The net percentage lost on the stock is 4%
How to determine the net percentage?Let the value of the stock be represented with x.
When it goes down by 20% on Monday, the value is:
Value = (1 - 20%) * x
Value = 0.8x
When it goes up by 20% on Tuesday, the value is:
Value = (1 + 20%) * 0.8x
Value = 0.96x
Recall that the initial value is x.
So, the profit is:
Profit = 0.96x - x
Evaluate the difference
Profit = -0.04x
Express as percentage
Profit = -4%x
Negative value represent a percentage lost.
Hence, the net percentage lost is 4%
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What is the z score associated with sleeping 503 minutes per night
Answer:
you need to mutiply zero meana503 neary by 500
One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.? Enter your answer in the box. degrees
PLZ HELP!!!! 50 POINTS !!!!
Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
The number of students, y, still participating in the final round of a school spelling bee compared to the number of spelling words attempted, x, can be represented by a scatter plot with a negative, linear association. Which equation for a line of best fit could be used to represent the number of students still participating in the final round of the school spelling bee given a number of spelling words attempted?
The possible line of best fit is given by y = -0.5x + 10
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the students still participating in the final round while x represent the number of spelling words attempted.
Since the line of best fit has a negative, linear association, this means that the slope is negative. A possible linear function is:
y = -0.5x + 10
The possible line of best fit is given by y = -0.5x + 10
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I need a lil help, I am some how stuck here in math.
a. The value of c in the probability mass function when x is a discrete random variable is 0.15
b. The value of P(x > 3) is 0.25
c. The value of P(3 ≤ x ≤ 5) is 0.15
d. the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
What is probability mass function?In probability mass function, sum of the probabilities for all possible values of x must be equal to 1
Thus,
0.2 + 2c + 0.2 + c + 0.1 = 1
Solve for c
c = 0.15
Hence, the probability mass function for x can be rewritten as;
x: 0 1 2 4 10
p(x): 0.2 0.3 0.2 0.15 0.1
To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10
sum of their probabilities
P(x > 3) = P(x = 4) + P(x = 10)
= 0.15 + 0.1
= 0.25
To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:
P(3 ≤ x ≤ 5) = P(x = 4)
= 0.15
To find P(x < 6 | x ≥ 1), use the formula for conditional probability:
P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)
To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive
P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)
= 0.3
To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:
P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)
= 0.85
Therefore, we have
P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353
Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.
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Tina baked some cookies. 12 of her cookies were peanut butter. 12 of the peanut butter cookies also had chocolate chips. What fraction of the cookies were peanut butter and had chocolate chips?
Answer:
12/12 or 1
Step-by-step explanation:
Tina baked 12 peanut butter cookies, and it is said that 12 of them had chocolate chips. So, we can make a fraction, being 12/12
The following are infinite geometric series. For which infinite series could find the sum using a formula?
A) -2+6+(-18)+54+(-162)+...
B) 3+12+48+192+768+...
C) 1+2+4+8+16+...
D) 8+4+2+1+1/2+...
Answer:
D) 8 + 4 + 2 + 1 + 1/2 + ...
Step-by-step explanation:
The sum of an infinite geometric series can be found when the absolute value of the common ratio, r, is less than 1.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\quad $|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)
To determine which of the given infinite geometric series can be summed using the formula, calculate the value of r for each series. To do this, divide a term by the previous term.
Given infinite geometric series:
-2 + 6 + (-18) + 54 + (-162) + ...\(\implies r=\dfrac{6}{-2}=-3\)
As r is not in the interval −1 < r < 1, the sum of the infinite series cannot be found using the formula.
Given infinite geometric series:
3 + 12 + 48 + 192 + 768 + ...\(\implies r=\dfrac{12}{3}=4\)
As r is not in the interval −1 < r < 1, the sum of the infinite series cannot be found using the formula.
Given infinite geometric series:
1 + 2 + 4 + 8 + 16 + ...\(\implies r=\dfrac{2}{1}=2\)
As r is not in the interval −1 < r < 1, the sum of the infinite series cannot be found using the formula.
Given infinite geometric series:
8 + 4 + 2 + 1 + 1/2 + ...\(\implies r=\dfrac{4}{8}=\dfrac{1}{2}\)
As |r| < 1 the sum of the infinite series can be found using the formula.
Therefore, the infinite series for which the sum can be found by using the formula is:
D) 8 + 4 + 2 + 1 + 1/2 + ...I don't understand this, help me?
Answer:
Hello' I think you forgot to add a picture
I need help please! It would be very helpful ;) if ya helped me 0-0
Answer:
im thinking B. or C.
Step-by-step explanation:
again not sure
again sorry if wrong
need help with geometry
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
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What equation of the line which passes through the point (-1, 2) and is parallel to the line y=x+4
Answer:
Thus, the equation of line for point (-1, 2) is y = x + 3.
Step-by-step explanation:
Answer:
The equation of the line is y = x + 3.
Step-by-step explanation:
A line that is parallel to y=x+4 and passes through the point (-1,2) will have the same slope as y=x+4. The slope of y=x+4 is 1, so the equation of the line will be in the form y = mx + b, where m=1. To find b, we can plug in x = -1 and y = 2 into the equation and solve for b.
y = mx + b
y = 1 * -1 + b
y = -1 + b
b = y + 1
b = 2 + 1
b = 3
Mr. Bruce has some clay with a mass of 24 kilograms. If he puts the same amount of clay into 6 bags, how many grams of clay are in each bag? I NEED THE EXPLANATION
Answer:
4000grams in each bag
Step-by-step explanation:
Assume he put x amount of clay into each bag, he then put 6x into 6 bags.(since the question didn’t mention, I assume he put every clay he has into the bags)
6x=24kg
x=4kg
Since the question is asking for grams not kilograms:
4kg=4000g
What is the value of x in the triangle?
Answer:
3 = x
Step-by-step explanation:
Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.
\(c^{2} = a^{2} + b^{2}\)
Our a and b are the same, so I will change them to "x" and combine them.
\(c^{2} = 2(x)^{2}\)
Now we plug in our "c" and square it ("C" in this case is: \(3\sqrt{2}\) )
\(18 = 2(x)^{2}\)
\(9 = x^{2}\)
3 = x
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer:
a) ∠VUW
b) VY
c) XYV
d) 180°
e) 65°
Step-by-step explanation:
Part A:A central angle is an angle that creates an arc in a circle, while also having its vertex as the center of the circle.
Here the center is U. So, the vertex of the angle must include U.
This means that there are multiple answers to part a.
The answers can be:
∠VUW
∠WUX
∠XUV
Part B:A minor arc is any arc that doesn't exceed 180°.
The possible answers for part b, using this definition are:
WV
VY
XY
Part C:The answer you inputted here is incorrect.
The order of the letters matter.
A tip for you to never mess these up is to trace the letters you've chosen with your finger and see if that image you make with your finger matches up with the shape you wanted to make.
An arc that makes a semicircle is an arc that connects the endpoints of the diameter. The diameter in this case is VX.
This means that your answer must start with V and end with X, or the other way around. (Meaning you could start with x and end with v, but always make sure you keep the endpoints of the diameter as the endpoints of the arc.)
The possible answers for this part are either:
VYX or VWX
Part D:This arc intercepts the diameter, which is a straight line and a central angle.
The angle of a diameter is 180°.
The arc of an intercepted central angle has the same measure of the central angle itself.
So, the measure of VWX is 180°.
Part E:If an arc intercepts a central angle, then the arc has the same measure as the central angle.
This rule works the other way around, too.
So, the central angle has the same measure as the minor arc that it intercepts.
Measure of arc VUW is 65°, so m∠VUW is also 65°.
You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
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3/4x4/5 in simplest list for
Answer:
3/5
Step-by-step explanation:
3/4 * 4/5= 12/20= 3/5
Hello please please please
Answer:
Step-by-step explanation:
Since d=50t and I don’t see your options.
d is the dependent variable and t is the independent variable.
d is the distance traveled and t is the time traveled.
WILL BRAINLEIST IF CORRECT!!!!!!
Express the product (rad 7 – 3) (rad 7+ 3)in simplest form.
What is the factorization of the polynomial below? 9x^2+12x+4
Answer:
(3x+2)^2
Step-by-step explanation:
You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)
Answer:
a. (23.4%, 38.9%)
Step-by-step explanation:
Р = x/∝ = 52/167 = 0.3114
At 95% confidence level
∝ = 1 - 0.95 = 0.05
Zerit = Z0.05/2 = 1.96
Р ± Zerit \(\sqrt{P(1-P) / n}\)
= 0.3114 ± 1.96 \(\sqrt{0.3114(1-0.3114) / 167}\)
= 0.3114 ± 0.0702
= 0.2412 or 0.3816
= 24.1% or 38.1%
Closest Option = 23.4%, 38.9%
A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
The formula for calculating the confidence interval based o proportion is expressed according to the formula:
\(p\pm z\sqrt{\frac{p(1-p)}{n} }\)
z is the z-score at 95% confidence interval
p is the proportion
n is the sample size
Given the following parameters
p = 52/167 = 0.31
z = 1.96
n = 167
Substitute the given parameters into the formula to have:
\(CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)\)
Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)
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what is the surface area of a sphere with a radius of 12 centimeters
A) 302cm^2
B) 452cm^2
C) 576cm^2
D) 1810cm^2
The surface area of the sphere is 1810 cm²
What is a sphere?A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of sphere is expressed as;
A = 4πr². where r is the radius.
A = 4 × 3.14 × 12²
A = 1809.7 cm²
approximately to the nearest whole number
A = 1810 cm²
Therefore the surface area of the sphere to the nearest whole number is 1810 cm².
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In one season, a basketball player missed 15% of her free throws. How many free throws did she attempt if she made 102 free throws? Write the exact answer. Do not
round
Answer:
120 free throws
Step-by-step explanation:
If she misses 15% of her free throws, that means she makes 85% of them.
Find how many she attempted by dividing 102 by 0.85:
102/0.85
= 120
So, she attempted 120 free throws
The number of free throws that were attempted is 120 free throws.
Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:
= 100% - 15% = 85%
Therefore, 85% of x = 102
0.85x = 102
x = 102/0.85.
x = 120
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A multiplication table. In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted. In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted. Look at the highlighted portions in the rows for 3 and 6. What do the two sets of numbers have in common? They both show products of multiplying by
The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A multiplication table.
In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.
In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.
Look at the highlighted portions in rows 3 and 6.
The common number in both sets will be 18.
The row labeled 6 is the multiplication of the row labeled 3 with 2.
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Answer: the person above is wrong
its 3, 4, 5, 6, and 7
A linear function contains the following points.
ху
0 7
4 -13
What are the slope and y-intercept of this function?
Answer:
5
Step-by-step explanation:
its 5
Answer:
The slope is -5
The y-intercept is (0, 7)
Step-by-step explanation:
Took the test, hope this helps.
Please hellp I’m really confused
Answer:
Start at the origin and plot the points.
Step-by-step explanation:
For A, start at the origin and then go 4 units to the left.
For B, start at the origin and then go 4 units up.
For D, start at the origin and then go 4 units to the right.
For C, start at the origin and then go 4 units down.
Answer:
Here you go
Step-by-step explanation:
the image should help
A line is represented by the equation y = 3x - 7. Which statement about the line is TRUE?
The slope is -3.
The line has a positive slope.
The point (1, 4) lies on the line.
The line is parallel to the line whose equation is y = 2x - 7.
Answer:
The line has a positive slope
Step-by-step explanation:
The slope is the coefficient of x. Here, the slope is 3, which is positive.
suppose y varies inversely as x and y=12 when x=6 find y if x=8
Answer:
y = 9
Step-by-step explanation:
given that y varies inversely as x then the equation relating them is
y = \(\frac{k}{x}\) ← k is the constant of variation
to find k use the condition y = 12 when x = 6
12 = \(\frac{k}{6}\) ← multiply both sides by 6 to clear the fraction
72 = k
y = \(\frac{72}{x}\) ← equation of variation
when x = 8 , then
y = \(\frac{72}{8}\) = 9
Solve the equation. x2 + 18x + 81 = 25
x=-4, -14
Hope this helped! :T
The exponential function h whose graph is given below, can be written as h(x)=a*b^x Complete the equation for h(x)
Answer:
h(x) = 3*2^xStep-by-step explanation:
Given
Equation h(x)=a*b^x and its graphTwo points given on the graph:
h(0) = 3 and h(1) = 6Substitute the coordinates and simplify:
ab^0 = 3 ⇒ a = 3ab^1 = 6 ⇒ ab = 6Divide the second equation by the first to find the value of b:
b = 6/3 = 2The equation is:
h(x) = 3*2^xAnswer:
h(x) = 3*2^x
Step-by-step explanation:
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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Athletes in a particular sport are classified as either offense or defense. The distribution of weights for the athletes classified as offense is approximately normal, centered at 200 pounds, and ranges from 150 pounds to 250 pounds. The distribution of weights for the athletes classified as defense is approximately normal, centered at 300 pounds, and ranges from 250 pounds to 350 pounds. There are 1,000 athletes in each classification. Which of the following is the best description of a histogram of the weights of all 2,000 athletes?
A. Skewed to the right (positively skewed).
B. Skewed to the left (negatively skewed).
C. Approximately uniform and centered at 250 pounds.
D. Approximately normal and centered at 250 pounds.
E. Bimodal.
The best description of the histogram for the 2000 athletes will BE a BIMODAL distribution because two distinct peaks will be formed by the
The distribution has two obvious groups; The OFFENCE and DEFENSE each of which has a NORMAL distribution.
For a NORMAL distribution, we have a peak centered in between to tails.
• The left tail of the offense class is about 150
• Centre or peak at 200
• Right tail at about 250
The right tail of the offense class correlates to the left tail of the defense class which ranges from of 250 to 350 with it's centre at 300.
An histogram in the form of the picture attached below will be obtained.
Hence, there are two distinct peaks and the right tail of one distribution is synonymous with the left tail of the other.
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