Answer:
[tex]Sales \ Tax \ Amount = Net \ Price \cdot \frac{Sales \ Tax \ percentage}{100}[/tex]
[tex]21.70 = 331.70 \cdot \frac{sales\ tax \ percentage}{100} \\\\\frac{21.70}{331.70} = \frac{sales\ tax \ percentage}{100}\\\\0.0654 = \frac{sales\ tax \ percentage}{100}[/tex]
Sales Tax Percentage = 0.0654 × 100 = 6.54%
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
Directions: Find the surface area of the following solid figures using the given
formula Fill in the blank with the missing number.
(help, i have many assignments to do)
Answer:
for number 2:
(6cm x 4cm) + (6cm x 3cm)
24cm + 18cm + 12cm
2 x 54cm
108cm
for number 3:
80m + 1920m
2,000m
STAAR Review= the ratio of number of boy to girls is 5 to 4 . there are 60 girls how many boys is in the choir
Answer:
75 boys
Step-by-step explanation:
[tex]\frac{5}{4}[/tex] = [tex]\frac{x}{60}[/tex]
4x = 300
x = 75
Answer:
75
Step-by-step explanation:
5/4 = x/60
4x = 300 300 divided by 4 equals 75
It is known that the amount of time needed to change the oil on a car is normally distributed with a standard deviation of 5 minutes. The amount of time to complete a random sample of 10 oil changes was recorded and listed here. Compute the 99% confidence interval estimate of the mean of the population.
11 10 16 15 18 12 25 20 18 24
Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
Will give brainliest to first correct answer!! No links!! Help!!
The data below shows the score of some students on a test
21,27,29,20,22,33,23
(Pic attached)
Which box plot represents the data?
Answer:
the top box plot should be the way to go
Answer:
this is the answer
Step-by-step explanation:
I hope it was helpful
B is the answer
Solve the right triangle. Round decimal answers to the nearest tenth.
PLS PLSS HELPPPP 25 POINTSSS
Answer:
Step-by-step explanation:
[tex]14^2 = b^2+6^2\\b^2 = 14^2-6^2\\b = \sqrt{14^2-6^2} \\ = \sqrt{160}\\ = 12.6491106407[/tex]
Rounding off to nearest tenth:
b ≈ 12.6
tanθ = 6/12.6
[tex]tan^{-1} (6/12.6)\\ = 25.46334506\\[/tex]
Hence angle A ≈ 25.5
Angle B = 180-25.5-90
Angle B = 64.53665494
Hence, Angle B ≈ 64.5
Feel free to mark as brainliest
56 Ib 9 oz equals to how many ounces?
Answer:
905 ounces
Step-by-step explanation:
1lb = 16 ounces
(56 x 16)+9 = 905 ounces
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
Question 1 of 14
Which of the equations or inequalities below are true?
A. -4 + 6 = 1
B. -4 + 6 7-2
C. -4 + 6 24
D. -4+6 s 2
question seems incomplete
there are no notations for inequalities
How do I solve this?
Answer:
need help too
Step-by-step explanation:
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing
What is the coefficient of the 3rd degree
term in this polynomial?
3x2 + x - 2x3 – 10
Answer:
-2
Step-by-step explanation:
[tex]3x^2 + x -2x^3 -10 \\\\3x^2 + x + (-2)x^3 + (-10)[/tex]
Answer:
-2.
Step-by-step explanation:
-2x^3 is the third degree term.
X and y are integers
y=3
x=1
1+3=4
(X+3)4>3(y)
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answer:
A
Step-by-step explanation:
You have a 25 cm piece of ribbon. How many cuts do you need to make to obtain the greatest number of pieces, where each piece is a different length and the length of each piece is a whole number, in centimeters?
Answer:
The cloth length is 400cm
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
honestly the easiest way to do this question is trial and error.
to cut the ribbon into 5 pieces they have to be sizes 3cm, 4cm, 5cm, 6cm and 7cm
The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.
Region Number of counties
North Central 1052
North East 210
South 1376
West 418
Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.
Solution :
From the table,
Number of countries = [tex]$N_i$[/tex]
Mean = [tex]$\overline Y_i$[/tex]
Standard deviation = [tex]$\sigma_i$[/tex]
Margin of error of B = 50,000 acres
So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].
Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex] is given by :
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
Let us complete the numerator
[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]
[tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
[tex]$D=\frac{B^2}{H}$[/tex]
[tex]$=\frac{50000^2}{4}$[/tex]
= 625,000,000
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
[tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1052}{3056}\right]$[/tex]
≈ 76
[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{210}{3056}\right]$[/tex]
≈ 15
[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1376}{3056}\right]$[/tex]
≈ 100
[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{418}{3056}\right]$[/tex]
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
y = 3x - 3 y = x2 + 5x - 2
Answer:
The answer is
(0 , 0)
Good luck!
The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.
Answer:
More than half of the players are under age
40.
Step-by-step explanation:
Evaluating the expression : More than half of the players are under age 40.
Below 40s :
Number of players in 20s = 19
Number of players in 30s = 24
(19 + 24) = 43 players
40s and above :
40s = 8 players
50s = 10 players
60s = 5 players
70s = 2 players
(8 + 10 + 5 + 2) = 25 players
Hence, total number of players below 30s is more Than half of the total players
what is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
A fifth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $.95. Write an expression to show the total amount the student paid. *
Answer:
3x4+3x.95
Step-by-step explanation:
it's just adding the things but there's other ways like 3(4+.95) etc
Consider the following equation. Graph 5x + 6y = 30
PLEASE SHOW STEPS
Answer:
Step-by-step explanation:
Convert the equation into slope-intercept form.
5x-6y =30 Subtract 5x from each side
-6y = -5x + 30 Multiply each term by -1
6y = 5x – 30 Divide each side by 6
y = ⅚x - 5
2. Create a table of different x and y values,
x ⅚x – 5 y
-12 ⅚(-12) – 5 -15
-6 ⅚(-6) – 5 -10
0 ⅚(0) – 5 -5
6 ⅚(6) – 5 0
12 ⅚(12) – 5 5
3. Convert the table to ordered pairs
(-12,-15)
(-6, -10)
(0, -5)
(6, 0)
(12, -5)
4. Plot the points and draw a line through them.
SOMEONE PUT AN ANSWER SO IT DOESNT GET DELETED!!!
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is zx square units,
The area of the cylinder's base is ex square units,
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
THE ANSWER IS B AND E
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
A truck weighs 14,000 pounds how many tons do two truck weigh
Answer:
14 tons
Step-by-step explanation:
1 truck -- 14 000 pounds
2 trucks -- (14 000 * 2) = 28 000 pounds
1 pound --- 0.0005 tons
So, 28 000 pounds --- 14 tons
Thenks and mark me brainliest :)
The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?
Answer:
54.
Step-by-step explanation:
The fraction that are red = 3/(3+5) = 3/8.
So number of red chairs = 3 * 144/8
= 54.
Slove It!!! I need help!
Answer:
6 should be the correct answer!
Step-by-step explanation:
all of the work I did, you can ignore these:
1 x 2 = 2
2 x 2 = 4
2 x (2 - 1) = 2 x 1 = 2
2 + 4 = 6
Answer:
The answer is 6
Step-by-step explanation:
A digital camera usually costs $700. This week it is on sale at a discount of 20%. What
is the sale price of the digital camera?
Answer:
560
Step-by-step explanation:
So we know that 20% goes into 100% 5 times.
700/5 will give you a clean 140, meaning 20% of the price is 140
Thus 700-140 and you get 560 dollars
If you have a calc you could also do 700 x .80 (since .80 is also equal to 80%) and get the same answer
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may be either answered immediately or wait in line for the next available representative. On average, including waiting time, a call requires 4.4 minutes. How many callers, on average are in the system at any given time
Answer:
the number of callers on average are in the system at any given time is 440
Step-by-step explanation:
Given that
The calls that arrive in a call center have an average rate of 100 per min
But it we involve the waiting time so the call needed 4.4 minutes
We need to to find no of callers are in the system at any given time
SO,
= 100 per min × 4.4
= 440
hence, the number of callers on average are in the system at any given time is 440
The same would be considered
NEED HELP! What is the value of x?
Step-by-step explanation:
from the triangle
let angle close to 130⁰ be y
130⁰+y⁰=180⁰(sum of angles on a straight line)
y⁰= 180⁰-130⁰
y = 50⁰
70 + y + x = 180⁰(sum of angles in a triangle)
70 + 50 + x= 180⁰
x= 180⁰-120⁰
x=60⁰
Write the number shown in standard notation.
5.29 x 10
A. 52,900
B. 5,290,000
C. 5,290
D. 529,000
Answer:
It's A
Step-by-step explanation:
5,29×10=52,9
you move coma one place to the right when times 10
Answer:
52.9.
Step-by-step explanation:
[tex]5.29*10=52.9[/tex]
Whenever a number is multiplied by 10, move the decimal one place to the right.
Whenever a number is multiplied by 100, move the decimal two places to the right.
Whenever a number is multiplied by 1000, move the decimal three places to the right.
I'm sure you understand now.
Therefore, the product is 52.9.
However, I do not see an answer choice for this. Perhaps you made a mistake?
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
Answer:
=28
Step-by-step explanation:
3(5 p - 1 p ) - 4 ( 3 p -7) when p = 4
3 (20-4) -4 ( 12 - 7)
60 - 12 -48 +28
= 28
3 ( 5p - p ) - 4 ( 3p - 7 ) =
3 ( 4p ) - 12p + 28 =
12p - 12p + 28 =
0 + 28 = 28
Thus the value of p is not importent at all and the answer is always 28 .