(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.
32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.
I NEED HELP OR I WILL GET A FAT F!!! What Is 6.38 times 5.2 rounded product to the nearest whole number!!!
Answer:
33.176
Step-by-step explanation:
help meeeeeeeeeeeee
2/3u. 4/2u².3=
Answer:
4u³
Step-by-step explanation:
2/3u × 4/2u² = 4/3u³
4/3u³ × 3/1 = 4u³
Answer:
4u³Step-by-step explanation:
[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to
pick two pieces of candy. If you reach into the box without looking, what is the
probability that you will pick a blue piece, not replace it an then a red piece of
candy?
solve the following system using substitution y=x^2+8x+12, y=-2x-13
Step-by-step explanation:
Given equations :-
y = x²+ 8x + 12y = 2x - 13Substitute (2) in (1) :-
2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4iHow many positive integers between 1000 and 9999 inclusive are divisible by 5 but not by 7?
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PLZ HURRY IM TIMED and no silly answers
Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container?
StartFraction x over 5 EndFraction = 8.5; x = 1.7 ounces
StartFraction x over 5 EndFraction = 8.5; x = 42.5 ounces
5 x = 8.5; x = 1.7 ounces
5 x = 8.5; x = 42.5 ounces
Step-by-step explanation:
I would say 5 x= 8.5; x = 42.5 ounces that's my guess
The coordinates of the vertices of quadrilateral ABCD are A(0,4), B(4,2), C(2, -1), and D(-2,1). Jorge states that quadrilateral ABCD is a parallelogram. Prove or disprove Jorge's statement. ( Will Mark Brainliest and Please Do Not Repost Someone Else's Answer on here from brainly or any other websites.
Answer: Parallelogram
Step-by-step explanation:
Yes , a parelogram will come out ; and it can be proved by the Pythagorean theorem by completing the parallelogram to a rectangle
(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x = 2. The graph of g(x) is blue.
Let h(x) = f(g(x)). Find
A. h'(1) =
B. h'(2) =
C. h'(3) =
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Start by calculating the equations of f(x) and g(x)
Graph f(x)
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]
[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]
Graph g(x)
The slope of g(x) is: -1/2
So, the equation is:
[tex]\mathbf{g(x) = -\frac 12x}[/tex]
For x = 1 and x = 2, we have:
So, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]
Open brackets
[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]
So:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]
[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]
For x = 3, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]
[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]
Substitute 3 for x
[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
Hence, the values of the derivatives are:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
Read more about graphed functions at:
https://brainly.com/question/11804653
hi I was just a little bit of time with my module and I didn't know what is answer of the module now please please be sure of the answer please I want to know the answer please can I
1. 5 x 4 = A. 20
2.
[tex] \frac{2}{5} \times 25 = 2 \times 5 = 10[/tex]
the answer is D. 25
3.
[tex] \frac{3}{5} \div 15 = \frac{3}{5} \times \frac{1}{15} = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25} [/tex]
the answer is A. 1/25
4.
[tex]4 \div \frac{1}{2} = 4 \times \frac{2}{1} = 8[/tex]
the answer is C. 8
5.
[tex]9 \div \frac{1}{3} = 9 \times \frac{3}{1} = 27[/tex]
the answer is D. 27
6.
[tex]20 \div \frac{1}{4} = 20 \times \frac{4}{1} = 80[/tex]
the answer is D. 80
7.
[tex] \frac{9}{10} \div \frac{1}{2} = \frac{9}{10} \times \frac{2}{1} = \frac{18}{10} = \frac{9}{5} = 1 \frac{4}{5} [/tex]
the answer is C. 1 4/5
8.
[tex]9 \div \frac{3}{2} = 9 \times \frac{2}{3} = \frac{18}{ 3} = 6[/tex]
the answer is B. 6
9.
[tex] \frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3} = 2[/tex]
the answer is A. 2
Calvert Math assinment
Answer:
I dont understand ur question
Which equation is true when the value of "y" is 3 ? PLEASE HELP. NO LINKS! A: 2y -3 =6
B: 3y -2 =6
C: 11y +4 = 37
D: 4y +11 =37
Explanation:
If we replaced y with 3 in choice A, then we get
2y-3 = 6
2(3)-3 = 6
6-3 = 6
3 = 6
which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.
Choice C is the answer because,
11y+4 = 37
11(3)+4 = 37
33+4 = 37
37 = 37
which is true. This confirms choice C.
(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.
Answer:
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
Step-by-step explanation:
(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)
(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)
−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that:
[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]
Opening the brackets,
[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]
Opening the next brackets,
[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]
So,
[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]
Hence, the product is,
[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]
At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount of leftover cake. How much cake did each employee take home?
Answer:
3/20
Step-by-step explanation:
This is a division question.
The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.
When you divide fractions you have to flip the second number and multiply the two fractions.
So, you have to do 3/4 x 1/5 which is 3/20.
Thus, the answer is 3/20.
Good luck!
Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.
find the value of each of the following a) 6+14÷7_2×3
Answer:
48
Step-by-step explanation:
6 + 14 ÷ 7
= 8
= 8 _ 2× 3
= 8_ 6
=8×6
=48
I have more question then this
Answer:
A. A reflection over the x-axis
Answer:
this is A, a reflection over the x axis
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
What is the probability?
If you win what is your net profit?
Find the value?
Answer:
How old are you
Step-by-step explanation:
Does this graph represent a proportional relationship?
giving brainlist for correct
Answer:
No
Step-by-step explanation:
because it doesn't pass through the origin.
fifteen minutes past eight in the evening on a 24 hour clock
Answer: The time is 20:15 on a military time clock.
Step-by-step explanation:
What is the equation of the line that has a slope of 3 and a y-intercept of 2?
The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
What is the slope of 3x+4y=−2?
Answer:
subtract the 3x from one side and put in the other
4y = -3x -2
then divide both sides by 4
y= -3/4x -1/2
so the slope is-3/4
What’s the answer to this H(-3)=3/4(8x+2)-4.5
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
HELLPP!! Find the value of x that makes line m parallel to line n:
Answer:
x = 6
Step-by-step explanation:
Also need help with this question 4 x −5 =
Answer:
the equation is not completed
Answer:
-20
Step-by-step explanation:
Multiply 4x5 which is 20 but since 5 is negative then it's -20
Which of the following inequalities is represented by the number line?
Question 9 options:
A)
x ≥ 1
B)
x < 1
C)
x > 1
D)
x ≤ 1
Answer:
Step-by-step explanation:
x ≥ 1
Hope this helps!
close circle = ≥ or ≤
open circle = > or <
positive number = going to the right
negative number = going to the left
Marta made a fruit salad with 30 strawberries and 50 grapes. Assuming each strawberry contains 6 calories and each grape contains 3 calories, and that each of her 5 family members had an equal share of the fruit salad, how many calories did each person consume from the fruit?
66 calories
78 calories
144 calories
330 calories
Answer:
maybe it's d.
Step-by-step explanation:
because 30*6=180 and 50*3=150
so total of 330 as I observed
What is the value of the expression (2.75) (5.2)?
Answer:
14.3
Step-by-step explanation:
2.75 * 5.2=14.3
64 is 20% of what number?
Answer:
320
Step-by-step explanation:
64 by 5 equals 320
Answer:
320
Step-by-step explanation:
Divide 64 by 0.2
1/5×8 simplified =?!?!
Answer:
the answer is 1.6
Step-by-step explanation: