Answer:
1
Step-by-step explanation:
The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either strawberry or vanilla.
Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.
Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.
3 points) A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 13 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
Answer:
For the rectangular area, we will have a length L, and a width W, such that the two sides with measure L and one with measure W will be made with the material of $4 per ft, and the other side with measure W will be made with the material that costs $13 per ft.
Then the total cost will be:
C = (L + L + W)*$4 + W*$13.
And we know that the area is equal to 240 ft^2, then:
240ft^2 = L*W
To solve this, the first step is to isolate one of the variables in the second equation. I will isolate L:
L = (240ft^2)/W
Now we can replace this in the first equation to get:
C = ( 2*(240ft^2)/W + W)*$4 + W*$13.
C = $4*480ft^2/W + W*$17
Now we want to find the minimum of this function, then we need to look at the zero of the first derivative of C:
C' = - ($4*480 ft^2)/W + W*$17 = 0
- ($4*480 ft^2) + $17*W^2 = 0
Let's solve this for W:
$17*W^2 = ($4*480 ft^2)
W^2 = ($4*480 ft^2)/$17 = 112.94ft^2
W = √(112.94 ft^2) = 10.63 ft.
Then the width must be 10.64 ft, and the length can be obtained with the equation:
L*W = 240 ft^2
L*10.64 ft = 240 ft^2
L = (240 ft^2)/10.64ft = 22.56 ft
The width is 10.64 ft, and the length is 22.56 ft
A circle's circumference is 600 m.
What is a good approximation of the circle's area?
A. 300 m2
B. 3,000 m2
C. 30,000 m2
D. 300,000 m2
Answer:
i think its a but im not sure
3/4 into a percent and a decimal
Answer:
75% and .75
Step-by-step explanation:
HELP PLZZZ EASY AREA MATH
Answer:
4,400
Step-by-step explanation:
The government of Japan between World War I and World War II can best
be described as *
democratic
communist
militaristic
Nazi
Answer:
I believe communist just because or there influences in world war I and world war II they were on the communist side and part of the USSR at the time
Find the value of m.
Answer:
Step-by-step explanation:
x=2
a=1.25
m=3.75
tell me if u need any steps
a) (x + 7)(2x - 1)
b) (3x + 4)(x - 5)
c) (y + 9) (y + 4)
d) (b - 12)(b - 3)
please solve these i’m begging
Answer:
A.) [tex]2x^2 + 13x - 7[/tex]
B.) [tex]3x^2 - 11x - 20[/tex]
C.) [tex]y^2 + 13y + 36[/tex]
D.) [tex]b^2 - 15b + 36[/tex]
Step-by-step explanation:
For all of these you want to multiply the first thingy (Ex. x) in the first parenthesis by the first in the second parenthesis (Ex. 2x) plus the first one in the first (Ex. x) times the second one in the second (Ex. -1) plus the second one in the first one (Ex. 7) times the first one in the second parenthesis (Ex. 2x) plus the second one in the first parenthesis (Ex. 7) times the second one in the second (Ex. -1)
A.) (x + 7)(2x - 1) = (2x * x) + (-1 * x) + (7 * 2x) + (7 * -1) = 2x^2 -x + 14x - 7 = 2x^2 + 13x - 7
B.) (3x + 4)(x - 5) = (3x * x) + (3x * -5) + (4 * x) + (4 * -5) = 3x^2 - 15x + 4x - 20 = 3x^2 - 11x - 20
C.) (y + 9) (y + 4) = (y * y) + (4 * y) + (9 * y) + (9 * 4) = y^2 + 4y + 9y + 36 = y^2 + 13y + 36
D.) (b - 12)(b - 3) = (b * b) + (b * -3) + (-12 * b) + (-12 * -3) = b^2 - 3b - 12b + 36 = b^2 - 15b + 36
Select all that apply. Which of the following name an angle in the drawing? ACB CDE ECB BDA
Answer:
ecb and acb
Step-by-step explanation:
the measures of the angles of a triangle are shown in the figure below solve for x 46° 2x+20° 72°
Answer:
x = 21
Step-by-step explanation:
Add all the angles to get 138 + 2x = 180. Subtract 138 to get 2x = 42. x = 21
Answer:
x = 21
Step-by-step explanation:
Can I have brainliest?
Tomas collected 139 cans for recycling on Monday, and twice that number on Tuesday. How many cams did he collect on Tuesday
Answer:
278
Step-by-step explanation:
139x2=278
Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made. How much will the certificate be worth (to the nearest dollar) at the end of 7 years?
Answer:
FV= $2,041.29
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Number of periods (n)= 7 years
Interest rate (i)= 4.5% = 0.045
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,500*(1.045^7)
FV= $2,041.29
HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...
What values of x solve the equation f (x) = 1
Add, Subtract, or Multiply, as indicated.
(5x^2+3x-7)+(6x+7)
4x² when x = 5/6 and 1/2
(x2 - 3)(x2 + 12) = 0
Answer:
x=1.7320508075688772 or x=−1.7320508075688772
Step-by-step explanation:
(x2−3)(x2+12)=0
x4+9x2−36=0
(x2−3)(x2+12)=0
x2−3=0 or x2+12=0
x=1.7320508075688772 or x=−1.7320508075688772
Given the system of equations. What is the x-value in the solution?
8x+ 3y = 7
4x + 3y = 5
Answer
Take this decimal and express it in fraction and percentages.
.19
Answer:
0.19 = 19/100
19/100 = 19%
Step-by-step explanation:
take 0.19 x 100 = 19
that's where u get 19% and 19 over 100 from.
Answer:
0.19 = 19/100 = 19%
Step-by-step explanation:
1. Start with 0.19 (the given)
2. Read it out loud "19 hundredths"
3. Write down 19 out of 100 because that's what you said in the last step (if it were "0.3" you would write "3/10" because you read it as "three tenths"
4. Check if you can simplify. In this case you cannont
5. If the fraction is out of 100 (which in this case it is) simply write the numerator as the percent "19" is the numerator and it IS out of 100. You would write 19%
2865 students participated in a competitive exam. There were 60 rooms in the
university. Equal number of students were placed in each room. How many students
were not seated in any one of the rooms?
The circumference of a circle is 15 ft. find its area writing 3.14 for pi PLS
Answer:
17.9140127389 FT²
Step-by-step explanation:
Circumference is found using the formula 2πr.
15=2πr
r=15/(2*3.14)
r=2.38853503185
Area is found using the formula πr²
A= πr²
=3.14( 2.38853503185²)
=17.9140127389
Jill and Kyle get paid per project. Jill is paid a project fee of $35 plus $8 per hour. Kyle is paid a project fee of $20 plus $16 per hour. Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.
Answer:
The company will pay $43 project fee and $24 an hour.
Step-by-step explanation:
25 + 10h +18 + 14h
= 25+ 18 + 10h + 14h
=43 + 24h
1/2 + 34 + 2/3
What is the answer!?
Answer:
35 OR 35.1666666667
Step-by-step explanation:
Answer:
the answer rounded to the nearest hundredth is 35.17
Step-by-step explanation:
Guided Practice
1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)
Answer:
18.33
Step-by-step explanation:
600 -50 ÷ 30
550 ÷30 = 18.333
Can somebody please help me with this math problem please brainliest if your correct thanks picture is attached !!
Answer:
x = (3, 4)
(I'm assuming the missing sign in the picture is a negative (-))
Answer:
x={3, 4}
Step-by-step explanation:
that may answer po
1. Aubrey is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses up 0.75 gallons of gas. How much gas would be in the tank after driving for 6 hours? How much gas would be left after tt hours?
2. Find the sum of -8x^2+3 and -9x^2+3x-3−
3.Simplify the expression to a polynomial in standard form:
(-3x-5)(-x^2+x-5)
Answer:
See solutions below
Step-by-step explanation:
1) Total amount of gallons = 14 gallons
If she uses up 0.75 gallons of gas each hour then;
1 hour = 0.75gallons
after driving 6 hours, amount of gallons used will be;
6 hours = x
Divide both expressions
1/6 = 0.75/x
x = 6 * 0.75
x = 4.5gallons
Amount of gas left = 14 - 4.5 = 9.5 gallons of gas
Hence 9.5 gallons of gas will be left after 6 hrs
Similarly;
1 hour = 0.75gallons
after driving t hours, amount of gallons used will be;
t hours = x
x = 0.75t
Amount of gas left after t hours = (14 - 0.75t) gallons of gas
2) We are to find the sum of -8x^2+3 and -9x^2+3x-3
-8x^2+3 + (-9x^2+3x-3)
= 8x^2+3 -9x^2+3x-3
Collect like terms
= 8x^2 -9x^2+3x + 3-3
= -x^2 + 3x
Hence the sum is -x²+3x
3) Expressing in standard form;
(-3x-5)(-x^2+x-5)
Expand
= 3x³-3x²+15x+5x²-5x+25
Collect like terms
= 3x³-3x²+5x²+15x-5x+25
= 3x³+2x² + 10x + 25
Hence the product in polynomial form is 3x³+2x² + 10x + 25
Marco sells and ships oranges from the trees in his orange grove for $1.25 per pound plus a shipping fee. One package has a shipping fee of $4.95 and a total cost of $11.20. Write and solve an equation to find the number of pounds of oranges in the package. Show your work.
(Please help )
Answer:
Let x = the number of pounds of oranges in the packet.
The equation: 11.20 = 1.25x + 4.95
11.20 = 1.25x+4.95
6.25 = 1.25x
x = 5
There are 5 pounds of oranges in the packet.
Let me know if this helps!
Leena lives 1 4/7 miles from school. She walks the first 6/7 mile by herself. Then she
walks the rest of the way with her friend. How far did Leena walk with her friend? Plz help
Answer:
Leena walked 5/7 miles with her friend
Step-by-step explanation:
7/7 = 1
7 +4 =11
Answer:
5/7
Step-by-step explanation:
( I will give brainlist) Mrs. Perkey solved the problem below. Oh no! It looks like she made a mistake! -3/5 + -2/5 = -1/5 What did she do wrong? Please explain how to solve this problem the correct way for full points.
Answer:
It is actually -1.
Step-by-step explanation:
((-3) / 5) + ((-2) / 5) her problem should be set up like this. She just plain out did -3/5+-2/5 and that is not what your supposed to do.
pls mark me brainliest
Answer:
-5/5= -1
Step-by-step explanation:
-3/5 + -2/5 = -5/5
when u have to add 2 minus values it shuld not be subtracted by each other but added instead and put the (-) sign infront of the final value as given above.
4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:
A scuba diver dives 10 meters below the surface of the ocean, and then dives down another 8 meters. How many meters down does the diver dive? Show an absolute value equation that can be used to find your answer.