The probability that a randomly selected camper likes to have a cookout or swimming, but not both, is 0.10.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
The Venn diagram displays the campers’ preferences.
One circle is labeled S, 0.06,
the other circle is labeled C, 0.04,
the shared area is labeled 0.89,
and the outside area is labeled 0.01.
The probability that a randomly selected camper likes to have a cookout or swimming, but not both,
= 0.06 + 0.04
= 0.10
Therefore, 0.10 is the required probability.
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50% of 25% of the number is 96
Answer:
if I'm supposed to find the number it is 768
Step-by-step explanation:
double 96 which equals 192 then multiply that times 4 which is 768
The 50% of 25% of the number 96 will be equal to 12.
What is percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 96 and the value of 50% of 25% of 96 will be calculated as,
P = 50% x 25% x 96
P = 0.5 x 0.25 x 96
P = 12
Therefore, 50% of 25% of the number 96 will be equal to 12.
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Corey bought 56 boxes of tiles from the Home Improvement store which was 4/7 of the total number of boxes that they had how many boxes of tiles does a store have
Answer:
a store haves 98 boxes of tiles
The semiannual tuition payment at a major university is expected to be $30,000 for the 4 years beginning 18 years from now. What lump sum payment should the university accept now, in lieu of tuition payments beginning 18 years, 6 months from now? Assume that money is worth 6%, compounded semiannually, and that tuition is paid at the end of each half-year for 4 years. (Round your answer to the nearest cent.)
Answer:
$49,216.78
Step-by-step explanation:
A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k
A = Present value of deferred annuity
R = Payment at the end of period
R = 30,000
i = 0.06 / 2
n = (4)*2 = 8
k = deferred period, (18)*(2) = 36
A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36
A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36
A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185
A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185
A(n,k) = 30,000*6.732744875*0.24366872185
A(n,k) = 49216.78014700164
A(n,k) = $49,216.78
So the lump sum payment that the university accept now is $49,216.78
Need help finding the missing angle measure
Answer:
125
Step-by-step explanation:
(n-2)180
(6-2)180
=720
720-120-110-100-130-135
=125
Answer:
Step-by-step explanation:
It is a six sided figure sum of all angles should be 720 degree.
595 +x=720
x=720-595
x=125 degree
Another method
Sum of interior angles of a polygon is
= (n-2)×180=(6-2)×180= 720 degree
THIS IS SUPER EASY PLEASE HELP!
A rectangle is 7 meters longer than it is wide. If the area is 84 square meters, find the dimensions of the rectangle.
Answer:
w=38.5
l=45.5
Step-by-step explanation:
I'm not sure but I hope this helps! *You may want to check my math*
I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.
Use the picture in the diagram 2
Answer:
4
Step-by-step explanation:
4
Emma and her children went into a restaurant where they sell hotdogs for $4 each and drinks for $1.50 each. Emma has $30 to spend and must buy no less than 9 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
6 hotdogs and 4 drinks
Step-by-step explanation:
4x + 1.50y = 30
For questions like this, you can do the equation that represents the price of the products first.
x + y [tex]\geq[/tex] 9
After that, you can write the equation that represents the quantities.
Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:
The first equation:
4x + 1.50y =30
*Subtract 4x from both sides, which leads to:
1.50 y = -4x + 30
*Divide by 1.50 on both sides, which leads to:
y = -2.66x + 20
The second equation:
x + y [tex]\geq[/tex] 9
*Subtract x from both sides, which leads to:
y [tex]\geq[/tex] -1x + 9
Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.
Here is the graph: (it is attached as a file)
You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.
Answer:
[tex]y\geq 9-x[/tex] shaded up
[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down
4 hotdogs, 8 drinks
Step-by-step explanation:
alyssa does jumping jacks in her spare time she does 300 jumping jacks on 2.5 minutes how many jumpin jacks can she do per minute?
what is the slope of the line represented by the equation y equals negative 1 / 2 x + 1 / 4
Answer:
1/2
Step-by-step explanation:
just because it is
Help me please hurry up
2-[ 9 --[17:13]13
-2 07
08
13. What is B-CF?
-E-1
23 6.5
A.
- 11.4 44
-21 1.5
B.
12 -41]
26 8 -37
C.-7.4 51 56
25 -6 10
-19 6.5
D.
-6 -38]
Sarah wants to buy a new pair of sandals. The sandals are $45 and she has a coupon for 30% off. What is the price of her sandles after the discount?
Answer:
$31.5
Step-by-step explanation:
-$45
-30 percent off of $45
30 times 45 divided by 100
1350/100
13.5
45-13.5
$31.5
If your car gets 34 miles per gallon, how much does it cost to drive 370 miles when gasoline costs $3.30 per gallon?
The cost is $
nothing.
(Simplify your answer. Round to the nearest cent as needed.)
Answer:
15
Step-by-step explanation:
The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
Answer:
Length of the side of a square is 18 sqrt(2)
Step-by-step explanation:
a and b are the sides of square and c is the diagonal.
a^2+b^2=c^2
a^2+b^2= 36^2
As all sides are equal we can take b=a
2a^2=36^2
a^2= (36×36)/2
a^2 = 18×36 = 2×9×9×4
Taking squareroot on both sides we get
a= sqrt(2×9×9×2×2)
a=18 sqrt(2)
What is the probability of obtaining two heads in a row when flipping a coin?
Answer:
0.25000
Step-by-step explanation:
What is 4.207 as a percent help me pls
Answer:
420.7%
Step-by-step explanation:
what is the inverse operation of add 5 ?
Answer:
Step-by-step explanation:
Subtract 5
Answer:
Example: Addition and subtraction are inverse operations
Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?
Answer:
Sawyer has to pay $10 each week to pay his mom back
Step-by-step explanation:
Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.
The remaining $30 will be covered by his mom, given he pays the money back in three weeks.
If he pays the same amount each week, then each week he should pay $30 / 3 = $10
Sawyer has to pay $10 each week to pay his mom back
please help
4x-8 by 4 is ???
Complete each congruent statement by naming the corresponding angle or side.
Answer:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
Step-by-step explanation:
From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:
<XWV ≅ <XJL
<LXJ ≅ <VXW
LJ ≅ VW
XW ≅ XJ
half of the quantity of 6 less than a number f is 4
Answer:
I believe 10
Step-by-step explanation:
the reason I believe it is 10 is because that is the main mathematical explanation for this equation
Solve the equation. 10 - 6v = -104
10 - 6v = -104
-6v = -104 - 10
-6v = -114
6v = 114
v = 114/6
v = 57/3
v = 19
please help me asap
Answer:
3)7/12
4)2*14/25
5)25
hope my effort will help you in some way
Answer:
Step-by-step explanation:
3) [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3
[tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]
4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]
[tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]
5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]
= 5 * 5
= 25
please help jjjsjssioaozkzksnsnsns
is this right, be fr please
Answer:
1. yes
2.yes
Step-by-step explanation: you did the math right good
Miguel divided 205 oranges evenly into 5 boxes. How many oranges were in each box?
Answer:
41
Step-by-step explanation:
205 divided by 5=41
Answer:
The Answer is 41 oranges in each box
Adding and subtracting fractions show the working and answer
Answer:
1) 1/2
2)7/10
3)11/12
4)4/96
5)43/30
6)5/40
I will do one only. You gotta do your own homework.
Triangle A (1, 1), B (4, 4), C (6, 2) is
Answer:
Is a obtuse triangle
Step-by-step explanation:
Anyone know this???
================================================
Explanation:
To shift f(x) to the right three units, we need to replace every x with x-3
f(x) = (x+2)^2 + 1
f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3
f(x-3) = (x-1)^2 + 1
g(x) = (x-1)^2 + 1
The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).
What is the slope of the line that crosses points (6, 9) and (10, 11)
[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]
Answer:
2/4 or 1/2
Step-by-step explanation:
slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.
y-axis is the rise because it goes up and down
x-axis is the run because it's horizontal
rise/run= 2/4= 1/2 because you always simplify.