Answer:
Median= (5+7)/2 = 6 Mean= 6 Range= 12 Mode=7
A surveillance camera photographs a shoplifter in front of a 3.5-foot counter. In the
photograph, the shoplifter appears 6 inches tall and the counter appears 4 inches high.
How many inches tall is the shoplifter?
Answer: 63 inches tall
Step-by-step explanation:
The counter in the photograph appears 4 inches tall, and it is actually 3.5 feet tall, or 42 inches tall.
Therefore, the scale of the photograph is [tex]42 inches/4inches = 10.5 inches[/tex]
The shoplifter in the photograph appears [tex]6[/tex] inches tall, so in real life, they are [tex]6 inches[/tex] * [tex]10.5 inches[/tex] [tex]= 63 inches[/tex] tall
So the shoplifter is [tex]63 inches[/tex] tall.
In WXY, if x y, WX = 9x - 11, XY =4x - 1, and WY =7x - 3, find x and the measure of each side.
The value of x is given as follows:
x = 1.5.
The measure of each segment is given as follows:
WX = 2.5.XY = 5.WY = 7.5.What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
For this problem, we have that segment WY is divided into two smaller segments, WX and XY.
This means that the equation to find the value of x is presented as follows:
WY = WX + XY
7x - 3 = 9x - 11 + 4x - 1
13x - 12 = 7x - 3
6x = 9
x = 1.5.
Hence the segment lengths are given as follows:
WX = 9x - 11 = 9(1.5) - 11 = 2.5.XY = 4x - 1 = 4(1.5) - 1 = 6 - 1 = 5.WY = 7x - 3 = 7(1.5) - 3 = 10.5 - 3 = 7.5.More can be learned about the segment addition postulate at https://brainly.com/question/2134445
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List five numbers with eight in the ones place
Answer: 18, 28, 38, 48, 58
Step-by-step explanation:
Answer:
18, 28, 38, 48, 58
Step-by-step explanation:
I think this is pretty self explanatory.
the points given in the table below represent a function. What is the rate of change in the function?
The points given represent a function. The rate of change in the function is 5. The correct option is C.
What is the average rate of change of a function?It is the average amount by which the function is modified per unit throughout that time period. The specified points' coordinates should be found. The choice to label them is yours. The difference between the output values should be found. The difference between the input values should be found.
It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
Therefore, the correct option is C, 5.
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Find the fifth term. Please help!
:)
By evaluating the given formula, we will see that the fifth term of the sequence is 32.
How to find the fifth term of the sequence?Here we have a sequence defined by the formula below:
aₙ = 2ⁿ
So that formula gives the n-th term of the sequence. To find the fifth term, we just need to replace the value of n by the value 5 in the formula above.
We will get.
a₅ = 2⁵
a₅ = 32
The fifth term of the sequence is 32.
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i need help please!!!!
Answer:
-1/2
Step-by-step explanation:
You want to know the exact value of sin(-5π/6).
Reference angleThe reference angle is the smallest angle its terminal side makes with the x-axis. The angle -5π/6 is a 3rd-quadrant angle, whose reference angle is ...
-5π/6 +π = π/6
Trig function signsYou know that the signs of the sine and cosine trig functions are negative in the 3rd quadrant. Since you have memorized the short table of trig functions (first attachment), you know the value you're looking for is ...
sin(-5π/6) = -sin(π/6) = -1/2
__
Additional comment
The second attachment shows the functions that are positive in the different quadrants. The ones not listed are negative.
The third attachment shows the coordinates on the unit circle as (cos, sin). The angle 7π/6 is the same as the angle -5π/6.
The fourth attachment shows you can put your calculator in radian mode and have it tell you the answer.
please help.. I’ll give brainliest!
Answer:
I have provided the answers on the original image you provided.
Step-by-step explanation:
For f(x) = -2x² + 8x + 1
To find the y-intercept, set x = 0 and determine the value for f(x). This will work out to +1 so the y-intercept is (0, 1)
To find the vertex y-value. Note that we are given the x value as 2. Substitute 2 for x in the function expression. This will give you a value of 9. So the vertex is (2, 9)
The coefficient of x² is negative so it will be a maximum vertex and therefore opens downward
For g(x) = 3x² + 6x -4
To find the x value of the vertex, differentiate with respect to x and set this first derivative equal to zero
First derivate of g(x), g'(x) = 6x + 6
Set 6x + 6 =0 to get x = -1
The axis of symmetry is nothing but the x value of the vertex and therefore x = -1
The coefficient of x² is positive. So the vertex will be a minimum and it will be an upward opening parabola
I hope that helps
A table of values of a linear function is shown below.
Question table
0
1
-2
-3
X
y
-1
-1
2
-4
3
-5
Find the slope and y-intercept of the function's graph, and find the equati
Using the given points, Observing the values at x=0, We get y-intercept = 2units , Using formula for slope we have , m = -1 and the equation is
x+y-2=0.
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.
What is y-intercept and slope of the line?A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.
In mathematics, the slope or gradient of a line is a number that indicates the line's steepness as well as its X and Y directions.
at x=0, we find y-intercept,
from the table,
y-intercept (c) = 2 units.
slope = [tex]\frac {y_2 - y_1}{x_2-x_1}[/tex]
[tex]=\frac {-2+1}{0+1}\\\\=-1[/tex]
Equation, y =mx + c
y=-x+2
x + y=2
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When an opinion poll uses random digit dialing to select respondents for polls, the response rate is approximately 10% for people contacted by cell phone. You watch a pollster dial 20 cell numbers many times using random digit dialing. What would be the standard deviation if p = 0.017 Give your answer to three decimal places, What does your work show about the behavior of the standard deviation of a binomial distribution as the probability of a success gets closer to zero? O As p approaches 0, the standard deviation decreases (that is, it approaches 0). O As p approaches 0, the standard deviation increases (that is, it gets further and further from 0). O As p approaches 0, the standard deviation increases (that is, it approaches 0). O As p approaches the standard deviation remains constant
A. Work shows that as the probability of success approaches 0, the standard deviation decreases and approaches 0.
The standard deviation for the binomial distribution with a probability of success p = 0.017 for 20 trials would be 0.282. The standard deviation for a binomial distribution can be calculated using the formula =√np(1−p).
Inserting the values for n = 20, p = 0.017 gives us an answer of 0.282. As the probability of success approaches 0, the standard deviation decreases and approaches 0.
This is because as the probability of success approaches 0, the number of successes in the trials approaches 0, so there is less variation in the number of successes and the standard deviation approaches 0.
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i need help with #6 please!!
-11 because
(gof)(x) = 18x2 - 123x + 193. Substitute x = 4. (gof)(4) = 18(4)2 - 123(4) + 193. (gof)(4) = -11. Solution: The solution is (gof)(4) = -11.
Luke is going to plant 54 cucumber plants and 72 carrot plants. Luke would like to plant the plants in rows where each row has the same number of cucumber plants and each row has the same number of carrot plants. What is the greatest number of rows Luke can plant?
Answer: He will have to plant 14 rows
Step-by-step explanation:
Task 3:
Venus is doing a tennis drill where she wants to hit the ball from the correct height (
BC) so that it will just pass over the net, DE, and land 5 meters (m) away from the
base of the net (point A).
If AADE AABC, AE = 5m, DE = 0.92m, and EC = 10m, what is the height, BC?
Bc=_____
The height of BC is calculated from the knowledge of similar triangles to be 2.76 m
What are similar triangles?This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
AE and DE, AC and BC.
The solution is worked out using the proportion as follows
AE / DE = AC / BC
5 / 0.92 = (5 + 10) / BC
5 * BC = 0.92 * 15
BC = 2.76 m
hence BC = 2.76 m
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A system of equations is shown.
{ x= = 10
3x + 5y = 20
What is the solution (x, y) of the system of equations?
Step-by-step explanation:
when x=10
3x+5y=20
3×10+5y=20
30+5y=20
5y=20-30
5y=-10
y=-10/5
y=-2
Mutiyara Berhad is interested in measuring its overall cost of capital. Current investigation has gathered the following data. The firm is in the 40% tax bracket.
Mutiyara Berhad can raise debt by selling RM1000 par value, 8% coupon interest rate, 20 years bonds on which annual interest payments will be made. to sell the issue, an average discount of RM30 per bond would have to be given. The firm also must pay floatation cost of RM30 per bond.
The firm can sell 8% preferred stock at its RM95 per share par value. The cost of issuing and selling the preferred stock is expected to be RM5 per share. Preferred stock can be sold under these terms.
The firm’s common stock is currently selling for RM90 per share. The firm expects to pay cash dividends of RM7 per share next year. The firm’s dividends have been growing at annual rate of 6%, and this growth expected to continue into the future. The stock must be underpriced by RM7 per share, and the floatation costs are expected to amount to RM5 per share. The firm can sell new common stock under these terms.
When measuring this cost, the firm does not concern itself with the tax bracket or brokerage fees of owners. It expects to have available RM100,000 of retained earnings in the coming year; once these retained earnings are exhausted, the firm will use new communication stock as the form of common stock equity financing.
a) Calculate the after-tax cost of debt
b)Calculate the cost of preferred stock
c) Calculate the cost of new common stock.
d)Calculate the firm’s weighted average cost of capital using retained earnings and the capital structure weights shown in the table above.
a) To calculate the after-tax cost of debt, we first need to calculate the pre-tax cost of debt, which is the coupon interest rate. In this case, the bond has a coupon interest rate of 8%. We then need to multiply this by (1-tax rate) to get the after-tax cost of debt. In this case, the firm is in a 40% tax bracket, so:
After-tax cost of debt = 8% x (1 - 40%) = 4.8%
b) To calculate the cost of preferred stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. In this case, the preferred stock does not have any dividends, so its cost of capital is 0%.
c) To calculate the cost of new common stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. We also need to know the rate of growth in dividends. In this case:
Dividend yield = Dividend per share / Price per share
Dividend yield = 7 / 90 = 0.0778
Cost of new common stock = (Dividend per share / Price per share) + (Dividend growth rate)
Cost of new common stock = 0.0778 + 0.06 = 13.78%
d) To calculate the firm's weighted average cost of capital (WACC), we need to use the capital structure weights and the costs of each type of capital. In this case:
WACC = (Weight of debt x After-tax cost of debt) + (Weight of preferred stock x Cost of preferred stock) + (Weight of new common stock x Cost of new common stock)
Note: These weights can be calculated from the proportion of each source of financing in the firm's capital structure.
WACC = (0.354.8%) + (00%) + (0.65*13.78%) = 7.63%.
The firm's weighted average cost of capital using retained earnings and the capital structure weights is 7.63%.
What Is Cost of Capital?Cost of capital is the minimum rate of return or profit a company must earn before generating value. It's calculated by a business's accounting department to determine financial risk and whether an investment is justified.
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What is the amplitude and the period of the function y=2 sin x?
Answer:
The amplitude of the function y=2*sin(x) is 2. The amplitude is the maximum value of the function, and in this case, the maximum value of y is 2.
The period of the function y=2*sin(x) is 2π. The period is the distance in the x-axis between two points at which the function has the same value. And in this case, the function reaches the maximum value of 2 at x = π/2, and the next time it reaches the same value is x = 3π/2, which is a distance of 2π in the x-axis.
1. What is the value of x in the following proportion?
4/5 / x=2 / 74/4
x=6 1/4
x=7 3/4
x=7 2/5
x=8 1/5
Solving for x in the proportion 4/5 / x = 2 / 74/4 gives
x = 7 2/5How to solve for x in the given proportionThe given proportion is 4/5 / x = 2 / 74/4
Using the equation 4/5 / x = 2 / 74/4, x is solved by making it the subject of the formula and this means placing x alone at the left hand side of the equation. this is achieved by
cross multiplying
4/5 / x = 2 / 74/4
4/5 * 74/4 = 2x
74/5 = 2x
dividing through by 2
x = 37/5
x = 7 2/5
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William signed up for a streaming music service that costs $14 per month. The service allows William to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would William have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he downloaded s songs?
The total amount of money Williams will pay if he downloaded 45 song is 36.5 dollars.
The total cost if he download s song is 14 + 0.50s.
How to find the total money Williams will pay?William signed up for a streaming music service that costs $14 per month. The service allows William to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song.
Therefore, the amount of money Williams will save to download 45 songs is as follows:
Using equation,
y = 14 + 0.50x
where
x = number of song downloady = total costTherefore,
y = 14 + 0.50(45)
y = 14 + 22.5
y = 36.5 dollars
If he downloaded s songs,
total cost = 14 + 0.50s
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2 3/8 - 3/4
less than 2 or more than 2
Answer:
Step-by-step explanation:
turn 3/4 into 6/8
there you can see 2 3/8 - 6/8 is less than two (the answer is 1 5/8 im pretty sure)
what is the value of 3 3/8 minus 2 6/8
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{8}[/tex] - 2[tex]\frac{6}{8}[/tex]
I can rewrite3 [tex]\frac{3}{8}[/tex]
2 [tex]\frac{8}{8}[/tex] + [tex]\frac{3}{8}[/tex] ([tex]\frac{8}{8}[/tex] means the same as 1)
2[tex]\frac{11}{8}[/tex] - 2 [tex]\frac{6}{8}[/tex] = [tex]\frac{5}{8}[/tex]
Looking to find the measure of C.
a = 2x+6
b = x + 24
Check the picture below.
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
-6
42
6
4
2-
&
-4
Гу
6
2 A
6
X
Which statement about the function is true?
The function is increasing for all real values of x
where
x < 0.
The function is increasing for all real values of x
where
x<-1 and where x > 4.
The function is decreasing for all real values of x
where
-1
The function is decreasing for all real values of x
where
x < 1.5.m
Answer:
the 3rd oneeeeeeeeeeeeeeeeeeeeeeeeeeee
6
Select the correct answer from each drop-down menu.
Point A is the center of this circle.
The ratio of the lengths of
and
is 2:1.
The ratio of the lengths of ( AD, IH ) is 2:1
What is chord?A chord that passes through the center of the circle is known as diameter of he circle. Chords IH and EF are diameters of our given circle.
Point A is the center of this circle.
In the given diagram we have EF is the diameter of the circle.
BC is the chord of the circle and Diameter and chord length will vary.
AD is the radius of the circle and IH is the diameter of the circle.
Diameter of the circle IH is 2 times the radius AD
So,
The Answer is option B
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
run = 10
rise = 20
Slope in simple: 2/1
Step-by-step explanation:
Rise over run = 20/10 --> 2/1
create an area model to represent 14x17 find the product
238
14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..
estimate the product to the nearest whole number. 481 .68 * 76.25
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.
Then, we can calculate the product of 482 and 76 to get the estimated result:
482 * 76 = 36,552
Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.
The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.
Pleasede please please help me
Answer:
3rd one is the answer
Step-by-step explanation:
x=7*2/5
Solving compound inequalities:
14 > ˣ⁺³⁵⁄₃ and ˣ⁻⁴⁶⁄₁₁ ≤-5
Answer:
Inequality Form:
x≤ −9/11
Interval Notation:
(−∞,−9/11]
Solve for a. a+1−2=4 Select the number from the drop-down menu to correctly complete the statement.
Answer:
5
Step-by-step explanation:
set everything equal to a to solve for a.
a + 1 - 2 = 4
a + 1 = 6
a = 5
so your answee would be 5.
we can check this by plugging back in.
5+1-2=4
Kyle lan part of a 42 km marathon at an
average speed of 12 km/hr and walked the
rest at an average speed of 5 km Ihr. He
wasn't feeling great, so he spent Ihr
more time walking than running. How
long did it take him to finish the
marathon
Answer:
5 6/17 hours or approximately 5 hours and 21 minutes-------------------------------
Let the time Kyle ran be x, then he walked for (x + 1) hours.
He ran 12x km and walked 5(x + 1) km thus in total 42 km.
Set up and equation and solve for x:
12x + 5(x + 1) = 4212x + 5x + 5 = 4217x + 5 = 4217x = 37x = 37/17Total time was:
37/17 + 37/17 + 1 = 74/17 + 1 = 4 6/17 + 1 = 5 6/17 hrsPart b: if a = 10 b = -4 have would you find the r number of solutions in the equation.
10x -12 = 10x + 4
Part a: For what values would the equation have infinite amounts of solutions.
Answer I got: a = 10 b = -12
The number of solutions of the system of equations 10x - 12 = 10x + 4 is given as follows:
Zero.
The system of equations 10x - 12 = ax + b would have an infinite number of solutions when:
a = 10.b = -12.How to define the number of solutions of the system of equations?The systems in this problem are defined by linear functions, which have the following format:
y = mx + b.
In which:
m is the slope.b is the y-intercept.The slope and the y-intercept are used to determine the number of solutions of the system, as follows:
Different slope: One solution.Same slope and different intercept: No solutions, as the lines are paralle.Same slope and same intercept: Infinite solutions, as the lines are equal.The system of equations 10x - 12 = 10x + 4 falls in the second case, while for a system to have an infinity number of solutions, it must fall on the third case.
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