Answer:
P(X ≥ 3) = 0.94538
Step-by-step explanation:
When flipping a coin, probability of getting a tail is p= 0.5.
Number of times flipped; n = 10
Now, this is a binomial probability distribution problem with the formula;
P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)
Probability of getting at least 3 tails is;
P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)
P(3) = 0.1172
P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)
P(4) = 0.2051
From online binomial probability calculator, we have the remaining as;
P(5) = 0.2461
P(6) = 0.2051
P(7) = 0.1172
P(8) = 0.0439
P(9) = 0.0098
P(10) = 0.00098
Thus;
P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098
P(X ≥ 3) = 0.94538
The 8th term of an AP is 18 and 12 term is 26 find the 20th term
Answer:
the correct answer is 38th terms is triple its 18th term
Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))
The answer is 65
I hope it will help
The required simplified solutions of the function f(g(3) ) = 65.
Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65
Thus, the required simplified solutions of the function f(g(3) ) = 65.
Learn more about simplification here:
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PLEASEEE HRLPPPPPHELPPP PLEASEE :(((
Answer:
it's either the 1st choice or 4th
Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1
Answer:
B
Step-by-step explanation:
4|x - 3| > 8=x< 1 and x2 5
i think
The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
Larger is -30
Smaller is -20
Step-by-step explanation:
-50/2 = -25
difference is -10
add 5 to one number minus 5 from the other
so
-25 - 5 = -30
-25 + 5 = -20
Hope this helps :)
Answer:
be careful how you answer this
the larger number (y) = - 20
the smaller number (x) = - 30
Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.
Step-by-step explanation:
x + y = -50
x - y = -10 Add
2x = - 60 Divide both sides by 2
2x/2 = -60/2 Do the division
x = - 30
=============
-30 - y = - 10 Substitute - 30 for x in the second equation
-30+30- y = -10 + 30 Add 30 to both sides
-y = +20 Divide by -1 on both sides
y = - 20
The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?
Answer:
29
Step-by-step explanation:
9+5=14+5=19+5=24+5=29
y=3x + 4
What is the slope?
Answer:
3
Step-by-step explanation:
In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.
So the slope is the 3 in front of the x value.
Find the y-intercept of the folowing equation. Simplify your answer
19x + 8y=7
Answer:
y-intercept occurs when x = 0
19x + 8y=7
19*0 + 8y = 7
y -intercept = (0, 7/8)
Step-by-step explanation:
what is 882992+2899992237×2222÷29727
Answer:
217648314.791
Step-by-step explanation:
Answer:
217648314.791
Step-by-step explanation:
Multiply first and then divide and then you add the numbers together.
find the sum of the series -10-5-0+......+75
If a function f is increasing on (a,b) and decreasing (b,c), then what can be said about the local extremism of f on (a,c)?
Answer:
The point (b, f(b)) is a local maximum.
×5=30
×5=300
×5=3,000
×5=30,000
×5=300,000
×5=3,000,000
×5=30,000,000
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From up to down :
[tex]6[/tex]
_________________________________
[tex]60[/tex]
_________________________________
[tex]600[/tex]
_________________________________
[tex]6,000[/tex]
_________________________________
[tex]60,000[/tex]
_________________________________
[tex]600,000[/tex]
_________________________________
[tex]6,000,000[/tex]
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Answer:
1. 6
2. 60
3. 600
4. 6,000
5. 60,000
6. 600,000
7. 6,000,000
Step-by-step explanation:
PLEASE HELP!!!!
The state of Texas did a random sample of the weight of 15 year old boys. The 10 boys they sampled had a total weight of 1250 pounds. What is the best guess (point estimate ) for the average weight of 15 yearold boys in Texas?
1250/10=125
Hope this helps and have and AWESOME night!!! :)
The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?
Answer:
a = 2, b = 4, c = 8
Step-by-step explanation:
Let:
First (smallest) number = a
Second number = b
Third number(Largest) = c
The sum of three numbers is 14.
a + b + c = 14...... Equation 1
The largest number is 4 times the smallest number.
c = 4a.... Equation 2
The sum of the smallest and twice the largest is 18.
a + 2c = 18........ Equation 3
We substitute Equation 2 in Equation 3
to solve for a
a + 2(4a) = 18
a + 8a = 18
9a = 18
a = 18/9
a = 2
Hence, the smallest number = 2
We find c
c = 4a.... Equation 2
c = 4(2)
c = 8
The largest number is 8
We find b
a + b + c = 14...... Equation 1
2 + b + 8 = 14
b + 10 = 14
b = 14 - 10
b = 4
What are all three numbers?
a = 2, b = 4, c = 8
Two points on the graph of the linear function f are (0,3) and (3,9). Write a function g whose graph is a reflection in the x-axis of the graph of f
Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?
Answer:
12:05 PM
Step-by-step explanation:
Priya started at 9:00 AM.
Speed of Priya = 6 km/hr
Joe started at 9:30 AM.
Time at which Joe overtakes Priya = 10:20 AM
Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]
Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]
Distance traveled by Priya and Joe is same.
Formula for distance is:
[tex]Distance =Speed\times Time[/tex]
Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km
Let speed of Joe = [tex]S[/tex] km/h
Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]
[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]
Total distance to be covered = 16.8 km
Total time to be taken by Joe =
[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]
1.75 hours mean 1 hour and 45 minutes.
Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM
Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.
Answer:
u ≤ -27/2
Step-by-step explanation:
hope this helps
Sine and Cosine of any angle will always give a number less than 1. Why? (*HINT* Think about fractions and how Sine is oppositehypotenuse and Cosine is adjacenthypotenus )
Answer:
Hope this helped!
Step-by-step explanation:
The most easiest way to understand this is by considering a simple right angled triangle:-
For any right angled triangle
sin(theta)=perpendicular/hypotenuse
cos(theta)=base/hypotenuse
Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.
What is 8x to the power of 3, divided by 2x to the power of 9?
Answer:
first we have divide
8x/2x their power going to sub 3-9
4xpower-6
we have to keep than 1/4power sign going to plus
1/4 power 6
What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.
Answer:
y = 2x + 2
Step-by-step explanation:
Answer: y=2x+2
Step-by-step explanation:
please some help me with this.
Grant walks 2 miles everyday. Which could not be the number of miles that Grant has walked after some number of days? Circle the letter of the correct answer.
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PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
What is 9x for x = 4
Answer:
36
Step-by-step explanation:
9x is equal to 9 multiplied by x.
x=4 so it is 9 x 4
9 x 4=36
Let f be the function defined as follows.(a) Find the differential of f.dy =(b) Use your result from part (a) to find the approximate change in y if x changes from 2 to 1.97. (Round your answer to two decimal places.)dy =(c) Find the actual change in y if x changes from 2 to 1.97 and compare your result with that obtained in part (b). (Round your answer to two decimal places.)Δy=
An item that originally cost $12 is discounted 30%. What is the price of the item after the discount? Please give explanation or show work
Thank you
Please try to answer quickly thanks!
Reward is 16 Brainly points ;)
Answer: $8.4
Step-by-step explanation:
To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.
Brett can swim 5 laps in 16 minutes. How many laps can he swim in 48 minutes?
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
180
Step-by-step explanation:
just add 174 to 3 +3 then ya will find ya andwer
please please help it’s due today
Is the network in d) an Euler circuit? Can this network can be traversed?
...
А
B
А
B
b)
G
X
F
H
H
E
D
D
А
E B
А
B
d)
G
E
F
DF
C
D
C
Answer:
If a graph is an Euler Circuit that mean that it can be traversed and begins and has all even verticies. This allows you to start and stop at the same verticie.
Step-by-step explanation: