A sector with a central angle measure of 200 degrees has a radius of 9 cm. What is the area of the sector?

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

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:

25872 ways

Step-by-step explanation:

We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:

n!/(k!)(n-k)! with n as population and k as picks.

We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)

That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)

56 * 462 = 25872

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:

8 hours

Step-by-step explanation:

25%= 2 hrs

100%=8 hrs

brainliest plsssssssssssssssssssss

       -zylynn

Answer:

$ 154

Step-by-step explanation

Let the value of suitcase=x

x × 4.5% = 6.93 (converted the question into equation)

x × [tex]\frac{4.5}{100}[/tex] = 6.93 (converted the percentage into fraction)

x = 6.93 x [tex]\frac{100}{4.5}[/tex] (took reciprocal of 4.5/100 after moving it to the other side of the equation)

x = [tex]\frac{693}{4.5}[/tex] (multiplied the values)

x = 154 $ (simplified the fraction)

make it the brainliest and get 20 years of luck : )

Answer:

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]

And for this case the value of x represent the cost of the suitcase and solving we got:

[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]

Step-by-step explanation:

Let x the original cost and we also knwo that the tax is 4.5%.

We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:

[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]

And for this case the value of x represent the cost of the suitcase and solving we got:

[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]

Answer:

d. y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

Which inequality is equivalent to this one?

y minus 8 less-than-or-equal-to negative 2

y minus 8 + 8 greater-than-or-equal-to negative 2 + 8

y minus 8 + 8 less-than negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 8

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Take the last option:

y minus 8 + 2 less-than-or-equal-to negative 2 + 2

remove the +2 on each side to get

y minus 8 less-than-or-equal-to negative 2

Answer:

[tex]\boxed{y - 8 + 2\leq - 2 + 2}[/tex]

Step-by-step explanation:

Which inequality is equivalent to this one:

[tex]y - 8 \leq - 2[/tex]

[tex]y - 8 + 8\geq - 2 + 8[/tex]

[tex]y - 8 + 8< - 2 + 8[/tex]

[tex]y - 8 + 2 \leq - 2 + 8[/tex]

[tex]y - 8 + 2\leq - 2 + 2[/tex]

Let’s take the last inequality.

[tex]y - 8 + 2\leq - 2 + 2[/tex]

Subtract 2 on both sides.

[tex]y - 8 + 2-2\leq - 2 + 2-2[/tex]

[tex]y - 8 \leq - 2[/tex]

The inequality is equivalent.

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:

x = 25

Step-by-step explanation:

We have 2 similar triangles:

1) with hypotenuse 15 and short leg 9,

2) with hypotenuse x and short leg 15.

For similar triangles we can write a proportion for corresponding sides.

hypotenuse 1: leg1 = hypotenuse 2 : leg 2

15 : 9 = x : 15

9x = 15 * 15

x = 15*15/9

x = 25

Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

Answer:

The  confidence interval is     [tex]0.20644 < p <0.36984[/tex]

Step-by-step explanation:

From the question we are told that

     The  sample is n  = 118

     The  confidence level is  C   =  95 %  

     The  number of people with high blood pressure is  k  =  34

The proportion of those with high blood pressure is evaluated as

          [tex]\r p = \frac{k}{n}[/tex]

substituting values

        [tex]\r p = \frac{34}{118}[/tex]

       [tex]\r p = 0.288136[/tex]

Given that the confidence level is 95%  then the level of significance is evaluated as

       [tex]\alpha = 100 -95[/tex]

      [tex]\alpha = 5[/tex]%

     [tex]\alpha = 0.05[/tex]

Now the critical values of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/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 95% 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

 Now the margin of error is evaluated as

      [tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p)}{n} }[/tex]

substituting values

      [tex]MOE = 1.96 * \sqrt{\frac{ 0.288136 (1- 0.288136)}{118} }[/tex]

      [tex]MOE = 0.0817[/tex]

Thus the 95% confidence interval for the true percentage of all adults that have high blood pressure is evaluated as

      [tex]\r p - MOE < p < \r p + MOE[/tex]

substituting values

      [tex]0.288136 - 0.0817 < p <0.288136 + 0.0817[/tex]

     [tex]0.20644 < p <0.36984[/tex]

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.

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:

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

66.7

you will get the answer

Answer:

66.7

Step-by-step explanation:

The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.

The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.

Finally, you add both of the distances. (42.6 + 24.1)

You get the answer 66.7 kilometers.

Hope this helps!

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.

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:

x = 49/15

Step-by-step explanation:

15x - 30 x 0 + 40 = 89           PEMDAS

15x + 40 = 89        Isolate the variable

15x = 49      

x = 49/15

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 49/15 or 3 4/15 or 3.26

▹ Step-by-Step Explanation

15x - 30 * 0 + 40 = 89

15x - 0 + 40 = 89

15x + 40 = 89

15x = 89 - 40

15x = 49

x = 49/15 or 3 4/15 or 3.26

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Its B and D

Step-by-step explanation:

Because thats where the points intersects/meet.

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: 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:

The correct answer is the first one.

Step-by-step explanation:

Let's analyse the effect of each modification in the function.

The value 6 multiplying the cot function means a vertical stretch.

The value of 3 multiplying the x inside the function is a horizontal compression, which causes the period to be 3 times lower the original period.

The original period of the cotangent function is pi, so the horizontal compression will make the period be pi/3.

The value of -pi/2 inside the cotangent function normally causes a horizontal shift of pi/2 to the right, but the x-values were compressed by a factor of 3 (horizontal stretch), so the horizontal shift will be 3 times lower: (pi/2) /3 = pi/6

And the value of 4 summing the whole equation is a vertical shift of 4 units up.

So the correct answer is the first one.

Answer:

option 1

Step-by-step explanation:

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:

it is the inches milimeters meters

Answer:

Step-by-step explanation:

Given,

Volume of cone ( v ) = 27 π

Radius ( r ) = 3 cm

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone = [tex] \frac{\pi {r}^{2}h }{3} [/tex]

plug the values

[tex]27\pi = \frac{\pi \: {3}^{2} \: h \: }{3} [/tex]

Evaluate the power

[tex]27\pi = \frac{\pi \times 9 \times h}{3} [/tex]

Divide 9 by 3

[tex]27\pi = 3\pi \: h[/tex]

Divide both sides of the equation by 3π

[tex] \frac{27\pi}{3\pi} = \frac{3\pi \: h}{3\pi} [/tex]

Calculate

[tex]9 = h[/tex]

Swipe the sides of the equation

[tex]h = 9[/tex] cm

Hope this helps..

Best regards!!

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]

Learn more here:

https://brainly.com/question/19884447

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".

For more about permutation and combination,

https://brainly.com/question/13387529

#SPJ2

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:

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