The next four batters on a baseball team have hitting percentages of 0.400,0.325, o.250, and 0.300, respectively The team currently has two outs. If any player gets an out, the next player or players will not get an opportunity to bat. What is the probability that the fourth player will have an opportunity to bat?
B for online school yuhp
What is the arc length when Θ = pi over 3 and the radius is 5 cm?
Answer:
Arc length = 5.23 cm
Step-by-step explanation:
Given : Radius = 5 cm
Angle = [tex]\theta=\frac{\pi}{3}[/tex]
To find : Arc length(A)
Solution: The formula of arc length is
A = radius × angle(in radian)
[tex]A= 5\times\frac{\pi}{3}[/tex]
⇒[tex]\frac{5\pi}{3}[/tex]
A ⇒15.70/3 = 5.23 cm
Write an equation of the line that passes through the given point and has the given slope. Write the equation in slope-intercept form.(–5, –6), m = –3 Show your work :)
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are filled, customers add as many toppings as they want without exceeding a total weight of 6 ounces. Which of the following represent the acceptable weights for the frozen yogurt options? Select all that apply:
A.) 0 < x ≤ 6
B.) 0 < x ≤ 3
C.) 4 ≤ x ≤ 6
D.) x ≤ 6
E.) |x - 5| ≤ 1
F.) |x - 2| ≤ 6
By writing an inequality and then converting it to an absolute value equation, we will see that the correct options are C and E.
How to find an inequality?
To find the inequality, we need to find the lower and upper bounds.
First, we know that the machine fills the cups with 4 oz of yogurt, so this is the minimum value allowed, we will have:
4 ≤ x
Then we can add toppings to a maximum value of 6 ounces, this will be the maximum, then we have:
4 ≤ x ≤ 6
We can also write this an absolute value equation, we define:
m = half of the difference of the bounds.M = lower bound + mThen the absolute value equation is:
|x - M| ≤ m
By replacing what we found before, we have:
m = (6 - 4)/2 = 1M = 4 + 1 = 5So the absolute value equation is:
|x - 5| ≤ 1
Finally, we can conclude that the correct options are C and E.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/11234618
Solve using perfect square factoring patterns. x2 – 8x + 16 = 25
Find the product.
(-5a ^2)^3 · a ^5
-15a^10
-125a^11
15a^6
-125a^10
please help!!!! question is/.........
There is a traffic light at the intersection of walnut street and Lawrence avenue. The traffic light in walnut street follows a cycle. It is green for 50 seconds, yellow for 10 seconds, and red for 30 seconds, as you travel along walnut and approach the intersection, what is the probability that the first color you see is red?
Answer: The probability that the first color we see is red is 0.34.
Step-by-step explanation:
Since we have given that
Time taken by green color on the traffic light = 50 seconds
Time taken by yellow color on the traffic light = 10 seconds
Time taken by red color on the traffic light = 30 seconds
Total number of seconds = 50+10+30=90
So, Probability that the first color we see is red is given by
[tex]\dfrac{\text{Time alloted for red color}}{\text{Total number of seconds}}\\\\=\dfrac{30}{90}\\\\=\dfrac{1}{3}\\\\=0.3333...\\\\\approx 0.34[/tex]
Hence, the probability that the first color we see is red is 0.34.
Mike and adam left a bus terminal at the same time and traveled in opposite directions. mike’s bus was in heavy traffic and had to travel 20 mi/h slower than adam’s bus. after 3 hours, their buses were 270 miles apart. how fast was each bus going?
Hosting a breakfast for 25 people you plan to serve scrambled eggs the grocery store sells eggs in cartons and each carton can feed people. how many cartoons of eggs must you buy to ensure each guest a serving
The number of egg cartons required to serve 25 people with scrambled eggs is 3 cartons, assuming each carton serves 12 people and we cannot purchase partial cartons.
To calculate the number of egg cartons needed to serve scrambled eggs to 25 people, we first need to know how many people each carton can serve. However, it appears there's a typo or missing information in the question regarding the number of people an egg carton can serve. Assuming that one egg carton can serve a certain number of people, we'd use that information to determine the total number of cartons required.
If we refer to the related information provided about pancakes - where one egg is needed for 8 pancakes - we can draw a parallel for eggs for scrambled eggs. If one egg serves one person in the case of scrambled eggs, and typically there are 12 eggs in a carton, then one carton would serve 12 people.
Using this assumption, since we have 25 people to serve, we can calculate the number of cartons needed as follows:
25 people
Since we cannot purchase a partial carton, we would need to round up to the nearest whole number. Therefore, we would need to purchase 3 cartons of eggs to ensure each guest has a serving.
A committee consisting of 6 people is to be selected from eight parents and four teachers. find the probability of selecting three parents and three teachers.
Answer with explanation:
→Total Number of People which are in the group =8 parents + 4 Teacher=12 People
→Probability of an Event
[tex]=\frac{\text{Total Favorable Outcome}}{\text{Total Possible Outcome}}[/tex]
→Probability of selecting three parents and three teachers
= Selecting 3 parents from 8 Parents +Selecting 3 teacher from 4 teacher
As order of Arrangement is not Important ,so we will use the concept of Combinatorics.
→→ Required Probability
[tex]=\frac{_{3}^{8}\textrm{C}\times _{3}^{4}\textrm{C}}{_{6}^{12}\textrm{C}}\\\\=\frac{\frac{8!}{3!\times 5!}\times \frac{4!}{3!\times 1!}}{\frac{12!}{6!\times 6!}}\\\\=\frac{56 \times 4}{7\times 4 \times 3\times 11}\\\\=\frac{8}{33}[/tex]
Find the sum of the arithmetic sequence. 15, 17, 19, 21, ..., 33
Answer:
240
Step-by-step explanation:
Hope this helps! :)
What is the domain of y = tan x, where n is any integer?
Answer:
x is not equal to pi/2 + n*pi
Step-by-step explanation:
just got it right on a pex
What is the data path width for a dimm that supports ecc?
Normally, the data path width for DIMMs is 64 bits but for the DIMMs that support ECC, the data path is 72 bits.
To add, error checking uses the extra 8 bits. ECC memory is more reliable than non-ECC memory but it costs more than a non-ECC memory. Comprising the DIMMS are a series of dynamic random-access memory integrated circuits. Mounted on a printed circuit board, these modules are designed for use in personal computers, workstations and servers.
The most common kinds of internal data corruption are detected and corrected by a type of computer data storage called error-correcting code memory.
What is the problem to this
Find the fifth roots of 243(cos 240° + i sin 240°)
Given the following linear function sketch the graph of the function and find the domain and range.
F(x)=2/7x-2
Simplify 12 to the 16th power over 12 to the 4th power
Teh width of a rectangle is 2 cm less than 7 times the length. the perimeter is 60 cm. determine the length and the width of the rectangle
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) and (7, –13), and the center of the arch on the bridge is located at (0, 0). Find the equation of the arch of the bridge.
The equation of the arch is y = (-13/49)x².
The equation of an arch can be described by a parabola when one side of the arch mirrors the other side. This is the case for the bridge problem given.
The center of the bridge is at the origin (0, 0), and it is the vertex of the parabola. Since the arch is symmetrical and the x-coordinate of the vertex is 0, the parabola is a vertical one. Thus, the equation will be in the form y = ax². To find the value of a, we will use the fact that one end of the bridge is at (7, -13).
Since (7, -13) is a point on the parabola, by plugging these values into the equation y = ax², we get:
-13 = a(7²)
-13 = 49a
a = -13/49
Thus, the equation is y = (-13/49)x².
Which is the slope of the line that connects points (3,17) and (7,25) ?
On a blueprint, the scale indicates that 7 cm represent 16 ft. What is the length of a room that is 9.8 cm long and 5 cm wide on the blueprint?
7/16 =9.8/ x =156.8/7 = 22.4 feet long
7/16 = 5/x = 80/7 = 11.428 feet wide round to 11.43 or 11.4 feet
What is recorded in section 24 of cms-1500?
Suppose a youth organization wants to choose a president, vice-president and secretary for the upcoming year from its 35 person membership. In complete sentences, explain why this is a permutation. Determine how many different ways the youth board can be chosen.
Find P(organic | oranges)
Find P(Non-organic | oranges)
The variable Z is directly proportional to X. When X is 3, Z has the value 54. Wha is the value of Z when X= 12
now find new Z
Z = 18X
Z = 18(12)
Z = 216
HELP If f(x)=1/7x-9,then f^-1(x)=?
Answer:
Plato/Edementum
Step-by-step explanation:
this is the correct answer if you are taking Inverse of a Function: Mastery Test just type in 7x+63 type it in like that and it will be correct
Determine whether the sequence converges or diverges. If it converges, give the limit. 60, 10, five divided by three, five divided by eighteen, ...
What is the correct name for this circle?
the circled is named for the letter in the center
so this one is named circle C
A farmer kept 96 kilograme of animals feed inhis barn the barn leaked and 1/10 of the feed was waisted , how mych animal feed was left