Answer:
The answer is $2
I packet has 4 pencils so 12 pencils is 3 packets
if 3 packets cost $6 1 packet costs $2 and since 1 packet of pencils is the same price as one packet of erasers 1 packet of erasers cost $2
The system of equations above is graphed below. Find the solution to the system.
Group of answer choices
(0,-6)
(-1,-5)
(1,-5)
(-5,1)
Solution:
The solution to the given system of equation is the intersection point created with the 2 lines. The solution must satisfy all equations. We can see the intersection. To identify the solution, plot the solution on the graph.
=> Solution of two lines: (x = 1, y = -5)=> Solution of two lines in (x,y) form: (1, -5)Option C is correct.
~Refer to image for plotted solution~
The average number of words in a romance novel is 64,436 and the standard deviation is 17,071. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
64436
Correct,
17071
Correct)
b. Find the proportion of all novels that are between 72,972 and 90,043 words.
c. The 75th percentile for novels is
words. (Round to the nearest word)
d. The middle 60% of romance novels have from
words to
words. (Round to the nearest word)
b. You're looking for the probability
Pr [72,972 ≤ X ≤ 90,043]
Transform X to Z ∼ Normal(0, 1) using the rule
X = µ + σ Z
with µ = 64,436 and σ = 17,071. Then the probability is
Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]
≈ Pr [0.5000 ≤ Z ≤ 1.5000]
You probably have a z-score table available, so you can look up the probabilities to be about
Pr [Z ≤ 0.5000] ≈ 0.6915
Pr [Z ≤ 1.5000] ≈ 0.9332
and then
Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417
c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that
Pr [X ≤ x] = 0.75
Transforming to Z and looking up the z-score for 0.75, we have
Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]
so that
(x - µ)/σ ≈ 0.6745
x ≈ µ + 0.6745σ
x ≈ 75,950
d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that
Pr [µ - k ≤ X ≤ µ + k] = 0.6
Also due to symmetry, we have
Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]
⇒ Pr [µ ≤ X ≤ µ + k] = 0.3
Transform X to Z :
Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3
⇒ Pr [0 ≤ Z ≤ k/σ] = 0.3
⇒ Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3
⇒ Pr [Z ≤ k/σ] - 0.5 = 0.3
⇒ Pr [Z ≤ k/σ] = 0.8
Consult a z-score table:
Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]
⇒ k/σ ≈ 0.8416
⇒ k ≈ 14,367
Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.
A school hires an entertainment company to host a party. The company charges
a setup fee of $75, plus $500 per hour. The same company pays 7 employees $20
per hour. Write a function that models the amount of money the company will
receive for hosting the party and another function that shows how much it will
cost the company to host the party. Combine the two functions to show the
amount of revenue the company will make for hosting the party. How much
money will the company make if the party lasts 5 hours?
Answer:
Money received = $(75 + 500.t)
Help with number 10 please
Answer:
The answer is 3
Step-by-step explanation:
I did this quiz before
Determine if true:
9x0^1x9=9
Answer:
False
Step-by-step explanation:
9x0=0
0^1=0
0x9=0
0=9
The numbers don't match.
Hence, the equation is false.
Answer:
False
Step-by-step explanation:
9*0=0
0^1 =0
0*9 = 0
0≠9
How to make 2 numbers add up to 120 but one of the numbers is 25 more than the other.
Answer:
The answer is 47.5 and 72.5
Step-by-step explanation:
Given;The sum of two numbers is equal to 120.So,
Let the number be x and the other number be (x + 25).
Now,
x + (x + 25) = 120
x + x + 25 = 120
2x + 25 = 120
2x + 25 – 25 = 120 – 25
2x = 95
2x/2 = 95/2
x = 47.5
Thus, The number be x is equal to 47.5 and other which is more 25 than other number is (47.5 + 25) = 72.5
-TheUnknownScientist 72
Answer:
The numbers are 47.5 and 72.5
Step-by-step explanation:
Let "x" represent the larger number, then the smaller number would be equivalent to:
[tex]x-25[/tex]
Larger Number + Smaller Number = 120
Therefore...
[tex]x+x-25=120[/tex]
Combine like terms:
[tex]2x-25=120[/tex]
Add 25 to both sides (note we are utilizing the Addition Property of Equality which essentially states that if you add a value to one side of the equation, you must add it to the other side as well):
[tex]2x=120+25\\2x=145[/tex]
Divide both sides by 2 (note we are now utilizing the Division Property of Equality which essentially states that if you divide a value from one side of the equation, you must divide it from the other side as well; the same as the Addition Property of Equality, but with division instead):
[tex]x=\frac{145}{2}\\x=72.5[/tex]
Therefore...
[tex]x-25=72.5-25=47.5[/tex]
Please list all of the fractions that are greater than 7/12
Answer:
5/9, 9/12, 6/7, 6/9 are the ones I believe so far
Step-by-step explanation:
38. Find the value of x in isosceles trapezoid ABCD.
Given: AC = 3x - 16 and BD = 10x-86
Answer:
10
Step-by-step explanation:
Diagonals of a isosceles trapezoid are congruent
3x - 16 = 10x - 86 Subtract 3x from both sides and add 86 to both sides
70 = 7x Divide
x = 10
What is the slope of the line that contains these points?
answer? to this problem please
Answer:
D
Step-by-step explanation:
There is only one vertical asymptote, x = 1.
Only D has vertical asymptote, x = 1.
A student wants to create a 2:1 scale drawing of the classroom. Is this an appropriate scale to use? Why or why not?
Answer:
I don’t know figure it out
Step-by-step explanation:
i need the steps to the perimeter and area the radius is 5 ft
Write an equation that relates the angles in a triangle.
The measure of angle A is 45 degrees. The measure of angle B is b degrees. The measure of angle C is 3b degrees.
Step-by-step explanation:
please mark me as brainlist please
Tim bought a certain number of bags of chips that each cost $1.05. Write an expression to show the total cost.
x is the number of bags of chips
1.05x means "1.05 times x". You could write 1.05*x or omit the multiplication symbol all together.
For example, if he bought x = 100 bags then he would spend 1.05*x = 1.05*100 = 105 dollars.
In this problem, p is in dollars and x is the number of units.
Find the producer's surplus at market equilibrium for a product if its demand function is p = 121 − [tex]x^{2}[/tex] and its supply function is p = [tex]x^{2}[/tex] + 6x + 65. (Round your answer to the nearest cent.)
The market equilibrium is the point where the demand and supply functions are equal
The producer's surplus at market equilibrium for a product is #105
How to determine the producer's surplusThe functions are given as:
[tex]p = 121 - x^2[/tex]
[tex]p = x^2 + 6x + 65[/tex]
Equate both functions
[tex]x^2 + 6x + 65 = 121 - x^2[/tex]
Collect like terms
[tex]x^2 + x^2 + 6x + 65 - 121 = 0[/tex]
Evaluate the like terms
[tex]2x^2 + 6x -56 = 0[/tex]
Divide through by 2
[tex]x^2 + 3x -28 = 0[/tex]
Expand
[tex]x^2 + 7x - 4x - 28 = 0[/tex]
Factorize
[tex]x(x + 7) - 4(x +7)= 0[/tex]
Factor out x + 7
[tex](x - 4)(x +7)= 0[/tex]
Solve for x
x = 4 or x = -7
The number of units cannot be negative,
So, we have:
x = 4
Substitute 4 for x in [tex]p = 121 - x^2[/tex]
[tex]p = 121 - 4^2[/tex]
p = 105
Hence, the producer's surplus at market equilibrium for a product is #105
Read more about equilibrium at:
https://brainly.com/question/110832
Please help solve the graph
Answer:
Put a point on (4, -4)
Count 1 down from the purple point, then go four points to the right.
Step-by-step explanation:
y=[tex]-\frac{1}{4}[/tex]x-3
the -1/4 is what tells you how much to move the point from the given one. In this case, it is one down (-1), and four to the right (4).
Jeremy received a basket containing 8 red and 4 green apples.
When he randomly selects and eats two apples from the basket, these are
events.
The probability that both of the apples Jeremy eats are green is
.
Answer:
It is more probable that he pick two red apples than green. Because their are more red apples thank green so the chances of him picking green apples are very slim.
Have a nice day/night!
This is an example of probability without replacement and can simply be done using the formula.
The probability that both apples he ate will be green is 1/12
Probability without replacementThis is done when we pick a value from a data set and does not replace it and hence affects the value of the original data set.
Data;
Red = 8Green = 4Jeremy ate two apples from the basket and the probability this is green would be
[tex]8 + 4 = 12\\[/tex]
The number of green apples are = 4
[tex]\frac{4}{12} * \frac{3}{12} = \frac{12}{144} = \frac{1}{12}[/tex]
The probability that both apples he ate will be green is 1/12
Learn more on probability without replacement here;
https://brainly.com/question/11405286
#SPJ2
please help me with this escape room !
Answer:
16. L
17. I
18. H
Step-by-step explanation:
Answer:
LIH
16. L
17. I
18. H
Step-by-step explanation:
[tex]16. \sqrt{45a^{2}b } =\sqrt{(9)(5)a^{2} b} =3a\sqrt{5b}[/tex]
[tex]17. \sqrt{54a^{2}b^{3} } =\sqrt{(9)(6)a^{2}b^{2}b } =3ab\sqrt{6b}[/tex]
[tex]18. \sqrt{45ab^{4} } =\sqrt{(9)(5)ab^{2}b^{2} } =3b^{2} \sqrt{5a}[/tex]
Hope this helps
Holly attended a conference at 11:30 A.M. The conference ended at 1:05 P.M. How long does the conference last
Question 1
Which best describes the error in solving the equation?
Both sides of the equation should have been multiplied by 28.
Both sides of the equation should have been multiplied by 28.
Both sides of the equation should have been divided by 28.
Both sides of the equation should have been divided by 28.
Both sides of the equation should have been multiplied by 4.
Both sides of the equation should have been multiplied by 4.
From both sides of the equation, 4 should have been subtracted.
From both sides of the equation, 4 should have been , subtracted.
Question 2
Find the correct solution.
The correct solution is x=
.
Answer:
x=112
Step-by-step explanation:
A state university locks in costs for a student once a student starts attending the university. The total cost is $22,500. A student has the following help in covering the costs of school.
An academic scholarship of $10,000.
Other scholarships and grants of $4,400.
Parents pay $1,800.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
a. $525
b.$630
c.$1,200
d. $1,440
Answer:B $630 Per Month So B
Step-by-step explanation: $22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months=$630
Answer:
$690
Step-by-step explanation:
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
Amount and interest
Given the following information from the question
The total cost of fee = $23,500
Amount got as help;
An academic scholarship of $8,200.
Other scholarships and grants of $7.400.
Grandparents pay $1,000
Amount she had = 8200 + 7400 + 1000
Amount she had = $16600
Amount remaining = 23500 - 16600
Amount remaining = $6900
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
https://brainly.com/question/22112075
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+[/tex]Answer:
Step-by-step explanation:
Vertex form of quadratic function: y =a(x -h)² + k
Where (h,k) is the vertex
vertex (-2 , 6)
y = a(x -[-2])² + 6
y = a(x + 2)² + 6
This is passing through (-4,8)
8 = a(-4 + 2)² + 6
8 = a(-2)²+ 6
8 = 4a +6
8 - 6 = 4a
4a = 2
a = 2/4
a = 1/2
[tex]Answer: y =\dfrac{1}{2}(x +2)^{2}+6[/tex]
Please help!! the problem is attached for the standard deviation
Answer:
9.24
Step-by-step explanation:
Which of the following numbers is farthest from the number 2 on the number line
3 -3 6 -6 10
Answer:
-6 is the correct answer
Step-by-step explanation:
A scientist mixes water (containing no salt) with a solution that contains 20% salt. She wants to obtain 140 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 20% salt solution should she use?
24
,
Factor:
x²-9
A
(x + 3XX-3)
B
(x+3)2
с
(x-3)
(x+3)(x+3)
Answer:
(x-3)(x+3)
Step-by-step explanation:
We are given the expression [tex]\displaystyle \large{x^2-9}[/tex]:—
To factor this expression, we have a formula for it which is difference of two squares:—
[tex]\displaystyle \large{a^2-b^2=(a+b)(a-b)}[/tex]
You can also swap from [tex]\displaystyle \large{(a+b)(a-b)}[/tex] to [tex]\displaystyle \large{(a-b)(a+b)}[/tex] via multiplication property.
From the expression, factor using the formula above:—
[tex]\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}[/tex]
Therefore, the factored expression is:—
[tex]\displaystyle \large{\boxed{(x-3)(x+3)}}[/tex]
__________________________________________________________
If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!
Find the value of K when K = 5n^2 + w. when n = 4 and w = -6.
Answer:
[tex]\bold{K = 5n {}^{2} + w} [/tex]
Given ,
value of n = 4
value of w = - 6
Then ,
[tex]\bold{K = 5(4) {}^{2} + ( - 6)} \\\bold{ K = 5(16) - 6} \\\bold{ K = 80 - 6} \\ \fbox\pink{K = 74}[/tex]
hope helpful~
Answer:
Value of k is 74Step-by-step explanation:
Here we have been provided with the values of n and w that is 4 and -6 respectively.
Equation that we have,
k = 5n² + wSubstituting the values of n and w in the equation,
[tex] \implies \: \sf{k \: = \: 5(4) {}^{2} \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 5(4 \times 4) \: + \: ( - 6)}[/tex]
[tex] \implies \: \sf{k \: = \: 5 \: (16) \: + \: ( - 6)}[/tex]
Multiplying 16 by 5,
[tex]\implies \: \sf{k \: = \: 5 \: \times 16 \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 80 \: + \: ( - 6)}[/tex]
[tex]\implies \: \sf{k \: = \: 80 \: - \:6)}[/tex]
Subtracting 6 from 80,
[tex]\implies \: \red{\bf{k \: = \: 74}}[/tex]
Therefore, value of k is 74..!!
a class has 28 students 13 boys and 15 girls what is rstio girls to boys
Answer:
15 : 13
Step-by-step explanation:
Girls : Boys
15 : 13
permutation:
A college has 7 good badminton players.In how many ways can a team of 5 players be selected??
Formula for permutation is:
[tex] \boxed{ \tt^{n} C_{r} = \frac{n!}{r!(n - r)!} }[/tex]
Calculation,Plug in the values:
Required number of ways = ²C7
n = 7r = 5[tex] \sf \frac{7!}{5!(7 - 5)!} [/tex]
[tex] \sf \frac{7 \times 6 \times \cancel{5!}}{ \cancel{5! }\times 2!} [/tex]
[tex] \sf \frac{7 \times 6 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2!} [/tex]
[tex] \sf \frac{42 }{ 2} = 21[/tex]
Thus, The players can be selected in 21 different ways!!~
Here one player cannot be repeated so repeating is not allowed.
Hence we use combination heren=7r=5Total ways
[tex]\\ \rm\hookrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Put values[tex]\\ \rm\hookrightarrow ^7C_5[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!(7-5)!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7!}{5!2!}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7\times 6\times 5!}{5!(2)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{7(6)}{2}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{42}{2}[/tex]
[tex]\\ \rm\hookrightarrow 21ways[/tex]
the average cost of 3 books 3:2:5 is $50. How much does each book cost?
Step-by-step explanation:
We have to find what one share is
we have 3 shares + 2 shares + 5 shares
so he have a total of 10 shares
next, we divide 50 by total shares to get what one share is
50 ÷ 10 = 5
5 is one share
fins what each is
for 3
3 shares so 3 fives
3 × 5 = 15
for 2
2 shares so 2 fives
2 × 5 = 10
and for 5
can you work it out and leave in the comments i will say if it is correct