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Answer:

The first step would be to look at the average for each brand.

The average can be calculated as:

A = (a1 + a2 + .... + an)/N

where a1 is the first lifetime, a2 is the second one, etc. And N is the total number of data points.

So, for Brand 1 we have:

A1 = (260 + 218 + 184 + 219)/4 = 220.25

Brand 2:

A2 = (181 + 240 + 162 + 218)/4 = 200.25

Brand 3:

A3 = (238 + 257 + 241 + 213)/4 = 237.25

So only from this, we can see that Brand 3 has the larger lifetime, then comes Brand 1 and last comes Brand 2.

Step-by-step explanation:

If the order is relevant, the number of permutations is:

₁₀P₅ = 30,240

If the order is not relevant, the number of combinations is:

₁₀C₅ = 252

The number of ways to choose 5 letters among 10 without replacement will be 252 and with replacements will be 30240.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

The number of ways to choose r quantity among n without replacement is given as nCr = n!/(r!(n - 1)!)

n = 10 and r = 5

10C5 = 252

The number of ways to choose r quantity among n with replacement is given as, nPr = n!/(n - r)!

n = 40 and r = 5

10P5 = 10!/(10 - 5)! = 30240

Hence "The number of ways to choose 5 letters among 10 without replacement will be 252 and with replacements will be 30240".

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Answer:

5 years

Step-by-step explanation:

Principal Amount to be paid=$4500

Interest rate = 2%

Number if Times compounded= number of years

Number of years = x

Among total= $5010

A= p(1+r/n)^(nt)

But n= t =x

A= p(1+r/x)^(x²)

5010=4500(1+0.02/x)^(x²)

5010/4500 = (1+0.02/x)^(x²)

1.11333=( 1+0.02/x)^(x²)

Using trial and error method the number of years maximum to give approximately $5010 is 5 years

Answer:

The distance between the art gallery and the office supply store is 42 miles

Step-by-step explanation:

Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;

32.1 mi + 9.9 mi = 42 mi

Answer: She can select 7 workshops if more than 4 must be about anthropology in 1716 ways.

Step-by-step explanation:

Given, The organizer of a conference is selecting workshops to include. She will select from 9 workshops about anthropology and 5 workshops about psychology.

If he select 7 workshops if more than 4 must be about anthropology, the possible combinations = (5 anthropology, 2 psychology), (  6 anthropology, 1 psychology), (7 anthropology, 0 psychology)

Number of possible combinations = [tex]^9C_5\times ^5C_2+^9C_6\times ^5C_1+^9C_7\times ^5C_0[/tex]

[tex]=\dfrac{9!}{5!4!}\times\dfrac{5!}{2!3!}+\dfrac{9!}{6!3!}\times(5)+\dfrac{9!}{7!2!}\times (1)\\\\=\dfrac{9\times8\times7\times6}{4\times3\times2\times1}\times\dfrac{5\times4}{2}+\dfrac{9\times8\times7}{3\times2\times1}\times5+\dfrac{9\times8}{2}\\\\=1260+420+36\\\\=1716[/tex]  [using formula for combinations [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]]

Hence, she can select 7 workshops if more than 4 must be about anthropology in 1716 ways.

Answer:

-21/5 = -4.2

Step-by-step explanation:

-21.87 / 4.79 = -4.5657.....

So, the quotients is -4

Now, Let's see who's quotient is equal to think one:

-21/4 = -5.25

-21/5 = -4.2

-40/4 = -5

-20/5 = 4

Answer:

-21/5 = -4.2

Step-by-step explanation:

Answer:

B Kim rode 3 more miles per week than Eric rode.

Answer:

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

Step-by-step explanation:

With python you can use this code to see the graph.

import pandas as pd

import seaborn as sns

dfA = pd.DataFrame()

dfB = pd.DataFrame()

dfA['Value'] = pd.Series([56, 62, 71, 82, 92, 101, 106, 103, 97, 84, 68, 57])

dfA['Letter'] = 'A'

dfB['Value'] = pd.Series([36, 42, 48, 56, 63, 72, 78, 75, 69, 58, 46, 37])

dfB['Letter'] = 'B'

df = pd.concat([dfA,dfB],axis = 0).reset_index(drop = True)

sns.boxplot(x = 'Letter', y = 'Value', data = df)

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

Answer:

A values are higher, above 80 and max 100.

B values are lower than 60 and max 80.

Answer:

a

  [tex]S.E = 0.05[/tex]

b

 [tex]P(P > 0.75) = 0.0013499[/tex]

Step-by-step explanation:

From the question we are told that

      The population  [tex]p = 0.60[/tex]

       The  sample size is  [tex]n = 96[/tex]

       The  sample proportion is  [tex]\r p = 0.75[/tex]

Generally the standard error is mathematically represented as

      [tex]S.E = \sqrt{ \frac{p(1-p)}{n } }[/tex]

substituting values    

       [tex]S.E = \sqrt{ \frac{0.60 (1-0.60 )}{96 } }[/tex]

       [tex]S.E = 0.05[/tex]

The  probability that  more  than  75% of consumers will indicate they like the drink is mathematically represented as

       [tex]P(P > 0.75) = P(\frac{\r P - p }{\sqrt{\frac{p(1-p)}{n} } } > \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } } )[/tex]

 The  z-score is  evaluated as

              [tex]z = \frac{\r p - p }{\sqrt{\frac{p(1-p)}{n} } }[/tex]

So  

         [tex]P(P > 0.75) = P(Z > \frac{0.75 - 0.60 }{0.05} )[/tex]

         [tex]P(P > 0.75) = P(Z > 3)[/tex]

         [tex]P(P > 0.75) = 0.0013499[/tex]

This value above is obtained from the z-table  

Answer:

676/5929

Step-by-step explanation:

Answer:

Its B and D

Step-by-step explanation:

Because thats where the points intersects/meet.

Answer:

There are 7 ways in which the formula can be evaluated to False.

Step-by-step explanation:

In order to solve this problem we will need to build a truth table. In order to build the truth table, we must start by setting the possible truth values combinations. In total there must be 8 rows, which you can see on the first three columns of the attached table.

Next, it is advisable that you divide the formula in little chunks of information that will be easier to evaluate. One column can be (p->q).

Let's evaluate that first column. In general, that column can only be false if p=T -> q=F. Which happens only on the 3dr and 4th rows of the table. The rest of the statements are true.

The next column will be (q->r). The same condition is met here, but this time you take into account the values given on the q and r columns. The false values will happen only on the 2nd and 6th rows. The rest of the rows for that collumn should be true.

Finally you can test for the whole formula. the first, 4th and 5th columns must be true for the formula to be true as well, which will happen only on the first row. The rest of the rows will have at least one false statement which makes the whole row false. So the rest of the rows are false.

(see attached picture for the whole truth table)

Answer:

The  99%  confidence interval is

                     [tex]37.167< \= x < 44.833[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  [tex]n = 29[/tex]

  The  sample mean is  [tex]\= x =[/tex]$41

  The  sample standard deviation is  [tex]\sigma =[/tex]$8

   The  level of confidence is [tex]C =[/tex]99%

Given that the confidence level id  99% the level of confidence is evaluated as

        [tex]\alpha = 100 - 99[/tex]

        [tex]\alpha = 1[/tex]%

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table which is  

      [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The reason we are obtaining values for  is because  is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while   is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

Next we evaluate the margin of error which is mathematically represented as

          [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

         [tex]MOE = 2.58 * \frac{8 }{\sqrt{29} }[/tex]

           [tex]MOE = 3.8328[/tex]

The 99% confidence level is constructed as follows

      [tex]\= x - MOE < \= x < \= x + MOE[/tex]

substituting values

    [tex]41 - 3.8328 < \= x < 41 + 3.8328[/tex]

     [tex]37.167< \= x < 44.833[/tex]

Answer:

Suppose Jenna drives 41 miles on Monday. The Z-score when x - 41 is    [tex]-0.943[/tex].   The mean is  [tex]46[/tex]  This z-score tells you that x = 41 is  [tex]0.94[/tex]  standard deviations to the left of the mean.

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\= x = 46\ miles / day[/tex]

  The standard deviation is  [tex]\sigma = 5.3 \ miles \ per \ day[/tex]

   The  value of =  41

Generally the z-score is mathematically represented as

        [tex]z = \frac{x-\= x}{\sigma }[/tex]

substituting values  

         [tex]z = \frac{41-46}{5.3}[/tex]

          [tex]z = - 0.943[/tex]

Answer:

D. (the last one)

Step-by-step explanation:

The horizontal row lists the 3 outcomes of the spinner.

The vertial column lists the 2 outcomes of the card selection.

In the resulting sample space of 2x3=6, each table cell should contain the combination of the row value and the column value.

So in the "Orange" column, all cells below it should start with Orange. Same for the other columns.

In the Purple row, each cell should end with Purple.

Only that way, each table cell represents a possible outcome.

Answer:

See below

Step-by-step explanation:

Alex finally understands how Bob was trying to trick him into winning the bet because of how he puts in the condition for probability being less than 10%. Whichever way the outcome of the coin toss turns out to be, it will be in Bob's favor and Alex will lose the bet. If the coin is flipped 3 times, the probability of having heads exactly twice is [tex]\frac{4}{9}[/tex]

Answer:

Starcraft

a) Probability of losing at most 2 games = 33%

b) Probability of winning at least 4 games = 67%

Step-by-step explanation:

a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%

b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%

c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100.  This shows the chance that 2 of the games out of 6 could be lost by Serral.  On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100.  It implies that there is a chance, 4 out of 6, that Serral would win the game.

Answer: The zeros are -1,-3, and 3

Hope this helps

Answer:

let g[x]=0

then0=x3−x2-9x+9

rewrite it as x3−x2−9x+9=0

by factorising it becomes

(x−1)(x+3)(x−3)=0

therefore

either x-1=0  OR x+3=0  OR  x-3=0

which becomes

x=1   OR   x=-ve3  OR  x=3

are the zeroes of the polynomial

hope this helps

Answer:

a)75%

b)96%

c)69.4%

d)85.2%

e)91.3%

Step by step explanation:

Given:

Mean=60

Standard deviation= 5

We were told to use chebyshev's theorem.to determine the percentage of the above given data within each of the following ranges

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.

Answer:

sin(O) = 2/sqrt(5)   or 2sqrt(1/5)

Step-by-step explanation:

using 1+cot^2(x) = csc^2(x)

we have, taking reciprocal on both sides,

sin(x) = 1/sqrt(1+cot^2(x)

= 1/sqrt(1+(-1/2)^2)

= 1/sqrt(5/4)

= 2/sqrt(5)   or 2sqrt(1/5)

Since angle x is in the second quadrant, sin(x) is positive.

Step-by-step explanation:

Given the formula

a(n+1)=an−3

The first term a(1) = 31

For the second term

a(2)

We have

a( 1 + 1) = a(1) - 3

a(2) = 31 - 3

a(2) = 28

For the third term

a(3)

We have

a(2+1) = a(2) - 3

a(3) = 28 - 3

a(3) = 25

For the fourth term

a(4)

That's

a(3+1) = a(3) - 3

a(4) = 25 - 3

a(4) = 22

Hope this helps you

Answer:

A...............................

Answer:

Step-by-step explanation:

the inequality represented by the graph is B

Plot the points

2x - 4/5y ≥ 3

y ≤ 2/5x - 3/2

x             y

0            -3/2

15/4        0

Answer:  0.2487

Step-by-step explanation:

Given:   Mean: [tex]\mu=16.38[/tex] meters

Standard deviation: [tex]\sigma= 1.34[/tex] meters

Let X denote the distance in the triple jump.

The probability that a randomly selected distance from the distribution would fall into interval 16.8 meters and 17.9 meters = [tex]P(16.8<X<17.9)=P(\dfrac{16.8-16.38}{1.34}<\dfrac{X-\mu}{\sigma}<\dfrac{17.9-16.38}{1.34})[/tex]

[tex]=P(0.3134<Z<1.1343)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<1.1343)-P(Z<0.3134)\\\\=0.8717- 0.6230\ [\text{By z-table}]\\\\=0.2487[/tex]

Hence, the probability that a randomly selected distance from the distribution would fall into interval 16.8 meters and 17.9 meters= 0.2487

Answer:

Step-by-step explanation:

Area of the rectangular cardboard = Length * Width ... 1

Given the area of the cardboard = 36-square inches

If the length of the cardboard can be found by dividing its area by its width, then Length = Area/Width ... 2

Given the width to be 4 inches

Length = 36 in²/4 in

Length of the cardboard = 9 inches

Answer:

8 hours

Step-by-step explanation:

25%= 2 hrs

100%=8 hrs

brainliest plsssssssssssssssssssss

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Answer:

the first, second and last option are all correct

Step-by-step explanation:

just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.

a square have two pairs of parallel sides, making the fourth one incorrect

and a square is also a rectangle so the third one is wrong as well!! :)

Answer:

Following are the answer to this question:

Step-by-step explanation:

In the given equation there is mistyping so, correct equation and its calculation can be defined as follows:

Given:

[tex]f(x) =\left\begin{array}{cc} 0&x< 1\\0.5& 1 < x<3\\ 1&3 < x\end{array}\right[/tex]

Calculated value:

[tex]1) \ \ P(x < 3) =1\\\\2) \ \ P(x < 2) = 1-0.5 \\[/tex]

                  [tex]= 0.5[/tex]

[tex]3) P(1 < x < 2) = P( x< 2) -p(x< 1)\\\\[/tex]

                      [tex]=0.5-0\\=0.5\\[/tex]

[tex]4) \ \ P(x> 2)= 1-P(x<2)[/tex]

                  [tex]=1-0.5\\=0.5\\[/tex]

That's why the given equation is true.

The probabilities are:

[tex]1. \:P(x < 3) =1\\2.\: P(x < 2) = 0.5\\3.\: P(1 < x < 2) = 0.5\\4.\: P(x > 2) = 0.5[/tex]

Given function is:

[tex]\[ f(x)= \begin{cases} 0, \: \text{x}< 1\\ 0.5, \: 1 < x < 3\\1, \: x \geq 3\end{cases}\][/tex]

Verification that f(x) is Cumulative distribution function:

1. Since for x > 3, f(x)  = 1, thus we have [tex]\lim_{x \to \infty} f(x) = 1[/tex]

2. Since for x < 1, f(x) = 0, thus we have [tex]\lim_{x \to -\infty} f(x) = 0[/tex]

3. Since values of f(x) are not decreasing as x is increasing, thus f(x) is non decreasing.

4. f(x) is right continuous too.

Thus f(x) is a cumulative distribution function.

The Probabilities are calculated as follows:

[tex]1. \:P(x < 3) = f(3) =1\\2.\: P(x < 2) = f(2) = 0.5\\3.\: P(1 < x < 2) = P(x < 2) - P(x < 1)= 0.5 - 0 = 0.5\\4. \: P(x > 2) = 1 - P(x < 2 \: and \: x = 2) = 1 - 0.5 = 0.5[/tex]

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