The number of times that the band played an encore at 7 out of the next 14 shows.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.
We may use the following percentage to determine how many of the following 14 performances will likely have an encore:
1/2 = x/14
14 = 2x
x = 7
Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.
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giving brainliest to whomever answers correctly!
Answer:
B: A systematic random sample
Step-by-step explanation:
Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Another name for NQ is? (Geometry)
Answer:
NQ : Summary
CodeNQOne-letter codeXMolecule name2-HYDROXYNAPHTHOQUINONESynonyms2-HYDROXY-1,4-NAPHTHOQUINONESystematic namesProgram Version Name ACDLabs 10.04 2-hydroxynaphthalene-1,4-dione OpenEye OEToolkits 1.5.0 2-hydroxynaphthalene-1,4-dione
5 scientific calculators are being sold for $135 at a school supply store, Mary needs to
buy 35 calculators for her students. How much should she expect to pay at this rate?
Mary expects to pay $954 at this rate for 35 calculators
How do you find the rate per item?If you have a rate, such as a price per a certain number of things, and the denominator quantity is not 1, you may determine the unit rate or price per unit by dividing the numerator by the denominator.
How to find 35 calculator's price?Five 5 scientific calculators are being sold for $135.
then the per calculator's cost is 135/5= $27.
And Mary needs to buy 35 calculators for her students
then 35 calculators is 35×27 = $954.
Hence she expects to pay $954.
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At a real estate agency, an agent sold a house for $367,000 The commission rate is
6.5% for the real estate agency and the commission rate for the agent is 25 % of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
The agency made $___ on the house.
Answer:
The agency makes 23855
The agent makes 5963.75
Step-by-step explanation:
First find the commission for the agency
367000 * 6.5%
367000*.065
23855
Now the agent gets 25% of this amount
23855 *25%
23855 *.25
5963.75
Answer:
Step-by-step explanation:
The agency made $24,440.00
The Agent made $6,110.00
Which answer describes the pattern in this sequence?
2, 1, 12, 14, ...
multiply by 2
subtract 1
add 12
multiply by 12
The volume of a sphere is 905 1/7 cm³ ? Determine its diameter
will give brainliest
Volume of the sphere = 4/3πr³
905 1/7 = 4/3*22/7*r³
6336/7 = 4/3*22/7*r³
r³ = (6336*7*3)/(4*22*7)
r³ = 133056/616
r³ = 216
r = ∛216
r = 6 cm
So, diameter = 6*2 = 12 cm
Surface area of the sphere = 4πr²
= 4*22/7*6*6
= 3168/7
Surface area of the sphere = 452.57 sq cm
Hope it helps.
A bag contains 6 black, 4 blue, and 8 white marbles. What is the probability that a marble drawn from the bag will be white?
a.1/18
b.2/5
c.4/9
d.4/5
Answer:
C.4/9
Step-by-step explanation:
You add the black marbles, blue marbles, and the white marbles together, which equal 18. Out of the 18 marbles, 8 of them are white so it would be 8/18.
but you have to simplify it. 8 and 18 have 2 as the greatest common factor. 8 divided by 2 is 4 and 18 divided by 2 is 9. Finally its 4/9 since you cant simplify it even more.
At a local concert, the cost for 3 adults and 2 children was $32.00. The cost for 8 adults and 5 children
was $84.00. Find how much it costs for an individual adult and how much it costs for an individual
child.
Adult ticket price = $
Child ticket price = $
Answer:
Hence the cost of adult tickets is $8
and the cost of child ticket is $4
Step-by-step explanation:
Given data
Let the cost per adult be x
and the cost per child be y
So
3x+2y= 32------------1
8x+5y= 84------------2
Now solving 1 and 2 simultaneously, we have
3x+2y= 32------------1X 5
8x+5y= 84------------2 X 2
15x+ 10y= 160
16x+ 10y= 168
-x+0)=-8
-x= -8
x= 8
Put x= 8 in 1 to find y
3*8+2y= 32
24+2y= 32
2y= 32-24
2y= 8
y= 4
A certain game consist of rolling a single fair die and based off as a following numbers listed in the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Therefore, the expected winnings for this game are $3.50.
Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest?
Answer:
Interest Earned ₹ 1,800
Principal Amount ₹ 10,000
Total Value ₹ 11,800
The cost of the loan for Mandy will be $11800 and the total interest for 3 years will be $1800.
What is simple interest?Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time.
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
In another word, if the principle amount is the same in each time period then the interest will also same for every time period.
Given that
Principle amount = $ 10000
Time period = 3 years
Rate of interest = 6%
Rate of interest at the end of 1st year
10000 × 6/100 ⇒ $600
Since in simple interest rate of interest remain same so
Rate of interest for 3 years
3 × 600 = $ 1800 hence rate of interest will be $1800.
Cost of the loan = principle amount + total interest
Cost of the loan = 10000 + 1800 ⇒ $11800 will be the cost of the loan.
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The area of a rectangular wall of a barn is 175 square ft.it’s length is 6feet longer than twice its width.find the length and width of the wall barn.
Answer:
[tex]L =21.945[/tex] --- Length
[tex]W = 7.9725[/tex] --- Width
Step-by-step explanation:
Given
Let
[tex]L \to Length[/tex]
[tex]W \to Width[/tex]
So:
[tex]Area = 175[/tex]
[tex]L = 6 + 2W[/tex]
Required
The dimension of the rectangle
The area is calculated as:
[tex]Area =L*W[/tex]
This gives:
[tex]175 =L*W[/tex]
Substitute: [tex]L = 6 + 2W[/tex]
[tex]175 =(6 + 2W)*W[/tex]
Open bracket
[tex]175 =6W + 2W^2[/tex]
Rewrite as:
[tex]2W^2+ 6W -175 = 0[/tex]
Using quadratic formula:
[tex]W = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]W = \frac{-6 \± \sqrt{6^2 - 4*2*-175}}{2*2}[/tex]
[tex]W = \frac{-6 \± \sqrt{1436}}{2*2}[/tex]
[tex]W = \frac{-6 \± 37.89}{4}[/tex]
Split
[tex]W = \frac{-6+ 37.89}{4}, W = \frac{-6- 37.89}{4}[/tex]
[tex]W = \frac{31.89}{4}, W = \frac{-43.89}{4}[/tex]
The width cannot be negative;
So:
[tex]W = \frac{31.89}{4}[/tex]
[tex]W = 7.9725[/tex]
Recall that:
[tex]L = 6 + 2W[/tex]
[tex]L =6 + 2 * 7.9725[/tex]
[tex]L =21.945[/tex]
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?]
Answer:
a) The probability that a randomly chosen specimen has an acceptable hardness is 0.7938.
b) If the acceptable range of hardness is (70-c, 70+c), then the value of c would 95% of all specimens have an acceptable hardness of 5.88.
c) Expected number of acceptable specimens among the ten is 7.938.
d) Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
Step-by-step explanation:
a )
[tex]P(67 < X< 75) = P( (67 - 70) / 3 < X < (75 - 70) / 3 )\\\\= P( - 1 < Z < 1.67) = 0.9525 - 0.1587 = 0.7938[/tex]
b )
[tex]c = 1.96 * 3 = 5.88[/tex] { Since Z = 1.96 for 95% CI refer table.}
c )
Expected number of acceptable specimens among the ten [tex]= 10 * P(67 < X< 75) \\\\= 10 * 0.7938 = 7.938[/tex]
d )
Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
Ang salitang entrepreneur ay hango sa salitang na entrepende na nangangahulugan__________
Answer:
— Ang salitang entrepreneur ay hango sa salitang French na entrepende na nangangahulugang?
Please help!! Will mark brainilest ☺️☺️
Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
Answer:
3
Step-by-step explanation:
+2
Which of the following is(are) the solution(s) to 17x+12= 12?
Answer:
17x+12=12
17x=12-12
17x=0
divide both sides by 17
x=0
rough check
17(0) = 12-12
0=0
I hope this helps
What is the slope of the line represented by the equation f(x) = -3x + 7?
A -7
B -3
C 3
D 7
Answer:
-3
Step-by-step explanation:
in these equations the slope is multiplied by x which is -3 in this one.
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The equation of a line is [tex]y=mx+b[/tex], and m is the gradient which is the slope. Hence, the number with x is the slope, which is [tex]-3[/tex].
Hope that helped.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
Step-by-step explanation:
Wage = rate / hr * the number of hours worked.
Wage = ?
rate = 15.45
time = 29.25 hours
Wage = 15.45 * 29.25
Wage = 451.91
Chet has $1200 invested in a bank account modeled by the function P(n) = 1200(1.002)
Answer:
Answer: 3) R(n) = 1200(1.002)n - 100n
Step-by-step explanation:
After n months, which function represents Chet’s net worth, R(n)?
(1) R(n) = 1200(1.002)n + 100n
(2) R(n) = 1200(1.002)12n + 100n
(3) R(n) = 1200(1.002)n - 100n
(4) R(n) = 1200(1.002)12n - 100n
Answer: 3) R(n) = 1200(1.002)n - 100n
Net worth is the amount of his savings minus his debt,
Everything in the problem is in terms of months, so there is no need to multiply the exponent by 12, which would convert n years into months.
What is the output of the following function for x=2
F(x)= 2x^4-x^3+5x-9
Answer:25
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[?]
The missing side 'a' of the triangle ABC is 96.80 units.
What is a triangle?
A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
Let ABC be the triangle and a,b,c be the respective sides of the triangle.
The diagram below shows that the triangle with their dimensions.
The dimensions are
A=60°, b=50, c=48.
The two sides and one angle of the triangle are given.
The missing side a can be found by using the law of cosines,
[tex]a=\sqrt{b^{2}+c^{2} -2abcosA }[/tex]
Substitute the above values,
⇒ [tex]a=\sqrt{50^{2}+48^{2} -2(50)(48)cos60 }[/tex]
⇒ [tex]a=\sqrt{2500+2304-4800(-0.9524)}[/tex]
⇒ [tex]a=\sqrt{2500+2304+4571.58}[/tex]
⇒ [tex]a=\sqrt{9375.58}[/tex]
⇒ [tex]a=96.82[/tex] ≈ [tex]96.80[/tex]
Hence we can conclude that the missing side 'a' of the triangle ABC is 96.80 units.
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Find the volume of the solid. PLEASE HURRY ASAP
is the sum of two rational numbers sometimes zero ture or false?
Answer:
True.
Step-by-step explana
-4/5 + 4/5 is 0
at the present time, gerald is eight less than five times his nephews age. seven years ago gerald was 9 times his nephews age.
(A)if g represents geralds age now and n represents his nephews age today. use a system of equations that could be used to model this scenario?
(B)than use the equations to determine algebraically the ages of both Gerald and his nephew.
(C)than determine in how many years Gerald will be three times as old as his nephew?
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean, ayy
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that sh*t in slow motion, yeah
I feel like an astronaut in the ocean
help pls
Draw a line segment AB=8cm. Construct angle BAC=angle ABC=60 DEGREE.
Now draw the angular bisector of each angle of angle ABC.
pls help
Answer:
Step-by-step explanation:
Bisection implies dividing a given segment into equal haves by construction. So that in the given question, angle ABC would be divided into equal parts.
After drawing segment AB to given length, use a compass to construct the required angle ABC. Then use the ends of the arc for the angle to bisect the angle.
The construction to this question is herewith attached to this answer for more clarifications.
Ms.James shared 5/8 of the candies she had in a bag and had 15 left.How many candies did she have before sharing?
Answer:
40
Step-by-step explanation:
If you take 15, and divide it by the 3 out of the 3/8 left, you get 5. You then multiply 5 by 8 to get the full amount of candies she had before sharing, 40.
I hope this helped!
Thanks!
Your friend in answering,
~Steve
Answer:
40.
Step-by-step explanation:
If 15 candies are the rest of 3/8, then the total candies were 40.
A rectangular storage container with an open top is to have a volume of 14 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container.
Answer:
C(min) = 277.95 $
Container dimensions:
x = 2.822 m
y = 1.411 m
h = 3.52 m
Step-by-step explanation:
Let´s call x and y the sides of the rectangular base.
The surface area for a rectangular container is:
S = Area of the base (A₁) + 2 * area of a lateral side x (A₂) + 2 * area lateral y (A₃)
Area of the base is :
A₁ = x*y we assume, according to problem statement that
x = 2*y y = x/2
A₁ = x²/2
Area lateral on side x
A₂ = x*h ( h is the height of the box )
Area lateral on side y
A₃ = y*h ( h is the height of the box )
s = x²/2 + 2*x*h + 2*y*h
Cost = Cost of the base + cost of area lateral on x + cost of area lateral on y
C = 10*x²/2 + 8* 2*x*h + 8*2*y*h
C as function of x is:
The volume of the box is:
V(b) = 14 m³ = (x²/2)*h 28 = x²h h = 28/x²
C(x) = 10*x²/2 + 16*x*28/x² + 16*(x/2)*28/x²
C(x) = 5*x² + 448/x + 224/x
Taking derivatives on both sides of the equation we get:
C´(x) = 10*x - 448/x² - 224/x²
C´(x) = 0 10x - 448/x² - 224/x² = 0 ( 10*x³ - 448 - 224 )/x² = 0
10*x³ - 448 - 224 = 0 10*x³ = 224
x³ =22.4
x = ∛ 22.4
x = 2.822 m
y = x/2 = 1.411 m
h = 28/x² = 28 /7.96
h = 3.52 m
To find out if the container of such dimension is the cheapest container we look to the second derivative of C
C´´(x) = 10 + 224*2*x/x⁴
C´´(x) = 10 + 448/x³ is positive then C has a minimum for x = 2.82
And the cost of the container is:
C = 10*(x²/2) + 16*x*h + 16*y*h
C = 39.82 + 158.75 + 79.38
C = 277.95 $
If you apply these changes to the linear parent function, f(x) = x, what is the
equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)
Answer:
The equation of the new function is [tex]g(x) = 7x + 9[/tex]
Step-by-step explanation:
Vertically compress by a factor of 7.
Vertically compressing a function by a units is the same as:
[tex]g(x) = f(ax)[/tex]
In this question:
[tex]f(x) = x, a = 7[/tex]. So
[tex]g(x) = f(7x) = 7x[/tex]
Shift up 9 units.
Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:
[tex]g(x) = 7x + 9[/tex]
The equation of the new function is [tex]g(x) = 7x + 9[/tex]
5. Simplify: 2(4X+3)-(7X+6)
6. Find the perimeter of the metallic sheet
below
n
6
3n
3n
5
7. Write an expression for the sum of on-
sixth of m and one-seventh of n, minus 7
8. Simplify 5-³ x 5⁴ x 2²
9. Find the L.C.M of 2x3², 2x3x7 and 2x3²x5
10. What is the place value of 4 in the number
2043507?
11. Find the G.C.F OF 18,42 and 90
Answer:
hshdjdjdjffhdiosekskskdkcjfiririrotr8tti5tittttit4i5i6i6832wy
PLEASE IM BEGGING ILL GIVE YOU BRAINIEST:
100 students are interviewed to see which of biology, chemistry or physics they prefer.
17 of the students are girls. 3 of the girls like biology best.
24 of the boys prefer physics.
8 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
32%
Step-by-step explanation:
3 girls like biology, 8 like chem and the rest prefer physics. 28 people like chemistry, and 24 boys like physics. This leaves 29 boys and 3 girls liking bio.