statement D declares the student grade variable .
What is variable ?
In computer programming, a variable is associate degree abstract storage location paired with associate degree associated symbolic name, that contains some famous or unknown amount of knowledge brought up as a value; or in easier terms, a variable may be a named instrumentation for a specific set of bits or style of information.
Main body:
As we need to assign grade to students out of A,B,C,D,F
so we need to use enum as formula and assign the name as grades .
Hence the answer is enum grades {a, b, c, d, f} studentgrade.
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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the
given function value
n=3;
3 and 5 i are zeros;
f(1) = - 104
Answer:
- f(x) = - (x - 2)(x - 5i)(x + 5i)
or
- f(x) = - x³ + 2x² - 25x + 50
Step-by-step explanation:
Since n = 3, this is a degree 3 polynomial and has total of 3 zero's.
Two of zero's are given:
2 and 5i, the third one must be - 5i (conjugate of 5i).
So the function becomes:
f(x) = a(x - 2)(x - 5i)(x + 5i)
We have f(-1) = 78, using this find the value of a:
f(-1) = a(- 1 - 2)(-1 - 5i)(-1 + 5i) = a( - 3)(1 - 25i²) = -3a*26 = - 78a
-78a = 78
a = - 1
The function is:
f(x) = - (x - 2)(x - 5i)(x + 5i) ⇒
f(x) = -(x - 2)(x² + 25) ⇒
f(x) = -(x³ - 2x² + 25x - 50) ⇒
f(x) = - x³ + 2x² - 25x + 50
Henry bought 5/6 pounds of roasted almonds for $5. He wants to know the price per pound
Answer:1/6
Step-by-step explanation: 5/6 = $5
x =$1
cross multiplydivide both sides by 5answer is 1/6What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
Find the Slope: (5,2), (6,5)
1
Your answer
1 point
Find the Slope: (-4,5) (1,7)
Your answer
Answer:
Hi! The correct answer is m=3 and m=2/5!
Step-by-step explanation:
~Use the slope formula y=mx+b to find the slope~
Nikita is a government official looking to find evidence on whether the mean taxable income for an individual taxpayer in the region dropped since the previous year. She surveyed 32 individual taxpayers in the region and found the taxable income of each individual as shown in the data set provided. Instead of using the standard deviation from the survey, Nikita decided to use the census data for the region to assume that the population standard deviation of income is $26,744. The mean taxable income in the region was $62,712 for the previous year.
(a) H0:μ=$62,712; Ha:μ<$62,712, which is a left-tailed test.
(b) Taxable income of each individual is given below.
Use Excel to test whether this year's mean taxable income for an individual taxpayer in the region is less than the mean taxable income from the previous year, and then draw a conclusion in the context of the problem, where α=0.10. Calculate the test statistic, z, rounding to two decimal places, and the p-value, rounding to three decimal places.
Taxable income ($)
Taxable income ($)
12193
64586
60363
59639
103402
24127
53641
38963
78596
49328
33983
64023
49771
89073
59433
21930
53789
30236
41639
87935
73396
69640
69371
104896
112354
96396
83921
72539
52186
91483
32069
17296
Nikita is a government official looking to find evidence on whether the mean taxable income for an individual taxpayer in the region dropped since the previous year.
She surveyed 32 individual taxpayers in the region and found the taxable income of each individual as shown in the data set provided.
Instead of using the standard deviation from the survey, Nikita decided to use the census data for the region to assume that the population standard deviation of income is $26,744.
The mean taxable income in the region was $62,712 for the previous year.
(a) H0:μ=$62,712; Ha:μ<$62,712, which is a left-tailed test.
(b) Taxable income of each individual is given below. Use Excel to test whether this year's mean taxable income for an individual taxpayer in the region is less than the mean taxable income from the previous year, and then draw a conclusion in the context of the problem, where α=0.10.
Calculate the test statistic, z, rounding to two decimal places, and the p-value, rounding to three decimal places.
The null hypothesis and the alternative hypothesis are given as:H0:μ=$62,712; Ha:μ<$62,712The level of significance is α=0.10.
We can perform a one-sample t-test with population standard deviation σ=$26,744. To test the hypothesis, we can use the following formula:z= X¯−μ/σ/√nwhere X¯ is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the given values, we get:
z= 61244.22−62712/26744/√32=−1.96
The test statistic, z=-1.96.
The area to the left of z=-1.96 under the standard normal curve is 0.025. The p-value is 0.025.
Since the p-value (0.025) is less than the level of significance (0.10), we can reject the null hypothesis.
There is sufficient evidence to support the claim that the mean taxable income for an individual taxpayer in the region dropped since the previous year.
Thus, we can conclude that the mean taxable income for an individual taxpayer in the region has decreased since the previous year. The test statistic, z=-1.96 and the p-value is 0.025.
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A model rocket is launched with an initial upward velocity of 138 ft/s. The rocket's height h (in feet) after 1 seconds is given by the following.
h = 138t-16t^2
Find all values of 1 for which the rocket's height is 78 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
t = 8.017 or 0.608 (nearest hundredth)
Step-by-step explanation:
\(h = 138t-16t^2\)
when h = 78:
\(\implies 138t-16t^2=78\)
\(\implies 16t^2-138t+78=0\)
Using quadratic formula:
\(t=\dfrac{138 \pm\sqrt{(-138)^2-(4 \cdot 16 \cdot 78)} }{2 \cdot 16}\)
\(\implies t=\dfrac{138 \pm\sqrt{14052} }{32}\)
\(\implies t=8.017, t = 0.608\)
Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).
Factors of the given expression are \((2x-5) ,(3x+2)\)
The given expression is:
\(6x^2-11x-10\)
What is a factor?A factor is a number that divides another number leaving no remainder.
we can split the middle term as,
\(6x^2-15x +4x-10\\\)
\(3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)\)
Therefore factors of the given expression are \((2x-5) ,(3x+2)\)
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Rectangles ABCD and DEFG are congruent
AB=7cm
AD=17cm
Work out the length of CE
The length of CE is 7cm
How to determine the lengthTo determine the length, we need to consider the properties of a rectangle, we have;
It is a quadrilateralOpposite sides are known to be parallel and congruent to each otherThe interior angles are equal to 90 degreesDiagonals bisect each other at right anglesThe two diagonals have the same lengthRectangle having side lengths of x and y has the perimeter as 2x+2y unitsA rectangle with side lengths x and y has its area as: xy sin 90 = xy square unitsA diagonal of a rectangle is said to be the diameter of its circumcircleFrom the information given, we have that;
AB = 7cm
AD = 17cm
Then, line CE = line AB
But line AB = 7cm
CE = 7cm
Hence, the length is 7cm
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help pls some one pls
hello! can someone tell me the answer for 4/5 x (- 5/7) please? ty <3
Answer:
0.8*x*(‑5)/7
Step-by-step explanation:on the qraph
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
a car is driving around a curve that can be approximated as being circular. in which direction does the centripetal force point?
a. towards the center of the circle b. in the direction of motion c. away from the center of the circle
d. tangential to the circle
e. perpendicular to the plane of the circle
The centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. option a.
When a car is driving around a curve, the centripetal force is provided by the frictional force between the tires and the road. This force acts inwards, towards the center of the circle, and is responsible for keeping the car moving in a circular path.
The centripetal force is always perpendicular to the direction of motion, so option (b) and (d) can be eliminated.
Additionally, there is no force that acts away from the center of the circle, so option (c) can also be eliminated. Option (e) is not applicable since the question is asking about the direction of the force, not its orientation.
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A Rope 25 feet long is cut into 3 pieces. The first piece is 2x feet long, the second piece is 5x feet long, and the third piece is 4 feet long ??
Answer:
'\/(-_-)\/'
Step-by-step explanation:
The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.
Which statement is true about this data set?
A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Write an algebraic expression for 3 times the difference of -4 times q minus 10
Answer:
3*(-4*q-10)
Step-by-step explanation:
what is the defining feature of an experiment? group of answer choices intentional control of factors that might affect the relationship between the independent and dependent variables observation of natural variation of the independent variable intentional manipulation of the independent variable observation of natural variation of the dependent variable
The defining feature of an experiment are manipulation, control , random assignment, and random selection.
Experiment:
Basically, any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the sample space or experiment.
Given,
Here we have to identify the defining feature of the experiment.
While we looking into the given question, the true experiments have four elements: manipulation, control , random assignment, and random selection.
And the most important of these elements are manipulation and control. Where Manipulation means that something is purposefully changed by the researcher in the environment.
Therefore, the key defining feature of an experiment is that it there is active manipulation of independent variables and monitoring of dependent variables.
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One weer to purchase the new backhoes. Old Backhoes New Backhoes Purchase cost when new $91400 $199.994 $41.400 $54,112 Salvage value now Investment in major overhaul needed in next year Salvage value in 8 years Remaining life Net cash flow generated each year $15,200 588.000 Byears 8 years 330.400 344,300 Click here to view PV table (a) Evaluate in the following ways whether to purchase the new equipment or overhaul the old equipment. (Hint: For the old machine the initial investment is the cost of the overhaul. For the new machine, subtract the salvage value of the old machine to determine the initial cost of the investment) (1) Using the net present value method for buying new or keeping the old. (For calculation purposes, use 5 decimal places as displayed in the factor table provided. If the net present value is negative, use either a negative sign preceding the number es 45 or parentheses es (45). Round hinal answer to o decimal places, ex 5.275) New Backhoes Old Backhoes Question 1 of 1 9.17 /10 Waterways should retain Old Backhoes equipment (3) Comparing the profitability index for each choice. (Round answers to 2 decimal places, e.s. 1.25) New Backhoes Old Backhoes Profitability Index 1:20 365 Waterways should retain On Backhoe equipment. Calculate the internal rate of return factor for the new and old blackhoes (Round answers to 5 decimal places, e.3. 5.276473 New Backhoes Old Backhoes
Waterways should retain the old backhoes equipment.
To determine whether it is more favorable to purchase new backhoes or overhaul the old ones, we will evaluate the net present value (NPV), profitability index (PI), and internal rate of return (IRR) for both options.
Net Present Value (NPV):
For the new backhoes:
The initial cost of investment = Purchase cost when new - Salvage value now
= $199,994 - $15,200 = $184,794
The net cash flow generated each year for the new backhoes remains unspecified, so we cannot calculate its NPV.
For the old backhoes:
Initial investment = Cost of the overhaul = $41,400
Net cash flow generated each year = $15,200
Using the provided PV table, we can calculate the NPV for the old backhoes:
NPV = Net cash flow generated each year * PV factor for 8 years - Initial investment
= $15,200 * 5.76162 - $41,400 ≈ $55,689.69
Since the NPV for the old backhoes is positive, retaining the old equipment is favorable.
Profitability Index (PI):
The profitability index is calculated by dividing the present value of cash inflows by the initial investment.
For the new backhoes:
Since the net cash flow generated each year is unspecified, we cannot calculate the PI.
For the old backhoes:
PI = (Net cash flow generated each year * PV factor for 8 years) / Initial investment
= ($15,200 * 5.76162) / $41,400 ≈ 2.11
The profitability index for the old backhoes is 2.11.
Based on the PI, the old backhoes have a higher profitability index than the new backhoes, indicating that retaining the old equipment is more profitable.
Internal Rate of Return (IRR):
The IRR factor for the new and old backhoes is not provided, so we cannot calculate the exact IRR.
In summary, based on the net present value (NPV) and profitability index (PI), it is more favorable for Waterways to retain the old backhoes equipment.
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I know it’s not 26 need help please
Answer:
x=11
Step-by-step explanation:
The angles are opposite interior angles and opposite interior angles are equal when the lines are parallel.
4x = 2x+22
Subtract 2x from each side
4x -2x = 2x+22-2x
2x = 22
Divide by 2
2x/2 =22/2
x = 11
PLEASE HELP
1.How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
2.A chemist needs to mix a 12% acid solution with a 32% acid solution to
obtain an 8‐liters mixture consisting of 20% acid. How many liters of each of
the acid solutions must be used?
9514 1404 393
Answer:
1012%: 4.8 L; 32%: 3.2 LStep-by-step explanation:
For mixture problems, I like to use a single variable to represent the quantity of the greatest contributor (greatest cost or greatest concentration). Let that variable be x.
1. In this problem, the amount of the greatest contributor is already fixed, so we'll use x for the amount of walnuts. The cost of the mix is ...
0.80x + 1.25(8) = 1.00(x +8)
2 = 0.2x . . . . . . . . . . . . . . . . . subtract 0.8x+8, simplify
10 = x . . . . . . . . . divide by 0.2
10 pounds of walnuts must be used.
__
2. The amount of acid in the mix is ...
12%(8 -x) +32%(x) = 20%(8)
20%(x) = 8%(8) . . . . . . . . . . . . subtract 12%(8)
x = 8(8)/20 = 3.2 . . . . . . . . . . divide by 20%
8-x = 4.8
3.2 liters of 32% acid must be mixed with 4.8 liters of 12% acid
_____
Comment on mixture problems
The general solution for mixture problems that have a greater contributor (G), a lesser contributor (L), and a mix value (M) is ...
g/l = (M -L)/(G -M) . . . . . . ratio of quantities of G and L
In the first problem, this becomes ...
8/l = (1.00 -.80)/(1.25 -1.00) = .2/.25 = 4/5 ⇒ l = 8(5/4) = 10
In the second problem, this becomes ...
g/l = (20-12)/(32-20) = 8/12 = 2/3 ⇒ g = (2/5)(8) = 3.2; l = (3/5)(8) = 4.8
In this case, we recognize that the ratio of 2 parts to 3 parts means that the greater contributor is 2 of 5 total parts.
Frank was born in 1933 and died in 1946 at the age of 57. How can this be?
Answer:
Frank was born in 1933 and died in 1946 at the age of 57. 1933 and 1946 are not years but just room or ward numbers.
EXPLANATION:
The numerical 1933 and 1946 do not signify the year of birth or death. No where in the question is the word 'years' mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Similarly 1946 is the room or ward number where Frank died. Hence his age is irrelevant with respect to 1933 and 1946. His related age of 57 thus has nothing to do with them.
Answer:
The numerical 1933 and 1946 do not signify the year of birth or death. Nowhere in the question is the word ‘years’ mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.
Step-by-step explanation:
For which pair of functions is the vertex of g(x) 3 units to the right of the vertex of f(x)?
Answer: A.
\(f(x)=x^2\text{ and }g(x)=(x-3)^2\)Explanation
Given:
\(f(x)=x^2\)As we want to move the vertex 3 units to the right, this means we have to make a transformation on x (not y). Then, we have to make x = 3 when y = 0, meaning:
\(\begin{gathered} x=3 \\ x-3=0 \end{gathered}\)Thus:
\(g(x)=(x-3)^2\)We have to subtract 3 inside the parenthesis because if we add/subtract 3 outside, it would have an impact on y.
length of Mahi-Mahi: 3 ft 8 in.
length Great White Shark: 18 ft
The difference in length between Mahi-Mahi and White Shark will be 14 feet 4 inches.
How to illustrate the expression?The expression has to do with the relationship between the variables that are provided or the data given regarding an information.
Since the length of Mahi-Mahi: 3 ft 8 in and the length Great White Shark: 18 ft. The difference in length will be:
= 18 - 3 feet 8 inches
= 14 feet 4 inches.
The difference in length is 14 feet 4 inches.
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Complete question
length of Mahi-Mahi: 3 ft 8 in.
length Great White Shark: 18 ft
What is the difference in length
Evaluate x³ for x = 2.
06
02
08
Answer:
8
Step-by-step explanation:
x³; x = 2
2³ or 2 × 2 × 2 = 8
I hope this helps!
There are 28 students at a Halloween party, 12 of the students are boys. What is the ratio of students to girls at the party?
Group of answer choices
28:12
28:16
Answer:
28:16
Step-by-step explanation:
Answer:
28:16
Step-by-step explanation:
28-12 = 16
12 is the number of boys
16 is the number of girls
Therefore, 28:16 is the answer.
Hope this helps!
Rewrite in descending order: b) 4010, 4110, 4001, 4011, 4101
Answer:
Step-by-step explanation:
Descending order means large to small
The numbers are: 4010, 4110, 4001, 4011, 4101
4110 > 4101 > 4011 > 4010
Rule : All numbers begin 4.
Order other 3 digits.
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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A $10,000 Treasury bill has 87 days until maturity and its bank discount yield is 1.32% per year. What is the bill's price? 1) $9,973.94 2) $9,960.31 3) $9,951.93 4) $9,979.68 5) $9,968.10
The bill's price is $9,968.10. The correct answer is option 5
To calculate the price of the Treasury bill, we can use the formula for bank discount yield:
BDY = (Discount / Face Value) * (360 / Days) * 100
Given:
Bank discount yield (BDY) = 1.32%
Days until maturity (Days) = 87
Face Value = $10,000
Let's rearrange the formula to solve for the discount:
Discount = (BDY / 100) * (Face Value) * (Days / 360)
Discount = (1.32 / 100) * $10,000 * (87 / 360)
Discount ≈ $31.9
The price of the Treasury bill can be calculated by subtracting the discount from the face value:
Price = Face Value - Discount
Price = $10,000 - $31.9
Price ≈ $9,968.10
Therefore, the bill's price is approximately $9,968.18.
Among the given answer choices, the correct option price is 5) $9,968.10.
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Simplify the product using FOIL.
(3x - 7)(3x - 5)
Answer:
9x² - 36x + 35
Step-by-step explanation:
FOIL = First Outside Inside Last
Step 1: F
9x²
Step 2: O
15x
Step 3: I
-21x
Step 4: L
35
Step 5: Combine FOIL
9x² -15x - 21x + 35
Step 6: Combine like terms
9x² - 36x + 35
Find the midpoint of the segment with the following endpoints.
(-2,7) and (-10, -1)
Answer:
\((-6 ,3 )\)
Step-by-step explanation:
Midpoint Formula: \((\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\)
Simply plug in your 2 coordinates into the midpoint formula to find midpoint:
\((\frac{-2+-10}{2} ,\frac{7+-1}{2} )\)
\((\frac{-2-10}{2} ,\frac{7-1}{2} )\)
\((\frac{-12}{2} ,\frac{6}{2} )\)
\((-6 ,3 )\)