Answer:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Step-by-step explanation:
We know that the possible values of X (all with the same probability) are:
2 < X < 8.2
And for Y we have the range (also uniform):
3.01 < Y < 6.3
Then we have a rectangle of area.
(8.2 - 2)*(6.3 - 3.01) = 20.398
Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.
And zero if the point is outside that region, this is:
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Answer two questions about Equations A and B:
A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Multiply/divide both sides by the same non-zero constant
D. Multiply/divide both sides by the same variable expression
2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
help me pls! PLS PLS PLS I NEED IT
20 points
options are x, x^9, x^4, and x^6
Answer:
x^4
Step-by-step explanation:
The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4
5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)
Answer:
Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!
Step-by-step explanation:
PLS DUE RN
WILL GIVE
BRAINLIST
Answer:
Percent Decimal Fraction
331/3% 0.333. ..1/3
Find y given that x = –4: y = –4x – 6
Answer:
y=10
Step-by-step explanation:
Substitute -4 in place of x
y = -4*-4-6
y=10
Given to
BE
EC
Prove: AB || DE
A
D
3
C
1
2
E
B
Complete the steps of the proof.
Answer:
Step-by-step explanation:
Given:
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
To Prove:
AB║DE
Solution:
Since, corresponding sides of ΔACB and ΔDCE are proportional,
[tex]\frac{AD}{DC}=\frac{BE}{EC}[/tex]
Both the triangles will be similar.
ΔACB ~ ΔDCE [By SAS property of similarity]
Therefore, ∠1 ≅ 2 [CPCTC]
Since, ∠1 and ∠2 are the corresponding angles
Therefore, AB║DE [Converse of corresponding angles theorem]
8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30
Answer: A. $4.12
Step-by-step explanation:
Y=a(1+r/n)^nt is the equation we use to solve this.
a= $0.43
t=37 - take 1980 and subtract it from 2017
r= .063 - the 6.3% goes into a decimal
n = 1
Y= ?
Y= 0.43( 1+ .063/1) ^1*37
Y= 0.43 (1.063) ^37
Y= 4.12
Help me pleaaaaaseeee
PLEASSE HELP QUICKLY
Answer:
x = 73
Step-by-step explanation:
A circle is 360 degrees
4x-5 + x = 360 degrees
5x - 5 = 360 degrees
5x = 365 degrees
Divide by 5
5x/5 = 365/5
x =73
Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98
Answer:
14.99 + 25.99 - X = 30.98
14.99 + 25.99 - X
Step-by-step explanation:
They all relate to what the question is asking, and make the most sense
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
Find the height and slant height of the cone. Round your answers to the nearest whole number.
Answer:
Height = 4 cm and slant height = 5 cm
Step-by-step explanation:
Given that,
The surface area of the cone, A = 75.4 cm²
Radius, r = 3 cm
The surface area of the cone is given by the formula as follows :
[tex]A=\pi r^2+\pi rl[/tex]
Put all the values,
[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]
Also,
[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]
Hence, the height of the cone is 4 cm and the slant height is 5 cm.
Sasha sold "c" corndogs for $4 each and "p" bags of popcorn for $3. Sasha
made a total of $500. Write the equation that represents this situation.
Answer:
$500=$4c × $3p
because $4 each is 4 times c. and the same for the popcorn
Answer:
agree with answer above
$4c + $3p = $500
Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)
Answer:
If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.
Step-by-step explanation:
Hope this helps!
Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.
Probability can be calculated using the following expression:
[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]
When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.
When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.
An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.
The table slow shows Larry's scores on 6 different math tests. What is Larry's mean score on the 6 tests?
Test: 1 2 3 4 5 6
Score: 88 78 76 86 92 96
Answer:
86
Step-by-step explanation:
which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2
Answer:
The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.
Step-by-step explanation:
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
The area of the rectangle is 4 sq yards.
Step-by-step explanation:
Given that,
The length of the rectangle, [tex]L=\dfrac{2}{13}\ yards[/tex]
The breadth of the rectangle, B = 26 yards
We need to find the area of the rectangle. The formula for the area of a rectangle is given by :
A = LB
Put all the values,
[tex]A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2[/tex]
So, the area of the rectangle is 4 sq yards.
Solve for the x variable
Answer:
5x-5.2=7.3
5x=7.3+5.2
5x=12.5
x=12.5÷5
x=2.5
Answer: x = 2.5
Step-by-step explanation:
Try to get x by itself
5x - 5.2 = 7.3
5x = 7.3 + 5.2
5x = 12.5
x = 12.5 / 5
x = 2.5
(6x2 + 8)(3x2 – 5x + 7)?
5. A parallelogram has vertices D(-1,1) E
(2,4) F(5. 1 )G(2,-2) Which description best describes the figure? A rectangle B trapezoid, C. Square, D. Kite
Answer:
C
Step-by-step explanation:
17. The present age of a father and his son is 50yrs and 20yrs respectively. How many years ago
the product of their ages was 451.
Answer:
9 yrs ago
Step-by-step explanation:
(50-x)(20-x) = 451
x^2-70x + 1000 = 451
x^2-70x + 549 = 0
(x-9)(x-61) = 0
x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)
Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY
Answer:
See attached photo!
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP What is the measure of
T
175°
H
57°
F
Answer:
m<G = 59°
Step-by-step explanation:
Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs
m<G = ½(arc TE - arc HF)
m<G = ½(175 - 57)
m<G = ½(118)
m<G = 59°
24/10 into hundredths
Answer:
240/100
Step-by-step explanation:
just multiply 24 by 10 to get hundredths
Please helppppp !!$$
Step-by-step explanation:
please I'm not sure for the numbers 3 and 2.
for number 10,
2/3x -4 = 3 +5
2/3x = 8+4
2/3x = 12
2x= 12 x 3
2x = 36
x = 18
and for number 4
(y+1)/5 - (y-2)/4 = -1
to clear out the fraction, multiply throughout by 20
after multiplying, we have
4(y+1) -5(y-2)= -20
4y+4-5y+10 =-20
14 -y = -20
-y = -20 + 14
-y = -6
y = 6
Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4
Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.
Answer:
19
Step-by-step explanation:
Given the expression:
Add the quotient of 35 and 5 to the product of 2 and 6.
Quotient of 35 and 5 :
35 / 5 = 7
Product of 2 and 6 :
(2 * 6). = 12
Adding the result of the both calculations :
7 + 12 = 19
Writing the expression together :
35/5 + (2 * 6)
7 + 12
50 POINTS
What is the correct reason for statement 3?
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]
Answer:
Where is the picture
Step-by-step explanation:
need help please finding the asnwer to number 4
9514 1404 393
Answer:
x = 6.4
Step-by-step explanation:
The corresponding sides are proportional, so we have ...
horizontal/vertical = x/(5+3) = 4/5
x = 8(0.8) = 6.4 . . . . . . multiply by 8
Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys
Answer:
y = 5x+8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope is 5 and the y intercept is 8
y = 5x+8