Answer:
Step-by-step explanation:
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.
is 3 quarts more than 3 pints?
Answer:
Yes, 3 quarts is more than 3 pints
Step-by-step explanation:
2 pints make up 1 quart
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
A Nissan four cylinder engine has a stroke of 72mm and a bore of 81.5mm. Calculate the displacement in liters. 2.5 liters O 2.0 liters 1500 liters O 1.5 liters
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
(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 :)
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
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)
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
Solve the following algebra
4-3(6)-1
Answer:
-15Step-by-step explanation:
4-3(6)-1
= 4 - 18 - 1
= 4 - 19
= -15 (Ans)
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
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:
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:
Image attached Please help asap
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
The graph shows that f(x)=(one-third) Superscript x is translated horizontally and vertically to get the function (one-third) Superscript x minus h.
On a coordinate plane, 2 exponential functions are shown. f (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 3), (0, 1), (1, 0.3). g (x) decreases in quadrant 1 into quadrant 4. It crosses the x-axis at (4, 0), and goes through (5, negative 2).
What is the value of k?
−5
−3
3
5
the answer is negative 3
Answer:
The answer is C. on EDG
Step-by-step explanation:
Find RS. Explain your reasoning.
6x + 5=9x - 4
Answer:
x = 3
Step-by-step explanation:
Given the equation :
6x + 5=9x - 4
Collect like terms :
6x - 9x = - 4 - 5
-3x = - 9
Divide both sides by - 3
-3x / - 3 = - 9 / - 3
x = 3
Hence, x = 3
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
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:
I added the picture of the question.
Answer:
A) 4
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 4
h = 2
Work:
A = 0.5bh
A = 0.5(4)(2)
A = 2(2)
A = 4
Answer:
the answer is 10
Step-by-step explanation:
WILL MARK BRAINLIEST PLEASE HELP ME :(
Answer:
Step-by-step explanation:
6) Statement Reasons
∠W = ∠Q Given
WX = QX Given
∠1 = ∠2 Vertically opposite angles
ΔPXW ≅ ΔMXQ A S A congruent (Angle side Angle)
7) ∠1 = ∠4 Given
FH = HF Reflexive property
∠2 = ∠3 Given
ΔFGH ≅ ΔHEF A S A congruent (Angle side Angle)
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
From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____. a. 2 b. greater than 2 c. 3 d. less than 2
Answer:
a. 2
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Standard deviation is known to be 14.
This means that [tex]\sigma = 14[/tex]
Sample of 49
This means that [tex]n = 49[/tex]
The standard error of the mean is
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{14}{\sqrt{49}} = \frac{14}{7} = 2[/tex]
So the correct answer is given by option a.
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 ≈ 77A scientist has 42.359 grams of copper. She uses 3.08 grams in an experiment. How many grams of copper are left?
Answer:
39.279 grams
Step-by-step explanation:
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
Calculate the surface area of a solid box in the shape of a cube with
side length 3cm.
Answer:
54 cm^2
Step-by-step explanation:
side ( a ) = 3 cm
Formula : -
Surface area ( cube ) = 6a^2
Surface area ( cube )
= 6 x ( 3 )^2
= 6 x 9
= 54 cm^2
Answer:
54cm^2
Step-by-step explanation:
There are 6 sides in a cube. One of the sides should have the area of 9, because it's a cube and 3 * 3 is 9.
Considering that one side is [tex]9cm^{2}[/tex], the surface area should be 9 * 6, which is 54.
The surface area is 54cm^2.
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!
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: