Answer:
5
Step-by-step explanation:
20 divided by 4 equals 5
or
4 times 5 equals 20
or
4+4+4+4+4=20
or
5+5+5+5=20
b. Sara correctly answered 84% of the questions
on her math test. If there were 25 questions on
the test, how many questions did she get
correct? Write a proportion to model the
problem and answer the question.
Answer:
21
Step-by-step explanation:
84% = 84/100
= 0.84
multiply 25 by 0.84 for result
0.84 x 25 = 21
On 31st August 2018, Musk Traders purchased a machine on credit for a cost price of R402 500 (including VAt at 15 percent). Machinery is depreciated over six years according to the straight line basis and there is no residual value on this machine as it is highly specialised. Musk Traders has a 30 June year-end.
Calculate the depreciation and accumulated depreciation for 2019 and 2020
Answer:
The depreciated asset price has to be independent of VAT;
= 402,500/1.15
= $350,000
Annual Depreciation = 350,000/6 years
= $58,333
Musk Trading has a 30 June year end so;
2019September to June = 10 months
Depreciation;
= 58,333 * 11/12
= $48,611
Accumulated Depreciation = $48,611
2020Depreciation = Annual depreciation of $58,333
Accumulated depreciation
= 2019 depreciation + 2020 depreciation
= 48,611 + 58,333
= $106,944
Find the x-values at which f is not continuous.
f(x) = tan(πx/2)
Answer:
[tex]x\neq 1+2n,n\in\mathbb{Z}[/tex]
Step-by-step explanation:
Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:
[tex]f(x)=\tan(x), \\\text{Where }x\neq\frac{\pi}{2}+n\pi, n\in\mathbb{Z}[/tex]
Here, we have:
[tex]f(x)=\tan(\frac{\pi x}{2})[/tex]
So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:
[tex]\frac{\pi x}{2}\neq\frac{\pi}{2}+n\pi[/tex]
Solve for x. Multiply both sides by 2:
[tex]\pi x\neq \pi+2n\pi[/tex]
Divide both sides by π:
[tex]x\neq 1+2n, n\in\mathbb{Z}[/tex]
Therefore, for the function [tex]f(x)=\tan(\frac{\pi x}{2})[/tex], it is not continuous for all Xs [tex]1+2n[/tex] where [tex]n\in\mathbb{Z}[/tex]
The average 12 ounce cola contains 33 grams of sugar. How many grams of sugar are contained in a 20 ounce bottle of soda?
Answer:
55 grams
Step-by-step explanation:
33 times 20 is 660. then you divide 660 by 12 which gives you 55.
There are 55 grams of sugar in a 20-ounce bottle of soda.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Suppose 4 pens cost $20, hence cost of 1 pen is (20/4) = $5.
From this unitary cost, we can determine the cost of any no. of pens.
Given that 12 ounces of cola contain 33 grams of sugar.
∴ 1 ounce of cola contains (33/12) = 2.75 grams of sugar.
Hence in a 20-ounce bottle, there will be (2.75×20) = 55 grams of sugar.
learn more about unitary method here :
https://brainly.com/question/22056199
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Refer to the Journal of Behavioral Decision Making (Jan. 2007) study of how guilty feelings impact decisions. Recall that 57 students were assigned to a guilty state through a reading/ writing task. Immediately after the task, the students were presented with a decision problem where the stated option has predominantly negative features (e.g., spending money on repairing a very old car). Of these 57 students, 45 chose the stated option. Suppose 10 of the 57 guilty-state students are selected at random. Define x as the number in the sample of 10 who chose the stated option.
A) Find p(x=5)B) Find p(x=8)C) What is the expected value (mean) of x?
Answer:
a) 0.5 is the probability of students who selected the stated option.
b) =0.8 is the probability of students who choose the stated option.
c) E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
Step-by-step explanation:
Solution:
Number of students assigned to guilty state = 57
Number of students choose stated option = 45
Randomly Selected students =10
a) Find p(x=5)
x is the number in a sample of 10, who choose the stated option.
Sample number p(s) = 10
P(x) = 5
Probability = p(x) / p(s)
= 5/ 10
=0.5
0.5 is the probability of students who selected the stated option.
(b) Find p(x=8)?
Sample number p(s) = 10
P(x) = 8
Probability = p(x) / p(s)
= 8/ 10
=0.8 is the probability of students who choose the stated option.
(c) Expected (mean) value of x?
The expected value can be calculated by multiplying the probability of an event by the event's amount of times.
E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
I need the answer for this question it is too difficult for me
Answer:
b
Step-by-step explanation:
Use the formulas.
The formula for sphere is volume = 4πr³/3
We are using 3.14 for pi,
So its volume is about 7234.56.
The formula for cone is volume = πr²h / 3
r is the radius and h is the height.
So the volume of the cone is about 3617.28
Now, subtract.
You get 3617.28.
Choice D is the answer.
A test has a mean of 80 and a standard deviation of 4. What score is within o e standard devaluation of the mean
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Mean score (m) = 80
Standard deviation = 4
Acore within one standard deviation of the mean:
Zscore = ± 1
Using the relation:
Zscore = (x - mean) / standard deviation
Where x = score
±1 = (x - 80) / 4
4 = x - 80
±4 + 80 = x
x = - 4 + 80 = 76
x = 4 + 80 = 84
Scire with 1 standard deviation of the mean :
76 = 1 standard deviation below
84 = 1 standard deviation above
{HELP ASAP }WILL GIVE 50+ POINTS AND BRAINLIEST
which statements are correct steps in finding the linear equation of the line that passes through the points -1,7 and 2,4 using the point slope form method. select all that apply
Answer:
y = - x + 6
Step-by-step explanation:
[tex] point \: slope: y - y_{1} = m(x - x_{1})[/tex]
as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.
given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.
when substituted into the equation the unknown variable is the slope which we are solving for.
y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1
(given)
4-7 = m(2--1)
(substitution property of equality)
-3 = m(2--1)
(subtraction property of equality)
-3 = m(3)
(subtraction property of equality)
-3 = 3m
(multiplication property)
-1 = m.
(division property of equality)
m = -1
(symmetric property of equality)
_____________________________
once m is solved you just need the initial values to solve for the actual equation.
y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1
(given)
y - 7 = -1 (x - -1)
(substitution property of equality)
y - 7 = -1 (x + 1)
(subtraction property if equality)
y - 7 = -x - 1
(distributive property of equality)
y = -x - 1 + 7
(addition property of equality)
y = -x + 6
(addition property of equality)
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
fjnjerng ertekjrtker terkjtkert ertkjrenktmermt erktnkermter
2n - 7 = 5?? help pleases
Answer:
n=6
Step-by-step explanation:
2n-7=5 (add 7 to -7 and 5)
2n=12 (divide both sides by two)
Solution:
n=6
Answer:
N = 1
Step-by-step explanation:
1.- 2n - 7 = 5
Subtract 5 on both side of the equal sign
2.- 2 = 2n
Divide 2 on both side to get the "n" by itself
3.- 2 divided 2 is 1
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
Mrs. Meece had 12 out of 20 students pass their math test. What percent of the students passed her test?
Answer:
60%
Step-by-step explanation:
12/20 or 6/10 or 3/5 simplified would be 60% of her students passed their test.
Answer:
The answer is 60%
Step-by-step explanation:
You have to convert the fraction 12/20. You divide this 12/20 which gives you 0.6. Then multiply 0.6 times 100.
How do you do these questions?
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t
Which conversion factors are use to multiplay to 18 cm/ s to get meters per minute
Answer:
18 cm/s means 18 cm in 1 second. When converting 18 cm/s into meters per minute, you need to convert 18 cm into meters and 1 second into minute. 18 cm = 18/100 meters. 1 second = 1/60 minutes.
Step-by-step explanation:
Question 3 of 15
Which of the following measurements must be accurate when used in a
grocery store? Check all that apply.
D A. Weight of meat
B. Weight of produce
C. Price of an item
D. Number of customers shopping in one day
Answer:
D,C,B
Step-by-step explanation:
i hope this help you out if it does comment brainly
what is 7 1/8 • 5 2/3
Answer:
40.375
Step-by-step explanation:
I hope this helps
slope =−6/5 y-intercept =2 point slope form
Answer:
[tex]-\frac{6}{5}x +2[/tex]
Step-by-step explanation:
Point slope form is as so:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
Just plug in the information you have in their respective spots of the equation
Solving equations with one variable
answer to this problem please click photo
The angles are complementary.
This means they add to 90 degrees.
(2x + 1) + (x + 5) = 90.
3x + 6 = 90. (Combine like terms)
3x = 84. (Subtract 6 from each side)
x = 28. (Divide 3 from each side)
x = 28
D is correct
PLEASEEEEE HELP THIS IS FOR AP STATS
Many colleges and universities require applicants to submit scores on standardized tests such as the SAT Writing, Math, and Critical Reading (Verbal)
tests. The college your little sister wants to apply to says that while there is no minimum score required, the middle 50% of their students have
combined SAT scores between 1530 and 1850. You'd feel confident if you knew her score was in their top 25%, but unfortunately she took the ACT
test, an alternative standardized test.
How high does her ACT score need to be to make it into the top quarter of equivalent SAT scores?
To answer this question you'll have to standardize all the scores, so you'll need to know the mean and standard deviations of scores for some group
on both tests. The college doesn't report the mean or standard deviation for their applicants on either test, so we'll use the group of all test takers
nationally. For college-bound seniors, the average combined SAT score is about 1500 and the standard deviation is about 250 points. For the same
group, the ACT average is 20.8 with a standard deviation of 4.8.
Answer:
Yes
Step-by-step explanation:
Yes
A package of six pairs of socks costs $18.99. How much does each pair cost?
Answer: $3.17
Step-by-step explanation:
18.99/6=3.165
Answer:
3.165
Step-by-step explanation:
All you had to do was divide 18.99 and 6
What does 8.42 mean in terms of time and distance?
Answer:
I think you need to add more information but this is my guess. It takes (blank) time to travel 8.42 miles
Step-by-step explanation:
The variables x and y have a quadratic relationship. Tripling the value of x causes the value of y to increase by a factor of nine. When x has a value of 3, y has a value of 2. What will be the value of y when x has a value of 9?
Answer:
The value of y when x has a value of 9 is 18
Step-by-step explanation:
Functions
The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.
Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:
[tex]y=kx^2[/tex]
Where k is an unknown constant.
Let's use the given point (3,2) to find the value of k:
[tex]2=k(3)^2[/tex]
[tex]2=9k[/tex]
Solving for k:
[tex]\displaystyle k=\frac{2}{9}[/tex]
The equation is now:
[tex]\displaystyle y=\frac{2}{9}x^2[/tex]
Now find y when x=9:
[tex]\displaystyle y=\frac{2}{9}(9)^2[/tex]
[tex]\displaystyle y=\frac{2}{9}\cdot 81=18[/tex]
The value of y when x has a value of 9 is 18
A real estate agent earned a commission of $7875 for selling a house. If his rate is 5.5%, find the selling price of the house.
WILL GIVE BRAINLIEST Use the drawing tools to form the correct answer on the grid. Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers. Plot four data points and the line of best fit to model how long it takes Caroline to plant flowers.
I cannot use the drawing tools. But, i can explain it to you.
Make a point where it can be at 7 and 4.
Basically, put a point 4 or 5 blocks right of the 7.
Next, put a point where it can be at 21 and 12.
Basically, put a point 11 or 12 block right of the 21.
Answer: You will plot (0,0) which is the beginning, then plot (4,7), then if you multiply 7 times 2 you get 14 flowers. With those 14 flowers you will put them on (8,14) 8 minutes 14 flowers, lastly you will put 12 minutes and 21 flowers down which will be (12,21). since there are 21 flowers and 12 minutes.
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
Carol, Ann, and Liz each bought a toy fish carols fish is 11 inches longer than ann fish liz fish is 8 inches longer than twice the length of ann fish ann fish is 10 inches long
Answer:
2 inches
Step-by-step explanation:
liz's fish is 8 inches longer than ann's and her fish is 10 inches long 10-8=2
What is the equation of the line?
PLZ HELP I'LL AWARD BRAINLIEST !
Answer:
y=3-2x
Step-by-step explanation:
Can i get brainliest please?
Solve for h. h(h − 2) = 0
Step-by-step explanation:
h=2
You and a friend play a video game. You havr a final svore of 50 points, and your friend has a final score I -21 points. By how many points did you win?
find the mean median and mode for 3,5,2,4,3,4,3,5,16
Answer:
I think it will be 3....?
Answer:
mean 5
median 4
mode 3
Step-by-step explanation:
The mean is the average, or add up all the numbers and divide by the number of numbers
(3+5+2+4+3+4+3+5+16)/9
45/9 = 5
The median is the middle number when listed from smallest to largest
2,3,3,3,4,4,5,5,16
Since there are 9 numbers, the middle is the 5th number
2,3,3,3 ,4, 4,5,5,16
The median is 4
The mode is the number that appears most often which is 3 since it appears 3 times