Answer:
81.5
Step-by-step explanation:
make a proportion
20/100 = 16.3/x
Bev asked 5 friends how many books they each read last month.
She put her data in a table and found the total number of books read
Find the mean and the median of the data set.
Determine which of these values is greater.
A. The median, 5, is greater than the mean, 2.
B. The median, 5, is greater than the mean, 4.
C. The mean,5, is greater than the median,2
D. The mean,4, is greater than the median,3
Answer: C
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
took the test on ap ex
108 identical books have a mass of 30 kg.Find
the mass of 150 such books
the number of such books that have mass of 20 kg
Answer:
41.67 kg
72 books
Step-by-step explanation:
mass of 150 books = 150/108 × 30 kg
= 41.67 kg
number of books = 20/30 × 108 books
= 72 books
(10a⁵b⁴-15a⁴b⁵+5a³b³)÷(-5a³b³)
Answer:
[tex]\bold{-2a^2b+3ab^2-1}[/tex]Step-by-step explanation:
[tex](10a^5b^4-15a^4b^5+5a^3b^3)\div(-5a^3b^3)=\dfrac{10a^5b^4-15a^4b^5+5a^3b^3}{-5a^3b^3}=\\\\\\=\dfrac{10a^5b^4}{-5a^3b^3}+\dfrac{-15a^4b^5}{-5a^3b^3}+\dfrac{5a^3b^3}{-5a^3b^3}=-2a^2b+3ab^2-1[/tex]
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts
Number of T-Shirts Total Cost (dollar)
12
156
17
211
22
266
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
ok
Answer:
12
Step-by-step explanation:
hi
Equation which describe relationship between total cost and number of t-shirt is [tex]c(t)=75.93e^{0.06t}[/tex].
Data given are ,
Number of t-shirt (t) total cost c(t)
12 156
17 211
22 266
According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.
Let, [tex]c(t)=Ae^{kt}[/tex]
Substitute , t=12 and c(t) = 156
We get, [tex]156=Ae^{12k}.......(1)[/tex]
Substitute , t=17 and c(t) = 211
We get, [tex]211=Ae^{17k} ........(2)[/tex]
After solving above equations.
We get, A = 75.93 and k = 0.06
Thus, [tex]c(t)=75.93e^{0.06t}[/tex]
Learn more:
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Which volume formula(s) could be used to calculate the volume of a rectangular
pyramid? Hint: There is more than one.
Select 3 correct answer(s)
OV= Bh
Oy = {Bh
Oy = {lwh
Oy = Bh
3
Given:
The given volume formulas to calculate the volume of a rectangular
pyramid.
To find:
The correct volume formula.
Solution:
The volume of a rectangular pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area of the rectangular pyramid and h is the vertical height of the rectangular pyramid.
Therefore, the correct volume of a rectangular pyramid is [tex]V=\dfrac{1}{3}Bh[/tex].
Note: In the given problem, the options are not in correct form.
can someone help me pleaseeeeee
the measures of the angles of a triangle are shown in the figure below. solve for x
Answer:
67 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. So...
23 + x + 90 = 180
113 + x = 180
x = 67 degrees
no wonder why u lookin all aids
Answer:
cuz im Not very smarttt
Step-by-step explanation:
at all
Jose purchased 3pounds of pasta and 12 ounces of cheese to make macaroni and cheese.what is the total weight in ounces of the pasta and cheese combined
Answer:
60 ounces
Step-by-step explanation:
3 pounds = 48oz+12oz=60oz
what is the sum of the interior angle in a kite
Answer:
the sum of the interior angles = 360°
A kite has 4 sides.
This is the formula for the sum of the interior angles of any polygon:
N = number of sides
the sum of the interior angles = (N x 180°) - 360°
so, N = 4, then:
(4 x 180°) - 360° = 360°
Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.
Answer:
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
Step-by-step explanation:
Let
Hourly wage at the library = x
Hourly wage at the coffee cart = y
On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50.
Hence:
3x + 2y = 36.5.... Equation 1
On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50.
2x + 5y = 50...... Equation 2
Combining both Equations
3x + 2y = 36.5.... Equation 1
2x + 5y = 50...... Equation 2
We solve using Elimination method, Multiply Equation 1 by 2 and Equation 2 by 3 which are coefficients of x to eliminate x
6x + 4y = 73 .. Equation 3
6x + 15y = 150...... Equation 4
Subtract Equation 3 from Equation 4
11y = 77
y = 77/11
y = 7
Solving for x using Equation 2
2x + 5y = 50...... Equation 2
2x + 5 × 7 = 50
2x + 35 = 50
2x = 50-35
2x = 15
x = 15/2
x = 7.5
Therefore,
Hourly wage at the library = x = $7.5
Hourly wage at the coffee cart = y = $7
Which product is Least 1/2×595 or 1/20×595 or 2×595 or 18/5×595
Answer:
1/20 x 595
Step-by-step explanation:
1/20 is the lowest fraction in this situation so lower fractions and multiplying whole numbers will be lower than 1/2
(-3)(-3)(-5)
________
3
Which angles are adjacent angles?
Answer:
Step-by-step explanation:
Last one for this one
Answer:
Try 64. I think its right. I could be wrong though
Step-by-step explanation:
The tile showen are placed in a bag you randomly select one of the tiles return it to the bag and randomly selecting Lo tile what is the probability that the first number divided by the second number is greater than zero
Answer:
15
Step-by-step explanation:
The probability that the first number divided by the second number is greater than zero is 1/3
What is probability?Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Tiles are numbered -2,-1,1,2
So, possibility first number divided by the second number is greater than zero
-2/-1=2
-2/1=-2
-2/2=-1
-1/-2= 0.5
-1/1=-1
-1/2=-0.5
1/-2=-0.5
1/-1=-1
1/2=0.5
2/-2=-1
2/-1=-2
2/2=1
Probability the first number divided by the second number is greater than zero = 4/12=1/3.
Learn more about probability here:
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Circle has a circumference of 38 cm
What is the length of the radius,
6 cm
18 om
36 cm
72 cm
[tex]circumference \: of \: circle \: = 2 \: \pi \: r[/tex]
38 = 2πr
r = 38/2π
r = 38÷6.28
r = 6 cm
Drag expressions into order to show a way to find 4 × 3/8
Step-by-step explanation:
[tex]4 \times \frac{3}{8} [/tex]
[tex] \frac{4}{1} \times \frac{3}{8} [/tex]
=12/8
=1 4/8=
= 1 1/2
Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?
Answer:
8,138.88 mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 9 mm
Height, h = 32 mm
Volume of a cylinder = πr²h
= 3.14 × (9 mm)² × 32 mm
= 3.14 × 81 mm² × 32 mm
= 8,138.88 mm³
Volume of a cylinder = 8,138.88 mm³
Quantity of pepper that will fit in the shaker = 8,138.88 mm³
Questions and Answers
1.
A is 40% of B. what percentages
Discuss
A
6090
B.
Answer:
yeah thats right good job keep up the good work and keep doing ur thing good job
Step-by-step explanation:
A 2-pack of sweatshirts costs $18.09. What is the unit price, rounded to the nearest cent?
Answer:
9.04
Step-by-step explanation:
18.09÷2=9.045
Rounded to the nearest cent 9.04
What two number add up to 10 multiply by 24
Answer:
the two numbers are six and four
Step-by-step explanation: 6+4=10 6x4=24
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances
Answer:
The 90% confidence interval, C.I = (0.693, 0.7307)
Step-by-step explanation:
Catalysts 1 and catalyst 2 have the following statistical data;
Catalyst 1
The number of batches in the sample, n₁ = 12
The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85
The sample standard deviation, s₁ = 4
Catalyst 2
The number of batches in the sample, n₂ = 10
The average yield, [tex]\overline x_2[/tex] = 81
The standard deviation, s₂ = 5
F-test = s₂²/s₁² = 5²/4² = 1.5625
The degrees of freedom, df = n₁ + n₂ - 2
∴ df = 12 + 10 - 2 = 20
The critical-t at 90% confidence level = 1.725
The F-test < The critical-t, we pool the variance
The 90% confidence interval with the assumption of equal variance is given as follows;
[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48
Therefore, we get;
[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]
The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).
PLEASE HELP WILL GIVE BRAINLIEST:) If S (0,2) is the midpoint of RT and the coordinates of T are (3,5), find the coordinates of R.
Answer:
(-3,-1)
Step-by-step explanation:
So we need to find a number, x=a, such that when we average that number and x=3, we get x=0.
Since we want x=0 to be middle and x=3 is 3 units right of 0, then we are looking for number 3 units left of 0 which is x= -3.
Since we want y=2 to be the middle and y=5 is 3 units above 2, then we are looking for a number 3 units below 2 which is y=-1.
The other endpoint is (-3,-1).
Let's average (-3,-1) and (3,5).
(-3+3)/2=0/2=0
(-1+5)/2=4/2=2.
Check mark.
A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?
P(Y and R) = StartFraction (8 P 1) (5 P 1) Over 25 P 2 EndFraction
P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
P(Y and R) = StartFraction (1 C 8) (1 C 5) Over 2 C 25 EndFraction
P(Y and R) = StartFraction (1 P 8) (1 P 5) Over 2 P 25 EndFraction
Answer:
The answer is B! P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
Answer:
The Second Option
Step-by-step explanation:
Edge '21
The question is "FIND THE VALUE OF 7".
the answers are 27, 5,040, 4,480, and 28.
Find the volume of the prism below.
3 ft
8 ft
6 ft
Answer:
3: 27
8; 512
6; 216
Step-by-step explanation:
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius
Answer:
Step-by-step explanation:
For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius
The formula for circumference of a circle = 2πr
Circumference = 56.52 inches
r = Circumference/2π
r = 56.52/2π
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax
Answer:
$204.98
Step-by-step explanation:
Step 1: Add both item cost
[tex]99.90 + 89.90 = 189.80[/tex]
Step 2: Find the sales tax of the result
[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]
Step 1: Convert 8% to fraction[tex]8\%= \frac{8}{100}[/tex]Simplify[tex]\frac{8}{100} = \frac{2}{25}[/tex]Step 2: Convert 189.80 to a fraction[tex]189.80 = \frac{189.8}{1}[/tex]Step 3: Set it up[tex]\frac{2}{25}\times \frac{189.8}{1}[/tex]Step 4: Cross divide[tex]189.80 \div 25 = 7.592\\2 \div 1 = 2[/tex]Step 5: Multiply the result[tex]7.592 \times 2 = 15.184[/tex]Step 3: Add the result from the total cost of both items
[tex]189.80 + 15.184 = 204.98[/tex]
The total cost of the hats and boots including sales tax is 204.98 dollars