Answer:
a) 3
b) 3
c) because of the permutations and combinations involved
Step-by-step explanation:
a) Determine the smallest number of cars needed
The number of cars are the same as conflict free cars
hence we can group the friends without conflict into the same car
1st car we will have : ACFI in it
2nd car we will have : GD in it
third care we will have : BEJH in it
∴ number of car needed = 3
b) number of conflict free cars = 3
c) Coloring is important in the question because of the permutations and combinations involved
simplify 2 1/2 times 3/4
Answer:
[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]
Answer:
15/8
Step-by-step explanation:
2.5/2 = 1.25
1.25/2 = 0.625
2.5 - 0.625 = 1.875
1.875 = 75/40 = 15/8
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.
Answer:
$600
Step-by-step explanation:
To find the original price, divide the cost by 0.75
450/0.75
= 600
So, the original price was $600
Answer: $600
Step by Step explaination:
A computer game was originally priced at $59.99. It was marked down 15%. Then it was moved to a clearance rack marked "Take an additional 50% off the lowest marked price." What was the final price of the computer game?
Answer:
25.50 is the final price
Step-by-step explanation:
First find the new price at 15% off
59.99 * 15%
59.99 * .15
9.00
Subtract 9 dollars from the price
59.99-9.00
50.99
Now take 50% off
50.99 * 50%
50.99*.50
25.50
50.99-25.50
25.50
HELP ASAP! I REALLY NEED IT!
Answer:
[tex]46 \frac{7}{8} \: cubic \: feet[/tex]
Step-by-step explanation:
[tex]\boxed{volume \: of \: prism = base \: area \: \times height}[/tex]
Base area= length ×width
Let's convert all the mixed numbers into improper fraction for easier calculation.
Width
= 7½
[tex] = \frac{7(2)}{2} + \frac{1}{2} [/tex]
[tex] = \frac{14}{2} + \frac{1}{2} [/tex]
[tex] = \frac{15}{2} ft[/tex]
Height
= 1¼
[tex] = \frac{4}{4} + \frac{1}{4} [/tex]
[tex] = \frac{5}{4} ft[/tex]
Volume of prism
[tex] = 5 \times \frac{15}{2} \times \frac{5}{4} [/tex]
[tex] = \frac{375}{8} [/tex]
[tex] = 46 \frac{7}{8} \: ft {}^{3} [/tex]
Consider this right triangle
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
From a point on a circle, two perpendicular chords are drawn. One is 6 cm from the center and the other is 3 cm from the center. Find the lengths of these chords.
Answer
the lengths of the chords are 12 cm and 6 cm
Answer:
The lengths of the chords are 12 cm and 6 cm
Step-by-step explanation:
See attached image
Hope this helps! :D
6. What is the area of he trapezoid? Help Please
Answer:
It’s G. 330 m^2
Step-by-step explanation:
The formula for a trapezoid is (a+b)/2 times h.
So a is base one and b is base two and the h is the height.
So it would be like (19+41)/2 X 11 then you would get
60/2 X 11
30 X 11 equals 330
One hundred volunteers who have agoraphobia (fear of open and crowded space) are available for a study. Fifty are selected at random and are given the drug imipramine, which is believed to be effective in treating agoraphobia. The other 50 are given a placebo. A psychiatrist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of their symptoms.
What type of study is this?
A. Matched pair design
B. Observational study
C. Completely randomized block design
D. Completely randomized design
Answer:
D. Completely randomized design
Step-by-step explanation:
Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.
Brock Lesnar is standing next to his time machiner when he spots a pterodactyl soaring through the air. Brock Lesnar wants that pterodactyl for his trophy room. So he sets up his range finder and finds that the direct distance from the gun to the pterodactyl is 1000 yds. His angle of elevation to the pterodactyl is 17 degrees if Brock Lesnar his the pterodactyl. How far will he have to drag the dead pterodactyl along the ground to get it back to this time machine.
a. 1046 yds
b. 306 yds
c. 956 yds
d. 400 yds
e. 292 yds
Answer:
C. 956 ydsStep-by-step explanation:
Use cosine to solve this:
cos 17° = x / 1000x = 1000 cos 17°x = 956 ydsCorrect choice is C
Step-by-step explanation:
➡cos17=x/1000
using cross multiplication➡x=1000×cos17
➡x=956yards
Plzzzz answer fast......
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
Answer:
[tex] \measuredangle \: \boxed{7}[/tex]
Step-by-step explanation:
[tex] \measuredangle \: 2 = \measuredangle \: \boxed{7} \\ (alternate \: exterior \: \angle s)[/tex]
Will mark brainliest for area.
Answer:
c
Step-by-step explanation:
first, find the area of the rectangle thing,
A = lw
14 x 8
112
but, there is a semicircle in it so you need to subtract that from it:
A = πr^2/2
A = π(4)^2/2
A = π16/2
A = 8π
A ≈ 25.132741228718346
then subtract that area from the area of the rectangle:
112 - 25.132741228718346
86.867258771281654
or about 89.9
Monica hizo galletas de dos tamaños como se muestra en la imagen. ¿Cuánto mide el lado Z de la galleta más grande?
Gina is shopping for a new bicycle. The price of the bicycle is $300 and there is an 8% sales tax. Gina wants to know the total price of the bicycle including soles tax. How much sales tax does Gina pay on the bicycle? Enter the amount in the table.
Answer:
24
Step-by-step explanation:
The person above me is incorrect . I got it right on the i-Ready Quiz!
g(n) = n - 1
h(n) = n^3- 2
Find (g - h)(3)
Answer:
jsjshshzyzhshshw
Step-by-step explanation:
7U usual jusjsisj
A woman decides to have children until she has her first girl or until she has five children; whichever happens first. Find the expected value and standard deviation of X. Let X represent the number of children she has. Assume that she is equally likely to give birth to a boy or a girl on each child, and that gender is independent between children.
(a) Write out and sketch the complete probability distribution function for X.
(b) Write out and sketch the complete cumulative distribution function for X.
(c) Find the expected value and standard deviation of X.
Answer:
E(X) = 1.9375
SD(X) = 1.20
Step-by-step explanation:
Let :
G = girl ; B = Boy
P(G) = 0.5 ; P(B) = 0.5
Sample space :
G, BG, BBG, BBBG, BBBBG, BBBBB
Using the multiplication rule of independence :
P(G) = 0.5
P(BG) = 0.5 * 0.5 = 0.25
P(BBG) = 0.5 * 0.5 * 0.5 = 0.125
P(BBBG) = 0.5 * 0.5 * 0.5 * 0.5 = 0.0625
P(BBBBG) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
P(BBBBB) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125
Creating a probability distribution table :
X = 1, 2, 3, 4, 5
For X = 5 ;
P(BBBBG) + P(BBBBB) = 0.03125 + 0.03125 = 0.0625
X :___ 1 ____ 2 ____ 3 _____ 4 _____ 5
P(X) : 0.5 __ 0.25 _ 0.125 _0.0625 _0.0625
The expected value E(X) :
√(ΣX * P(X)) = (1*0.5)+(2*0.25)+(3*0.125)+(4*0.0625)+(5*0.0625) = 1.9375
The standard deviation SD(x) :
√(ΣX²*p(x) - E(X)²
√((1^2*0.5)+(2^2*0.25)+(3^2*0.125)+(4^2*0.0625)+(5^2*0.0625) - 1.9375^2)
√(5.1875 - 3.75390625)
√1.43359375
SD(X) = 1.197
SD(X) = 1.20
5th grade math. correct answer will be marked brainliest
Adrian is putting streamers across the ceiling of his dining room to decorate for his nephews birthday party. The ceiling is rectangular. Its area is 122,5 square feet, and its
width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?
Answer: 17.5 feet long.
8 (6-4x) = 12
equation with parentheses
Answer:
x=9/8
Step-by-step explanation:
Find the x and y intercepts of 4x - 5y = 40
Is this correct and can someone explain why??
Answer:
no, the correct answer is D.
Step-by-step explanation:
for the x-intercept you would first add 5y to both sides giving you 4x=5y+40. then you would divide both sides by 4, so the final equation would be x=5/4y+10.
for the y-intercept you would subtract 4x from both sides, making -5y=-4x+40. then you would divide both sides by -5, making the final equation y=4/5x-8.
Leslie tunes a guitar with 6 strings and a piano with 37 times as many strings.
How many strings did the piano have?
Choose 1 answer:
(Choice A)
The piano has 422 strings, because 37×6=422.
(Choice B)
The piano has 222 strings, because 37×6=222.
(Choice C)
The piano has 6 strings, because 37÷6=6 remainder 1.
please with the mathematics
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
with like denominators you can just add or subtract freely just the top numerators
Answer:
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
Step-by-step explanation:
PLEASE HELP
do question 8 and 9
Answer:
x=7
x=4
x=1/9
Step-by-step explanation:
For number 9 you can either type out the work or say something like:
To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.
Answer and Step-by-step explanation:
8a.
3x + 6 = 27
Subtract 6 from both sides.
3x = 21
Divide 3 from both sides.
x = 7
8b.
6x + 3 = 27
Subtract 3 from both sides.
6x = 24
Divide 6 from both sides.
x = 4
8c.
27x + 3 = 6
Subtract 3 from both sides.
27x = 3
Divide 27 from both sides.
x = 3/27
Simplify the fraction
x = 1/9
9.
The above steps are the reasonings for the above answers.
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8% tax. How much more did Mel pay than Dave? show your work and answer in complete sentence. Round your answer to the nearest cent.
Answer:
4.6, or 4.60
Don't forget the dollar signs.
Step-by-step explanation:
8 percent of 15 = 1.2.
15-1.2=13.8
8 percent of 20 = 1.6
20-1.6=18.4
18.4-13.8=4.6
Answer:
4.6
Step-by-step explanation:
What is $45.79 multiplied by .50 equal
Answer:
686.85
Step-by-step explanation:
Answer:
$45.79 multiplied by .50 equals 22.895
If f(x) = x + 3 and g(x) = -7x + 7, which statement is true? Click on the correct answer. 5 is in the domain of fºg. 5 is not in the domain of fºg.
Answer:
man you got this
Step-by-step explanation:
If f(x) = x + 9 and g(x) = 9x – 4, - 22024651. ... Click on the correct answer. 3 is not in the domain of fºg. 3 is in the domain of fºg. 1. See answer. Add answer+5 pts ... Answer: 3 is in the domain of f(g(x)). Step-by-step explanation: ... What is the domain of the given function? a) {x | x = –6, –1, 0, 3}; {y | y = –7, –2, ...
The domain is all real numbers except 9 (positive)
This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.
Answer:
5 is not in the domain of fog
Step-by-step explanation: [tex]g(f(x) = g(\sqrt{x+3} ) = -7(\sqrt{x+3}) +7[/tex] find the domain of [tex]-7(\sqrt{x+3}) +7[/tex] which is [tex]{x|x\geq -3[/tex] therefore any number greater than or equal do -3 are not in the domain. So 5 is not in the domain of fog
HELP HELP HELP HELP FIND THE VALUE OF X
Answer:
x=9
Step-by-step explanation:
The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.
90+5x+5x=180
add the x values together
90+10x=180
subtract 90 from both sides
10x=90
divide both sides by 10
x=9