A stock has a P/E ratio of 3.25 and a earnings per share of $9.25. What is the price per share of the stock?
Answer:
$6.00
Step-by-step explanation:
A jeweler had 38 inches of silver chain. She need five times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?
Answer:
304 IN
Step-by-step explanation:
total inches needed for necklace : 38 x 5 = 190
total inches needed for necklace : 38 x 3 = 114
190 + 114 = 304 inches
What is the number?
10% more than a number is 132.
Step-by-step explanation:
10% more = 110% of the number.
110% of the number = 132
100% of the number = 132 * (10/11) = 120.
The number is 120.
Determine if the ordered pair (-5, -1) is a
solution of 2x - y =-11.
Answer:(-5,-1) is not an ordered pair
Step-by-step explanation:
the ordered pair (-5,-1) is directly related to the variables (x,y) making -5=x and -1=y
so to figure out if the ordered pair is a solution you just plug in the number into their respective variable.
so the equation then becomes 2 (-5) - (-1) = -11
once you solve for the left part of the equation you are then left with -9 = -11 which we know is false.
4(6 – 5x)+8(4 – 5x)
Please help
what is the rectangular form of the parametric equations x = 4 cos t and y = 5 sint, where
Let's use some identities to help us solve
\(x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)\)
We know --> \(sin^2(t)+cos^2(t) = 1\)
So:
\(\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1\)
Thus the choice is the second choice
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given two of the equations which can be rewritten as shown below,
x = 4 cos(t)
x/4 = cos(t)
Squaring both sides of the equation,
x²/16 = cos²(t)
y = 5 sin(t)
y/5 = sin(t)
Squaring both sides of the equation,
y²/25 = sin(t)
y²/25 = sin²(t)
Adding the two of the given equations we will get,
(x²/16) + (y²/25) = cos²(t) + sin²(t)
(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1
The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.
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Helppp points and brainlest
Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=3x+1
T(x)=6x
Write the expressions for (t-s)(x) and (t+s)(x) and evaluate (t x s)(4)
to evaluate (t x s)(4), we substitute x = 4 into the expression for (t x s)(x). This gives us (18x + 6)|x=4, which simplifies to 72 + 6 = 78.
(t-s)(x) = 6x - (3x+1) = 3x - 1
(t+s)(x) = 6x + (3x+1) = 9x + 1
(t x s)(4) = (6x)(3x+1)|x=4 = (18x + 6)|x=4 = 72 + 6 = 78
First, we need to define the functions s and t given by s(x)=3x+1 and t(x)=6x. We can then use these functions to calculate (t-s)(x) and (t+s)(x). To calculate (t-s)(x), we subtract s(x) from t(x). This gives us 3x - 1. To calculate (t+s)(x), we add s(x) and t(x). This gives us 9x + 1. Finally, to evaluate (t x s)(4), we substitute x = 4 into the expression for (t x s)(x). This gives us (18x + 6)|x=4, which simplifies to 72 + 6 = 78.
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the following histogram represents the distribution of scores on a ten point quiz. step 1 of 3 : which score has the highest frequency?
The highest frequency of any score in the histogram would be 5/20 = 0.25.
The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.
Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.
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IM GIVING 43 POINTS PLS ANSWER ASAP I MARK BRAINLIEST
Answer:
m = 3Step-by-step explanation:
Get two points and use slope formula
Points
(50, 40) and (60, 70)Find the slope:
m = (y₂ - y₁)/(x₂ - x₁) m = (70 - 40)/(60 - 50) = 30/10 = 3What is the value of t?
Answer:
Step-by-step explanation:
The whole angle = 68 degrees.
The bottom part = 26 degrees.
The whole angle = t + 26 = 68
t + 26 = 68 Subtract 26 from both sides.
- 26 -26
t = 42
Five-eighteenths of the students surveyed like to play basketball. Which decimal is equivalent to the fraction of students who like to play basketball?
0.278 decimal is equivalent to the fraction of students who like to play basketball.
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
\(\dfrac{a}{b}\)
Then, we can interpret it as:
\(\dfrac{a}{b} = a\) parts out of b parts of a thing.
Five-eighteenths of the students surveyed like to play basketball.
\(\dfrac{5}{18} \\\\= 0.278\)
Therefore,
0.278 decimal is equivalent to the fraction of students who like to play basketball.
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The main idea behind statistical inference is that: a. without statistics we would have no way of determining if an effect is taking place in any given experiment. b. through the transformation of data we can derive many conclusions about our sample.
c. through the use of sample data we are able to draw conclusions about the population from which the data was drawn. d. when generalizing results to a population you must make sure that the correct statistical procedure has been applied.
The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).
Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.
By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.
The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.
Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.
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A tin contains 5 cookies. Only 1 of them is chocolate flavoured. Noah picks a cookie at random from the tin. What is the probability that it is chocolate flavoured? Give your answer as a decimal.
there are 192 cars in a mall parking lot. bill is looking for his 5 friends' cars. if bill randomly chooses 5 cars, what are the odds that those 5 cars belong to his friends?
The odds that those 5 cars belong to his friends is 5:192. The correct option is B.
Given that there are 192 cars in a mall parking lot and Bill is looking for his 5 friends' cars.
To find the odd of an event, the fraction is written as:
\(\text{Odds of an event} = \dfrac{\text{Favorable Choices}}{\text{Total number of choices}}\)
In this particular case, the favorable choices is Bill's friends car, which is 5. Similarly, the total number of choices are all those cars that are there in the parking lot which is 192.
Therefore, the odds that those 5 cars belong to Bill's friends is:
\(\text{Odds that car belongs to Bill's friends} = \dfrac{5}{192}\)
\(\text{Odds that car belongs to Bill's friends} = 5:192\)
Hence, the odds that those 5 cars belong to his friends is 5:192.
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Complete question:
There are 192 cars in a mall parking lot. bill is looking for his 5 friends' cars. if bill randomly chooses 5 cars, what are the odds that those 5 cars belong to his friends?
(A) 5: 187
(B) 5:192
(C) 192:187
(D) 7:187
Amorphophallus johnsonii is a plant growing in West Africa, and it is better known as a "corpse-flower." Its common name comes from the fact that when it flowers, it gives off a "powerful aroma of rotting fish and faeces." The flowers smell this way because their principal pollinators are carrion beetles, who are attracted to such a smell. Beath observed the number of carrion beetles (Phaeochrous amplus) that arrive per night to flowers of this species. The data are as follows:
51, 45, 61, 76, 11, 117, 7, 132, 52, 149
a. What is the mean and standard deviation of beetles per flower?
b. What is the standard error of this estimate of the mean?
c. Give an approximate 95% confidence interval of the mean. Provide lower and upper limits.
d. If you had been given 25 data points instead of 10, would you expect the mean to be greater, less than, or about the same as the mean of this sample?
e. If you had been given 25 data points instead of 10, would you have expected the standard deviation to be greater, less than, or about the same as this sample?
f. If you had been given 25 data points instead of 10, would you have expected the standard error to be greater, less than, or about the same as this sample?
After calculation, a) 68.1 and 46.5 b) 14.7 c) 33.8, 102.4 d) the mean is expected to be about the same e) the standard deviation is expected to be about the same f) the standard error is expected to be smaller.
a. To calculate the mean and standard deviation of the number of beetles per flower, we use the following formulas:
Mean = (Sum of all data points) / (Number of data points)
Standard deviation = sqrt((Sum of (each data point - Mean)^2) / (Number of data points - 1))
Using the given data, we get:
Mean = (51 + 45 + 61 + 76 + 11 + 117 + 7 + 132 + 52 + 149) / 10 ≈ 68.1
Standard deviation = sqrt(((51-68.1)^2 + (45-68.1)^2 + ... + (149-68.1)^2) / 9) ≈ 46.5
Therefore, the mean number of beetles per flower is approximately 68.1, and the standard deviation is approximately 46.5.
b. The standard error of the mean is given by the formula:
Standard error = Standard deviation / sqrt(Number of data points)
Plugging in the values, we get:
Standard error = 46.5 / sqrt(10) ≈ 14.7
Therefore, the standard error of the mean is approximately 14.7.
c. To find the 95% confidence interval of the mean, we use the formula:
95% CI = Mean ± (t-value * Standard error)where the t-value is determined by the degrees of freedom (n-1) and the desired level of confidence. For a 95% confidence interval with 9 degrees of freedom (since we have 10 data points), the t-value is approximately 2.306.
Plugging in the values, we get:
95% CI = 68.1 ± (2.306 * 14.7) = (33.8, 102.4)
Therefore, the approximate 95% confidence interval of the mean is (33.8, 102.4), with lower and upper limits of 33.8 and 102.4, respectively.
d. If we had been given 25 data points instead of 10, we would expect the mean to be about the same, assuming the additional data points are similar in distribution to the given data.
e. If we had been given 25 data points instead of 10, we would expect the standard deviation to be about the same, assuming the additional data points are similar in distribution to the given data.
f. If we had been given 25 data points instead of 10, we would expect the standard error to be smaller, since the standard error is inversely proportional to the square root of the number of data points.
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Select the correct answer. Simplify the following expression. Classify the resulting polynomial
Answer: the answer is quadratic binomial :D
Step-by-step explanation:
NEED HELP ASAP
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work
Thus, the total area of composite figure (circle on a rectangle) is found as 29.91 m².
Explain about the sector of the circle?A sector is a portion of the circle that is formed by two distinct radii. somewhat of like a slice of pie or pizza. A line segment known as a chord connects two points on a circle. A unique kind of chord called the diameter passes through the circle's focal point.Area of sector of the circle = (Ф/360°) *π*r²
r is the radius = 5.5 m
π = 3.14
Area = (30/360°) *3.14 * 5.5²
Area = 7.91 m²
Area of rectangle = width × length
Area = 4 × 5.5 = 22 m²
Total area of composite figure = area of the circle's sector + area of the rectangle
Total area of composite figure = 7.91 m² + 22 m² = 29.91 m²
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Review the proof. Which step contains an error
Step 2
Step 4
Step 6
Step 8
Answer: step 4
Step-by-step explanation:
Error in the proof starts with the first mistake done. The erroneous step in the proof is given by: Option B: Step 6.
How does sign changing works?Sign changing in equation does by multiplying -1 on both the sides.
So, if we had \(a + b = c\)
Then, its signs are changed as:
\(-1(a + b) = -1 \times c\\-a -b = -c\)
For the given case, the mistake occurred during transition from step 5 to step 6. Step 6 is wrong as when sign was changed, sin of cos(θ) remain same, which makes step 5 and step 6 not equal to each other.
The correct proof would be like:
\(\rm \cos(2x) = 1- 2\sin^2(x)\\Let\: 2x = \theta\\\\Then: x = \dfrac{\theta}{2}\\\\\cos(\theta) = 1 - 2\sin^2(\dfrac{\theta}{2})\\-1 + \cos(\theta) = -2\sin^2(\dfrac{\theta}{2})\\\\1 - \cos(\theta) = 2\sin^2(\dfrac{\theta}{2})\\\\\dfrac{1-\cos(\theta)}{2} = \sin^2(\dfrac{\theta}{2})\\\\\sin(\theta) = \pm \sqrt{\dfrac{1-\cos(\theta)}{2} }\)
Thus, the erroneous step in the proof is given by: Option B: Step 6.
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Justin wants to buy a new football that costs 22.99. He has a discount coupon of 12% off. If Justin has exactly $20, does he have enough money to buy the football with the coupon? How much more money does he need OR how much money does he get in change?
He needs an additional $0.23 to buy the football with the coupon after the discount coupon.
What is Discount?A discount is a reduction in the price of a product or service. It is often used as a marketing tool to attract customers and increase sales. Discounts can be expressed as a percentage or a dollar amount.
What is discounted price?The discounted price is the price of a product or service after a discount has been applied. The discount is usually expressed as a percentage or a dollar amount and is subtracted from the original price.
In the given question,
The discount Justin can get is 12% of the original price, which is:
0.12 x 22.99 = 2.76
So the discounted price of the football is:
22.99 - 2.76 = 20.23
Since Justin has exactly $20, he doesn't have enough money to buy the football with the coupon. He needs:
20.23 - 20 = 0.23
So he needs an additional $0.23 to buy the football with the coupon.
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A gardener makes a new circular flower bed. The bed is
ten feet in diameter. Calculate the circumference and the
area of the circular flower bed.
circumference = 10 feet, area =
10r square feet
O circumference = 10r feet, area = 25r square feet
circumference = 5r feet, area = 257 square
feet
circumference = 10r feet, area = 1007 square feet
Answer:
B. Circumference = 10r feet, area = 25r feet
Step-by-step explanation:
C = \(\pi\) x 10
C = 10n
A = n x 5x5
A = 25n
7 is multipled by the difference of a number and 1.
The expression of 7 is multiplied by the difference of a number and 1 is; 7 * (x - 1)
How to solve Algebra Word Problems?
Algebraic word problems are simply questions that need translation of sentences to equations, then solving those equations. Normally, a single variable is used to represents an unknown quantity in a real-life scenario.
We are told that 7 is multiplied by the difference of a number and 1. If that used number is x, then we can say that;
7 * (x - 1)
Thus, the expression of 7 is multiplied by the difference of a number and 1 is; 7 * (x - 1)
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Answer:7x-7
Step-by-step explanation:
7(x-1)
7 * x=7x
7*1=7
Addition at the end the result will be 7x-7
Kofi, Kojo and Ama shared Gh¢480000.00 in the ratio 3:5:4. How much did Ama received?
The Ama received Gh¢160000.00.
To find out how much Ama received, we first need to determine the total value of the ratio parts.
The ratio given is 3:5:4, which means the total ratio parts is 3 + 5 + 4 = 12.
To calculate the amount Ama received, we need to find the fraction of the total value represented by Ama's ratio part (which is 4).
The fraction representing Ama's ratio part is 4/12.
To find out how much Ama received, we multiply the total amount shared (Gh¢480000.00) by the fraction representing Ama's ratio part:
Amount received by Ama = (4/12) * Gh¢480000.00
Calculating the amount received by Ama:
Amount received by Ama = (4/12) * Gh¢480000.00
= (1/3) * Gh¢480000.00
= Gh¢160000.00
Therefore, Ama received Gh¢160000.00.
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Easy Points !!✅
Casey’s starting balance was $922.36. He had $256.71 in deposits and $1,317.24 in debits. What is his ending balance ?
Since starting balance is $922.36 and she deposits $256.71 and then debits $1317.24. Ending Balance will be 922.36+256.71-1317.24=$138.17 in debt.
Deposits? What do you mean?You make a deposit when you add money to your bank account. To build savings and earn interest, you should put money in a bank. For money you can withdraw at any time, a demand deposit is made. A time deposit is an investment for the long term. When you take out a loan, you might also pay a deposit as collateral.
Debit and credit mean what?In double-entry bookkeeping, debits and credits are entries made in account ledgers to record value changes brought on by business transactions. A credit entry represents a value transfer from the account, whereas a debit entry represents a transfer of value to the account.
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11-5 practice volumes of pyramids and cones
Answer:
Step-by-step explanation:
Volume for a cone = 1/3 * pi * \(r^{2}\) * h
Volume for a pyramid = 1/3 * area of base * h
Which expression has the same value as-18 divided by (-9)?
0 -18 divided 2
0-12 divided (3)
0-10 divided 5
0 -8 divided (-4)
Answer:
4th answer
(-8 divided by -4)
Step-by-step explanation:
First , Let's find the value of (-18) divided by (-9)
Before that we have to know,
\(\frac{(+)}{(-)} =(-)\)
\(\frac{(-)}{(-)} =(+)\)
\(\frac{(+)}{(+)} =(+)\)
\(\frac{(-)}{(+)} =(-)\)
Now let's find for the answer for the above
\(\frac{(-18)}{(-9)} =2\)
And now let's find which expression has the same value as the question
#1
\(\frac{(-18)}{2} =(-9)\)
#2
\(\frac{(-12)}{3} =(-4)\)
#3
\(\frac{(-10)}{5} =(-2)\)
#4
\(\frac{(-8)}{(-4)} =2\)
So, it's clear for you that only the 4th expression will the same answer as the question.
Hope this helps you.
Let me know if you have any other questions :-)
Is -8 greater than positive eight
Answer:
nope
+8 is greater than -8
Use the ceiling and floor functions to give a mathematical expression for the following values: (a) There are x children in the first grade at Lee Elementary school. Each child will be given five crayons to do an art project. Crayons come in boxes of 24. How many boxes need to be purchased for the art project
The number of boxes that need to be purchased for the art project can be determined by the expression ceil((x × 5) / 24). This can be answered by the concept of ceiling function.
To determine the number of boxes of crayons needed for the art project, we can use the ceiling function to round up the division of the total number of crayons required by the number of crayons in each box.
Let's break down the problem step-by-step:
Each child in the first grade will be given five crayons for the art project.
We need to determine the number of boxes of crayons needed to provide enough crayons for all the children.
Crayons come in boxes of 24.
To calculate the number of boxes needed, we can divide the total number of crayons required by the number of crayons in each box. The total number of crayons required can be obtained by multiplying the number of children (x) by the number of crayons given to each child (5).
Total number of crayons required = x × 5
Now, to find the number of boxes needed, we divide the total number of crayons required by the number of crayons in each box (24), and round up the result using the ceiling function. This is because we need to ensure that we have enough whole boxes to provide the required number of crayons.
Number of boxes needed = ceil((x × 5) / 24)
Therefore, the number of boxes that need to be purchased for the art project can be determined by the expression ceil((x × 5) / 24).
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Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
middle element of 50th row is 2451
middle element of \(n^{th}\) row is \(\frac{n^{2}+(n-1)^{2} +1 }{2}\)
1st row → 1 ⇒ \(1^{2}\)
2nd row → 2 3 4 ⇒\(2^{2}\)
3rd row → 5 6 7 8 9 ⇒\(3^{2}\)
4th row → 10 11 12 13 14 15 16 ⇒\(4^{2}\)
5th row → 17 18 19 20 21 22 23 24 25 ⇒\(5^{2}\)
6th row → 26 27 28 29 30 31 32 33 34 35 36 ⇒\(6^{2}\)
from the above pattern we get,last element of " \(n^{th}\)-row " is nothing but \(n^{2}\)
now,middle element of 2nd row =3 ⇒ \(\frac{2^{2} +1^{2} +1}{2}\)
middle element of 3rd row =7 ⇒ \(\frac{3^{2} +2^{2}+1 }{2}\)
middle element of 4th row = 13 ⇒\(\frac{4^{2} +3^{2} +1}{2}\)
middle element of 5th row = 21 ⇒ \(\frac{5^{2} +4^{2} +1}{2}\)
middle element of 6th row = 31 ⇒\(\frac{6^{2} +5^{2}+1 }{2}\)
.
.
.
middle element of 50th row = \(\frac{50^{2} +49^{2} +1}{2}\) = 2451
middle element of \(n^{th}\) row = \(\frac{n^{2}+(n-1)^{2} +1 }{2}\)
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Question:
1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36
Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?
Solve for x show work
3(2x-5)=4x+33
Answer:
6x-15= 4x-33
6x- 4x = -33+15
2x= -18
x= -9
Answer:
24
Step-by-step explanation:
Let's remove the brackets first
6x-15=4x+33
let's get rid of one sides x
2x-15=33
let's add 15 to get the -15 away
(anything u fo to one side you have to do to the other)
2x=48
divide by 2 to
x=24