Answer:
The probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Step-by-step explanation:
We are given that The director of the library believes that 13% of the library's collection is checked out.
[tex]\mu = p = 0.13[/tex]
Total no. of books = 774
Standard deviation =[tex]\sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation = [tex]\sqrt{\frac{0.13(1-0.13)}{774}}=0.012[/tex]
We are supposed to find the probability that the proportion of books checked out in a sample of 774 books would be less than 10%
[tex]P(\hat{p}<0.1)\\Z=\frac{x-\mu}{\sigma}\\Z=\frac{0.1-0.13}{0.012}\\Z=-2.48\\P(Z<-2.48)=0.0066[/tex]
So,[tex]P(\hat{p}<0.1)=0.0066[/tex]
Hence the probability that the proportion of books checked out in a sample of 774 books would be less than 10% is 0.0066
Personal Finance: Cost of a Car The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
Answer: $20,700
Step-by-step explanation:
Given that :
List price of car = $24,000
Dealer's cost = 85% of the list price of the car
Dealer acceptance cost = $300 over the cost
Hence, total amount to be paid :
Dealer's cost + dealer's acceptance cost
Dealer's cost = (0.85 * $24,000) = $21,400
Hence, Total cost :
$20,400 + $300 = $20,700
6x-4=3x+4 i need help doing this
the answer would be,,..................... .................................... I have no clue AT ALL¶§§
Answer:
x = 8/3
Step-by-step explanation:
6x-4=3x+4
Subtract 3x from each side
6x-3x-4=3x-3x+4
3x-4 =4
Add 4 to each side
3x-4+4 = 4+4
3x =8
Divide each side by 3
3x/3 = 8/3
x = 8/3
Answer:
hi
Step-by-step explanation:
exact form: 8/3
decimal form:
2.6 repeating sign over six
mixed number form: 2 2/3
Rewrite 8^-12 isIng a positive exponent
Answer:
8^12??
Step-by-step explanation:
what is islng
Answer:
1/[tex]8^{12}[/tex]
Step-by-step explanation:
Express with a positive exponent using a [tex]^{-n}[/tex] = 1/[tex]a^{n}[/tex]
1/[tex]8^{12}[/tex]
Solution
1/[tex]8^{12}[/tex]
Alternate form
≈ 1.45519 x [tex]10^{-11}[/tex]
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
The table shows the makeup of a New Year’s Eve television show. What fraction of the show will be for the audience to speak?
Table:
Introduction: 10%
Skits: 25%
Guests: 45%
Audience: 20%
Answer:
1/5
Step-by-step explanation:
We need to find the fraction of the show will be for the audience to speak. Here, the part of the audience is 20%.
We know that, percent means we need to divide the value by 100 i.e.
[tex]20\%=\dfrac{20}{100}\\\\=\dfrac{2}{10}\\\\=\dfrac{1}{5}[/tex]
So, the required fraction is 1/5.
Help guys, please I needed this answer PLEASE!!!
what is the midpoint of the line segment (-6,3) (-10,7)
Answer:
(-8,5)
Step-by-step explanation:
its what comes in between the two
Sandra has $32 in her purse. She $15 for a CD.Which expression represents this situation.
32+15
-32+15
-32+(-15)
32+(-15)
Which ordered pairs make the inequality true?
x+3y<9
Select each correct answer.
(5,1)
(1,3)
(−2,3)
(−1,4)
Answer:
The ordered pairs (-2,3) and (5,1) make the inequality true.
Step-by-step explanation:
The mean mark of a group of 10 boys is 58. If the mean of 7 of them is 61, what is the mean of the remaining 3 boys
Answer:
The mean of the remaining 3 boys is 51.
Step-by-step explanation:
The mean mark of the entire group ([tex]p_{10}[/tex]), dimensionless, is:
[tex]p_{10} = \frac{1}{10}\cdot \Sigma_{i = 1}^{10} x_{i}[/tex] (Eq. 1)
([tex]p_{10} = 58[/tex])
[tex]\frac{1}{10}\cdot \Sigma_{i=1}^{10} x_{i} = 58[/tex] (Eq. 1b)
Where [tex]x_{i}[/tex] is the mark of the i-th boy, dimensionless.
In addition, we know the following mean marks from statement:
[tex]p_{7} = \frac{1}{7} \cdot \Sigma_{i = 1}^{7} x_{i}[/tex] (Eq. 2)
([tex]p_{7} = 61[/tex])
[tex]\frac{1}{7}\cdot \Sigma_{i=1}^{7} x_{i} = 61[/tex] (Eq. 2b)
[tex]p_{3} = \frac{1}{3}\cdot \Sigma_{i=8}^{10}x_{i}[/tex] (Eq. 3)
Where:
[tex]p_{7}[/tex] - Mean mark of the first 7 boys, dimensionless.
[tex]p_{3}[/tex] - Mean mark of the remaining 3 boys, dimensionless.
By applying sum properties in (Eq. 1b) and using (Eq. 2b) and (Eq. 3), we obtain the mean of the remaining 3 boys:
[tex]\frac{1}{10}\cdot [\Sigma_{i = 1}^{7}x_{i}+\Sigma_{i=8}^{10}x_{i}] = 58[/tex]
[tex]\frac{1}{10}\cdot [7\cdot (61)+3\cdot p_{3}] = 58[/tex]
[tex]7\cdot (61) + 3\cdot p_{3} = 580[/tex]
[tex]3\cdot p_{3} = 153[/tex]
[tex]p_{3} = \frac{153}{3}[/tex]
[tex]p_{3} = 51[/tex]
The mean of the remaining 3 boys is 51.
.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges
Answer:
The answer is below
Step-by-step explanation:
Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of 270 pounds per tree, therefore:
Y(x) = 270 for x ≤ 30
If it is more than 30 trees the yield decreases by 3 pounds, hence:
Y(x) = 270 - 3(x - 30) = 360 - 3x for x > 30
The total yield T is given as T(x) = x × Y
T(x) = x × 270 = 270x for x ≤ 30
T(x) = x(360 - 3x) = 360x - 3x² for x > 30
The maximum yield is at T'(x) = 0
T'(x) = 360 - 6x
360 - 6x = 0
6x = 360
x = 360/6
x = 60
T(6) = 360(60) - 3(60²) = 10800 pounds
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Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
I need help with this question.
Answer:
Angle RQT and Angle RQO
Step-by-step explanation:
These angles share the common vertex of Q and the common side of RQ
Answer:
The first option.
Step-by-step explanation:
The way I always remember adjacent angles is they are kinda beside each other.
What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
The percent decrease is 87%.
Answer:
according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%
Step-by-step explanation:
the percent decrease is 87%
Samantha has 4 1/2 gallons of lemonade for her daughter’s birthday party. Each gallon of lemonade contains 1.5 grams of fat. How many grams of fat are contained in all the lemonade Samantha has for the party?
Answer: 6.75
Step-by-step explanation:
1/2 gallons = 0.75 grams
1 gallons = 1.5 grams
2 gallons = 3 grams
4 gallons = 6 grams
6 + 0.75 = 6.75
I hope this helped!
In the diagram below, the radii of the two concentric circles are 3 centimeters and 7 centimeters, respectively.
What is the area of the shaded region?
Answer:
125.6 cm²
Step-by-step explanation:
Area of the shaded region = area of larger circle - area of the smaller circle
Area of the smaller circle = πr²
π = 3.14, r = 3 cm
Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²
Area of larger circle = πr²
π = 3.14, r = 7
Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²
Area of the shaded region = 153.86 - 28.26 = 125.6 cm²
A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of y? 3 4 5 6
Answer: y=3
Step-by-step explanation:
Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.
To get the measure of y, you can use left and right or top nd bottom.
I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3
You can check it by substituting. 2(3)+4=10 The answer is the measure of the right side, which is the same as the measure of the left side.
I hope this helps you!
Answer:
3
Step-by-step explanation:
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Sammy wants to buy a new mattress priced at $419. He enters into an agreement to pay $26 a month for 24 months. How much will the finance charge be for this purchase?
Can somebody please help me with this math problem
Answer:
According to the question 25% of the students wore jackets.
Thus 25% of 12 wore jackets
The number of students can be found easily by multipling 12 with 25//100
12*25/100
12*1/4
12/4
thus, 3 students
Therefore, option 3 is correct
There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18
Answer:if your meaning 5:2 the answer would be 35:14
Step-by-step explanation:
You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14
You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?
Answer:
Selling price= $13
Step-by-step explanation:
Giving the following information:
The cost of your product is $10, and you are planning a 30% mark-up.
The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.
Selling price= 10*1.3
Selling price= $13
Based on the cost of the product and the mark-up, the price of the product will be $13.
Price of productThis can be fund using the formula:
= Cost of product x ( 1 + markup percentage)
Solving gives:
= 10 x ( 1 + 30%)
= 10 x 1.3
= $13
In conclusion, the product would be $13.
Find out more on cost based pricing at https://brainly.com/question/4144684.
Please select the word from the list that best fits the definition
energy obtained from heat within the earth
Answer:
geothermal
Step-by-step explanation:
energy obtained from heat within the earth-geothermal
Two student clubs plan to share a bus on a trip to the capital.Transportation and lunch for one day is 12 bucks per student.One club has 25 members and the other club has 18 members.What is the total cost of the trip
Answer:
516
Step-by-step explanation:
add 25 and 18 and you get 43 students if you have to pay 12 for every student you'd have to multiply 43 × 12 = 516 so the trip would be 516 in total
Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.
Answer:
El nieto de 14 años de edad recibirá la mayor cantidad.
Step-by-step explanation:
En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.
Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.
Answer: A) 7,200
Step-by-step explanation:
Answer:7200
Step-by-step explanation:
2+2=7200
Is the product of 0.4 * 1.8 greater then or less then 0.4
Answer:
Greater
Step-by-step explanation:
.4*1.8 is .72
.72 is greater than .4
3 ÷ 6/7 i really need help! i will give you brainliest pls HELP
Answer:
7/2
Step-by-step explanation:
---------------------------------------------------------
3.5
---------------------------------------------------------
Can somebody help me with this pleaseee I need help
Answer:
3.225
Step-by-step explanation:
15%= 15/100
therefore 15% tip of 21.50
15/100×21.50 = 3.225