Answer:
Step-by-step explanation:
you can think in a reverse way:
Take
[tex]3x(x^2+2x+3y^2)= 3x^3+6x^2+9xy^2.[/tex]
So the answer is
[tex]3x^3+6x^2+9xy^2 = 3x(x^2+2x+3y^2)[/tex]
What is the range of this function? (16, 1) (18, –1) (3, 0)
Answer:
Exactly
Step-by-step explanation:
For a given day, temperature can be recorded as hot, mild and cold while weather can be sunny or cloudy. The probability that the temperature is hot, mild and cold are .15, .55 and .30, respectively. Probability that the weather is sunny if the temperature is hot is .67, if the temperature is recorded mild is.36, and if the temperature is cold is.33. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
(a) List all probabilities given in this problem, expressed in terms of events that you define.
(b) What is the probability that it is a sunny day?
(c) Given that the weather is sunny, what is the probability that the temperature is hot? mild? cold?
(d) Given that the weather is cloudy, what is the probability that the temperature is hot? mild? cold?
(e) Is the cloudy weather independent of hot weather?
Answer:
a) p(H) = 0.15
, p(M) = 0.55
, p(C) = 0.30,
p(S | H) i.e. sunny and hot = 0.67
P(c | H) i.e. cloudy and hot = 1 - 0.67 = 0.33
P( S | M) i.e. sunny and mild = 0.36
P(c | M) i.e. cloudy and mild = 1 - 0.36 = 0.64
P( S | C )i.e. sunny and cold = 0.33
P( c | C) = 1 - 0.33 = 0.67
b) ≈ 0.40
c) P ( H | S ) = 0.2513
P( M | S ) = 0.495
P(C | S) = 0.2475
d) P( H I c ) = 0.0825
Probability of mild and cloudy= 0.587
Probability of cold and cloudy = 0.335
e) No
Step-by-step explanation:
a) List All probabilities given in this problem
lets represent each condition with the first letter
Temperature : Hot ( H ) , mild ( M ) , cold ( C )
weather : Sunny ( S ) and cloudy ( c )
hence the probabilities are ;
p(H) = 0.15, p(M) = 0.55, p(C) = 0.30,
p(S | H) i.e. sunny and hot = 0.67
P(c | H) i.e. cloudy and hot = 1 - 0.67 = 0.33
P( S | M) i.e. sunny and mild = 0.36
P(c | M) i.e. cloudy and mild = 1 - 0.36 = 0.64
P( S | C )i.e. sunny and cold = 0.33
P( c | C) i.e. cloudy and cold = 1 - 0.33 = 0.67
b) probability of a sunny day
P ( s ) = P( H ) * P( S | H ) + P( M ) * P( S | M ) + P(C) * P( S | C)
= (0.15 * 0.67) + ( 0.55 * 0.36 ) + ( 0.30 * 0.33 )
= 0.3975 ≈ 0.40
c) Given the weather is sunny ( application of Bayes theorem = P(A and B) / P(B) )
P ( H | S ) = ( 0.15* 0.67 ) / 0.4
= 0.2513
P( M | S ) = 0.55 * 0.36 / 0.3975
= 0.198 / 0.4
= 0.495
P(C | S) = 0.3 * 0.33 / 0.4
= 0.099 = 0.2475
D) Given that the weather is cloudy
P( c ) = 1 - 0.4 = 0.6
P( H I c ) = ( 0.15*0.33) / 0.6
= 0.0825
Probability of mild and cloudy = (0.55*0.64) / 0.6 = 0.587
Probability of cold and cloudy = ( 0.30 * 0.67) / 0.6 = 0.335
e) The cloudy weather ( c ) is not Independent of the hot weather
because condition for independency ( P(c) x P( H ) = P( c and H) ) is not fulfilled.
PLZ ANSWER AND SHOW WORK TY :D
Answer:
[tex]-\frac{\sqrt{21}}{2}[/tex]
Step-by-step explanation:
ASTC (I use a sentence to memorize: All Students Take Calculus):
Q1 - All functions are positive
Q2 - Sine is positive (Cosecant is positive as well) (all others negative)
Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)
Q4 - Cosine is positive (Secant is positive as well) (all others negative)
Applying ASTC:
Secant is negative, so it can't be in quadrant 1, and quadrant 4.
Quadrant 2 - Sine and Quadrant 3 - Tangent are left.
Cosecant is positive so it can't be in quadrant 3.
Therefore, angle x is in Quadrant 2 or QII
Secant is hypotenuse / adjacent
5 = hypotenuse (hypotenuse is never a negative number)
-2 = adjacent
use pythagorean theorem to solve for opposite (bc tan = opp / adj)
[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]
tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]
A custodian plans to repaint some classroom bookcases. She has 5 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallons of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
7 bookcases
Step-by-step explanation:
Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:
5.25/0.75
= 7
So, the custodian will be able to repaint 7 bookcases
Which of the following is the graph of the equation below?
Answer:
Step-by-step explanation:
Find the graph to the equation below plz 20 POINTS
Answer:
the last one option 4
Step-by-step explanation:
A calculation of the value of everything that you own minus the amount of money that
you owe.
Assets
Investment
Liabilities
Net Worth
Answer:
a
Step-by-step explanation:
the answer is asset because asset is the best option to be choosed
please answers this questions PLEASE I NEED THE FAST please
Answer:
Not gonna do the whole thing for you for 5 points
Step-by-step explanation:
The formula for Circumference is C = 2πr or C = dπ
r (radius) is the length of halfway across the circle
d (diameter) is the length across the whole circle (also it's equal to 2r)
You can solve it with that info
Don't forget to round if you need to
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
If it's area, then:
area = 148.2 yd²
Step-by-step explanation:
area = 19 x 7.8 = 148.2 yd²
The square canvas of a painting has an area of 64 ft2. How many feet of border should be ordered to make a frame for the painting?
4 ft
8 ft
32 ft
128 ft
You would burn about 200 calories by walking for 1 hour. About how many calories would you burn if you walk for 15 minutes? PLS HELP ME!!!
Answer:
50
Step-by-step explanation:
So first just sort the times, and the number of calories:
200 calories -> 1hr
x -> 15 mins
So an hour is 4 times the amount of 15 mins, so all you need to do is divide 200 by 4. The answer is 50
The width of a rectangle measures (4d – 8) centimeters, and its length measures
(7d – 3) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
Answer:
(22d-22) cm
Step-by-step explanation:
perimeter= 2×(4d-8+7d-3)
= 2× (11d-11)
(22d - 22) cm
Answer:
(22d-22)cm
Step-by-step explanation:
Perimeter = 2 x (width + Length)
= 2 x [(4d – 8) + (7d – 3)]
= 2 x (11d-11)
= (22d-22)cm
Find the value of each variable in the parallelogram.
aº
b
101
a
b=
Answer:
a= 79°
b= 101°
Step-by-step explanation:
thats the rule of a parallelogram
NEED HELP FAST PLS CLICK TO SEE
Select the correct answer.
if f(t) = 2 - 4 and 9 (7)
= 2 – xż and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
OA. (-0, 2] and [2, 0)
OB. [0, 4) and (4, )
Oc. (-0, 2] and [4, 0)
D. (-0, -2] and [2, )
Answer:
Option B will be your answe
Step-by-step explanation:
hope it helps....
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all of the possible values of the combined weights of the kittens.
3.4 x 7 = 23.8 ounces
3.3 x 7 = 23.1 ounces
3.2 x 7 = 22.4 ounces
3.1 x 7 = 21.7 ounces
3 x 7 = 21 ounces
and so on, use a calculator and go until hit 0.1 btw all these answers r written in bold. :)
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Help me pls thanks so much
Answer:
B. (50.27)
Step-by-step explanation: a = (pi)r^2
8/2 = 4
4^2 = 16
16(pi) = 50.27
You're welcome :)
Answer:
=50.285714
Step-by-step explanation:
Area of a circle is equal to πr^2
diameter = 8 so radius = 4
22/7x4x4
22/7x16
=352/7
=50.285714
What are the odds of spinning red on the spinner shown?
Blue
Red
Green
Yellow
Red
Blue
Answer:
The answer in fractional form is 2/4, or 1/2
Step-by-step explanation:
The formula for odds is:
favorable outcomes/unfavorable outcomes
So, there are 2 reds (favorable) and 4 other colors (unfavorable) =2/4
Answer: I am Going to say 1/2
Which description best summarizes the correlation between the calls made and the texts sent
Mm
Answer:
Weak positive
Step-by-step explanation:
From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.
However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.
Jasmine spent 30$ on supplies to make 60 cupcakes for a bake sale.jasmine wants to have a profit of more than 90$.Write an inequality to find the price,p jasmine could charge for each cupcake.
(i need to find what inequality finds the answer)
ALL MY 100 POINTS FOR HELP PLEASE!!
Answer:
$1.50
Step-by-step explanation:
A group of students were asked how many sisters they have visited in their lifetime. Below is a lot plot of their responses. How many observants are in this data set?
4 Which number line represents the solution to the inequality 4 + 2x <6
Answer:
h
Step-by-step explanation:
H
Which dot plot shows a sample that is most representative of the number of pets in a household?
questions
PLUS 1st who answers gets brainlyest
A B C D
Answer:
C dot plot shows a sample that is most representative of the number of pets in a household.
3√7 please help I dont understand
Factor the quadratic:
2x^2-7x+3
Which statement best describes the association between variable X and variable Y?
Answer:
weak, negative association
Step-by-step explanation:
If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.
Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.
What is the value of x in triangle PQR below?
Q
389
489
R
[Not drawn to scale)
88
0940
1329
1420
Mark this and retum
Save and Exit
Next
Submit
Answer:
Hello! answer: x = 94
Step-by-step explanation:
Triangles add up to 180 degrees so we just add up the two measures we do have so 48 + 38 = 86
Now we subtract that from 180 to find x so
180 - 86 = 94 So 94 is x Hope that helps!
what is the area of a rectangle of 5/9 m in length and 7/8 m in width
Answer:
35/72 [tex]m^2[/tex]
Step-by-step explanation:
Rectangle Formula: [tex]l*w=Area[/tex]
Switch the variables with the numbers given:
[tex]\frac{5}{9} *\frac{7}{8} =Area[/tex]
Multiply the top and bottom:
5*7 = 35
9*8 = 72
35/72 = Area
A teacher has 50 tests to grade. She can grade 4 tests in 6
minutes. How long will it take her to grade all of the tests?
(A) 12.5 minutes
(B) 24 minutes
(C) 75 minutes
(D) 300 minutes
Answer:
c: 75 minutes
Step-by-step explanation:
50/4 = 12.5
6 x 12.5 = 75