Answer:
D
Step-by-step explanation: The vertex is where the curve of the parabola occurs. Pay attention to where the curve of the parabola exists, and write down its coordinates. Over here, the curve is on 3 of the x-axis, and the y-value is 0 because the curve is literally on the x-axis. Any point that is on the x-axis will have no y-value. Hence our answer is (3,0).
The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means as a multiple of the MAD?
Answer:
b
Step-by-step explanation:
Which graph is defined by the function given below?
y= (x + 2)(x+7)
Answer:
A parabola
Step-by-step explanation:
It's a quadratic equation so the graph will be a parabola.
The solutions are -2 and -7
Algebraically manipulating the formula I = Prt, find the principal (PV) deposited in a savings account which earned $11,000 in interest at a simple interest rate of
9.5% for 15 years to the nearest whole cent).
$7,312.07
$8,083.92
$7.719.30
$6,987.44
None of these choices are correct.
Answer: the required principal value is $7,719.30
Step-by-step explanation:
Given: Formula to calculate interest : I= Prt, P=principal value, r = rate of interest, t = time.
I = $11,000
r= 9.5% = 0.095
t= 15 years
Substitute in formula, we get
[tex]11000=(P)\times (0.095)\times(15)\\\\\Righatrrow\ P=\dfrac{11000}{0.095\times15}\approx\$7719.30[/tex]
Hence, the required principal value is $7,719.30
How many 120° angles are in a circle?
Answer:
your answer is 12
I've answered it before and got it right
Answer:
Hello! answer: 3
Step-by-step explanation:
Perfect circles are 360 degrees
120 × 3 = 360 therefore the answer would be 3 Hope that helps!
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77
Step-by-step explanation:
Each girl would have to sell at least 77 boxes of cookies to get over 1,000.
1000 boxes divided by 13 girls is 76.9230... but round up to 77.
Check answer by multiplying 13 by 77 and you get 1,001.
:) ur welcome
Answer:
77 boxesStep-by-step explanation:
Let each cell x boxes, then the sum is:
13x ≥ 1000x ≥ 1000/13x ≥ 76.9 ≈ 77Measurement of angle q
Answer:
34º
Step-by-step explanation:
The sum of the angles in a triangle is 180º
m∠Q = 180 - 90 - 56
m∠Q = 34º
Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book.
Her friend told her that 4 of them can be checked out of the library for free
Complete the equation below to find the total number of books that Sabah can get for
her classes. Use b to represent the total books,
Answer:.
75(b - 4) = 450
Step-by-step explanation:
Given that :
Total amount to spend on books = 450
Total number of books = b
Cost per book = 75
Number of free books = 4
Hence, the number of books sabah will have to pay for will be :
Total Number of books - number of free books
b - 4
Cost of books purchased will be ;
Cost per book * number of books ;
75 * (b - 4)
Total cost = 450
Hence, we have ;
75(b - 4) = 450
Answer:
look at pic
Step-by-step explanation:
Can someone please help, will mark brainliest!! thank you
The numbers are 25 125 (-5x) if you cant read them
Answer:
Step-by-step explanation:
25+125+(-5x)=180 degree (sum of the interior angles of a triangle is 180 degree)
150-5x=180
-5x=180-150
x=30/-5
x=-6
Bob has a box of chocolate.. containing 6 chocolate covered almonds, a chocolate coverud peanuts and 8 plain chocolate, If the chocolates look identical, what is the probability that the first two chocolates Bobcats will have almonds
Answer:
(2/1) indicates that the question can give a maximum ... To make chocolate for bars and candies, cocoa powder, cocoa butter and sugar ... if it contains 70 % cocoa? ... The figure shows 5 squares, each with the same area. ... a) How many grams of dark chocolate does she need if she wants to make ... makes 8 small harts.
Step-by-step explanation:
Point A' is the image of point A when point A is rotated about the origin B. What angle in the counterclockwise direction is
A rotated through?
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.
Point A' has been rotated 90° CCW about point B.
Your employer, a mid-sized human resources management company, is considering expansion into related fields, including the acquisition of Temp Force Company, an employment agency that supplies word processor operators and computer programmers to businesses with temporarily heavy workloads. Your employer is also considering the purchase of Biggerstaff & McDonald (B&M), a privately held company owned by two friends, each with 5 million shares of stock. B&M currently has free cash flow of $24 million, which is expected to grow at a constant rate of 5%. B&M’s financial statements report short-term investments of $100 million, debt of $200 million, and preferred stock of $50 million. B&M’s weighted average cost of capital (WACC) is 11%.
Suppose the free cash flow at Time 1 is expected to grow at a constant rate of gL forever. If gL, WACC, what is a formula for the present value of expected free cash flows when discounted at the WACC? If the most recent free cash flow is expected to grow at a constant rate of gL forever (and gL, WACC), what is a formula for the present value of expected free cash flows when discounted at the WACC?
Step-by-step explanation:
?answering=true&answeringSource=feedPublic%2FhomePage%2F1
this is the link for explanation copy and paste it to see
Suppose the probability of a false positive result on a mammogram is 7% and that radiologists' interpretations of mammograms are mutually independent in the sense that whether or not a radiologist finds a positive result on one mammogram does not influence whether or not a radiologist finds a positive result on another mammogram. Assume that a woman has one mammogram every year for ten years.
(a) What is the probability (as a %) that she will have no false positive results during that time?
(b) What is the probability (as a %) that she will have at least one false positive result during that time?
(c) What is the probability (as a %) that she will have exactly two false positive results during that time?
(d) Suppose that the probability of a false negative result on a mammogram is 3%, and assume that the probability that a randomly chosen woman has breast cancer is 0.0003.
(i) If a woman has a positive test result one year, what is the probability (as a %) that she actually has breast cancer?
(ii) If a woman has a negative test result one year, what is the probability (as a %) that she actually has breast cancer?
Answer:
a) 48.4%
b) 51.6%
c) 12.3%
d) i) 93.0% ii) 3.0%
Step-by-step explanation:
a)
P(fp) = probability of false positive result
P(fp) = 0.07
P(fp = 0) = (1 - 0.07)¹⁰
P(fp = 0) = 0.4839... ⇒ 48.4%
b)
P(fp = 1) = 1 - 0.4839...
P(fp = 1) = 0.516... ⇒ 51.6%
c)
P(fp = 2) = 10C2(0.07)²(0.93)⁸
P(fp = 2) = 0.123... ⇒ 12.3%
d)
P(fn) = probability of false negative
P(b) = probability a randomly selected woman has breast cancer
P(fn) = 0.03
P(b) = 0.0003
If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;
If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%
ii)
If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;
The probability of a false negative is 0.03 or 3%
(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)
What is the median of the data represented in the box plot below?
Answer: 80
Step-by-step explanation: Because it is in the middle.
Solve the following algebra
4-3(6)-1
Answer:
-15Step-by-step explanation:
4-3(6)-1
= 4 - 18 - 1
= 4 - 19
= -15 (Ans)
HELP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILES DEEPLY APPRECIATED
Answer:
9) both of them are in cups measurements, plus they are both ingredients you can use to bake something.
10) both are fruits, both are a similar size.
11) both are animals, though the "41 animals" isn't specified to which animal they are.
12) both are blocks
13) both are cars, both have colors
14) both are types of people with different types of hair colors
Ill give brainliest
Answer:
is 4 an option?
Step-by-step explanation:
I think it is 4
(easy math questions please help) find the value of x
Answer:
Look below
Step-by-step explanation:
1: 19
2: 34
3: 63
4: 8
5: 52
6: 81
7: 4
8: 39
9: 18
Hope this helped :)
Help plss i need this answer ASAP!!!Question:whats the area of this picture?
Answer:
411
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, RQ = 41, QS = 9, and SR = 40. What is the value of the cosine of ∠R to the nearest hundredth?
Answer:
cos R = .98
Step-by-step explanation:
cos R = SR/QR
QR is the hypotenuse of the right triangle. By the Pythagorean theorem
(QR)^2 = (QS)^2 + (SR)^2
= 9^2 + 40^2
= 81 + 1600
= 1681
QR = 41
Cos R = adjacent side/hypotenuse = 40/41 = .98
The value of the cosine of ∠R to the nearest hundreth is 0.98.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
The sides can also be found using pythagoras theorem. Therefore,
∠S = 90°
RQ = 41
QS = 9
SR = 40
cos R = adjacent / hypotenuse
Therefore,
adjacent side = 40
hypotenuse = 41
cos R = 40 / 41
cos R = 0.97560975609
cos R = 0.98
learn more on right triangle here: https://brainly.com/question/27309330
A television costs $450. During a special sale, it’s marked 1⁄3 off. What’s the sale price of the TV?
Answer:
The sale price of the TV is $ 300.
Step-by-step explanation:
Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:
1/3 = 0.333
1 - 0.333 = 0.666
450 x 0.666 = X
300 = X
Therefore, the sale price of the TV is $ 300.
Please help it would be much appreciated!!
There are 4 routes from Danbury to Hartford and 6 routes from Hartford to Springfield. You need to drive from Danbury to Springfield for an important meeting. You don’t know it, but there are traffic jams on 2 of the 4 routes and on 3 of the 6 routes. Answer the following:
a. You will miss your meeting if you hit a traffic jam on both sections of the journey. What is the probability of this happening?
b. You will be late for your meeting if you hit a traffic jam on at least one, but not both sections of the trip. What is the probability of this?
c. What is the probability that you will hit no traffic jam?
Answer:
a) P) 0.25 = 1/4 both
b) P) 0.75 = 3/4 one
c) P) 0.25 = 1/4 none
Step-by-step explanation:
4 routes to D + H
6 routes to H + S
= D H S
4 | 6
- 2 | -3
= 2 | 3 = route 1 = 2/4 and route 2 = 3/6
= 1/2 route 1 and 1/2 route 2
Answer a ) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
Answer b) = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability
Answer c) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability
the scale of a map is 1/8 inch = 10 miles. If 2 cities are 3 inches apart on the map, he
e are the from each other?
Answer:
They are 240 miles away from each other
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
what is cardinal number of set when A={2,4,6,8}
Answer:
4
Step-by-step explanation:
The Cardinal number of a set can be explained as the number of distinct element in a finite set :
Given the set :
A = (1,2,3,4)
The number of distinct element in the set is :
4, hence, the Cardinal number of the set is 4
2. Evaluate the function (3pts each) f(x) = 2x2 -*+5 a) f(-2) b) f(2x) c) f(x-1) 3. Find the domain of the function. (5 pts each) 7X-5 a) f(x) = Vax- x²1 b) g(x) = x25x+6 Domain: Domain: 4. Calculate the difference quotient on the following function. You must show work for credit. (5pts) f(x) = 3x2 - 5
Answer:
2a : f(-2) = 15
2b : f(2x) = 8x² - 2x + 5
2c : f(x-1) = 2x² - 5x + 8
3a : x > 1/3
3b : x <> {2,3}
4 : 6x
Step-by-step explanation:
2a.
2×(-2)² - (-2) + 5 = 2×4 + 2 + 5 = 15
2b.
2×(2x)² - 2x + 5 = 2×4x² - 2x + 5 = 8x² - 2x + 5
2c.
2×(x-1)² - (x-1) + 5 = 2×(x² - 2x + 1) - x + 1 + 5 =
= 2x² - 4x + 2 - x + 1 + 5 = 2x² - 5x + 8
3a.
the square root is not defined for negative values, which would happen for any x < 1/3. and for x=1/3 the expression would be a division by 0, which is also undefined.
so, all that is left is x>1/3.
3b.
we must avoid a division by 0. everything else is well defined.
so, when is that expression x² - 5x + 6 = 0 ?
solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/2a
a = 1
b = -5
c = 6
x = (5 ± sqrt(25 - 24))/2 = (5 ± sqrt(1))/2 = (5 ± 1)/2
x1 = (5+1)/2 = 6/2 = 3
x2 = (5-1)/2 = 4/2 = 2
so, these values must be avoided for x. everything else is valid.
4.
(f(x+h) - f(x))/h
for h going to 0.
f(x) = 3x² - 5
f(x+h) = 3×(x+h)² - 5
f(x+h) - f(x) = 3×(x² + 2hx + h²) -5 - 3x² + 5 =
= 3x² + 6hx + 3h² - 3x² = 6hx + 3h²
=>
(f(x+h) - f(x))/h = (6hx + 3h²)/h = 6x + 3h = for h 0 = 6x
Solve the following equation: -4(y - 2) = 12 *
1 point
y = 1
y = 5
y = -1
y = -5
y = 14
Answer:
y = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4(y - 2) = 12
Step 2: Solve for y
[Division Property of Equality] Divide -4 on both sides: y - 2 = -3[Addition Property of Equality] Add 2 on both sides: y = -1Answer:
-4y+8=12
-4y=12-8
-4y=4
y=-1
Computer keyboard failures are due to faulty electrical connects (8%) or mechanical defects (92%). Mechanical defects are related to loose keys (27%) or improper assembly (73%). Electrical connect defects are caused by defective wires (35%), improper connections (13%), or poorly welded wires (52%). Round your answers to four decimal places (e.g. 98.7654).
Solution :
Faulty electrical connects = P(A) = 0.80
Mechanical defects = P(B) = 0.92
Mechanical defects are related to loose keys = P(C/B) = 0.27
Improper assembly = P(D/B) = 0.73
Defective wires = P(E/A) = 0.35
Improper connections = P(F/A) = 0.13
Poorly welded wires = P(G/A) = 0.52
Now, the probability due to loose keys = 0.27 x 0.92 = 0.2484
Improperly connected = 0.13 x 0.80 = 0.1040
Poorly welded wires = 0.52 x 0.80 = 0.4160
So, the probability that a failure is due to improperly connected or poorly welded wires = 0.1040 + 0.4160
= 0.5200
Multiply the following polynomials.
(3x²- 5x + 2)(7x + 1)
A. 21x³- 35x²+ 14x + 1
B. 21x³+ 38x²+ 19x + 2
C. 21x³+ 3x²+ 14x + 2
D. 21x³- 32x²+ 9x + 2
Answer:
21x^3-32x^2+9x+2
Step-by-step explanation:
(3x²- 5x + 2)(7x + 1)
Distribute
7x* (3x²- 5x + 2) + 1 *(3x²- 5x + 2)
21 x^3 -35x^2 +14x + (3x²- 5x + 2)
Combine like terms
21x^3-32x^2+9x+2
Answer:
D. 21x³- 32x²+ 9x + 2
Step-by-step explanation:
( 3 x²- 5 x + 2 ) ( 7 x + 1 )
Using distributive property
7 x ( 3 x²- 5 x + 2 ) + 1 ( 3 x²- 5 x + 2 )
multiply,
21 x ³ - 35 x² + 14 x + 3 x² - 5 x + 2
arranging like terms together
21 x³ - 35 x² + 3 x² + 14 x - 5 x + 2
21 x ³ - 32 x² + 9 x + 2
In a carnival game, there are 8 identical boxes, one of which contains a prize. Contestants guess which box contains the prize. The game is played until one of the contestants guesses it correctly. A contestant with the smaller number of guesses wins the prize. Before each game, a new prize is placed at random in one of the 8 boxes. Is It appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 2 times?
A. No. The trials are not independent.
B. No. The trials do not have the same success.
C. No. The number of this is not fixed.
D. Yes. The trials are independent, identical, have only two outcomes, have the same (sco), and the number of trials is faed.
E. No. The trials have more than two outcomes.
F. No. The trials are not identical.
Answer:
C. No. The number of trials is not fixed.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
It is needed that:
In each trial, the probability of a success is the same, that is, the trials are independent.
A fixed number of trials.
The game is played until one of the contestants guesses it correctly.
This means that there is not a fixed number of trials, and thus, the binomial probability distribution cannot be used to solve this question, and the correct answer is given by option c.
Answer:
Step-by-step explanation:
A TV repair service company has a seasonal demand for its service,and there is a general shortage of skilled TV repair persons.Which one of the following is a capacity production planning alternative suitable for this situation?
A) Hire and lay off workers to match the demand requirements.
B) Increase the backlog for short-term demand surges.
C) Offer reduced prices during the slack season.
D) Build anticipation inventories.
Answer: increase the backlog for short term demand surges
Step-by-step explanation:
Since the TV repair service company has a seasonal demand for its service,and there is a general shortage of skilled TV repair persons, the capacity production planning alternative that's suitable for this situation will be to increase the backlog for short-term demand surges.
Offering reduced prices during the slack season isn't appropriate as this will lead to a reduction in revenue. Building anticipation inventories is also wrong as there may be differences in the forecast made.
The correct option is B.