Answer:
77 boys, 65 girls
Step-by-step explanation:
x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:
x + x + 12 = 142
2x + 12 = 142
x = 65
65 girls
then 65+ 12 = 77 boys
Lil' HydroPhil owns five pieces of precious apparel and wants to choose two to wear to the awards show. He defines his precious apparel as: platinum nose ring, diamond shirt, titanium boots, suede pants, and beryllium hat. Assuming the selection is random and each has an equally likely outcome, determine the probability HydroPhil chooses a combination that includes the suede pants.
Answer:
The probability HydroPhil chooses a combination that includes the suede pants is 0.40
Step-by-step explanation:
Given
Let
[tex]P \to Platin um\ no se\ ri ng[/tex]
[tex]D \to Diamond\ shirt[/tex]
[tex]T \to Titanium\ boots[/tex]
[tex]S\to Suede\ pants[/tex]
[tex]B\to Beryllium\ hat[/tex]
Required
Probability of selecting a combination that has S
First, list out all possible combinations (A) of 2
[tex]A = \{PD, PT, PS, PB, DT, DS, DB, TS, TB, SB\}[/tex]
The sample size is:
[tex]n(A) = 10[/tex]
The combinations that has S are:
[tex]S \to \{PS, DS, TS, SB\}[/tex]
The size is:
[tex]n(S) = 4[/tex]
So, the probability that he choose the combination that has S is:
[tex]Pr = \frac{n(S)}{n(A)}[/tex]
[tex]Pr = \frac{4}{10}[/tex]
[tex]Pr = 0.40[/tex]
can someone help 10 points
Answer:
The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.
PLS HELP WITH THIS IN YHE RIGGHT ORDER I MARK YOU BRAINLIEST
A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more
Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
What is 12n+36m+60= pls answer
Answer:
you can't do that because they are different variables, so there are no like terms
Step-by-step explanation:
there is no answer for this equation
Answer:
Step-by-step explanation:
12n+36m+60=0
12n+36m=-69
12(n+3m)=-69
n+3m=-69/12
Find the sum of the series if n = 6, r = 1/4, a = 2.
Answer:
8.25
[tex]8\frac{1}{4}[/tex]
Step-by-step explanation:
n + r + a
6 + 0.25 + 2
8 + 0.25
8.25
The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
Answer:
1/4 in 36 hours
1/8 in 72 hours
To determine the fraction of the original drug dose remaining after a certain time, we can use the concept of half-life. The half-life is the time it takes for half of the drug to decay or be eliminated from the bloodstream.
Given that the half-life of the drug is 18 hours, we can calculate the fraction of the original drug dose remaining after a certain number of hours.
After 18 hours (one half-life), half of the drug remains, which is equal to 1/2 or 0.5 of the original dose.
To find the fraction remaining after 36 hours (two half-lives), we can halve the remaining amount from the previous step:
(1/2) * (1/2) = 1/4 or 0.25
Therefore, after 36 hours, 1/4 or 0.25 of the original drug dose remains.
To find the fraction remaining after 72 hours (four half-lives), we can continue halving the remaining amount:
(1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625
Therefore, after 72 hours, 1/16 or 0.0625 of the original drug dose remains.
In summary:
After 36 hours, 1/4 or 0.25 of the original drug dose remains.
After 72 hours, 1/16 or 0.0625 of the original drug dose remains.
To know more about fraction here
https://brainly.com/question/30154928
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https://www.amphi.com/cms/lib/AZ01901095/Centricity/Domain/4604/6th%20ELA%20website%20040620.pdf
I HELP FOR THIS ANSWER THIS ANSWERS
THIS FOR GRADE PLEASE HELP
Answer:
I tried but it said 4 0 4 e r r o r i d k why
Step-by-step explanation:
Rob has 6 quarts of apple cider for the fall fair. He pours the cider into glasses to set on picnic tables. He pours 6 ounces of cider into each glass. How many glasses of cider does Rob set on the tables? Show your work.
Answer:
6 x 32 = 192 divided by 6 = 34
Step-by-step explanation:
4. A room has 20 seats - some are stools and some are chairs. Each stool has 3 legs and each chair has 4 legs.
Altogether there are 68 legs.
How many
stools are there?
Answer:
There are 12 stools in the room
[tex]2 {a}^{2} - 3ab + {b}^{2} from3 {a}^{2} + 2ab - {b}^{2} [/tex]
Answer:
a (a - b)
Step-by-step explanation:
[tex]2a^{2}-3ab+b^{2} from 3a^{2} + 2ab - b^{2}[/tex]
Now, as [tex]2a^{2}-3ab+b^{2}[/tex] is from [tex]3a^{2} + 2ab - b^{2}[/tex]
so it will be subtracted :
[tex]3a^{2} + 2ab - b^{2}[/tex] [tex]-2a^{2}-3ab+b^{2}[/tex]
= [tex]a^{2} - ab[/tex]
= a (a - b)
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
A random sample of 12 families were asked how many kids they had. The data are given below. According to the US Census, families have on average 2.4 kids per family. What is the p-value for the alternative hypothesis that the average number of kids per family is different than the US Census value
Answer:
0.308
Step-by-step explanation:
Given the data:
1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 6
The sample mean and standard deviation :
Sample mean, xbar = (1+1+2+2+2+3+3+3+3+4+4+6) / 12 = 2.833
Sample standard deviation, s = 1.40 ( calculator)
Hypothesis :
H0 : μ = 2.4
H0 : μ ≠ 2.4
The test statistic :
(xbar - μ) ÷ (s/√(n))
(2.833 - 2.40) / (1.40/sqrt(12))
Test statistic = 1.0713
Using the Pvalue from Test score calculator :
df = n - 1 = 12 - 1 = 11
Pvalue(1.071, 11) two - tailed
= 0.3069
= 0.307
Twice a number is 14. What is the number
Answer:
7
Step-by-step explanation:
Divide 14 by 2
Solve 2x^2
+ x - 4= 0.
x2 +
= 0
DONE
[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
24% of what is 25? Round to the nearest tenth.
Which of the following is equal to 2?
6 + 4 = (2 + 1) * 3
(6 + 4 + 2) - 13
6 + (4 + 2) + 1 x 3
(6 + 4) - 2 - 1 x 3
Answer:
no equation is equal to 2 all are greater than 2
A person of interest was identified by the police. Using three different telecommunication towers,
the police were able to gather the following information about the person's cell phone location.
• The person is 7 miles away from A(4,4.6).
• The person is 5 miles away from B(-3.5, - 3.8).
• The person is 6 miles away from C(-6, 5.5).
Use the information from towers A, B, and C to find the approximate location of the person of
interest.
Answer:
Well since he tracked the person through the communication towers he was able to gather information, with this information we can solve and find out how far this person is.
Step-by-step explanation: read above and trust
is 0.45 greater than 0.5
Answer:
0.5
hope this helps
have a good day :)
Step-by-step explanation:
Find the radian measure of 120 degrees.
Answer:
The radian :
[tex] \frac{2\pi}{3} [/tex]
A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?
Select one:
A. The size of the population
B. The length of time the people smoked
C. All the information you need is contained in the problem
D. The amount of confidence you desire in your estimate
Answer:
C. All the information you need is contained in the problem.
310 people of 1000 people smoke.
Step-by-step explanation:
[tex]\frac{y}{1000}: \frac{31}{100}[/tex]
y · 100 = 31 · 1000
100y = 31000
100y ÷ 100 = 31000 ÷ 100
y = 310
Three bowls and four mugs can hold a total of 2.52 litres of water. Each bowl can hold
70 ml more than a mug. How much water can a mug hold? Give your answer in litres.
(with full working)
9514 1404 393
Answer:
0.33 litres
Step-by-step explanation:
If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...
3(m +0.07) +4m = 2.52
7m +0.21 = 2.52 . . . . . . . . simplify
7m = 2.31 . . . . . . . . . . . . . subtract 0.21
m = 0.33 . . . . . . . . . . . . . divide by 7
Each mug can hold 0.33 litres.
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answer: 88
Step-by-step explanation:
got it right 2022 edge
The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.
Answer:
461.6 ft³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(7²)(9)
= 49·3π
= 147(3.14)
= 461.6 ft³
1. Points scored by a basketball player are 12, 15, 8, 12, 15, 10, 3, 14, and 15
Calculate the:
a) mean
b) median
c) mode
d) midrange
e) Use the relative location of the mean, median, and mode calculated describe the sets as
symmetric, skewed left, or skewed right.
Answer:
mean : add all of them and divide by how much they are
mode: is what repeats it self like 15 is the most repeated.
Does anyone understand this?
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
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Solving a word problem involving rates and time conversion
A car travels at an average speed of 52 miles per hour. How long does it take to travel 247 miles?
Answer:
It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.
Step-by-step explanation:
This question is solved by rates, using a rule of three.
52 miles in one hour. How many hours for 247 miles?
1 hour - 52 miles
x hours - 247 miles
Applying cross multiplication:
[tex]52x = 247[/tex]
[tex]x = \frac{247}{52}[/tex]
[tex]x = 4.75[/tex]
It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answer:
40%
Step-by-step explanation: