Answer: A. To find out how much concentrated cleaner the worker used, we can set up the equation: x + 15 = 5x/2, where x is the amount of concentrated cleaner used in quarts. Solving for x, we find that the worker used 15 quarts of concentrated cleaner.
B. Since we know that the worker used 15 more quarts of water than concentrated cleaner, we can find out how much water she used by adding 15 quarts to the amount of concentrated cleaner used. In this case, the worker used 15 quarts + 15 quarts = 30 quarts of water.
C. To find out how much solution the worker made, we add the amount of concentrated cleaner used and the amount of water used. In this case, the worker made 15 quarts + 30 quarts = 45 quarts of solution.
Step-by-step explanation:
The volume of a pyramid with a square base is given by the expression sh, where s is the length of a side of the base and his the height Find the volume of a pyramid with a square base of side length 24 feet and a height of 30 feet
Answer:
v=l×b=
l=24
h=30
v=24×30=
54
v=54.
Negative nine is greater than or equal to the sum of two - fifths times a number and 9.
Answer:
W is either -22.5, or less than -22.5
Step-by-step explanation:
-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)
W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.
2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5
W can then be anything "lower" (on the left side) of -22.5.
W<-22.5
In the email data set in Chapter 1, the number variable de- scribed whether no number (labeled none), only one or more small numbers (small), or whether at least one big number appeared in an email (big). Of the 3,921 emails, 549 had no numbers, 2,827 had only one or more small numbers, and 545 had at least one big number. (a) Are the outcomes none, small, and big disjoint
Answer:
These outcomes are disjoint.
Step-by-step explanation:
(a) Are the outcomes none, small, and big disjoint
If they are disjoint, the sum of the total number of each has to be equals to the number of emails.
We have:
3921 emails.
549 with no numbers.
2827 with only one or more small numbers
545 had at least one big number.
549 + 2827 + 545 = 3921
Since the sum is equals to the number of emails, these outcomes are disjoint.
how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?
Answer:
4 different odd integers: 25, 45, 55, 85
Step-by-step explanation:
Un jugador encesta con probabilidad de 0.73 Calcula la probabilidad de que al tirar 6 veces enceste:
a) al menos 4 veces
b) ninguna vez
c)todas las beces
d)dos veces
e) menos de tres veces
f) 5 o mas veces
Using the Distributive Property, rewrite 2x + 16 as a product of two factors. *
1. 2x + 8
2. 2(16x)
3. 2(x + 8)
4. 2(x + 16)
A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
show that x²/√x²+4 is continuous at x=2
Answer:
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
The function f(x) is continuous
Step-by-step explanation:
Explanation:-
Given that the function
[tex]f(x) = \frac{x^{2} }{x^{2} +4}[/tex]
put x = c =2
[tex]f(c) = f(2) = \frac{(2)^{2} }{(2)^{2} +4} = \frac{4}{8} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{2^{2} }{2^{2} +4} = \frac{4}{4+4} = \frac{4}{8}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2}[/tex]
[tex]\lim_{x \to 2} \frac{x^{2} }{x^{2} +4} = \frac{1}{2} = f(C)[/tex]
Given function f(x) is continuous
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Hurry I need it done quickly and correctly don't comment if you don't know it
1. Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,446 trees per 0.7 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
2.Washington State University graduated a total of 16,856 students. Of all the students, only 7.0% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
3.The number of early voters for the 2020 election was 132.5% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
4.At a conference, there is a food table setup with 459 sandwiches. Of all the sandwiches, only 76 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent.
5. Which of the following is equivalent to the ratio 5?
0.2
5 to 1
1:5
1/5
Answer:
1. 1,446 trees 16,856 square miles
2. 99.99% 16,856 students were passed
3. 58,300,000 early voters in 2016 202.5% to 2020
4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys
5. 1/5 to 5 to 1 to 1:5 right? please dont report me
A playground is 45 feet wide
convert the wind to yards
Solve each proportion 2/r=12/18
Answer:
r = 3
Step-by-step explanation:
starting with
2 / r = 12 / 18. we cross multiply
18 * 2 = 12 * r
36 = 12 * r
and divide by 12 to isolate "r"
36 / 12 = r
Then r = 3
600% of what number is 5,580
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
Marc sold 425 tickets for the school play. Student tickets cost $4 and adult tickets cost $5. Marc's sales totaled $1925. How many adult tickets and how many student tickets did Marc sell?
Please help, Dont guess :) will mark brainliest
Answer:
43 1/2Step-by-step explanation:
The formula to find the area of a triangle is multiplying base times height divided by 2.
So we have 3+3+3 (which is the base) times height. Finally we have: 9 x 11, which is 99 and now we divide it by 2. So 99/2 = 49 1/2.
Now we subtract the missing rectangle, which we can find by multiplying 3 by 2, which is 6.
So now subtract 6 from 49 1/2, and you'll get 43 1/2.
Answer:
43.5
Step-by-step explanation:
(( I will be using "*" as a multiplication sign ))
Area of rectangle = length * width = 3 * 2 = 6
Area of triangle = 1/2 bh = 1/2(11*9) = 1/2 of 99 = 99 divided by 2 = 49.5
So, since we are taking away the rectangle from the triangle, we will subtract the area of the rectangle from the triangle.
49.5 - 6 = 43.5
If you have any question please message me or comment
which function displays the fastest growth as the x-values continue to increase?
The exponential function q(x) displays the fastest growth as the x-values continue to increase.
The correct option is D.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A table is given for the value of x.
The function m(x) shows the linear relationship.
Because it has constant first difference.
n(x) is not a function because it has 2 input values connecting to one output value.
And the function q(x) has common ratio,
0.3/0.15 = 2.
So, it is an exponential function.
So, this function will display the fastest growth.
Therefore, the function is q(x).
To learn more about the exponential;
https://brainly.com/question/14344314
#SPJ6
P-250 ft
Find the dimensions of the rectangle
The perimeter is given.
W
3w- 15
Answer:
A = L × W A = L × W A=L×W.
A = L × W A = L × W A=L×W.
P = 2 L + 2 W P = 2L + 2W P=2L+2W.
(05.07 MC)
The net of a square pyramid is shown below
3 inches
2 inches
3 inches
2 inches
What is the surface area of the solid?
16 square inches
24 square inches
28 square inches
Previous Question
Question 1 (Answered)
Answer:
16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)
Factor out the GCF from the terms of the polynomial 2x^3 − 5x^2 + 25.
Answer:
Step-by-step explanation:
The polynomial is already factored.
5,3,1,-1, common difference or common ratio
Answer:
Common
Step-by-step explanation:
Can someone explain to me how to do this problem?
x • 1 + x/1 =
The first term of an Ap are x, 2x +1, and 5x+1 Find
x and the sum of the
l0 terms
first
Answer:
145/2
Step-by-step explanation:
d=[2x+1-x] = [5x+1 -(2x+1)]
x+1=3x
x-3x=-1
-2x=-1
x=1/2
therefore first term is 1/2
second term is 2(1/2)+1= 2
common difference d is 2-1/2=3/2
sum of first n terms is n/2 [2a+(n-1)d] where n=10
sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]
=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2
do not count the
individual
oranges.
count them as
groups.
Answer:
A. 5
B. 100
C. 300
What is 5% of 345? ......
Answer:
17.25
Step-by-step explanation:
5/100 x 345 = 1725/100 = 17.25
Is the set of the following numbers ordered from greatest to least or least to greatest
Answer: Your answer should be least to greatest I believe
twice the square root of a number is 12
Let us assume that the number is X
According to the statement:
2✓x = 12
Divide both sides by 2;
✓2 = 6
Square both sides,
x² = 6²
X = 36
Hence the required number is 36.
Your teacher tells you that the hour hand on
an analog cl o ck will ro t ate 45 while yo u
w rite a math quiz. If the quiz starts at 9:00,
wh at time does it end? Wh at is the angle
b e t ween the starting and ending positions
of the minute hand?
Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1
Can someone pls help lol I rlly do need help on this :)
Answer:
a+51=90
a+51+90=180
39
Step-by-step explanation:
hope this helped :)
You enter an elevator and go down 7 floors you exit on the 10th floor. Write an equation you can use to find the floor where you entered the elevator