac{48}{49}[/tex]
Is 2 tens 3 tenths 1 thousandth greater than, less than, or equal to 20.31?
Answer:
less than
Step-by-step explanation:
2 tens = 20
3 tenths = .3
1 thousandth = .001
put it together = 20.301
20.301 < 20.31
less than
6+ (-4 3/4) + (-2 1/8)
Answer:
[tex] - 7.375[/tex]
Step-by-step explanation:
43/4=10.75
21/8=2.625
6-10.75= -4.75
-4.75-2.625= -7.375
Can you help me please? I would appreciate it ❤️❤️
36 divided by 6+(18-6x2)
Answer:
12.
Step-by-step explanation:
This equation seems to want you to use the Order of Operations, a.k.a PEMDAS (which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). When you do a problem like this, you use the Order of Operations to figure out the order in which you'd solve your problem.
You would first solve what is in parentheses, since that is the first letter in PEMDAS. 18-6x2 is what we have in our parentheses, but it's too confusing to be solved yet. The next letter is E, a.k.a exponents, but there are no exponents in this equation, so we move on. Next is M, Multiplication. We would multiply 6 by 2, which gives us 12. Moving on, we have D, Division. We would do 36/6, which is 6.
Our 5th letter is A, Addition. We would have to add our 6 to (18-12), but that couldn't work, since our 18-12 is still in parentheses, and those come first. So, we would skip to the last letter, S, Subtraction. 18-12=6, and since we solved all the problems in the parentheses, we remove them, and add both 6's together, giving us 12.
Which of the following equations is equivalent to S = pi r squared h? h = uppercase S minus pi r squared h = StartFraction uppercase S Over pi r squared EndFraction h = StartFraction pi r squared Over uppercase S EndFraction h = uppercase S + pi r squared
Answer:
h = S - pie r ^2
Step-by-step explanation:
A on edge
The equation equivalent to : S = pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
We have - S = pi r squared h
We have to find which equation is same as S = pi r squared h
What is the volume of Cylinder of radius [tex]r[/tex] and height [tex]h[/tex]?The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -
[tex]\pi r^{2}h[/tex]
which is same as -
pi r squared h
when written in word format.
Let Suppose -
[tex]S=\pi r^{2} h[/tex]
which can be written in terms of height [tex]h[/tex] as -
[tex]h=\frac{S}{\pi r^{2} }[/tex]
Now, if we write the above equation in word format, we get -
h = StartFraction uppercase S over pi r squared EndFunction
Therefore, the equation equivalent to pi r squared h is -
h = StartFraction uppercase S over pi r squared EndFunction
To solve more questions on equivalent expressions, visit the following link -
https://brainly.com/question/27915224
#SPJ6
Karlie ate lunch with her friends at Chuy's. They had a delicious meal that 20 cost $62. If the sales tax rate is 8.25% what is the amount of sales tax they had to pay? ROUND YOUR ANSWER * O $5.12 O $6.76 O $5.27 O $51.20
Answer:
tax = 5.12
Step-by-step explanation:
given:
tax rate = 8.25 = 8.25/100 = .0825
meal cost = $62
find:
what is the amount of sales tax they had to pay
tax = $62 x 0.0825
tax = 5.12
In the relationship below, the color of the circle changes according to the
height of the rectangle. Which expression below is the best choice to
describe this relationship in function notation?
A. H (c)
B. R (h)
C. C (h)
The coefficient in the expression -x - 10 is
Answer: I think the coefficient is -x
Step-by-step explanation:
A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.
The expression is -x-10. If we go back to the definition, the coefficient combined to the variable is -1.
A variable like the 'x' in this expression can also be written as 1x.
So the answer is -1.
Hope it helps!
What is 1 whole and 5/8 as a decimal
Answer:
1 whole and 5/8 as a decimal is 1.625
You have 30 associates , 2 are not on the production floor. Each can process 150 UPH; Each works 8 hr days, 5 days week; each day each worker is given 2 15 min breaks. How many units can they output per
Answer:
16716p
Step-by-step explanation:
28 x 150 x ( 5 x 8 ) - 30
if 4% of packages get lost in the mall, then which DECIMAL best represents the amount of packages lost in the mall?
Answer:
0.04
Step-by-step explanation:
We know that 4% of packages are lost in the mail, but we want to know the decimal.
We must convert 4% to a decimal. There are 2 ways to do this.
1.
Remove percent sign and divide by 100.
4%
4
4/100
0.04
2.
Remove percent sign and move decimal place two spots to the left.
4%
4 = 4.0
4.0 --> 0.4 --> 0.04
0.04 of the packages are lost in the mail.
