Answer:
Option e. "Polynomial in the form..."
Step-by-step explanation:
You can just look at the form that the problem is in. It's written in the exact form that this option is displaying.
Hope this helps :)
Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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In the equation y=14x what is the constant of proportionality.
A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.
Answer:
24 adults
Step-by-step explanation:
because it's just subtract 212-188=24
I think
Find the area of a circle with a circumference of
units.
This is the formula for circumference of circle
Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRoot
Answer:
Option A
Step-by-step explanation:
The circumference of a circle is 20pi m. find its diameter,in meters
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20simplify 2 by 5 into 4 by 7 + 21 by 35
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate
Pick 1 for each blank PLS HURRY!!!!
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
To learn more about a triangle, please check: https://brainly.com/question/9329354
help me pleassseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
it is aas triangle
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope of this line is y=3x-3
Step-by-step explanation:
(I'm not sure but is the line on the point(1,0)? or is it past that point?)
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
-9y + 8(4z + 3y) -6x
PLZ HELP
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
6. (4. 1) and (1, 4) are on the line
Answer: This is used by
Step-by-step explanation:
What is 1+1?
I really need this answer i dont know it
Answer:
2
Step-by-step explanation:
g (r)=-5r+13
g(3) Evaluate Functions
Answer: Algebra. Evaluate the Function g (3)=-5r+13. g(3) = −5r + 13 g ( 3) = - 5 r + 13. Replace the variable r r with 3 3 in the expression. g(3) = −5⋅3+13 g ( 3) = - 5 ⋅ 3 + 13. Simplify the result. Tap for more steps... Multiply − 5 - 5 by 3 3. g ( 3) = − 15 + 13 g …
Step-by-step explanation: sorry if this does not helps please give me brainly
Please help fast Find the volume of a right circular cone that has a height of 15-3 ft and a base with a
radius of 13.9 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
3095.6 ft³
Step-by-step explanation:
Volume cone = 1/3(πr²h)
= 1/3(π(13.9)²(15.3))
= 1/3(π(193.21)(15.3))
= 1/3(2956.113π)
= 985.371π ≈ 3095.6 ft³
-Chetan K
answer dis please
Aiko3han owo
Answer:
b
Step-by-step explanation:
B. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.
Answer:
Step-by-step explanation:
Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home
Step-by-step explanation:
4 + 3 = 7
petra robyn total
210 / 7 =30
wage total
ratio
30× 4 = $120
Petra's part
30× 3 = $90
Robyn’s part
FOR A BRAINLIST PLS HURRY
Answer:
y = x
Step-by-step explanation:
line has a slope 1 and passes through the origin . So the equation is y = x
(Picture provided)
Helppppppp plsss
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answer:
Step-by-step explanation:
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
What is the perimeter, in meters (m), of ∆PRT?
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
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Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!