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
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answer:
Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.
Step-by-step explanation:
What is f(-3) if f(x)= 1/3x
3
1
-1
-3
Answer:
-1
Step-by-step explanation:
1/3(-3) cancels the common factor of 3, which leaves the answer as -1.
Type: five-tenths=
Pls answer correctly fact practice math .
Answer: 5-tenths= 5/10
Step-by-step explanation:
Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?
Answer:
6.4 miles per hour
Step-by-step explanation:
Answer:
1.6m/h
Step-by-step explanation:
6.4/4=1.6m/h
aaaaaaaa
please someone can tell me what is
[tex]a {m \times a {n}^{?} }^{?} ]{?} [/tex]
in an index form?
theres question marks where the exponent is supposed to go
Write an equation in slope intercept form plz help
The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.
The equation is already in slope-intercept form.
[tex]y = - x + 4[/tex]
Answer:
Step-by-step explanation:
Q8:
y= -x+4 (given)
Slope of given the line=-1
For required slope which is passing through (6,5):
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y-5=-1(x-6) (m=-1 because lines are parallel)
y-5=-x+6
x+y-5-6=0
x+y-11=0
Q9:
y=-4x-7
slope of the given line:
m=-4
Slope of required line:
m=1/4
Using Point slope form:
[tex]y-y_{1} = m(x-x_{1} )[/tex]
y+1=1/4(x-8)
4y+4=x-8
x-4y-8-4=0
x-4y-12=0
A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?
Answer:
Step-by-step explanation:
The scale factor is the ratio between the man's actual height and the height of the drawing.
Scale = 64/4 = 16
Answer:
1/16
Step-by-step explanation:
the actual man is 16 times bigger than drawing.
According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?
A 4 lakhs
B 43 lakhs
C 4 crores
D 43 crores
According to the 1991 census, there are about 43406932 people in our country who speak Urdu. Which of the following is the closest approximation of this number?
A 4 lakhs
B 43 lakhs
C 4 crores
D 43 crores
→ C 4 crores
Explaination :
2 - Unit place
3-tens place
9- hundred place
6 - thousand place
0- ten thousand place
4 - lakh place
3 - ten lakh place
4 - crore place
hence , closest approximation of this number is 4 crores.
Approximation of number is 4 crores.
What is Approximation?Anything that is similar to something else but not exactly equal to it is an approximation. By rounding, a number can be approximated. By rounding the values contained within a calculation prior to performing the operations, it can be approximated.
Given census of a country is 43406932
Adjusting numbers to the closest 10, 100, 1,000
To rough to the closest ten, check out at the digit during the tens section.
Look at the digit in the hundreds column to approximate to the nearest hundred. Take a look at the digit in the thousands column to determine the nearest thousand.
so the number to the closest is crore
Hence the closest approximation of this number is 4 crores.
Learn more about approximation;
https://brainly.com/question/29669607
#SPJ2
h(t)=6 for 7 ≤ t ≤ 8
please i’m really struggling with this :((
Answer:
thn 6<7<8 is your answer
Need help l don’t understand
Step-by-step explanation:
open brackets and work out
Answer:
x = 12
Step-by-step explanation:
9(x - 11) = 9 ( divide both sides by 9 )
x - 11 = 1 ( add 11 to both sides )
x = 12
What is the volume of this figure?
A. 192 cm
B. 49 cm3
C. 343 cm3
D. None of the above
[tex]\qquad[/tex]____________________
It’s given–
Length of one side is = 7cm[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]
[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]
Hence, option C is the correct option!Help me Please no bots I need help
Answer:
y = 2/3x + 3/2
Step-by-step explanation:
18 inches is 3/2 feet. 8 inches is 2/3 feet.
The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.
y = 2/3x + 3/2
The bearing of point Y from point X is 065°.
The bearing of point Z from point Y is 145º.
The bearing of point Z from point X is 105º.
Find the bearing of point X from point Z.
Answer:
285°
Step-by-step explanation:
You have probably learned bearing in geography and maybe even mathematics.
First off, skip the Y part since the answer you're looking for have nothing to do with it.
So, 180°+105°=285°
Those red-colored angles.. they have the same angle.
That's cause they're alternate angles and alternate angle are equal.
That arrow-like thing is to proove that they're parallel.
This month is October.Which month will 2451 months later be.
Answer:
The month will be October again lol :)
Step-by-step explanation:
Your piggy bank has $85 and each day you take out $3. You want to have at least $22 left in your piggy
bank. How many days did you take money from your piggy bank?
what is the equation of a line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
in order to get the y-intercept (b) , the value of x has to be zero. we already have the y-intercept which is zero. so far, the equation looks like this:
y = mx + 0
in order to find the slope, we'll do y2-y1 / x2 - x1:
2-0
5-0
m is 2/5, so the answer is:
y = 2/5x
here's another one
Answer:
Supplementary Angles
x = 62
Step-by-step explanation:
Supplementary angles equal 180.
180 - 118 = 62
I hope this helps!
bri bought a sweater for $7 for a 20% discount what was the original price?
Answer:
$200
Step-by-step explanation:
20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200
What is the initial value of the equation shown?
y = −5x + 2
a
−5
b
−2
c
5
d
2
Answer:
Y = 2
Step-by-step explanation:
if you were looking for y's value
I need help and I can’t find any sadly. Help!!
Answer:
1. Given
2. Distributive Prop
3. Addition Prop
4. Division Prop
Step-by-step explanation:
need assistance with alegbra 2
Answer:
C.
Step-by-step explanation:
Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).
f(x)=(x-2)^2+1
Will give BRAINLIEST
Answer:
Quadrant 1 (1,5)
Step-by-step explanation:
The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.
Point T is in the upper right which is quadrant 1
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
HELP ASAP PLEASEEE What is the equation of the line in the form y=mx+b
Answer:
y=x
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
Since the y-intercept is at the 0 axis, the y-intercept will be zero
So now the equation is looks like this:
y=mx (Since y=mx+0 doesn't make a difference)
Now find the slope
Which is 1
Thus y=x
Hope this helps!
Solve -2.5n + 8.7 > 5.45.
Answer:
Solved for n: n < 1.3
Step-by-step explanation:
Are there answer choices included?
Which table represents a nonlinear function?
X
у
X
y
-70
-11 22
-4 2
-6
12
2
6
1
--2
5
8
9
-18
х у
х
у
- 4 0
-38
-2
-3
0
5
-4
50
6
5
-3
Answer:
bottom left choice
Step-by-step explanation:
use desmo lol. but u can just find the slope of each one and see if it is linear or not. here is the pic:
note: a1, a2, a3, a4 is the top left one, b1, b2, b3 is the top right, c1, c2, c3 is the bottom left.
hope it helps. maybe u have to visualize the graph by connecting the points
simplify 1 and 1/6
j
Answer:0/6
Step-by-step explanation:
0/6
Use the quadratic formula to write a quadratic equation that has the solutions x=-4 ± 2/6.
Step-by-step explanation:
general formula
x²-(a+b)x+(ab)
where a is alpha
and b is beta
x=-4+2/6 or x=-4-2/6
x=-1/3 or x=-1
a+b=-1/3 + -1 =-4/3
ab= -1/3 x -1 =1/3
quadratic equation
x²-(-4/3)x + 1/3=0
x² + 4/3x + 1/3=0
multiply through by 3
3x² +4x +1=0
Answer:
general formula
x²-(a+b)x+(ab)
where a is alpha
and b is beta
x=-4+2/6 or x=-4-2/6
x=-1/3 or x=-1
a+b=-1/3 + -1 =-4/3
ab= -1/3 x -1 =1/3
quadratic equation
x²-(-4/3)x + 1/3=0
x² + 4/3x + 1/3=0
multiply through by 3
3x² +4x +1=0
Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?
Answer:
2,160.00
Step-by-step explanation:
okay so first we have to find 4.5% of 12,000
which is 540, then multiply 540 by the four years and
540 x 4 = 2,160.00
The total loan amount would be equal to $14,310 in four years when Jay graduates.
Given the following data:
Principal = $12,000Interest rate = 4.5%Time = 4 yearsTo determine how much (future value) the total loan amount would equal in four years when he graduates:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + r)^{t}[/tex]
Where;
A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]
Future value, A = $14,310
Read more: https://brainly.com/question/16992474
53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit
Answer:
25
Step-by-step explanation:
