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kondor19780726 [428]
3 years ago
8

Suppose the length of the pool in Example 1 is

Mathematics
1 answer:
irinina [24]3 years ago
7 0
Do they have a picture which comes w it
You might be interested in
A conductor needs 5 cellists and 5 violinists to play at a diplomatic event. to do this, he ranks the orchestra's 10 cellists an
DaniilM [7]
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.

Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240

Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160

Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
3 0
3 years ago
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0
3 years ago
Name a number that has a prime factorization with three distinct factors
yanalaym [24]
210 Has 3,5,7 As Prime Factors

5 0
3 years ago
The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n r
USPshnik [31]

Answer:

n = 2 + (60/2)

Step-by-step explanation:

6 0
2 years ago
Data from the U.S. Department of Education indicates that 59% of business graduate students from private universities had studen
san4es73 [151]

Answer: The mean of this distribution = 61.95

The standard deviation of this sampling distribution  (i.e., the standard error= 0.048

Step-by-step explanation:

Given : Data from the U.S. Department of Education indicates that 59% of business graduate students from private universities had student loans.

i.e. proportion of business graduate students from private universities had student loans : p=0.59

sample size : n=105

Then , the mean of the distribution is given by :-

\mu= np = (105)(0.59)=61.95

∴The mean of this distribution = 61.95

Then standard deviation of this sampling distribution is given by :-

\sqrt{\dfrac{p(1-p)}{n}}\\\\=\sqrt{\dfrac{(0.59)(1-0.59)}{105}}\\\\=\sqrt{0.00230381}\\\\=0.047998015832\approx0.048

∴The standard deviation of this sampling distribution  (i.e., the standard error= 0.048

8 0
3 years ago
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