Step-by-step explanation:
let's first sort the data points from low to high :
42, 68, 70, 72, 74, 75, 79, 80, 82, 83, 84, 85, 86, 87, 91, 92, 94, 95, 97, 98
67.
the mean score is the sum of all data points divided by the number of data points :
1634/20 = 81.7
=> BC is correct
68.
the median is the number in the sorted list, what half of the data points are lower, and the other half higher.
in case of an even number of data points, it is the mean value of the 2 central data points.
in our case these are 83 and 84. the mean value between these two numbers is 83.5.
=> BE is correct
69.
the mode is the most frequent number among the data points.
but all scores appear only once.
so, some say, the mode is the set of all data points.
or, others say, there is no mode (like your teacher, apparently)..
=> ABC is correct.
70.
mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
so, now we are creating a new data set : the individual distances of the original data points to their mean value :
39.7, 13.7, 11.7, 9.7, 7.7, 6.7, 2.7, 1.7, 0.3, 1.3, 2.3, 3.3, 4.3, 5.3, 9.3, 10.3, 12.3, 13.3, 15.3, 16.3
the man value for these is the MAD of the original data points :
187.2/20 = 9.36
=> B is correct
71.
the range is the difference between the highest and lowest values in a set of numbers.
so, in our case that is
98 - 42 = 56
=> AD is correct
72.
quartiles are the values that divide a list of numbers into quarters (4 equally long parts).
we have here 20 numbers, so all Qs are between 2 numbers.
Q1 is between the 5th and the 6th number (and again, the mean value between these two numbers is the result) :
Q1 = (74 + 75)/2 = 74.5
=> AE is correct
73.
as above, just for Q3 it is between the 15th and 16th number :
Q3 = (91 + 92)/2 = 91.5
=> DE is correct
74.
the interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.
while the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set - so, between Q1 and Q3 :
91.5 - 74.5 = 17
=> E is correct
75.
outliers are extreme values that differ from most other data points in a dataset (much lower or higher than the others).
outliers are therefore values at the extreme ends of a dataset.
often we see at least some of them right away, like 42 in our set.
but are there any others ?
there are some guidelines like building an upper and lower "fence" (or limit), and any value beyond these limits are great candidates for being outliers.
upper fence = Q3 + 1.5 × IQR = 91.5 + 1.5×17 = 117
we have no values higher than 117.
lower fence = Q1 - 1.5 × IQR = 74.5 - 1.5×17 = 49
we have one value (as expected) lower than that (42), which makes this a confirmed outlier.
=> AB is correct.
A grab-bag contains 30 packages worth $. 65 each, 10 packages $. 60 cents each, and 15 packages worth $. 30 each. How much should the game owner charge to make it a fair game?
$0. 55
$0. 40
$0. 60
$0. 30
The game owner should charge option (a) $0.55 to make it a fair game
To determine how much the game owner should charge to make it a fair game, we need to calculate the average value of each package. We can do this by finding the total value of all the packages and dividing it by the total number of packages.
The total value of the 30 packages worth $.65 each is:
30 x $.65 = $19.50
The total value of the 10 packages worth $.60 each is:
10 x $.60 = $6.00
The total value of the 15 packages worth $.30 each is:
15 x $.30 = $4.50
The total value of all the packages is
$19.50 + $6.00 + $4.50 = $30.00
The total number of packages is
30 + 10 + 15 = 55
The average value of each package is
$30.00 / 55 = $0.55
Therefore, the correct option is (a) $0.55
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The bearing of A from B is 129 and the bearing of C from B is 219. If B is equidistant from A and C, find the bearing of C from A
The bearing of C from A is 90 degrees when B is equidistant from A and C.
What is bearing?In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.
According to the given informationLet's assume that the distance from B to A and from B to C is the same.
To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:
180 - 129 = 51
This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:
219 - 180 + 51 = 90 degrees
Therefore, the bearing of C from A is 90 degrees.
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The Olympic record for the men's 50-meter freestyle is 21.91 seconds. Express this speed in meters per second
Answer:
50 meters/21.91 seconds = 2.282 m/sec
In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Hawa percent of red paint (to nearest whole number) =
%
Jacob percent of red paint (to nearest whole number) =
%
Hawa ’s purple paint will be redder.
Jacob’s purple paint will be redder.
The two purple paints will be equally red.
attempt 1 out of 2
Miracle Jackson
Which is more? (Percent Comparison)
Apr 10, 6:51:14 PM
Watch help video
In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Answer:
Step-by-step explanation:
0.000309 in scientific
Answer:
0.000309 in scientific notation is 3.09 x 10^(-4)
Answer:
0.309x10 to the -4 power
Step-by-step explanation:
just move the decimal place back till its a whole number and do that number to the power of ten if that makes sense
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Phil is baking a pie with cranberries and apples. Apples cost $0.60/cup and cranberries cost $0.40/cup. Phil wants to spend no more than $4.20 on the fruit for his pie.
Question
What is an inequality that represents the combinations he can use?
6. Electronics Warehouse had a Super Bowl Sale on Televisions. They offered no interest no payments for 24 months on televisions larger than 50 inches. You have been dving to have a new 85" TV, so you pick out an amazing OLED on sale for $2299.99. You take advantage of the store offering no interest, no paymenus for 24 months, and go home smiling. The fine print on the credit card agreement states a 24.99% interest rate that accrues monthly. Additionallv. if the balance is not paid in full by the end of the 24 month promotion. the interest will be apolied to the remaining balance. If vou choose to not make a payment during the 24-month period, what will your balance be when you get your first bill?
If you choose not to make a payment during the 24-month period, your balance at the end of the promotion will be $3,637.16.
Explain month
A month is a unit of time equal to one-twelfth of a year, or approximately 30.44 days. It is often used to represent periodic phenomena, such as interest rates or seasonal trends, and to calculate the duration between two dates. The number of months between two dates is calculated by dividing the difference in days by 30.44.
According to the given information
If you do not make any payments during the 24-month period, your balance will increase each month due to the interest that accrues. After 24 months, your balance will be:
$2299.99 * (1 + 0.020825)²⁴ = $3,637.16
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Select each expression that is equivalent to 3(n + 6).
Answer:
3(n + 6) = 2(n + 6) + (n + 6)
3(n + 6) = 3n + 18
PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answer: 64 sqaure centimetres.
Step-by-step explanation:
- Surface area means the area of all exterior sides of a 3D dimensional shape. This means we'll have to find the area of every face and then add them all together.
Top and Bottom
4 x 4 = 16
16 x 2 = 32
Both faces are the same so once we find the area of one, we can just double it.
North, South, East and West Side
4 x 2 = 8
8 x 4 = 32
All four remaining faces had the same dimensions, meaning that once you found one, you just had to multiply that answer by 4.
To find the overall surface area add all the areas you have.
32 + 32 = 64
or
16 +_16 + 8 + 8 + 8 + 8 = 64
In ΔHIJ, the measure of ∠J=90°, HI = 6. 7 feet, and JH = 4. 8 feet. Find the measure of ∠I to the nearest degree
The measure of angle I in the triangle HIJ using given measurements is equal to 46.05 degrees.
In the triangle HIJ,
The measure of angle J is equal to 90 degrees.
This implies ,
HI is the hypotenuse.
JH is the opposite side to angle I.
In triangle HIJ,
Using trigonometric ratio we get,
sin ∠I = Opposite side / Hypotenuse
Substitute the values we have,
⇒ sin ∠I = 4.8 / 6.7
⇒ sin ∠I = 0.72
Now , take sin⁻¹ both the side of the equation we get,
⇒sin⁻¹(sin ∠I) = sin⁻¹( 0.72 )
Here sin⁻¹(sin ∠I) = ∠I
⇒∠I = sin⁻¹( 0.72 )
⇒∠I = 46.05 degrees
Therefore, the measure of angle I is equal to 46.05 degrees.
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Solve for x. -7.6 -1.2 + X 0.5
In artwork consists of the triangle shown with the shaded triangle is cut out of the larger triangle. What is the area of the remaining unshaded portion?
Thus, the area of unshaded portion for the given values of triangle is found as 48.6 sq. m.
Explain about the triangle:Three sides, three angles, plus three vertices make up a triangle.
A triangle's total internal angles have always been equal to 180 degrees. This is referred to as the triangle's angle sum property.The greatest side of a triangle is the side that faces the largest angle.The sum of the triangle's internal opposite angles is equal to any of its outer angles. This is referred to as the triangle's outside angle property.Area of triangle = 1/2*base *height
Area of unshaded portion = complete area - area of shaded triangle
Area of unshaded portion = 1/2*(20)*(8.1) - 1/2*8*(8.1)
Area of unshaded portion = 81 - 32.4
Area of unshaded portion = 48.6
Thus, the area of unshaded portion for the given values of triangle is found as 48.6 sq. m.
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one more than the reciprocal of a particular number is $\frac{7}{3}$. what is the original number expressed as a common fraction?
Original number = $\frac{3}{4}$. The original number expressed as a common fraction is $\frac{3}{4}$.
1. Reciprocal: This is the result of switching the numerator and denominator of a fraction (or dividing 1 by a whole number).
2. Original number: This is the number we're trying to find.
3. Common fraction: This is a fraction where the numerator and denominator are both integers (whole numbers).
Step 1: Set up the equation using the given information.
One more than the reciprocal of the original number is $\frac{7}{3}$. We can express this as an equation:
Reciprocal of the original number + 1 = $\frac{7}{3}$
Step 2: Solve for the reciprocal of the original number.
Reciprocal of the original number = $\frac{7}{3}$ - 1
Step 3: Simplify the equation.
Reciprocal of the original number = $\frac{7}{3}$ - $\frac{3}{3}$
Reciprocal of the original number = $\frac{4}{3}$
Step 4: Find the original number.
Since we have the reciprocal of the original number, we can find the original number by taking the reciprocal of this value:
Original number = $\frac{1}{(\frac{4}{3})}$
Step 5: Simplify the expression.
Original number = $\frac{1}{1} \times \frac{3}{4}$
Original number = $\frac{3}{4}$
The original number expressed as a common fraction is $\frac{3}{4}$.
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A rug is 1/2 yard by 2 5/6 yards.
Keith solves 1/2 times 2 5/6 to find the area of the rug in square yards.
Enter numbers to complete Keith's calculation for the area of the rug
The area of the rugs in square yards with given dimensions 1/2 yard by 2 5/6 yards is equal to 1 5 /12 square yards.
Dimensions of the rug are,
1/2 yard by 2 5/6 yards
Area of the rug in square yards solved by Keith is equal to
= 1/2 times 2 5/6
= ( 1/ 2 ) × ( 2 5/6 )
Convert mixed fraction into proper fraction we get,
2 5/6 = ( 6 × 2 + 5 ) / 6
⇒ 2 5/6 = 17 / 6
⇒ Area of the rug in square yards solved by Keith = ( 1 / 2 ) × ( 17 / 6 )
⇒ Area of the rug in square yards solved by Keith = ( 17 / 12 )
⇒ Area of the rug in square yards solved by Keith = 1 5 /12 square yards.
Therefore, the area of the rugs is equal to 1 5 /12 square yards.
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Could anyone help? I genuinely don't understand what the question is asking. All I need. is for you to set up the equations for me. An answer isn't necessary unless you'd like to be marked brainliest.
Answer:
9) Keep the denominators the same, and subtract the numerators. Then simplify if necessary.
[tex] \frac{3x + 2}{x + 5} - \frac{2x - 3}{x + 5} [/tex]
[tex] = \frac{3x + 2 - (2x - 3)}{x + 5} [/tex]
[tex] = \frac{3x + 2 - 2x + 3}{x + 5} [/tex]
[tex] \frac{x + 5}{x + 5} = 1[/tex]
10) Find the LCD. Rewrite each rational expression as an equivalent expression with the LCD as the denominator. Add the numerators and write the sum over the LCD. Then simplify if necessary.
[tex] \frac{4x}{x - 2} + \frac{x - 4}{x - 5} [/tex]
[tex] = \frac{4x(x - 5) + (x - 4)(x - 2)}{(x - 2)(x - 5)} [/tex]
[tex] = \frac{4 {x}^{2} - 20x + {x}^{2} - 6x + 8 }{(x - 2)(x - 5)} [/tex]
[tex] = \frac{5 {x}^{2} - 26x + 8}{(x - 2)(x - 5)} [/tex]
[tex] = \frac{5 {x}^{2} - 26x + 8 }{ {x}^{2} - 7x + 10} [/tex]
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1/2
B. Translate 1 to the left, scale vertically by 1/2 , then reflect over the y-axis.
C. Translate left by 1/2, then translate up 1.
D. Scale vertically by 1/2, reflect over the x-axis, then translate up 1.
The correct answer is option B. Translate 1 to the left, scale vertically by 1/2, then reflect over the y-axis.
What does term "transformation of a graph" means?The process of modifying the shape, location, or features of a graph is often referred to as graph transformation. Graphs are visual representations of mathematical functions or data point connections, often represented on a coordinate plane.
Translations, reflections, rotations, dilations, and other changes to the look of a graph are examples of graph transformations.
For the given problem, Transformation to get the desired result can be carried out as:
Translate '1' to the left: The transformation "x + 1" in "-k(x + 1)" shifts the graph horizontally to the left by 1 unit.Scale vertically by '1/2' : The 1/2 factor in "-k(x + 1)" vertically scales the graph, compressing it vertically.Reflect over the y-axis: The minus sign before "k" in "-k(x + 1)" reflects the graph over the y-axis, flipping it horizontally.Hence, to convert the graph of "y = k(x)" to the graph of "y = -k(x + 1)," the correct sequence of transformations is to translate 1 unit to the left, scale vertically by 1/2, and then reflect across the y-axis, which is option B.
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a region is bounded by two concentric circles, as shown by the shaded region in the figure above. the radius of the outer circle, r , is increasing at a constant rate of 2 inches per second. the radius of the inner circle, r , is decreasing at a constant rate of 1 inch per second. what is the rate of change, in square inches per second, of the area of the region at the instant when r is 4 inches and r is 3 inches? responses
The rate of change of the area is 20π square inches per second.
How to calculate area of the shaded region?The area of the shaded region can be calculated as the difference between the areas of the outer circle and the inner circle:
A = πr^2 - πr'^2
where r is the radius of the outer circle, r' is the radius of the inner circle, and π is the constant pi.
To find the rate of change of the area, we can take the derivative of both sides of the equation with respect to time t:
dA/dt = d/dt (πr^2) - d/dt (πr'^2)
Using the chain rule, we can express the derivatives in terms of the rates of change of the radii:
dA/dt = 2πr (dr/dt) - 2πr' (dr'/dt)
Substituting the given values at the instant when r=4 inches and r'=3 inches, we have:
dA/dt = 2π(4)(2) - 2π(3)(-1) = 20π
Therefore, the rate of change of the area is 20π square inches per second.
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what is the volume, in cubic centimeters, of a right rectangular prism that has a length of 4 44 centimeters, a width of 9 99 centimeters, and a height of 10 1010 centimeters?
Step-by-step explanation:
Volume of rect prism = L X W X H = 4 X 9 X 10 = 360 cm^3
Given this snippet of code, what is the value of x after executing the last statement? int x = 10, *y; y = &x; y = y + 1; *y = 100;
The value of x after executing the last statement is still 10.
After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.
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What is the Y-intercept of boundary line of y < c + 5 ?
Answer: The given inequality is:
y < c + 5
We can rewrite this inequality in slope-intercept form, y = mx + b, by isolating y:
y < c + 5
y - 5 < c
c > y - 5
In slope-intercept form, this is:
y = 1x + (-5)
The y-intercept of this boundary line is -5.
Step-by-step explanation:
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red. Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow. Determine the theoretical probability of the spinner not landing on red, P. 0.125 0.250 0.675 0.875
The theoretical probability of the spinner not landing on red is 0.875.
How to determine the theoretical probability of the spinner not landing on redThe total number of sections on the spinner is 8, out of which only one section is red. Therefore, the probability of the spinner landing on red is:
P(Red) = 1/8
The probability of the spinner not landing on red would be the probability of landing on any other section, which is:
P(Not Red) = 1 - P(Red) = 1 - 1/8 = 7/8
Therefore, the theoretical probability of the spinner not landing on red is 7/8 or 0.875 in decimal form.
So, the correct answer is: 0.875.
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Answer:
D
Step-by-step explanation:
Which statement is true? Please help
The statement that is equivalent to each other would be =
2×(4+2)-6 = 14÷(3.5×2)+4. That is option A.
What is equivalent equations?An equivalent equation is the type of equation that appears different but has the same answer when simplified or solved.
The first part;
=2×(4+2)-6
= 2×(6)-6
= 12-6 = 6
The second part;
= 14÷(3.5×2)+4
= 14÷7+4
= 2+4
= 6
Therefore, 2×(4+2)-6 = 14÷(3.5×2)+4. is a true statement.
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survey of small businesses with websites found that the average amount spent on a site was $11,000 per year with a standard deviation of $3,000. given a sample of 40 businesses, what is the margin of error if you are to assume a 95% confidence level? (round your answer to two decimal places.)
The margin of error for the 95% confidence level is approximately $873.15.
To calculate the error bars for the 95% confidence level, we need to find the critical value of the z-score from the standard normal distribution table.
Accepting a 95% certainty level, the importance level (α) is 0.05, which implies the certainty level is 1-α = 0.95.
On the off chance that we see the z-score at the 95% certainty level on the standard typical conveyance table, we get an esteem of 1.96.
Then you can use the formula for Tolerance (E).
error bar (E) = z * (standard deviation / sqrt(n))
where:
z = critical value in the standard normal distribution table
standard deviation = $3,000
n=40
Substitute the obtained value.
Error Bar (E) = 1.96 * ($3,000 / sqrt(40))
≈ $873.15
Therefore, the margin of error for the 95% confidence level is approximately $873.15.
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if 15% of adults in a certain country work from home, what is the probability that fewer than 30 out of a random sample of 250 adults will work from home?
The probability regarding fewer than 30 people out of 250 people will consider working from home is 3.36%.
In order to calculate the probability for the given condition we need to perform binomial distribution
P(X < 30) = Σ P(X = x)
For x = 0 to 29
Here,
X = number of people from the sample who work from home
P = probability of an adult working from home
Given,
X = 250
P = 0.15
Now performing approximation to binomial distribution, leads to approximate X like a normal random variable with mean
Therefore,
μ = np
μ = 250 x 0.15
μ = 37.5
Now we have to evaluate the standard deviation
σ = √(np(1-p))
σ = √ 250 x 0.15 x (1 - 0.15)
σ ≈ 4.08
Then we can proceed to standardized X
Z = (X - μ) / σ
P(X < 30) = P(Z < (30 - μ) / σ) = P(Z < (30 - 37.5) / 4.08)
≈ P(Z < -1.84)
Using standard distribution table
P(Z < -1.84) ≈ 0.0336
Converting it into percentage
0.0336 x 100
= 3.36%
The probability regarding fewer than 30 people out of 250 people will consider working from home is 3.36%.
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Subtract the sum of -52 and - 638 from the sum of - 29 and 303 the value is
The solution of the expression is 964.
To start solving this problem, let's find the sum of -29 and 303. The sum of two numbers is the result when you add them together. So,
-29 + 303 = 274
The sum of -29 and 303 is 274.
Now, let's find the sum of -52 and -638. To add two negative numbers, you just add their absolute values and put a negative sign in front of the result. So,
-52 + (-638) = -690
The sum of -52 and -638 is -690.
Finally, the problem asks us to subtract the sum of -52 and -638 from the sum of -29 and 303. To subtract one sum from another, we just subtract the second sum from the first. So,
( -29 + 303 ) - ( -52 + -638 )
We can simplify the expression by rearranging the terms:
274 - (-690)
When we subtract a negative number, it's the same as adding its absolute value. So,
274 + 690 = 964
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WILL MARK BRAINLIST PLS HELP!!
(-4,-5); slope = 1/2
Answer: y=1/2x-3
Step-by-step explanation:
I'm assuming you're trying to find it in slope intercept form!
y=mx+b
y=1/2x-3
easy
what is the summation notation for 8+4+2+1+1/2
Answer:
15 1/2
Step-by-step explanation:
hope this helped
cara computes the mean and variance for the set 87, 46, 90, 78, and 89. she finds the mean to be 78. her steps for finding the variance are shown below. what is the first error cara made in computing the variance?
If Cara's calculation of the sum of the squared differences i.e. 1370 from the mean is incorrect, that would be the first error she made in computing the variance.
As the steps for finding the variance are not provided, it is difficult to determine the first error Cara made.
However, the formula for calculating the variance is:
Variance = (sum of the squared differences from the mean) / (number of observations)
The first error Cara may have made is in calculating the sum of the squared differences from the mean.
The correct steps to find the variance are:
Find the mean:
Mean = (87 + 46 + 90 + 78 + 89) / 5 = 78
Calculate the differences from the mean for each observation:
87 - 78 = 9
46 - 78 = -32
90 - 78 = 12
78 - 78 = 0
89 - 78 = 11
Square each difference:
[tex]9^2 = 81[/tex]
[tex](-32)^2 = 1024[/tex]
[tex]12^2 = 144[/tex]
[tex]0^2 = 0[/tex]
[tex]11^2 = 121[/tex]
Find the sum of the squared differences:
81 + 1024 + 144 + 0 + 121 = 1370
Divide the sum of squared differences by the number of observations:
Variance = 1370 / 5 = 274.
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Mary needs $9000 in 9 years. What amount can she deposit in a sinking fund at the end of each quarter at 4% interest compounded quarterly so she will have her $9000?
Please serious answers only
Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.
what is deposit ?
In the context of finance, a "deposit" refers to the act of placing money or funds into a bank account, investment account, or other financial account. A deposit can also refer to the initial payment made to secure or initiate a purchase
In the given question,
To calculate the sinking fund payment that Mary needs to make at the end of each quarter, we can use the formula for the future value of an annuity:
FV = PMT x [(1 + r/n)ⁿᵇ - 1]/(r/n)
Where:
FV = future value (the amount Mary needs to accumulate, which is $9,000 in this case)
PMT = payment per period (what Mary needs to find)
r = annual interest rate (4% in this case)
n = number of compounding periods per year (4, since interest is compounded quarterly)
t = number of years (9 in this case)
Substituting these values into the formula, we get:
$9,000 = PMT x [(1 + 0.04/4)³⁶ - 1]/(0.04/4)
Simplifying and solving for PMT, we get:
PMT = $9,000 / [(1.01³⁶ - 1)/0.01]
PMT = $9,000 / 31.8422
PMT = $282.44 (rounded to the nearest cent)
Therefore, Mary needs to deposit $282.44 at the end of each quarter into a sinking fund that earns 4% interest compounded quarterly in order to have $9,000 in 9 years.
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Factor.
z squared+18z–19
(z - or + ?)(z- or + ?)
Answer:
(z - 1) (z + 19)
Step-by-step explanation:
z² + 18z - 19
Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is −19 and whose sum is 18.
-1, 19
Write the factored form using these integers.
(z - 1) (z + 19)