Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
Total students with no cell phone = 57 + 11 = 68Total students with no tablet = 19 + 11 = 30To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone minus students with a cell phone but no tablet
⇒ 32 - 19 = 13
Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?
12 in all:
{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}
Answer:
Step-by-step explanation:
please help I am confused
Answer:
Step-by-step explanation:
Let's check the transformation from C(1,3) to C'(5,2).
(1) C(1,3) would become C'(2,-1), which is wrong.
(2) You can eliminate this, as the image and preimage are in the same quadrant.
(3) You can eliminate this, as the image and preimage are in the same quadrant.
(4) C(1,3) would become C'(5,2), which is correct.
If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?
Answer:
0.40 is your answer
Step-by-step explanation:
0 .40 is your answer
Make x the subject a(x-a)=a^2
Answer:
x = 2a
Step-by-step explanation:
a(x - a) = a² ( divide both sides by a )
x - a = a ( add a to both sides )
x = 2a
Answer:
x = 2a
Step-by-step explanation:
Given equation
[tex]\sf a(x-a)=a^2[/tex]
Make x the subject
expand brackets:
[tex]\sf \implies ax-a^2=a^2[/tex]
Add [tex]\sf a^2[/tex] to both sides:
[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]
[tex]\sf \implies ax=2a^2[/tex]
Divide both sides by a:
[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]
[tex]\sf \implies x=2a[/tex]
Final solution
[tex]\sf x=2a[/tex]
Find the area of this trapezoid Dimensions are in meters
Answer:
42 meters squared
Step-by-step explanation:
Lets split the trapezoid into 2 parts (6*5 and 2*6)
6*5+2*6
= 30+12
= 42
Answer:
36
Step-by-step explanation
5+7 = 12
12/2 = 6
6 * 6 = 36
formula = ((a+b)/2) * h
What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
The sales tax is $14 per
$100 What percent is the
sales tax? Show your
work.
NEED HELP ASAP PLEASE
Answer:
14%
Step-by-step explanation:
lets whip out that EPIC CALCULATOR! alright so i hope that you have your calculator with you, whether it is a physical one or a digital one on your computer.
try this:
enter 14, then the division sign ( could be a ÷ or an / ) and then 100.
what do we get?
0.14
ok, now lets multiply this by 100 to get the PERCENT instead of the DECIMAL, and we get
14%
EPIC!
Anyone know the answer
so the equation is 1 1/3 ÷ 1 2/5
simpilify it
4/3 ÷ 7/5
since its division, you want to make it multiplication to you switch the fractions around.
you get the equation 3/2 * 5/7
which is 15/14
that converted to a improper fraction is 1 1/14
answer: 1 1/14
Simplify.
2 × (3 – 1) + 3
Answer:
7
Step-by-step explanation:
do what is in the parenthesis first then multiply then add
Ash company reported sales of $580,000 for year 1, $630,000 for year 2, and $680,000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3??
Answer:
Year 2: 109.4%
Year 3: 118.9%
Step-by-step explanation:
Given;Ash company reported sales of $580,000 for year 1$630,000 for year 2, $680,000 for year 3.Now,
For the revenue trend percent for year 2
Year 2: $580,000 / $530,000 × 100 = 109.4%
For the revenue trend percent for year 3
Year 3: $630,000 / $530,000 × 100 = 118.9%
Thus, The answer is 109.4% and 118.9%.
-TheUnknownScientist 72
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
Answer:
4kg
Step-by-step explanation:
Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?
10÷40=4kg
Answer:
4km
Step-by-step explanation:
In circle o below, what is the measure of angle x, the angle formed by a tangent and the
diameter of the circle?
[tex]\sf\large\underline\purple{Answer:-}[/tex]
The measure of the angle x = 90°
[tex]\sf\large\underline\blue{Reason:-}[/tex]
Theorem Of Tangent:-
[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.
________________________________
Hope it helps you:)
Have a nice day..
Answer:
The value of angle is 90°
Step-by-step explanation:
Theorem:-
The tangent of a circle is perpendicular to the radius through the point of contactAnd we know , the value of angle formed by perpendicular is 90°
The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]
O f 2 0 0 0 0 small businesses surveyed, about 82%
said they employed women in some capacity.
Of the businesses that employed women, 19. 5%
employed no female supervisors, 50% employed
only one female supervisor, and the remainder
employed more than one female supervisor,
a How many of the businesses surveyed
employed no women?
b W hat proportion of businesses surveyed
employed exactly one female supervisor?
c W hat proportion of businesses surveyed
employed no female supervisors?
d Given that a particular firm employed women,
what is the probability that it employed at
least one female supervisor
Using proportions, it is found that the desired amounts are given as follows:
a) 360 businesses employeed no women.
b) 41% of the businesses surveyed employed exactly one female supervisor.
c) 15.58% of the businesses surveyed employed no female supervisors.
d) 80.5% probability that it employed at least one female supervisor.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
18% out of the 2000 businesses surveyed, hence:
n = 0.18 x 2000 = 360.
Item b:
50% out of 82%, hence:
p = 0.5(0.82) = 0.41.
41% of the businesses surveyed employed exactly one female supervisor.
Item c:
19% out of 82%, hence:
p = 0.19(0.82) = 0.1558.
15.58% of the businesses surveyed employed no female supervisors.
Item d:
100 - 19.5 = 80.5% probability that it employed at least one female supervisor.
More can be learned about proportions at https://brainly.com/question/24372153
Central school is hosting a Centrel has talent show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after first wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money select all that apply
Answer:
A,B,D,E
Step-by-step explanation:
yes
Will give brainly if right
Answer:
60.61
Step-by-step explanation:
the missing angle is 51 degrees
we can say sin74/x = sin51 / 49
now we just solve for x.
x = 60.61
The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?
Answer:
Rs. 22,080.
Step-by-step explanation:
Let the height be x m then the breadth is 3x and the length 5x m.
x * 3x * 5x = 960
15x^3 = 960
x^3 = 64
x = ∛ 64 = 4m.
Therefore the height is 4m, the breadth = 12 m and the length = 20m.
So the area of all the surfaces
= 2 * short wall + 2 * long wall + floor + ceiling
= 2 *4*12 + 2*4*20 + 12*20 + 12*20
= 96 + 160 + 240 + 240
= 736 m^2.
Cost plastering = 736 * 30 = Rs. 22,080
A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.
Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3
How many cards are in each pack? There are __ cards in each pack
Answer:
there are 52 cards in each pack
Answer:
52.
Step-by-step explanation:
A deck of cards have 52 cards.
AABC and AXYZ are similar. Find the missing side length.
Y
B.
6.
?
15
5
A
4
С
X
12
Z
(The triangles are not drawn to scale.)
Answer:
2
Step-by-step explanation:
As they are SIMILAR, they have a ratio!
15:5=3
So, the scale factor is 3 from triangle ABC to triangle XYZ
6/3=2
Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?
Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?
Answer:
9
Step-by-step explanation:
1.08 divided by 0.12 equals 9
SOMEONE HELP PLS, GIVING BRAINLIST TO ANYONE
Systems of equations by graphing
What would y = for this system?
Answer:
y = 0
Step-by-step explanation:
The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0What is the value of ice cream and coffee?
Answer:
ice cream 3
coffee 5
................
Answer:
coffee is $5 each and $3 for ice cream
Step-by-step explanation:
He wallow fire of 2011 burned 538,000 acres in eastern arizona. A. [2 pts] if one square mile is 640 acres, how many square miles did the fire burn?
The square miles that was burned if one square mile is 640 acres is 840.625 square miles.
What does division mean?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
How many square miles was burned?Square miles that was burned = 538,000 / 640 = 840.625 square miles
To learn more about division, please check: https://brainly.com/question/13281206
There are 840.625 square miles did the fire burn.
What is division?Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.
The wallow fire of 2011 burned 538,000 acres in eastern Arizona.
The area of square miles did the fire burned is;
[tex]\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles[/tex]
Hence, there are 840.625 square miles did the fire burn.
To learn more about division here:
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prove, using algebra, that the difference between the squares of consecutive odd numbers is always a multiple of 8.
lets 2n+1 be the smaller of the two odd numbers
Answer:
which of the variable in equation square of 9 is
Step-by-step explanation:
solution of the equation of 6 equals
why is thatPlease help me I AM BEGGING please
Answer:
218
Step-by-step explanation:
the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2
A^2 + 256 = 400
400 - 256 = 144
Square root of 144 is 12
Unknown side is 12
Find the area of the triangle:
16 x 12 = 192
192/2 = 96
The area is 96
Now find the area of the circle:
pi x the radius^2
The diameter is 20, so the radius is 10
Pi x 10^2 = 314
314 - 96 = 218
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answer:
Part A: X·8=Y
X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.
4·8=32
Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.
Step-by-step explanation:
Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.
Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.
How can the amount Alex will pay be found?The number of years for the loan = 10-year
The loan amount = $5,500
The number of years for the interest = 6 years
The monthly payment formula is presented as follows;
[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]
Which gives;
[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]
The amount Alex will pay upon graduation is $81.67 each monthLearn more about monthly payment on loan formula;
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