Answer:
P=0.0000037
P=0.00037%
Step-by-step explanation:
Probability
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is
[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]
Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]
Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is
[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]
Finally, the probability of getting the remaining ace out of the 49 cards is:
[tex]\displaystyle \frac{1}{49}[/tex]
The probability of getting the four consecutive aces is the product of the above-calculated probabilities:
[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]
[tex]\displaystyle P= \frac{1}{270,725}[/tex]
P=0.0000037
P=0.00037%
A number to the 10th power divided by the same number to the 7th power equals 125. What is the number?
The number is
Answer:
the number is 5
Step-by-step explanation:
x^10 ÷ x^7 = 125
x^3 = 125
x = 5
Find m 5
Lines L and M are parallel
Answer:
142
Step-by-step explanation:
<38 and <6 are vertical angles so they both measure 38
<6 and <5 are same side interior angles so they add up to 180
knowing this, you can simply subtract 38 from 180 to find <5
180 - 38 = 142
8
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the
account.
What was the balance in Juan's investment account after 3 years?
F $101.25
G $559.03
H $109.03
J $551.25
Answer:
J $551.25Step-by-step explanation:
Step one:
given data
principal= $450
rate= 7.5%= 0.075
time = 3 years.
Step two:
the simple interest formula is
A=P(1+rt)
Substituting we have
A=450(1+0.075*3)
A=450(1+0.225)
A=450(1.225)
A=551.25
The answer is $551.25
Translate each inequality. Do not solve.
"Seven more than three-fourths of a number is 31
Please help:(
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
What were Morrie's errors? Check all that apply. He should have made all the signs positive. He should have changed Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) to Negative StartFraction 5 over 6 EndFraction + three-fourths He should have found the common denominator, 12. He should have subtracted StartFraction 5 over 6 EndFraction and Three-fourths The answer should be Negative StartFraction 1 over 12 EndFraction
Answer:
The answer should be B C and E!Thank me later.Don worry i took this question!Good luck!
Step-by-step explanation:
Answer:
the guy above me correct thank u
Step-by-step explanation:
Plzz help if u can plzzzz
Answer:
I think 32
I'm not sure
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Write the first step you would take to solve each equation.
1. 3x + 2 = 7x
Answer:
Subtract [tex]7x[/tex]from both sides of the equation.
Step-by-step explanation:
According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.
(03.04 LC) When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? There is no change to the graph because the exponential portion of the function remains the same. The x‐intercept is 13 spaces higher. The y-intercept is 13 spaces lower. All input values are moved 13 spaces to the left.
Answer:
The y-intercept moves 13 spaces lower
Step-by-step explanation:
Answer:
The y-intercept moves 13 spaces lower
Step-by-step explanation:
Question 15
Consider this set of ordered pairs: {(-2,-1), (2,1), (1,5), (-2,4)}. What is the range?
A
{-2, 1, 2}
B
All Real Numbers
С
{-1, 1,4,5)
D
{-2,-1, 1, 2, 4, 5)
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is a set of x-values (input values) of the function.
Similarly, Range of a function is a set of y-values (output values).
Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.
Domain → {-2, 2, 1, -2}
Range → {-1, 1, 4, 5}
Option C will be the correct option.
okay here they are there is only 2 things right now but I am making more right now
Answer:
So whats the question?
Step-by-step explanation:
What are the like terms you must combine first? 4(x + 3) – 2x + 8 = 28
Answer:
the answer is x = 4
Step-by-step explanation:
first you wanna subtract 8 from both sides
then it should look like this... [tex]4\left(x+3\right)-2x=20[/tex]
then this... 2x+12=20
next you need to subtract 12 from both sides
then it'll look like this 2x=8
then this... [tex]\frac{2x}{2}=\frac{8}{2}[/tex]
lastly your gonna simplify it and and your answer will be...
x = 4
hope this helps :)
If gasoline costs $3.92 per gallon, and filling up a car’s tank costs $49.00, how many gallons does the tank hold?__________ gallons
HELP ASAPPPPPPP! THIS IS DUE AT 11:59 P.M. AND I HAVE BEEN DOING THIS TEST FOR SO LONG I CANT EVEN FUNCTION PROPERLY, PLEASE HELP :(
Answer:
12.5
Step-by-step explanation:
49.00/3.92=12.5
4. How many seconds will it take an echo to reach your ears if you yell toward a mountain
82 m away on a day when the air temperature is Oº C?
t = ?
The time taken by sound to reach your ear is 0.25 second.
Time of echo :The speed of sound at temperature of 0º C is 331.5m/s
the relation between distance , time and velocity is,
[tex]x=v*t\\\\t=\frac{x}{v}[/tex]
Where, x is distance, v is velocity and t is time.
Given that, [tex]x=82m,v=331.5m/s[/tex]
Substitute values in above relation.
[tex]t=\frac{82}{331.5}=0.25second[/tex]
the time taken by sound to reach your ear is 0.25 second.
Learn more about the sound velocity here:
https://brainly.com/question/2142871
Solve each system by elimination.
1) -r – 2s + t = 1
6r - + 4t = -28
-3r + 5s – 4t = 26
Answer:
s = 54/31
r= -156/31
t= -17/31
Step-by-step explanation:
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
<
1 2 3
4
5
6
ET Review
Will give brainiest and thx for the help
Challenge The price of Stock A at 9 A.M. was $12.91. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $13.41. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
In 2 2/15 hours, the prices will be same
Step-by-step explanation:
I hope this helps :)
Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.
JK is 2 inches long, find the length of the remaining sides. O Parallelograms have opposite sides that are
2 in.
congruent.
K
If side JK is 2 inches long, then side ML must also
be 2 inches long.
If side JK is 2 inches long, then side KL must also
be 2 inches long.
Side JK is half as long as side KL.
O Side JK is twice as long as side KL.
M
Sides KL and JM are both 4 inches long.
Sides KL and JM are both 1 inch long.
Answer:1,2,4,6
Step-by-step explanation:
I just finished this assignment!!! Good luck and God bless.
Adrian works in New York City and makes $42 per hour. She also tutors during her lunch for $25. If she wants to make more than $360 a day, at least how many hours must she work?
Answer:
5
Step-by-step explanation:
I NEED HELP IMMEDIATELY. MY ASSIGNMENT IS DUE IN AN HOUR
Answer: the first one would be 31.65
Step-by-step explanation:
First you have to do the a2+b2 thing to get the adjacent number then you do cos^-1(6.98/8.2) and you’ll get 31.655
For the third one x will equal 44.41
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Step-by-step explanation:
Given
Volume of cylinder =36π
Radius of cylinder=3cm
Volume of cylinder=πr^2h
πr^2h=36π
r^2h=36. ( π cancel from both side)
3×3×h=36
h=36/9
h=4cm
Answer:
h=4cm
Step-by-step explanation:
Clea estimates that a glass contains 250.55 mL of water. the actual amount of water in the glass is 279.48 mL. To the nearest tenth of a percent what is the percent error in Clea's estimate?
Which equation shows inverse variation?
Please help me understand this math problem! :D
Answer:
48 cm^2
Step-by-step explanation:
First find the area of each shape.
2 triangles- [bxh]x1/2
(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12
Square- (l x w)
3 times 3 (You get the other three from the other side of the rectangle) =9
Left rectangle- (l x w)
3 times 4 = 12
Right rectangle- (l x w)
5 times 3 (You get the three from the side of the square) = 15
Total: 2 triangles Area + Square Area + Left rectangle Area+ Right rectangle Area = Surface Area
12 + 9 + 12 + 15 = 48 cm^2
Hope this helps!!
BRAINLIEST BRAINLIEST BRAINLIEST!!!!!!!!!!!
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
Part A: What is the approximate y-intercept of the line of best fit and what does it represent?
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope.
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
12) which of the following is factor of the polynomial x^4+x^3-x^2+x-1
x+1
x-1
Both options 1 and 2
None
please answer friends
Answer:
none
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Given
f(x) = [tex]x^{4}[/tex] + x³ - x² + x - 1
If (x + 1) is a factor then f(- 1) = 0
f(- 1) = [tex](-1)^{4}[/tex] + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0
Thus (x + 1) is not a factor
If (x - 1) is a factor then f(1) = 0
f(1) = [tex]1^{4}[/tex] + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0
Thus (x - 1) is not a factor
