Answer:
A.
Step-by-step explanation:
Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.
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 quarterback throws a ball in the air from an initial height of 5 feet. The football has an initial vertical velocity of 50 feet per second. Another player catches the ball when it is 2 feet above the ground. How long is the ball in the air?
Answer:
The range of the function is from 2 feet to 12.25 feet
Step-by-step explanation:
In a function f(x) = y
x is the domain of the function
y is the range of the function
The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6
∵ h(t) = - 16 t² + 20 t + 6
∴ The domain is t
∴ The range is h(t)
- To find the range of the quadratic function find the maximum or
minimum value of it
∵ The leading coefficient of the function is -16
∴ The function has a maximum value
To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height
∵ h'(t) = -16(2) t + 20(1)
∴ h'(t) = -32 t + 20
- Equate it by 0
∵ h'(t) = 0
∴ -32 t + 20 = 0
- Subtract 20 from both sides
∴ -32 t = - 20
- Divide both sides by -32
∴ t = 0.625 seconds ⇒ time for the maximum height
Substitute the value of t in h(t) to find the maximum height
∵ h(0.625) = -16(0.625)² + 20(0.625) + 6
∴ h(t) = 12.25 feet
∴ The maximum height of the ball is 12.25 feet
∵ The ball is caught at 2 feet
∴ The range of the function is 2 ≤ h(t) ≤ 12.25
The range of the function is from 2 feet to 12.25 feet
What is 17x13 divide by four
Answer:
55.25
Step-by-step explanation:
17*13=221
221/4=55.25
Speedeez Go Carts charges $10 plus $2.50 per lap. Which best describes the relationship between total cost and the number
of laps?
Answer:
10+2.50*L
Step-by-step explanation:
It first says they charge $10 PLUS $2.50 per lap.
If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.
Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?
Answer:
$58.33
Step-by-step explanation:
Set up a proportion where x is the amount she makes for 7 hours:
[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]
Cross multiply and solve for x:
3x = 175
x = 58.33
So, after working for 7 hours, she will make $58.33
Answer:
About 60-65$
Step-by-step explanation:
Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3
Using the order of operations, what should be done first to evaluate (-4) +6-(-3-4) (2) - 5?
VX
© Subtract 5 from 2.
Divide 6 by-3.
0 Add-3 and 4
O Multiply 4 and 2
Answer:
The answer is Add -3 and 4 should be done first
For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602
Answer:
A. 160 Out of 40 is 400%./// B. The answer is 25/// C. The answer is 3905%
Step-by-step explanation:
( A ) One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 160 is 40% of = 160 X 100 = 400
40
( B ) The same thing as A but the numbers are switched
One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 40 is 160% of = 40 × 100 = 25
160
( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:
1602 - 40 = 1562
Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:
1562 = 39.05
40
We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?
39.05 x 100 = 3905%
160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Problem A,
40% of 160 = 160 x 40 / 100
= 64
Problem B,
160% of 40 = 160 x 40 / 100
= 64
Problem C,
40% of 1602 = 1602 x 40 / 100
= 640.8
Therefore, 160 is percentage of 40, 40 is 160% , number is 40% of 1602 are 64 , 64 and 640.8 respectively.
To learn more about the percentage;
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PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?
A. x + 50 = 130
B. x - 50 = 130
C. x - 130 = 50
D. x = 50 + 130
Answer:
X + 50 = 130
Step-by-step explanation:
This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.
To solve, subtract 50 from each side,
X + 50 - 50 = 130 - 50, and simplify,
X = 120.
Jordan will need $120 more to go to the Camp Rodeo Field Trip.
Hope this helps.
what is the range of the graph below
Answer:
D
Step-by-step explanation:
The range is the lowest and highest section of a line that is represented with coordinate. The range itself is purely vertical, and so to start we are looking for the lowest point first. We can see that the lowest point is -3. This is shown by the point that is 3 units down vertically. So as of now we can write the equation for the range:
[tex] \: 3\leqslant y \leqslant [/tex]
This means that 3 is less than or equal to y. This is always consistent. The last part we are looking for is the highest point, which is 2.
Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
what percent of 35 is 14
Answer:
40
Step-by-step explanation:
I asked google so I think is is right
please help!! what should i use to get the area of the triangle?
Answer: Area =1/2 *B*H
Step-by-step explanation:
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answer: 53.33
Step-by-step explanation:
(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?
Answer:
x=-3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
2(x - 3) = 4x
2x - 6 = 4x
2x - 4x = 6
-2x = 6
x = -3
I hope this helps you :)
WILL REWARD Doug takes 3 pages of notes during each hour of class. Write an equation that shows the
relationship between the time in class x and the number of pages y.
Write your answer as an equation with y first, followed by an equals sign.
Answer:
y=3x
Step-by-step explanation:
the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed
Answer:
Step-by-step explanation:
229,613 cm ^3 took test.
A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank
Answer:
it would be 0.64
Step-by-step explanation:
Which figure is missing in the pattern?
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
pleaseeee help! was due 2 weeks ago!
Answer:
7. y = 2x + 7
8. y = -3x - 4
9. y = -5x - 34
10. y = 2/5x + 6/5
11. y = 1/4x + 4.5
12. y = -2x
Step-by-step explanation:
to find the slope-intercept formula of these charts: (i'm guessing that that's what your teacher wants? you forgot to include their directions in the images)
you need to use y = mx + b
to find m, you take two coordinates and then do (y2 - y1)/(x2 - x1)
to find b, figure out what y is when x = 0.
you can either do this by looking at the chart and finding 0 on the x side, or if that isn't there, take a different point and insert the y and x values into what you have so far. if you enter the points correctly and have an m, the only letter you should have left is b. so all you'd need to do from there is solve the equation for b!
hope this helped!!
someone help me please, this topic is based on slopes.
Answer:
run / rise =5/1
Step-by-step explanation:
The run is 5 and the rise is 1
i could use some help on this. thanks
Answer: is B
Step-by-step explanation:
Answer:
1 to 1?
Step-by-step explanation:
Find the value of x.
x= 2.
x= 3
x= 33
x= 52
Answer: x=2
57+x=25x
subtract x from both sides
57+x-x=25x-x
57=24x
divide by 24 on both sides
57÷24=24x÷24
x=2.375
I hope this is good enough:
The sum of the interior angle of a triangle is equal to the exterior. . The value of x from the given figure is 3
Angles in a triangleThe sum of the interior angle of a triangle is equal to the exterior. According to the given figure;
25x + 57 +x = 45x
26x + 57 = 45x
Subtract 57 from both sides
26x -45x = -57
-19x = 57
x = 57/19
x = 3
Hence the value of x from the given figure is 3
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Stefan sells Jin a bicycle for $149 and a helmet for $16. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
55
Step-by-step explanation:
149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55
Answer:
55
Step-by-step explanation:
i used a calculator cause IK the equation but I couldn't get the right answer
Factor the expression completely, -12.75 + 4.25x
Describe the nature of the roots for the equation
49x2– 28x +4 = 0
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
Shelley has a collection of dimes, nickels and quarters that is worth $5.25. There are a total of 48 coins. If there are 7 more nickels than quarters, how many dimes are there?
Answer:
25 dimes
Step-by-step explanation:
Given
Coins: Nickels (N), Quarters (Q) , and Dimes (D)
$0.05 = 1 nickel, $0.10 = 1 dime and $0.25 = 1 quarter
So, the amount implies:
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
The number of coin implies:
[tex]N + D + Q = 48[/tex]
and
[tex]N = 7 + Q[/tex]
Required
Determine the number of Dimes
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]N + D + Q = 48[/tex]
[tex]N = 7 + Q[/tex]
Substitute 7 + Q for N in the first and second equation
[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]
[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]
Collect Like Terms
[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]
[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)
[tex]N + D + Q = 48[/tex]
[tex]7 + Q + D + Q = 48[/tex]
Collect Like Terms
[tex]D + Q + Q= 48 - 7[/tex]
[tex]D + 2Q= 41[/tex]
Make Q the subject
[tex]2Q = 41 - D[/tex]
[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]
[tex]Q = 20.5 - 0.50D[/tex]
Substitute 20.5 - 0.50D for Q in (1)
[tex]0.10D + 0.30Q = 4.90[/tex]
[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]
[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]
[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]
[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]
[tex]-0.05D = -1.25[/tex]
Solve for D
[tex]D = \frac{-1.25}{-0.05}[/tex]
[tex]D = 25[/tex]
Hence, there are 25 Dimes
Which could be the first step in solving the equation represented by the model below?
A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answer: A. Add 4 negative unit tiles to both sides.
Step-by-step explanation: Hope this helps
Which statement about rigid transformations is true?
A.
A rigid transformation preserves only the side lengths of a polygon.
B.
A rigid transformation preserves only the angle measures of a polygon.
C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.
D.
A rigid transformation preserves neither the side l
Answer:
The answer is B because it is only the measure of the polygon
Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?
please help me with this math question I don't get a lot of time