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3 years ago

The length of a field in feet is a function f(n) of the length n in yards. Write a function rule for this situation.

Mathematics

1 answer:

ivanzaharov [21]3 years ago

8 0

Answer:

D.f(n) = 3n

Step-by-step explanation:

The function rule for this given situation is shown below;

Given that

The length of the field in feet would be f(n) of the length n in yards

Now as we know that

1 yard = 3 inches

f(n) = 3n

Hence, the option d is correct

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Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Anna35 [415]

Answer:

$70 \div 4 + 74 \times 0.68 yan po$

8 0

2 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Oliga [24]

Answer:

no of sample within two percentage points is 5409

no of sample not use prior estimates is 8321

Step-by-step explanation:

Given data

E = 2% = 0.02

male m = 21.2 % = 0.212

female f = 19.7 % = 0.197

to find out

no of sample within two percentage points and if does not use any prior estimates

solution

first we calculate no of sample within two percentage points

we know Z critical value for 99% is 2.58

so no of sample will be

n = (Z / E )² × m(1-m) + f ( 1-f )

put all the value we get no of sample

n = (2.58 / 0.02 )² × 0.212 ( 1 - 0.212 ) + 0.197 ( 1 - 0.197 )

n = 16641 ×0.3250

no of sample within two percentage points is 5409

in 2nd part no of sample not use prior estimates

here than f and m will be 0.5

than

n = (Z / E )² × m(1-m) + f ( 1-f )

put all value

n = (2.58 / 0.02 )² × 0.5 ( 1 - 0.5 ) + 0.5 ( 1 - 0.5 )

n = 16641 × 0.5

no of sample not use prior estimates is 8321

7 0

3 years ago

Find M a)21 b)32 c)40 d)63 Step by step please

lina2011 [118]

Answer:

a) 21

Step-by-step explanation:

If the columns are labeled a, b, c, d left to right, it appears that we have ...

$\sqrt{a}\times(b-c)=d\\\\\sqrt{49}\times(10-7)=21$

The value of M is 21.

_____

Questions like this require that you try different combinations of operations on the numbers shown to see if you can find a relationship. Here, the left column is a perfect square, so that is a clue. The difference of the numbers in the middle columns is a factor of the number in the right column -- another clue. It takes a certain amount of creative thought and familiarity with arithmetic facts. There is no "step-by-step" for a problem like this.

5 0

3 years ago

Read 2 more answers

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(X = 8) = 0.0037$

$P(X < 5) = 0.805$

$P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is $p = 0.267$

Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable X we have that

$X \ \ \~ \ \ { B ( p , n )}$

The probability distribution function for binomial distribution is

$P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}$

Considering question a

Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

$P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}$

Here C denotes combination

$P(X = 8) = 495 * 0.000025828 * 0.28867947$

$P(X = 8) = 0.0037$

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

$P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)]$

=> $P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ]$

=> $P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964$

=> $P(X < 5) = 0.805$

Considering question c

Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

$P(X > 6) = 1 - p(X \le 6)$

=> $P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]$

=> $P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ]$

=> $P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]$

=> $P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

8 0

3 years ago

Solve the formula for the indicated variable. k=g-d/c for g

Murrr4er [49]

Just like any other variable, we complete the same process

$k = g - \frac{d}{c} \\ k + \frac{d}{c} = g \\ \frac{kc + d}{c} = g \\$
Now we can test it, let's say k=4, d=6, and c=2, let's find the value of g
$4 = g - \frac{6}{2} \\ 4 + 3 = g \\ 7= g$

OR

$\frac{kc + d}{c} = g \\ \\ \frac{(4 \times 2) + (6)}{(2)} = g \\ \frac{14}{2} = g \\ g = 7$

8 0

3 years ago

Read 2 more answers