Divide $400 in the ratio 3 :5
Solution:
Given ratio - 3:5
1 part = 3
2 part = 5
Total no. of parts = 3 + 5 = 8 parts
400 / 8 = 50
3 * 50 = 150
5 * 50 = 250
I think that's it :D
A sports reporter for the local paper keeps stats at little league baseball games.
Among them, he tracked the number of pitches thrown at all of Fulton County Little League's games and Randolph County Little League's games.
The box-and-whisker plots show the results.
Answer:
The fulton county has fewer pitches.
Step-by-step explanation:
On average, there are 12 potholes per mile on a particular stretch of the state highway. Suppose the potholes follow a Poisson distribution on the highway. a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.) b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway. (Do not round intermediate calculations. Round your final answer to 4 decimal places.)
Answer:
a) 0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b) 0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
a. Find the probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
Mean of 12 potholes per mile, which means that in a quarter-mile stretch, the mean is [tex]\mu = \frac{12}{4} = 3[/tex]
This probability is:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*(3)^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*(3)^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992[/tex]
0.1992 = 19.92% probability of finding fewer than two potholes in a quarter-mile stretch of the highway.
b. Find the probability of finding more than one pothole in a quarter-mile stretch of the highway.
This is
[tex]P(X > 1) = 1 - P(X < 2)[/tex]
We have that [tex]P(X < 2) = 0.1992[/tex]
So
[tex]P(X > 1) = 1 - P(X < 2) = 1 - 0.1992 = 0.8008[/tex]
0.8008 = 80.08% probability of finding more than one pothole in a quarter-mile stretch of the highway.
Graph the line with the equation y - 1/4x +5.
Answer:
Y-intercept=5 Slope=-1/4
Step-by-step explanation:
Plot a point on (0,5)
From that point, you can either go down 1 point and right 4 points, or you can go up 1 point and go left 4 points.
Whichever one you choose, plot a point after each 2 movements
if this is too confusing, another point would be (4, 4) then make a line through both points.
Find the circumference of the circle.
Answer:
Last box
Step-by-step explanation:
The circumference is 2πr. They tell you that r = 9, so the answer is 18π = [tex]18 * 3.14 = 56.25[/tex] which is closest to the last box (56.52)
What is the value of n
. n=8cm.
Step-by-step explanation:
Answer:
where is the equation
Step-by-step explanation:
FLIPPIN H E L P
which shows how to solve the equation3/4 x = -6 for x in one step?
a) 3/4 (4/3)x = -6 (4/3)
b) 3/4 (4)x = -6 (4)
c) 3/4 (4)x = -6 (3)
d) 3/4 (4/3)x = -6 (3/4)
PLS HELP ME YOU DON'T HAVE YO SHOW UR WORK
Answer:
b.
-2/3
Step-by-step explanation:
2/3 + (-2/3)
2+-2/3
0
hope this helps :)
Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book
Step-by-step explanation:
What are the zeros of this function?
- 10
10
- 10 -
O A. x = 0 and x = -6
OB. X = 2 and x = -6
O C. x = 0 and x = 5
O D. x = 0 and x = -5
Answer: c
Step-by-step explanation:
The zeros of the given function shown in the graph are x = 0 and x = 5. Option C is correct.
What are the zeros of equations?Zeros of an equation is defined as the value of the independent variable where the equation or function gives zero.
Here,
To calculate the zeros of a function from a graph, you need to identify the points where the graph intersects the x-axis. The x-values of these points of intersection are the zeros of the function.
Based on the graph provided, it can be concluded that the zeros of the function occur at x = 0 and x = 5, and therefore, option C is the correct answer.
Learn more about zero of a function here:
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help what is 383 plus 727 minus 71 plus 8181 times 2 divided by 6 rounded to the nearest tenth to the tenth power help hurry!!
A card game is being played and the 7 of clubs, 9 of hearts, 10 of spades, and
10 of hearts are drawn. In order to win the hand, the next card must be higher
than the highest card already on the table. Assuming the game is played with
a single deck, what is the chance that the next card drawn will win the hand?
(An ace has a value of 1.)
A. 12%
B. 24%
C. 3%
D. 25%
Answer:
Step-by-step explanation:
Only j,q,k beat 10 and there are four each of them so there are 12 cards that will beat the ten. 4 cards have already been drawn so there are 52-4=48 cards left in the deck, so the probability of beating the 10s is
12/48
1/4
Which is 25%
Find the value (5x2 - 6x) = 3x
Answer:
x=0, 1+4/5
Step-by-step explanation:
do you need a Step-by-step explanation?
Which equation is correct?
sin hº = Z/X
sin hº = X/Z
cos hº = Z/X
cos hº = X/Z
Answer:
cos h° = x/z
Step-by-step explanation:
SOH CAH TOA
A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?
Answer:
[tex]6 \times \frac{1}{2} - 3 \times \frac{3}{8} = 1 \times \frac{7}{8} [/tex]
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is
[tex]3\frac{1}{8}[/tex] feet
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example:
1/2, 1/3 is a fraction.
1/2 of 4 is 2.
1/4 of 20 is 5.
We have,
Length of the board = [tex]6\frac{1}{2}[/tex] feet.
The length cut off from the board = [tex]3\frac{3}{8}[/tex] feet.
The remaining length of the board:
= [tex]6\frac{1}{2}[/tex] - [tex]3\frac{3}{8}[/tex]
= 13/2 - 27/8
Find the Lcm of 2 and 8.
The Lcm of 2 and 8 is 8.
= (13x4 - 27) / 8
= (52 - 27) / 8
= 25/8
Write it in a mixed fraction.
= [tex]3\frac{1}{8}[/tex] feet
Thus,
The remaining piece of the board when [tex]3\frac{3}{8}[/tex] feet is cut off from the end of the board of [tex]6\frac{1}{2}[/tex] feet is [tex]3\frac{1}{8}[/tex] feet.
Learn more about fractions here:
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Can someone help me? I’ll reward points + brainalist
in the figure wx = wy. find a b c
Answer:
Step-by-step explanation:
b = 75°
a = 180° - 2(75°) = 30°
Angle XYZ = 180°-b = 105°
c = b - 35° = 40°
7ft
5ft
8ft
7ft
Find the area of each figure
Help now ____________[_
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
HEEEELP WILL GIVE BRAINLIEST
Answer:
Yes
Step-by-step explanation:
3/6 = 12/24
Answer:
Yes!
Step-by-step explanation:
It can be also written as:
3 6
_ = _
12 24
3x2 =6
you multiplied 3 by 2, so do the same to the bottom!
12x2=24
So, this is right!
a parabola has vertical axis symmetry with a vertex at the point of (0,0) and (0, -5) focus point
HELPPPPPPPPP Please
Answer:
x= 27/2
Step-by-step explanation:
The sum of all even numbers from 0 to 420 is
Answer:
the sum of all even number from 0 to 420 is 175980
find the value of x
thank u so much
Answer:
x= 100
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary.
80+x = 180
x = 180-80
Answer:
x = 100
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral are supplementary, then
x + 80 = 180 ( subtract 80 from both sides )
x = 100
Katie earns $0.50 each time she does a chore. She does some chores. Then she gets $6 for her birthday. How much money does she have?
Answer:
First I need to know how much chores she does because I can't get the money that she makes with the word SOME I need to know how many chores she makes.
Step-by-step explanation:
1. Plot the following points on the same coordinate system.
(a) A(2,2)
(b) B(-1,2)
(c) C(-3,-1)
(d) D(2, -3)
Porcentajes
•Halla los siguientes porcentajes.
•
•a) 15% de 300, b) 25% de 8,000, c) 50% de 7,500,
•
•d) 45% de 1000, e) 30% de 3,600, f) 25% de 5,500
Answer:
A: 45
B: 200
C: 3750
D: 450
E: 1080
F: 1375
Step-by-step explanation:
Find the solution to the system of equations.
2x + 3y + z = 20
3y + 5z = 12
y - 5z = 4
O A. x = 2, y = 5, z = 0
O B. x = 3, y = 3, z = 0
C. X = 4, y = 4, z = 0
D. X = 3, y = -2, z = 4
Answer:
C is the answer
Step-by-step explanation:
hope that helped
URGENT! pls help and give a explanation. if you do i’ll mark brainliest !!
Answer:
i think ur right but i dont know for sure i did the math and got that
Step-by-step explanation: