Using the binomial distribution, it is found that there is a [tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
For each ball, there are only two possible outcomes, either it is hit or it is not. The probability of hitting a ball is independent of any other ball, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
4 balls are thrown, hence [tex]n = 4[/tex]0.5 probability of hitting each of them, hence [tex]p = \frac{1}{2}[/tex]You win the big prize if you hit 4 balls, hence, the probability is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.\left(\frac{1}{2}\right)^{4}.\left(\frac{1}{2}\right)^{0} = \frac{1}{16}[/tex]
[tex]\mathbf{\frac{1}{16}}[/tex] probability you will win the big prize.
A similar problem is given at https://brainly.com/question/24863377
Answer:
1/16
Step-by-step explanation:
yurr
will give brainliest!
Answer 4/5 now give brainliest
On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.
The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
[tex]A=\frac{1}{2} bh[/tex]
b is the base of the triangleh is the height of the triangleGiven the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]
Substituting the coordinate points:
[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]
Recall that:
[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]
Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: https://brainly.com/question/17335144
Pls help I'm falling behind
Rewrite the linear equation 2x = 13y – 9 in slope-intercept form
Answer:
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
Step-by-step explanation:
we need to write it in the form y = mx + c where m is the slope(gradient) and y is the y intercept
1) add 9 to both sides
2x = 13y - 9
2x + 9 = 13y
2)divide 13 on both sides
2x + 9 = 13y
2/13x + 9/13 = y
final equation is
[tex]y \: = \: \frac{2}{13} x \: + \: \frac{9}{13} [/tex]
"a deposit plus $8 per hour"
Answer:
d + 8/hr
Step-by-step explanation:
Hurry answer plsss I'll give brainlest
Answer:
2.32x10^-11
here ya go luv <3
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Learn more on law of logarithms here: https://brainly.com/question/11587706
Answer: C
Step-by-step explanation:
If you don't want to read it all
What is the smallest two-digit integer $n$ such that switching its digits and then adding 3 results in $2n$
We can write
n = 10a + b
where a and b belong to {1, 2, 3, …, 9}.
Swapping the digits produces a new number
n' = 10b + a
and adding 3 to this number makes up 2n,
n' + 3 = 2n
or
(10b + a) + 3 = 2 (10a + b)
so that
19a - 8b = 3
Since we want n to be the smallest possible 2-digit number that meets the criteria, let's start with a = 1. Then solving for b, we find
19 - 8b = 3
16 = 8b
b = 2
So, the number we're looking for is n = 12.
Just to confirm, swapping the digits gives 21, and 21 + 3 = 24 = 2•12.
3 hours = minutes
2 hours 25 minutes. =. minutes
Answer:
180, 145
Step-by-step explanation:
There are 60 minutes in an hour, so we do 3*60=180 for the first one.
For the second one, we first find the minutes in 2 hours, which is 2*60=120. We add 120+25 and get 45.
brainlyest, plus 5 points
PLEASE STEP BY STEP
Evaluate x/2+5y-1.5 when x = 10 and y = 8
Answer:
43.5
Step-by-step explanation:
x/2+5y-1.5
10/2+5×8-1.5
5+40-1.5
5+38.5
=43.5
Answer:
43.5
Step-by-step explanation:
x ÷ 2 + 5y - 1.5
Start by replacing the x's and y's
10 ÷ 2 + (5 · 8) - 1.5
Start with parenthesis
10 ÷ 2 + 40 - 1.5
Then do the division
5 + 40 - 1.5
Then go left to right
45 - 1.5
43.5
I hope this helps!!!
The supplement of the complement of an angle is 132 degrees. What is the supplement of that angle
Based on the information given, it should be noted that the supplement will be 48°.
It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.
In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:
= 180° - 132°
= 48°
The second angle is 48°.
Learn more about angles on:
https://brainly.com/question/23991796
Hi, let me help you out!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
In this problem, we're trying to find the supplement of [tex]\tt{132\textdegree}[/tex].
Supplementary angles add up to [tex]\tt{180\textdegree}[/tex].
So, let's find its supplement:
[tex]\tt{\angle x+132=180}[/tex], where x is the unknown angle.
Subtract 132 from both sides of the equal sign:
[tex]\boxed{\tt{\angle x=48\textdegree}}[/tex] [tex]\longleftarrow\tt{We\:conclude\:that\:this\:is\:the\:answer.}[/tex]
I hope it helps you! Have an awesome day!
If you need any explanation or clarification, feel free to comment and ask me, and I'll respond asap and do my best to help you out! :D
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Which set of ordered pairs represents a constant rate of change?
A) (0,1) (1,2) (2,4) (3,6)
B) (0, 1) (1.2) (2,2) (3,2)
C) (0, 2) (1,4) (2,6) (3, 8)
D) (0, 2) (1,2) (2, 4) (3,8)
Answer:
Not a because it is only consistant with x not y because it goes 1 2 4 then 6
not b because only consistant with x not y because it goes 1 2 2 2
It is c because it goes 2 4 6 and 8 which is a consistent rate of two.
Step-by-step explanation:
what is 400X600+1200=
Answer: 241,200
just multiply and add hope this helps
Answer:
24,1200
Step-by-step explanation:
400x600=24,000
Then let's add 24,000+1,200 which is 24,1200.
I’ll give 100 points
Answer:
2055 is the answer.
Step-by-step explanation:
If x represents the number of minutes and y represents the hiker elevation in feet.
y = 8.19x + 663
y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3
Hope it helps:)
Answer:
:)
Step-by-step explanation:
Please help me with this
Step-by-step explanation:
the only reason you would need help with this is, if you don't understand what exponents are and how they work.
because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.
so, let me explain this important element :
when you have something like 5³, then this 3 is the exponent, and the 5 is the base.
when we talk about such a thing we typically say "5 to the power of 3".
now what did it mean ?
well, it is a multiplication. a multiplication of the base by itself (like when we square a number).
and the exponent tells is how often the base is multiplied by itself.
so, back to my example :
5³ = 5×5×5
3² = 3×3
13⁴ = 13×13×13×13
once you understand that, you can solve the question yourself in seconds.
e.g. the first is looking for the equivalent of 7⁴.
we need to find the answer option that dissolves this like the examples above to 7×7×7×7.
and we find B to be the right answer.
for 3⁶ = 3×3×3×3×3×3
and E is right. and so on.
8a+3.28=46.28
solve for a please ik I already asked but I need to pass this test thank you :)
Answer:
A=5.375
Step-by-step explanation:
46.28-3.28= 43
43÷8= 5.375
I hope this helps
MY HEAD IS HURTING I BEG FOR YOUR HELP. I WILL MARK BRAINLIST!!
Answer: No association
Step-by-step explanation:
There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.
A tree cast a shadow 21 meters long
The angle of elevation for the sun is 51 degrees
What is the height of the tree?
Step-by-step explanation:
I do not understand .____.
take a factor out of the square root: 4√450
Answer:
60√2
Step-by-step explanation:
Factor the value 450
450 = 9 x 50 = 9 x 5 x 2
4√450 = [tex]4\sqrt{9*25*2[/tex]
= [tex]4*3*5\sqrt2[/tex]
= [tex]60\sqrt2[/tex]
[tex]60\sqrt2[/tex]
-Chetan K
Following are the calculation to the square root:
Given:
[tex]\bold{4 \sqrt{450}}[/tex]
To find:
square root=?
Solution:
Calculating the factor of 450:
[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]
[tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]
Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".
Learn more:
brainly.com/question/19795061
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
Find the product -1.2(0.04)
Answer:
-0.048
Step-by-step explanation:
-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048
Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?
Answer:
22-1n-3
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount donated to the animal shelter is $258
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage to donate to the shelter = 75%
The expression that shows the amount from the first and second craft shows.
24n + 32 _____(1)
40n + 56 ______(2)
Where n is the amount of each bracelet.
Now,
Cost of each bracelet = $4.
From (1) and (2) we get,
24 x 4 + 32 = 96 + 32 = 128
40 x 4 + 56 = 160 + 56 = 216
Now,
The total amount collected from both the craft shows.
= 128 + 216
= $344
The amount donated to the animal shelter.
= 75% of $344
= 75/100 x 344
= $258
Thus,
The amount donated to the animal shelter is $258
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Add.
(4+4n)+(7+2a)
Thanks!
Answer:
[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]
Step-by-step explanation:
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
what is this using Distributive property 6(n + 4)
Answer:
6n + 24
Step-by-step explanation:
Please solve this problem please ASAP !
Answer:
3/x+2 = 4/y
then y equals
3y = 4(x+2)
y = 4x + 8 / 3
HELP ME!! (only solve A)
Answer:
5.2
?
Step-by-step explanation:
[tex]\text{Given that,}\\\\(x_1,y_1) = (5,2)~~ \text{And} ~~ (x_2,y_2) =(1,0)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{0 - 2}{1 -5} = \dfrac{-2}{-4} = \dfrac 12[/tex]
What is the slope of the line?
A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.
Answer:
₹1680
Step-by-step explanation:
Road Length (m) Width (m) Area ([tex]m^{2}[/tex])
1 80 10 800
2 60 10 600
(800+600) = 1400 ([tex]m^{2}[/tex])
1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680
Type the expression that results from the following series of steps:
Start with 6 and subtract
z