Answer:
[tex]36(x-25y)[/tex]
Step-by-step explanation:
Bring out the common factor of 4 from the equation
[tex]4(9x-225y)[/tex]
9 and 225 share a common factor of 9. Factor the 9 out
[tex]9 \times 4 (x-25y)[/tex]
[tex]36(x-25y)[/tex]
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:
A lawn sprinkler waters Kara's yard in a circular motion. The
lawn sprinkler can water grass within a 7 foot radius. What is
the area of the yard that is watered by the sprinkler?
A. 43.98 ft
B. 87.96 ft
C. 153.94 ft
D. 615.75 ft
NEED HELP ASAP PLEASE, check the picture
Answer:
option A
is the correct answer
Step-by-step explanation:
Wet grass forms a circular region of radius r=7 m.
∴ Length of the outer edge of wet grass(Perimeter) =2πr=2×
7
22
×7 m=44 m.
A 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:
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:
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.
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)
Which point is located on the y-axis of a coordinate grid?
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (2, 1)
Answer:
C
Step-by-step explanation:
(x, y) 0 is x and 1 is y so that is exactly on the y axis
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
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:
DUE IN 5 MINUTES PLEASE HELP
Answer:
it's a
Step-by-step explanation:
He lost 50 lbs over a 5 moth period
The Aztec came to power in central Mexico
during the A.D 1300s.
fact or opinion
Answer:
fact
Step-by-step explanation:
Solve the following equation by completing the square. 4x2 – 160 + 8 = 0
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
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
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
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
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:
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.
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
Find the slope of the line on the graph.
The slope should be -1/2, because the line goes down 1 unit and then right 2 units.
Also it would be y = -1/2x+1 in y=mx+b.
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!
y=x^2 + 2
Tell whether it is a minimum or maximum.
O (0, 2); maximum
O (2,0); minimum
O (0, 2); minimum
O (2,0); maximum
HELP PLSSSSSS I will give Brainlyest
Answer:
51/8
Step-by-step explanation:
LCM of 8, 4 and 2 = 8
7/4*2=14/8
3/2*4=12/8
15/8+14/8+12/8=41/8 So Jerry played 41/8 or you can say 4 1/8 hours with his friends
Answer:
[tex]5\frac{1}{8}[/tex] hours
Step-by-step explanation:
First find the common denominator for all numbers.
The common denominator for all of those numbers will be 8.
[tex]1\frac{3}{4}=1\frac{6}{8}[/tex]
[tex]\frac{3}{2}[/tex] The fraction is improper so we must simplify it!
[tex]1\frac{1}{2}[/tex] Then convert it to a mixed number having a common denominator of 8!
[tex]1\frac{1}{2} =1\frac{4}{8}[/tex]
Final Results: [tex]1\frac{6}{8} + 1\frac{4}{8} +1\frac{7}{8} =5\frac{1}{8}[/tex]
Final Answer: [tex]5\frac{1}{8}[/tex]
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
consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?
Answer:
The population standard deviation is 1.92.
Step-by-step explanation:
Population mean:
Sum of all values divided by the number of values. Thus:
[tex]M = \frac{2 + 3 + 5 + 7}{4} = 4.25[/tex]
Population standard deviation:
Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.
[tex]S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92[/tex]
The population standard deviation is 1.92.
(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 :)
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)
What is the mean of the following numbers?
x-3a,x-2a,x-a,x,x+a
Answer:
x - a
Step-by-step explanation:
The mean is calculated as
mean= [tex]\frac{sum}{count}[/tex]
= [tex]\frac{x-3a+x-2a+x-a+x+x+a}{5}[/tex]
= [tex]\frac{5x-5a}{5}[/tex]
= [tex]\frac{5(x-a)}{5}[/tex]
= x - a
the rectangle prism below has a volume of 464 3/4 cubic meters. a- write an equation that could be used to find the length of the prism b- find the length, show your work.
PLEASE HELP!!
Answer:
ok
Step-by-step explanation:
please mark me brainleast
Please someone help me. Thank you.
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6.1/5.1
tan x=1.19
x=[tex]tan^{-1}[/tex]1.19
x=49.95
x=50 degree