The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
What is binomial distribution?A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.
Given, Ankit makes 74% of the free throws.
Using binomial distribution we have:
[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]
For k = 3 we have:
[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]
P(X=3) ≈ 0.405
Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
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(7x+5)/(6) write the fraction as a sum or difference
Answer: Factor the numerator and denominator and cancel the common factors.
7x/6+5/6
Step-by-step explanation:
Which statements about geometric sequences are true?
There is more than one correct answer. Select all that apply.
Geometric sequences have a common ratio between terms.
Geometric sequences are restricted to the domain of natural numbers.
Geometric sequences can have a first term of 0.
Geometric sequences have a common difference between terms.
Geometric sequences only increase, never decrease.
Answer:
Step-by-step explanation:
Geometric sequences have a common ratio between terms. TRUE
Geometric sequences are restricted to the domain of natural numbers. FALSE
Geometric sequences can have a first term of 0. FALSE. If this were true, then every member the sequence would also be 0.
The correct statements are,
Geometric sequences have a common ratio between terms.
Geometric sequences :A geometric series is one which has a constant ratio between successive terms.
A geometric series is the sum of the terms of a geometric sequence.Geometric sequences may be increase or decrease.Geometric sequences can not have a first term of 0, if the first term is zero, it will not result in a Geometric Progression.Learn more about the Geometric sequences here:
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324 is the same as the sum of 144 and v
Answer:
v = 180
Step-by-step explanation:
324 = 144 + v
v = 324 - 144
v = 180
Answer:
v = 180
Step-by-step explanation:
The equation is basically 324 = 144 + v
Then you just solve the equation:
324 = 144 + v
-144 = -144
180 = v
Hope this is what you were looking for.
Solve the equation for y. Then find the value of y for each value of x.
y + 6x = 11; x= -2,0,4
Solve the equation for y.
Answer: for x=-2
y+6(-2)=11
y+(-12)=11
y=11+12
y=23
for x=0
y+(6*0)=11
y=11
for x=4
y+6(4)=11
y+24=11
y=11-24
y= -13
Step)-by-step explanation:
you just remplace x with his value and solve y
Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?
Answer:
152
Step-by-step explanation:
Multiply 19 and 8
Given 2^m + 2^m = 2^n, express m in terms of n.
Answer:
m = n-1
Step-by-step explanation:
2^m + 2^m = 2^n
Add on the left
2( 2^m) = 2 ^ n
2^1 ( 2^m) = 2^n
We know that a^b* a^c = a^ (b+c)
2^(1+m) = 2^n
The bases are the same so the exponents are the same
1+m = n
Solving for m
1+m-1 = n-1
m = n-1
Given :
2^m + 2^m = 2ⁿ
→ 2(2^m) = 2ⁿ
→ 2¹ × 2^m = 2ⁿ
→ 2^(1 + m) = 2ⁿ
As bases are equal, exponents are equal too.
→ 1 + m = n
→ m = n - 1
→ m = n - 1 (Answer)Find the equation of a parabola with a focus at (-4, 7) and a directrix of y=1. ANSWERS ATTACHED, 15 points, due in 2 HOURS!
Answer:
Solution: y - 4 = 1 / 12(x + 4)² or Option B
Step-by-step explanation:
Since the directrix is vertical, use the equation of a parabola that opens up or down -
(x - h)² = 4p(y - k)
Remember that the vertex, (h, k) is halfway between the directrix and focus. Therefore we can find the y coordinate of the vertex using the formula y = y coordinate of focus + directrix / 2.The x -coordinate will be the same as the x coordinate of the focus.
Vertex: (- 4, 7 + 1 / 2) = (- 4,4)
Now we can find the distance from the focus to the vertex. The distance from the vertex to the directrix is represented by | p |. We can subtract the y coordinate of the vertex from the y -coordinate of the focus to find p.
p = 7 - 4 = 3
Substitute the known values for these variables into the given equation (x - h)² = 4p(y - k) to get our solution.
(x + 4)² = 4(3)(y - 4),
(x + 4)² = 12(y - 4)
1 / 12(x + 4)² = y - 4
y - 4 = 1 / 12(x + 4)² ~ As you can see your solution is option b.
hello, if you’re feeling generous today please lend a hand!! thank you
Answer:
[tex]x \leqslant 2[/tex]
Step-by-step explanation:
The point is shaded which means its is equal to and since the arrow goes to the left it is less than. Therefore x is less than or equal to 2
What is 8c + 10b ÷ 7a if c = 10, b = 17, and a = 2. Please give a full and good explanation for a brainliest...
Answer:
The answer is 92.14
Step-by-step explanation:
Plugin the variables: 8c + 10b ÷ 7a=> 8(10)+10(17)/7(2)Multiply the variables: 8(10)+10(17)/7(2)=> 80+170/14Divide due to order of operations: 80+170/14=> 80+12.14Add: 80+12.14=>92.14Final answer: 92.1484 divide by 7 show all work
Answer:
12
Step-by-step explanation:
84÷7=12
you can check by multiplying 12x7=84
12
×7
84.
Answer:all you do is divide 84 by 7 which is the answer you should get is 12
please help me........
Answer: see proof below
Step-by-step explanation:
Use the Sum/Difference Identity: tan (A + B) = (tanA + tanB)/(*1 - tanA · tanB)
Scratchwork:
tan (50) = tan (40 + 10)
[tex]= \dfrac{\tan 40+\tan 10}{1-\tan 40\cdot \tan 10}[/tex]
tan 50 (1 - tan 40 · tan 10) = tan 40 + tan 10
tan 50 - tan 50 · tan 40 · tan 10 = tan 40 + tan 10
tan 50 = tan 40 + tan 10 + tan 50 · tan 40 · tan 10
Use the Reciprocal Identity: cot A = 1/ tan --> cot A · tan A = 1
Proof LHS → RHS
LHS: tan 50 - tan 40
Substitute tan 50: tan 40 + tan 10 + (tan 50 · tan 40) · tan 10 - tan 40
Simplify: tan 10 + (tan 50 · tan 40) · tan 10
Reciprocal Identity: tan 10 + tan 10
Simplify: 2 tan 10
LHS = RHS: 2 tan 10 = 2 tan 10 [tex]\checkmark[/tex]
20 POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
y + 7 < −7 OR y + 7 > 7
y + 7 > −7 AND y + 7 < 7
y + 7 < −7 AND y + 7 > 7
y + 7 > −7 OR y + 7 < 7
10. Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
$344.00
$34.40
$24.67
$68.80
Answer:
9) y>0 or y<−14 10) Each artwork sold for $34.4
Step-by-step explanation:
#9 is fairly easy, just plug in a calc and pull out ans.
#10 so he needs to make $300 + $44 in total to recover everything as he wants $300 more in profit. set up the equation:
$300 (Profit) + $44 (Initial) = 10 ( # of paintings) x (how much to be sold for
Round to the nearest tenth:
7.0760
Answer:
the answer is 7.1
Step-by-step explanation:
the tenth is the first number after the decimal point.
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the common difference is -2 .
Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
8a₈ = 12a₁₂d = -2,a₁ = ?=============
Solutionaₙ = a₁ + (n-1)d
a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 228a₈ = 12a₁₂
8(a₁ - 14) = 12(a₁ - 22)2(a₁ - 14) = 3(a₁ - 22)2a₁ - 28 = 3a₁ - 663a₁ - 2a₁ = -28 + 66a₁ = 383/5x = 1/2x+1/2
please tell me this asap
Answer:
x = 5
Step-by-step explanation:
3/5x = 1/2x + 1/2
collect like terms =
3/5x - 1/2x = 1/2
6x - 5x/10 =
x/10 = 1/2
2x = 10
x = 5
Solve for x
3 (x- 4) = 44 - 5x
A: 4
B: 5
C: 6
D: 7
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo de la oficina
El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,
a. Cuánto tiempo le tomará a ambas realizar el trabajo?
Answer:
3.6 horas
Step-by-step explanation:
Sea el número total de horas que ambos trabajaron = T
Deje que la cantidad total de letras por las que pasaron = 1
De la pregunta, se nos dice:
Lourdes necesitó 6 horas para revisar las cartas.
Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras
Rosabel tardó 9 horas en leer las letras.
Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras
Por lo tanto,
(1/6 × 1) T + (1/9 × 1) T = 1
(1/6 + 1/9) T = 1
(3 + 2/18) T = 1
(18/5) T = 1
5T / 18 = 1
Cruz multiplicar
5T = 18
T = 18/5
T = 3.6 horas
Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.
-14 = x - 12 PLS help ASAP and show checked solution
Answer:
The correct answer is x = -2.
Step-by-step explanation:
To solve this equation, we must remember that it is our end goal to get the variable x alone on one side of the equation.
To do this, our first step should be to add 12 to both sides of the equation to cancel the -12 on the right side. This is modeled below:
-14 + 12 = x - 12 + 12
If we add together the like terms to simplify, we get:
-2 =x
This is our answer. To check that our answer is correct, we can plug in the value we obtained for x back into the original equation.
-14 = x - 12
-14 = -2 - 12
-14 = -14
Since plugging in our value for x yielded a true statement, we can conclude that our answer is correct.
Hope this helps!
There are 11 coins in total. Aditi!S piggy bank has $1.85. The coins are either quarters or dimes.How many of each coin are there. Solve with elimination.
Hey there! I'm happy to help!
Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.
Here is our system of equations.
0.25q+0.1d=1.85
q+d=11
We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.
-2.5q-d=-18.5
q+d=11
We combine the equations.
-1.5q=-7.5
We divide both sides by -1.5
q=5
Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.
Have a wonderful day!
How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?
Complete question is;
How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?
Answer:
There are 4500000000 ten digit numbers whose sum is divisible by 2.
Step-by-step explanation:
Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.
While the last 10 digit number whose sum is divisible by 2 is 9999999999.
Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;
((9999999999 - 1000000001)/2) + 1 = 4500000000
which two numbers does sqrt 128 lie between
A family is comparing different car seats. One car seat is designed for a child up to and including 26 lb. Another car seat is designed for a child between 18 lb and 40 lb. A third car seat is designed for a child between 25 lb and 75 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a 33-lb child? The inequality for a child up to and including 26 lb is ________.
Answer:
the 25 -75 because the baby is closer to 25 but still has plenty of room
The car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75. The inequality for a child up to and including 26 lb will be written as Child ≤ 26.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that a family is comparing different car seats. One car seat is designed for a child up to and including 26 lb. Another car seat is designed for a child between 18 lb and 40 lb. A third car seat is designed for a child between 25 lb and 75 lb.
A car seat appropriate for a 33-lb child will come under the seat which is designed for a child between 25 lb to 75 lb.
The inequality for a child up to and including 26 lb will come under a car seat is designed for a child up to and including 26 lb. The inequality can be written as Child ≤ 26.
Therefore, the car seat appropriate for a child 33-lb will be shown by the inequality 25 < Child seat < 75.
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Evaluate 4
M-n if m= -7 and n = 2.
Answer:
-30
Step-by-step explanation:
I'm assuming the equation is [tex]4m-n[/tex]. If it is not please tell me.
If we know the values of m and n, we can just substitute inside the expression.
[tex]4(-7) - 2\\\\-28 - 2\\\\-30[/tex]
Hope this helped!
where to put √3 and √9 on a number line?
[tex]\sqrt{3}\approx1.3[/tex]
[tex]\sqrt{9}=3[/tex].
Put first on about 1 and a third and second on exactly 3.
Hope this helps.
Write the following exponents in expanded form a) 5² b) 6⁸ c) 9⁵
Answer:
a- 5 x 5
b- 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
c- 9 x 9 x 9 x 9 x 9
Step-by-step explanation:
the index represents how many times the number is to be multiplied.
5² = 5 x 5 = 25
6⁸ = 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 = 1679616
9⁵ = 9 x 9 x 9 x 9 x 9 = 59049
（＾▽＾）
The number 650,000 written in scientific notation would be _____. 6.5 × 10 -5 6.5 × 10 5 65 × 10 4 0.65 × 10 -6
Answer:
6.5 * 10 ^5
Step-by-step explanation:
650,000
Scientific notation is of the form
a * 10 ^b where a is between 1 and less than 10
Move the decimal 5 places to the left
6.50000
5 becomes the exponent b, since we moved it to the left, the exponent is positive
6.5 * 10 ^5
Answer:
the answer is:6.5times 10to the power of 5
What is the slope of the line that passes through (4, 5) and (8, -1)?
Answer:
m = -3/2
Step-by-step explanation:
The slope of a line is equivalent to the formula:
m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Given the two coordinate pairs, we can label them accordingly.
In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.
Therefore, with this information, we can label the coordinate pairs with this info.
[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.
Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.
[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]
Distribute: -3(x+2)
-3x + 2
-3x + 6
-3x - 6
X-1
Answer:
it would be -3x-6
Step-by-step explanation:
if you distribute right you will change the two and the positive change into a negative and the last one x is not by itself plus it only change to one
Maureen took a train from Chesterton to Riverside by way of Watertown and Salem. The train went 8 kilometers from Chesterton to Watertown. It was 2 kilometers from Watertown to Salem and 3 kilometers from Salem to Riverside. How many kilometers was Maureen's train ride?
Answer:
hi......
.
........
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6|2x+3|=36 need a mini step by step
Answer:
x=1.5
Step-by-step explanation:
We are trying to get x by itself to see what it equals.
6(2x+3)=36
So first you want to distribute you proprieties. You do that by multiplying 6 and 2x. Then multiplying 6 and 3.
12x+18=36
Now in equations where you need to find the variable, whatever you do on one side of the equal sign, you have to do on the other side. So now we want to subtract 18 from both sides.
12x+18=36
-18 -18
Then we divide 12 from both sides.
12x=18
÷12 ÷12
Now you have your answer!
x=1.5