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3 years ago

The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

6 schedules

Step-by-step explanation:

First, decide if this situation describes a combination or a permutation by looking at the significance of order. Consider a specific example where the letters A – C represent the 3 different pitchers. The pitching order A, B, C is different from the pitching order B, C, A because the players will be pitching at different times. Therefore, this situation describes a permutation. Use the formula for finding the number of permutations when the number of pitchers is 3, so n = 3, and all 3 are taken at a time, so r = 3 as well.

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WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.

wel

Answer:

$y=\frac{6}{5}x-5$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$

Plug in the two given points (0,-5) and (5,1)

$m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}$

Therefore, the slope of the line is $\frac{6}{5}$ . Plug this into $y=mx+b$ :

$y=\frac{6}{5}x+b$

2) Determine the y-intercept (b)

$y=\frac{6}{5}x+b$

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

$y=\frac{6}{5}x-5$

I hope this helps!

6 0

3 years ago

Read 2 more answers

Rt=R1 R2__, determined Rt when R1=100 and R2 =200? R1+R2 (electronics)

zloy xaker [14]

Answer:

$R_t=300\ \Omega$

Step-by-step explanation:

Given that,

R₁ = 100 ohms

R₂ = 200 ohms

We need to find the equivalent resistance of the circuit. So,

$R_t=R_1+R_2\\\\R_t=100+200\\\\R_t=300\ \Omega$

So, the equivalent resistance is $300\ \Omega$ .

7 0

3 years ago

T=(g+m)b solve for b

lutik1710 [3]

Answer:

b= t/g+m

Step-by-step explanation:

Hope this helps.

3 0

3 years ago

a boat salesperson earns a 2.5% commission on the sale of each boat Find the commision earned on a boat that sells for 18,500

marin [14]

100% = 1.0
2.5% = 0.025

So now we know the decimal that corresponds to 2.5%, so all we have to do is multiply the price of the boat by this value in order to find the commission earned:

18 500 x 0.025 = $462.50

5 0

3 years ago

Read 2 more answers

What is the interquartile range of the fun lowing data? 332, 401, 424, 458, 443, 357 , 380

Lubov Fominskaja [6]

Answer:

Interquartile Range

The interquartile range of an observation variable is the difference of its upper and lower quartiles. It is a measure of how far apart the middle portion of data spreads in value.

Interquartile Range = U pper Quartile − Lower Quartile

Problem

Find the interquartile range of eruption duration in the data set faithful.

Solution

We apply the IQR function to compute the interquartile range of eruptions.

> duration = faithful$eruptions # the eruption durations

> IQR(duration) # apply the IQR function

[1] 2.2915

Answer

The interquartile range of eruption duration is 2.2915 minutes.

Exercise

Find the interquartile range of eruption waiting periods in faithful.

Step-by-step explanation:

4 0

3 years ago