the average mark of candidates in an aptitude test was 138.5 with a standard deviation of 10.6. three scores extracted from the test are 178,122,100.what is the average of the extracted scores that are extreme value

Answer:

$7875

Step-by-step explanation:

1 Month      4000 Paid

2 Months    2000 Paid

3 Months     1000 Paid

4 Months     500 Paid

5 Months      250 Paid

6 Months       125 paid

Total = $7875 Paid

Hope this helped ;)

Answer: 5^5

Step-by-step explanation:

Since 5x5x5x5x5 = 3,125

Answer:

The probability that all four received a raised when they asked for one is 0.370.

Step-by-step explanation:

Let the random variable X represent the number of business executives who received a pay raise when they asked for one.

The probability that a business executives received a pay raise when they asked for one is, p = 0.78.

A random sample of n = 4 executives was selected.

The events of any executive receiving a pay raise when they asked for one is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 4 and p = 0.78.

The probability mass function of X is:

[tex]P(X=x)={4\choose x}\ (0.78)^{x}\ (1-0.78)^{4-x};\ x=0,1,2,3...[/tex]

Compute the probability that all four received a raised when they asked for one as follows:

[tex]P(X=4)={4\choose 4}\ (0.78)^{4}\ (1-0.78)^{4-4}[/tex]

                [tex]=1\times 0.37015056\times 1\\\\=0.37015056\\\\\apporx 0.370[/tex]

Thus, the probability that all four received a raised when they asked for one is 0.370.

Answer:

A.

Step-by-step explanation:

Since they are similar, hence taking proportionality,

CA/CB = d1/d2

Cross Multiplying

We get

CA × d2 = CB × d1

OR

d1×CB = d2 × CA

Answer:

<1 = 91

Step-by-step explanation:

<2 + <3 = 180

5 x + 14 +  (7 x -14) = 180

Combine like terms

12x = 180

Divide by 12

12x/12 = 180/12

x =15

We want <1

<1 = <3 since they are vertical angle

<1 = 7x-14 = 7*15 -14 =105-14=91

Answer:

D, 91 degrees

Step-by-step explanation:

First, solve for x. Angles 2 and 3 add up to 180, so set up an equation:

(5x + 14) + (7x - 14) = 180

12x = 180

x = 15

Then, you know angles 1 and 2 also add up to 180, so solve for Angle 2

5(15) + 14= 89

180-89= 91, so angle 1 is 91 degrees.

Answer: (-∞, 2)∪(2, 3]∪(4, ∞)

Step-by-step explanation:

Domain is the allowed x values in the function. The numerator, x + 1 will be defined for all numbers. But that fraction wont be, the minute that fractions denominator is equal to zero, your entire function becomes undefined.

So lets figure out what number will make this undefined. Then we'll know the functions domain is everywhere but that x value.

Make x^2 - 6x + 8 = 0

What two numbers multiply to equal +8 but add to equal -6? Thats -4 and -2.

(x - 4)(x - 2) = 0 This means the function is undefined when x equals 4 and 2

(-∞, 2)∪(2, 3]∪(4, ∞)

Answer:

D Edg

Step-by-step explanation:

all real numbers except 2 and 4

Answer:

20:30 goes to 8:12

the rest goes to 6:18

Step-by-step explanation:

i may be wrong

Answer:

7:12 is equivalent to 6:18

20:30 is equivalent to 8:12

5:15 is equivalent to 6:18

Step-by-step explanation:

plz mark brainliest

Answer:

(1)0.0138

(2)A. If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

Nos 3-12: See Explanation

Step-by-step explanation:

Given the regression equation for the relation of dive duration (DD) to depth (D).

[tex]DD = 2.69 + 0.0138D\\$Where: Duration DD is measured in minutes\\epth D is in meters.[/tex]

(1)The slope of the regression lie =0.0138

(2)

When D=1, DD = 2.69 + 0.0138(1)=2.7038

When D=2, DD = 2.69 + 0.0138(2)=2.7176

2.7176-2.7038=0.0138

Therefore, If the depth of the dive is increased by one meter, it adds 0.0138 minutes to the time spent under water.

(3) When depth, D =200 meters

DD = 2.69 + 0.0138(200)=5.45 Minutes

(4) When depth, D =210 meters

DD = 2.69 + 0.0138(210)=5.588 Minutes

(5) When depth, D =220 meters

DD = 2.69 + 0.0138(220)=5.726 Minutes

(6) When depth, D =230 meters

DD = 2.69 + 0.0138(230)=5.864 Minutes

(7) When depth, D =240 meters

DD = 2.69 + 0.0138(240)=6.002 Minutes

(8) When depth, D =150 meters

DD = 2.69 + 0.0138(150)=4.76 Minutes

(9) When depth, D =160 meters

DD = 2.69 + 0.0138(160)=4.898 Minutes

(10) When depth, D =170 meters

DD = 2.69 + 0.0138(170)=5.036 Minutes

(11) When depth, D =180 meters

DD = 2.69 + 0.0138(180)=5.174 Minutes

(12) When depth, D =190 meters

DD = 2.69 + 0.0138(190)=5.312 Minutes

A regression line is only a single line that fits the data the best. It tells how steep it is, whereas the intercept reveals where it intersects an axis.

For question 1):

By calculating the slope of the regression line we get the slope value that is [tex]= 0.0138[/tex]

For question 2):

Describe whatever this slope means about this penguin's dives in precise terms.

The time spent under liquid increases by 0.0138 minutes whenever the diving depth is raised by one meter, which is equal to "Option A".

For question 3):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times200 = 2.69+2.76 = 5.45\ minutes[/tex]

For question 4):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times210 = 2.69 + 2.898 = 5.588\ minutes[/tex]

For question 5):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 220 = 2.69 + 3.036 = 5.726\ minutes[/tex]

For question 6):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times230 = 2.69 + 3.174 = 5.864 \ minutes[/tex]

For question 7):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times240 = 2.69 + 3.312 = 6.002\ minutes[/tex]

For question 8):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 150 = 2.69 + 2.07 = 4.76\ minutes[/tex]

For question 9):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 160 = 2.69 + 2.208 = 4.898\ minutes[/tex]

For question 10):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 170 = 2.69 + 2.346 = 5.036\ minutes[/tex]

For question 11):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 180 = 2.69 + 2.484 = 5.174 \ minutes[/tex]

For question 12):

Calculated equation:

[tex]\to DD = 2.69 + 0.0138\times 190 = 2.69 + 2.622 = 5.312\ minutes[/tex]

Find out more about the regression line here:

brainly.com/question/7656407

Answer:

B and C

Step-by-step explanation:

The correct option are

B) a cross section of rectangular pyramid perpendicular to the base

C) a cross section of a rectangular prism that is parallel to it's base

Answer: Area = 490.87  meters

Step-by-step explanation:

A=πr2

r = 12.5 (1/2 of diameter)

A = 490.87  meters

Step-by-step explanation:

We know that the formula to find the area of a circle is πr^2 or in other words, pi times the radius squared. We have been given the diamter of 25 inches. We know that the diamater is double the radius. 25 divided by 2 will get us 12.5. If we write this in equation form (or substitute the variables) will be written as: (3.14)12.5^2, 3.14 being pi. Now, we would multiply the radius by radius (because it's squared) or in other words, (12.5*12.5) to equal 156.25. If we write this in equation form, we would get: 3.14(156.25). Now we finally multiply pi (3.14) times 156.25 to equal 490.625 or rounded to the tenth 490.6

Answer:

Step-by-step explanation:

[tex](x-3)^2=49[/tex]

<=>

[tex](x-3)^2-49=0\\\\<=> (x-3)^2-7^2=0\\\\<=> (x-3-7)(x-3+7)=0\\<=> (x-10)(x+4)=0\\<=> x -10=0\ or \ x+4=0\\<=> x = 10 \ or\ x = -4[/tex]

solutions are -4 and 10

do not hesitate if you need further explanation

if you like my answer, tag it as the brainliest :-)

Answer:

[tex] \bar X = \frac{\sum_{i=1}^{42} X_i}{n}[/tex]

And for this case the sample mean is

[tex]\bar X = 127.1[/tex]

And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since [tex] E(\bar X) =\mu[/tex], and the best option would be:

D) The given value is a statistic for the year because the data collected represent a sample.

Step-by-step explanation:

For this case we know that a homeowner take a random sample of 42 voltage values ina year and he calculate the sample mean with this formula:

[tex] \bar X = \frac{\sum_{i=1}^{42} X_i}{n}[/tex]

And for this case the sample mean is

[tex]\bar X = 127.1[/tex]

And this value is calculated from a sample so then can't represent a population parameter. Then the value 127.1 represent a statistic called the sample mean unbiased for the true population mean since [tex] E(\bar X) =\mu[/tex], and the best option would be:

D) The given value is a statistic for the year because the data collected represent a sample.

Answer:

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 84

Standard deviation r = 4.5

Number of samples n = 45

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

84+/-1.645(4.5/√45)

84+/-1.645(0.670820393249)

84+/-1.10

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

Answer:

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   [tex]x = \frac{1}{\sqrt{2} }[/tex]  

Step-by-step explanation:

Step(i):-

Given function

                       [tex]f(x) = \frac{-x}{2x^{2} +1}[/tex]     ...(i)

Differentiating equation (i) with respective to 'x'

                     [tex]f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }[/tex]   ...(ii)

                    [tex]f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }[/tex]

Equating Zero

                   [tex]f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0[/tex]

                 [tex]\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0[/tex]

                [tex]2 x^{2}-1 = 0[/tex]

               [tex]2 x^{2} = 1[/tex]

             [tex]x^{2} = \frac{1}{2}[/tex]

             [tex]x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }[/tex]

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

[tex]f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }[/tex]

put

      [tex]x = \frac{1}{\sqrt{2} }[/tex]

[tex]f^{ll} (x) > 0[/tex]

The absolute minimum value at   [tex]x = \frac{1}{\sqrt{2} }[/tex]

Step(iii):-

The value of absolute minimum value

                         [tex]f(x) = \frac{-x}{2x^{2} +1}[/tex]

                       [tex]f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}[/tex]

         on calculation we get

The value of absolute minimum value = - 0.3536      

Final answer:-

a) The value of absolute minimum value = - 0.3536  

b) which is attained at   [tex]x = \frac{1}{\sqrt{2} }[/tex]    

Answer:

(a) 17/20 b.5/18/25 c. 1.255

Answer:

The probability that either Alex or Bryan get an A is 0.9

Step-by-step explanation:

Before we proceed to answer, we shall be making some important notation;

Let A = event of Alex getting an A

Let B = event of Bryan getting an A

From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩ [tex]B^{c}[/tex] ) = 0.1

We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)

We can use the addition theorem here;

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)  .......................(i)

Also,

P(A) = P(A ∩ [tex]B^{c}[/tex] )  +   P(A ∩ B)   .........................(ii)

We can insert ii into i and we have;

P(A ∪ B) =  P(A ∩ [tex]B^{c}[/tex] )  +   P(A ∩ B)  + P(B) - P(A ∩ B) =   P(A ∩ [tex]B^{c}[/tex] ) + P(B) = 0.1 + 0.8 = 0.9

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

1 + 1

= 2

1+1

= THIS THING

Answer:

95.69%

Step-by-step explanation:

We have X is the number of parts produced up to (and including) the first slightly defective part. So, X is Geometric (2/92), which would be the following:

P (X => 3) = Summation i = 3, up to infinity of {[(90/92)^(i-1)] * (2/92)}

We replace and solve and we are left with:

P (X => 3) = (2/92) * (90/92)^(3-1) * 1/(1 - 90/92)

P (X => 3) = 0.9569

Which means that the probability that at least 3 parts must be produced until there is a slightly defective part produced is 95.69%

Answer:

13

Step-by-step explanation:

We can add 1 to both sides of the second equation and divide by 2 to get

x = (y-1)/2

We can then substitute x in the first equation to get

(y-1)/2 + 7 = 2y

Multiply by 2

y-1 + 14 = 2y

Subtract y and combine like terms

y = 13

Answer:

[tex]\frac{56}{96}[/tex] is your answer

Step-by-step explanation:

[tex]\frac{7}{12}[/tex]=[tex]\frac{x}{96}[/tex]

to get to 96 you must multiply by 8

and since you did that for the bottom then you need to do the same for the top,

[tex]\frac{56}{96}[/tex] is your answer

Answer:

B=25

Step-by-step explanation:

Answer: 3 hours and 18 minutes.

Step-by-step explanation:

Answer:

D Y is all real numbers

Step-by-step explanation:

When looking at the y axis, you can see that if the graph were to be bigger, the line would keep going. This means y will never stop.

Answer:18

Step-by-step explanation:

first : 8-2 =6 gallons

he gave 6 to 7 students

then he needs : 18 gallons for 21 students

Answer:

See the explanation

Step-by-step explanation:

If and event can occur in A number of way and fail in B number of ways, then probability of its occurrence is:

[tex]P(A)= \frac{A}{A+B}[/tex]

or probability of its failing is:

[tex]P(B)=\frac{B}{A+B}[/tex]

Rolling a number smaller than 3 in a dice.

A= 2 (1,2)

B = 4 (3,4,5,6)

[tex]P(A)= \frac{2}{2+4}=\frac{1}{3}[/tex]

Definition of Probability in terms of past performances (data). It can be taken as how often things happens divided by all outcomes.

A batter has 50 safe hits at 200 bats, which makes his batting average [tex]\frac{50}{200}= 0.25[/tex] which is the probability.

When you define a probability due to personel beleif in the likelihood of an outcome. It involve no formal calculations and varies from person to person, depending on their past experience.

A person beleives that probability that the batter will hit safely in the next bat is 0.75

Answer:

8

Step-by-step explanation:

just do the comparation

Vb : Vs

b for big and s for small

4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)

Vb : Vs = rb³ : rs³

Vb : Vs = (2rs)³ : rs³

Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)

Vb : Vs = 8 : 1

so Vb is 8 times larger in volume than the small one

Answer:

# of pages   # of magazines

     1-20                    7

   21-40                    4

Step-by-step explanation:

Numbers 1 through 20:

10, 11, 14, 16, 17, 17, 20 (7 numbers)

Numbers 21 through 40:

21, 28, 29, 32 (4 numbers)

Answer:

0.0908 [tex]m^{2}[/tex] (to 3 S.F.)

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

π * [tex]17^{2}[/tex] = 907.92

= 908 [tex]cm^{2}[/tex]

=0.0908 [tex]m^{2}[/tex]

Answer:

Let's call the amount of 90% solution x.

We can write:

45% * 525 + 90%x = 55%(x + 525)

0.45 * 525 + 0.9x = 0.55(x + 525)

Solving for x we get x = 150 so the first blank is 150 and the second blank is 525 + 150 = 675.