Answer:
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
Step-by-step explanation:
From the information given:
p = x/n
p = 7/10
p = 0.7
sample size n = 15
Suppose X be the number of accidents involved by a single-vehicle.
Then;
[tex]X \sim Binom (15,0.7)[/tex]
Thus, the required probability that at most 4 involve in a single-vehicle is
[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]
[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]
[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]
[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]
[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]
(0.5x - 0.6) + (0.75x - 0.1)
Answer:
1.25x-0.7
Step-by-step explanation:
0.5x−0.6+0.75x−0.1
=0.5x+−0.6+0.75x+−0.1 Combine Like Terms:
=0.5x+−0.6+0.75x+−0.1
=(0.5x+0.75x)+(−0.6+−0.1)
=1.25x+−0.7
Answer:
=1.25x−0.7
Suppose that a population parameter is 0.3 and many samples are taken from the population. If the size of each sample is 40, what is the standard error of the distribution of sample proportions?
A. 0.095
B. 0.055
C. 0.072
D. 0.032
Answer:
0.072
Step-by-step explanation:
A P E X
WORTH 100 POINTS!
Gerry and Tony live 11 miles apart. Gerry leaves his home at 2:00 PM and bikes toward Tony's house at 25 miles/hour. At the same time, Tony leaves his home and bikes toward Gerry's house at 30 miles/hour. They wave as they pass each other. As soon as each boy reaches the others' home, they turn back around towards their own homes. This time, they stop when they see each other. How far are they from Gerry's home when they stop?
Please write an equation or more than one equation using Distance=Rate*Time.
Answer:
7miles
equations shown in work image below
work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)
:) please give a heart for thanks
and brainliest crown :)
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Step-by-step explanation:
pick her as the brainliest
I have a 72 in math. And I’m trying to bring it up. So if you know ANY of these PLEASE answer. I really appreciate it!
Answer:
12
Step-by-step explanation:
For the distance on the number line it is 12 because -9 count that up to 0 and then add the rest.
27/9 = 18/ x
Please select the best answer from the choices provided.
A: x = 9
B: x = 8
C: x = 6
D: x = 3
Answer:
x= 6 answer is correct answer
Answer:
C. x=6
Step-by-step explanation:
Hope this helped have an amazing day!
Which graph represents the equation (x – 1)2 + (y + 1)2 = 9?
Answer:
D
Step-by-step explanation:
The given equation (x – 1)² + (y + 1)² = 9 represents a circle with the center (1, -1) and a radius of 3.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
Given an equation (x – 1)² + (y + 1)² = 9
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Comparing with the general equation of a circle:
h = 1,
k = -1
r² = 9
r = 3
thus, the given equation (x – 1)² + (y + 1)² = 9 represents a circle with the centre (1, -1) and the radius of 3.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ3
please give me answer I will give you brilliantly
Answer:
1) larger number
18 ; 14 ;17 ; 19
2.) smaller number
11, 16, 12, 15
Step-by-step explanation:
Given two numbers in each as follows :
A.) 18 ____ 12 ; 18 > 12
B.) 11 _____14 ; 14 > 11
C.) 15 ____ 17 ; 17 > 15
D.) 19 ____ 11 ; 19 > 11
Color the smaller number ::
20 ____ 11 ; 11 < 20
16 ____ 19 ; 16 < 19
12 ____ 13 ; 12 < 13
15 ____ 20 ; 15 < 20
help me pleaseeeeee
Answer:
the 4th one, 5 7/9
Step-by-step explanation:
Answer:
–5 7/9
Step-by-step explanation:
Follow my account ^^
Please help with all three
Answer:
1)1/3 x3=9
2)The didvsion equation is the smae because you would get the same answer.
3) it would be 9
Step-by-step explanation:
Which shows two possible values for a number represented by the point?
A number line going from 0 to 1. There are 4 equal spaces between 0 and 1. A point is half-way between 0 and 1.
StartFraction 2 Over 4 EndFraction and One-third
StartFraction 2 Over 4 EndFraction and One-half
2 and StartFraction 2 Over 4 EndFraction
2 and One-half pls help im timed
Answer:
B-2/4 and 1/2
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
PLZ Help! Best answer gets brainliest!!!
Answer:
Your answer is 506.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
506
Please give me brainiest and also add me please.
Answer:
506
Step-by-step explanation:
First, we have to solve 8 to the power of 3 according to PEMDAS, which will give us 512.
Since we have to follow PEMDAS or GEMDAS (whichever you know), we will have to multiply 9 by 2 next. That will give us the equation: 512 - 18 / 3
Then we have to divide 18 by 3 to give us 6 which will give us the equation: 512 - 6 which we can solve to get 506
(sorry if this is confusing but I hope it helped anyway)
Ahmad had a piece of rope that was 7.14 meters long.
He cut off 0.09 meter to practice making knots. What
was the length of the rope after the cut?
Help anyone I’ll appreciate it thank you
Answer:
150
Step-by-step explanation:
the total angle of a flat line is 180
since one side is 30 180-30 is 150
anyone up that can help me
Answer:
Step-by-step explanation:
reflection
The length of the base of an isosceles triangle is x. The length of a leg is 3x - 4. The perimeter of the triangle is 76. Find x.
X=
Answer:
12
Step-by-step explanation:
Hi!
We're given that the perimeter is 76. A triangle's perimeter is given by the sum of all of the sides. So, we'll find the lengths of the sides of the triangle and add them.
This is an isosceles triangle. The legs of an isosceles triangle are equal. In this problem, we're given the length of one leg: 3x-4. That means that the length of the other leg is also 3x-4. Now, the last side of the triangle is x ("base is x).
2(3x-4) + x = 76
6x-8+x=76
7x-8=76
7x=84
x=12
Let's check our answer.
3(12) - 4 =36-4 = 32
32 times 2 = 64 +12 =76
Correct!
What is x if
f(x) = -2?
Answer:
Fx = -2 because if we multiply with the f and the x we will get Fx = - 2
which ordered pair is the solution set of -6x+2y>6
Answer:
C-(-3,4)
Step-by-step explanation:
Does anyone know the answer?
9 by the power of 2 x 2-4 by the power of 2
I AM IN THE NEED OF HELP ASAP THIS QUESTION IVE BEEN STUCK ON THIS ONE FOR HOURS!!!!
Answer:
1
Step-by-step explanation:
Write equations in slope-intercept form for three different lines that intersect at (-2,3).
Answer:
y = 3/2x + 6
y = -1/4x + 5/2
y = -x + 1
Step-by-step explanation:
I used the point (-2, 3) with a variety of slopes (3/2, -1/4, -1) and plugged the point and slope into y=mx+b to get 'b' (the y-intercept).
predict whether the product is greater than, less than, or equal to 7/10. What is the product? 10/10 x 7/ 10
Answer:
7/10 *10/10 is 70/100 or 7/10 so equal
Step-by-step explanation:
the product is 7/10.
it is 10/10which simplifies to 1(divide by 10)
so it wouldn't change
Hope this helsp zpl hit hte crown :D
x-axis =____
y-axis =____
y= x ____
y= -x____
Answer:
x-axis = (2, -3)
y-axis = (-2, 3)
y = x (3, 2)
y= -x (-3, -2)
Step-by-step explanation:
x-axis = (2, -3) The point is below the x-axis.
y-axis = (-2, 3) The point is left of the y-axis
y = x (3, 2) Plot the line y = x. The point is on the other side of the line.
y= -x (-3, -2) Plot the line y = -x. The point is on the other side of the line.
Translate the sentence into an inequality.
A number c increased by 3 is greater than -27.
Answer:
Inequality: c + 3 > -27
There are 5 quarts left in the fridge. How many liters are in the fridge? (1 quart = 0.946 liters).
Help me with this question Pleaseee
Answer:
The answer is 81°
Step-by-step explaination:
To start, the top right angle and the bottom left angle are alternate interior angles, making them congruent. The same justification goes for the angles in the top left and bottom right. With this in mind, 37° + 44° = 81°. Every triangle's angles always add up to 180°, meaning that 180° - 81° = 99°. Because angle n and the angle we just found to be 99° are supplementary, they also add up to 180°, therefore 180° - 99° = 81° which is the value of angle n.
(x-2)^2(x-3)(x+1)<0
Answer:
−1<x<2 or 2<x<3
Step-by-step explanation:
You need to find the critical points of the inequality first. Factor must be at left side of equation. Then set factors to 0. Be sure to check intervals in between critical points (test the intervals to see if they work/fit).
Hope this helps!
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
Find the value of x
Answer:
x=39 degrees
Step-by-step explanation:
x + 31 equals 2x - 8 because both pair of expressions must add up to 180
Joe Cool made 85% of the free throws
he attempted last season. If he made
51 free throws, how many did he
attempt?
Answer:
60 attempts
Step-by-step explanation:
Divide 51 by .85, and you get 60!
PLEASE HELP EASY MATH PLEASE ASAP
What is the Ax + By =C form (where A > 0, and A, B, and C are integers with
factors) of the equation of the line that passes through (-4,9) with a slope of -3/2
Answer:
Step-by-step explanation:
I don't really know what your question is asking for but I can tell you there's a quadratic formula that solves for x-ints. There's a quadratic equation which is Ax + bx + c = 0.