Answer:
1.68
Step-by-step explanation:
14.88/8=1.68
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%
Triangle A′B′C′ is the image of ΔABC under a dilation such that A′B′ = 3AB. Triangles ABC and A′B′C′ are
A.congruent but not similar
B.similar but not congruent
C.both congruent and similar
D.neither congruent nor similar
PLS HELP
the correct answer is c if that is what you were looking for
Triangles ABC and A′B′C′ are similar but not congruent.
Hence, Option B is true.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle A′B′C′ is the image of ΔABC under a dilation such that,
⇒ A′B′ = 3AB.
Hence, The ratio of there corresponding sides are equal.
And, The length are not equal.
Thus, Triangles ABC and A′B′C′ are similar but not congruent.
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Is 9% of 998 pages less or larger HURRYYYYYYYY
Answer:
less that is it have good day
Does anyone know how to do this?
Answer:
the 8 means there will be 8 zeros after it so
62.00000000
yw
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 percent of 35 is 14
Answer:
40
Step-by-step explanation:
I asked google so I think is is right
please help me with this math question I don't get a lot of time
What is 17x13 divide by four
Answer:
55.25
Step-by-step explanation:
17*13=221
221/4=55.25
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.
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.
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:
i could use some help on this. thanks
Answer: is B
Step-by-step explanation:
Answer:
1 to 1?
Step-by-step explanation:
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
Whats 2 & 1/2 divided by 3 & 1/3
A = 3/5
B = 3/4
C = 4/10
D= 15/12
help pls 25 points
Answer:
B = 3/4
Step-by-step explanation:
2 1/2 / 3 1/3
can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10
5/2 x 3/10 cross multiply
15/20 = 3/4
Answer:
It would be B. 3/4
Step-by-step explanation:
You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"
When multiplied, you will get "15/20" which simplifies to "3/4"
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:
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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please help!! what should i use to get the area of the triangle?
Answer: Area =1/2 *B*H
Step-by-step explanation:
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
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
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 figure is missing in the pattern?
Answer:
B
Step-by-step explanation:
The pattern is square numbers so
1, 4, 9, 16, 25
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:
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.
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?
(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 :)
Factor the expression completely, -12.75 + 4.25x
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
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 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
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