Answer:
There are 18,162,144,000 possible starting line-ups
Step-by-step explanation:
The order in which the player are chosen is important, as if two player exchange places, we have a new batting order. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
Batting order:
9 batters(8 field + the designated hitter) from a set of 15. So
[tex]B = P_{(15,9)} = \frac{15!}{(15-9)!} = 1816214400[/tex]
Pitcher:
1 from a set of 10. So
[tex]P = P_{(10,1)} = \frac{10!}{(10-1)!} = 10[/tex]
Total:
[tex]T = B*P = 1816214400*10 = 18162144000[/tex]
There are 18,162,144,000 possible starting line-ups
The bottom of a swimming pool is 10 feet below the surface of the water in the pool. The surface of the water is represented by the number 0, and the bottom of the pool is represented by the number -10. The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
What number represents the location of the diving board?
Answer:
10
Step-by-step explanation:
diving board = distance of bottom of pool to surface = 10
diving board 10
| 9
| 6
| 3
surface 0
| -3
| -6
| -9
bottom -10
The number 10 represent the location of the diving board from the surface of the water in the pool.
Given that, the bottom of a swimming pool is 10 feet below the surface of the water in the pool.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
The pool’s diving board is the same distance above the surface of the water as the bottom of the pool is below the surface of the water.
That is , 10 feet
The diving board is 10 feet above the surface of water
The diving board is 20 feet above the bottom of a swimming pool
Therefore, the number 10 represent the location of the diving board from the surface of the water in the pool.
To learn more about an integers visit:
https://brainly.com/question/15276410.
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A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
A right triangle will follow the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, or the longest side. In this case, it is 9.
That means a and b are 7 and 8.
Now let's plug in the values to see if they simplify correctly.
(7)² + (8)² = (9)²
Simplify the exponents.
49 + 64 = 81
Add the left side.
113 = 81
The above expression is not true; therefore, this triangle is not a right triangle.
1. The ratio of 2h to 30min is
A. 1:15
B. 4:1
C. none of these
Answer:
B. 4:1
Step-by-step explanation:
Since its 2 hours:30 minutes, in hours that is 2:1/2. So then if you want it in whole numbers you just multiply 2:1/2× 2 which would be 4:1.
Vie
What is the y-intercept of the line with the equation y = 4x+ 2?
a-2
C. 2
b 4
d.
NIN
Please select the best answer from the choices provided
A
D
Mark this and retum
Save and Exit
Next
Answer:
c. 2
Step-by-step explanation:
the Y- intercept is 2 because it says +2
Can you please help me thanks
Answer:
34.1x
Step-by-step explanation:
Each hour adds 34.1 more earnings. 4 x 34.1 = 136.4. 16 x 34.1 = 545.6 and so on and so forth.
Answer:
The cost per hour is 34.1
Step-by-step explanation:
136.40/4=34.1
545.60/16=34.1
716.10/21=34.1
the proportional is 34.1 in the earnings and time in an hour.
what is the answer to -1x3+4
Answer:
Your answer is 1, look below please
Step-by-step explanation:
ASSUMING that the x is a variable your equation is -1x=3+4 which would be...
-1x=7, then divide by -1 which gives us -7
Determine whether each of the properties described applies to volumetric or graduated glassware.
a. Used for applications in which great accuracy is needed __________
b. Capable of measuring a range of volumes of liquid _________
c. Designed to measure one specific volume of liquid _________
Answer:
a. volumetric glassware
b. Graduated glassware
c. volumetric glassware
Step-by-step explanation:
The graduated glassware and the volumetric glassware is the factory calibrated used to deliver such as the graduated cylinders and pipettes and it contains the volumetric flask of a known amount of the liquid.
A volumetric glassware is a type of the laboratory flask and a graduated glassware is mostly of the cylinder shape and is also known as the measuring cylinder.
In the context,
a). The volumetric glassware is used in the applications where much accuracy is needed to perform the experiment.
b). Graduated glassware is used for measuring a wide range of volume of the liquid used in the laboratory,
c). The volumetric glassware is used to measure one specific amount of the volume of the liquid to be used.
el 2% que fraccion representa
I don't understand exponents well best answer gets brainly
Answer:
i think its 125
Step-by-step explanation:
since 5^7 = 78,125 and 5^4 = 625
then it would be 78,125
---------- = 125
625
sorry if im wrong ;-;
Admission to the circus costs $4 plus $0.50 per ride. Ella spent $17.50 at the circus.
Answer:
Ella went on 27 rides.
Step-by-step explanation:
$17.50 - $4 = $13.50
Thirty security personnel need to be hired. They will work one week on and one week off for 20 hours per week. If they are paid $15/hour, what is the security labor cost for a four-week month?
Answer:
$18,000
Step-by-step explanation:
Step 1.
Figure out how much it costs to hire one security personal for a month
2×20×15
=600
$600 per person per month
Step 2.
Multiply that number by the no. of people needed to be hired
600×30
=18000
∴ The security labor cost for a four-week month is $18,000
The distance from the origin to the point (-6, 8) is
Answer:
10
Step-by-step explanation:
[tex]\sqrt{(-6-0)^2+(8-0)^2} =10.[/tex]
which statement is correct,
A.-1.5 <-2
B -2.5 < -3
C -3.5<-2.5
Answer:
c
Step-by-step explanation:
Answer:c
Step-by-step explanation: bc the smaller the negative the bigger the value
help please!!!!thankss
Answer:
translation, the reflection
Step-by-step explanation:
because from 1 to 2 it is a translation the 2 to 3 is a reflection because you can draw a line through it
help me in this too pls
Answer:
Area Of Rectangle : l×b ( length × breadth)
Step-by-step explanation:
Hope it helps you
Answer:
to find the area u need to multiply the base and the height
and I'll just use the numbers which you have as an example
20 x 10
200cm^2
0.5 km = M
Pls help me!!
Answer:
500
Step-by-step explanation:
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
Which fraction is in simplest form?
17
51
19
30
21
24
21
35
This year, John played in 10 baseball games. In these games he had hit the ball 2,3,1,1,3,2,4,6,2, and x times. The mean is 3 hits per game. Find the missing value
Answer:
x = 3
Step-by-step explanation:
The mean is the average so set up an equation that adds up all the points and divides them by the total, set equal to 3, and solve for x
(2+3+1+1+3+2+4+6+2+x)/10 = 3
(24 + x)/10 = 3
24 + x = 30
x = 6
To check if this is correct, add up all the numbers and divide by 10.
2+3+1+1+3+2+4+6+2+6 = 30/10 = 3
Answer:
Step-by-step explanation:
To solve this problem, we need to use the formula for calculating the mean or average of a set of data, which is:mean = sum of all values / number of valuesLet's first find the mean of John's hits in the 10 games he played this year:mean = (2+3+0+1+3+2+4+0+2+3) / 10 = 2.0So, John's mean hits per game in the 10 games he played this year is 2.0.To increase his mean by 0.5 in the first 10 games he plays next year, John needs to achieve a mean of 2.5 hits per game. Let's call the total number of hits John needs to achieve this mean "x".To find "x", we can use the formula for calculating the mean again:2.5 = (total number of hits in the next 10 games + total number of hits in the previous 10 games) / 20Multiplying both sides by 20, we get:total number of hits in the next 10 games + total number of hits in the previous 10 games = 50Substituting the total number of hits in the previous 10 games with the sum of all hits John had in those games, we get:total number of hits in the next 10 games + (2+3+0+1+3+2+4+0+2+3) = 50Simplifying this equation, we get:total number of hits in the next 10 games = 50 - 20 = 30Therefore, John needs to achieve a total of 30 hits in the first 10 games he plays next year to increase his mean hits per game by 0.5. So, the answer is (3) 20.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term. Assuming a binomial distribution, if 6 graduates are selected at random, what is the probability that at least 2 graduates have a summer job
Answer:
0.7667 = 76.67% probability that at least 2 graduates have a summer job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Forty percent of all high school graduate work during the summer to earn money for college tuition for the upcoming fall term.
This means that [tex]p = 0.4[/tex]
6 graduates.
This means that [tex]n = 6[/tex]
What is the probability that at least 2 graduates have a summer job
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.4)^{0}.(0.6)^{6} = 0.0467[/tex]
[tex]P(X = 1) = C_{6,1}.(0.4)^{1}.(0.6)^{5} = 0.1866[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0467 + 0.1866 = 0.2333[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.2333 = 0.7667[/tex]
0.7667 = 76.67% probability that at least 2 graduates have a summer job
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sun is divisible by 3.
Round your answers to two decimal places.
I need the answers fast
Answer:
A=11.1%
B=33.33%
Step-by-step explanation:
A.First Die Second die
6 5
5 6
6 4
4 6
4/36=1/9=.11=11.1 %
12/36=0.3333=33.333 percent
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
I’m stuck please help me
Answer:
7
Step-by-step explanation:
→ First find the hypotenuse of length 2 and 3
√2² + 3² = √13
→ Use it to find the length of d
√6² + (√13)² = 7
Which expression is a factor of
g(x) = 36x2 + 23x - 3
Match the term to its definition
Brainlessly and 25 points
Definitions on picture
•wages
•stock
•gross domestic product
•credit
•standard of living
•stock
•market crash
•interest
•great depression
•consumer
•surplus
Can someone help me, please????
Answer: -12
Step-by-step explanation:
if you'd like to convert a Fahrenheit temperature to an approximate Celsius temperature: Start with the temperature in Fahrenheit
Answer:
-12 degrees
Step-by-step explanation:
Fahrenheit and Celsius
10 degree fahrenheit
What is the celsius?
____________________
Take a look at the picture with the information provided, we see that f is the vertical line while c is the horizontal line. Since we are looking for 10 degree fahrenheit, let's find it on the vertical line. If we look at the red line, when it goes across 10 fahrenheit, the approximate part that it hits celsius is -12 degrees.
Pls help I’ll brainlest ASAP pls
Answer:
128
explanation:
cross multiply whereby 8*-112
it gives u -896 which u divide by -7 to get value of m as 128
hope it helps
The circumference of the earth is approx. 40,000 km.
a) What is the diameter of the earth?
b) Calculate the volume of the soil
A liter of water contains about 3.35 * 10 ^ 25 molecules. A certain river discharges about 2.4 * 10 ^ 7 of water every second. About how many molecules does the river discharge every minute?
Answer: 3.6791719e+46
Step-by-step explanation :
3.35 * 10 = 33.5 ^25
molecules per litre = 33.5 ^ 25
2.4 * 10 = 24 ^ 7 = 4,586,471,424 ( we'll assume this is ml as the question doesn't specify ) so thats 4,586,471,424ml discharged every second which is 4,586,471 litres per second. 4,586,471 * 60 seconds in a minute = 275,188,260 litres discharged every minute.
molecules per litre is 33.5 ^ 25 and litres discharged per minute is 275,188,260
so the answer would be : 275,188,260 * 33.5 ^ 25 = 3.6791719e+46 (in other words a big number)
Check yourself ^
If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?
F. 3z
G. 5z
H. 8z
J. [tex]\frac{25}{3} z[/tex]
K. [tex]\frac{31}{3}z[/tex]