47 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows:
# of Siblings 0 1 2 3 4 5 6
Frequency 4 11 8 10 6 5 3

Round all your answers to 4 decimal places where possible.

The mean is:


The median is:


The sample standard deviation is:


The first quartile is:


The third quartile is:


What percent of the respondents have at least 4 siblings?
%

94% of all respondents have fewer than how many siblings?

Answer:

[tex]b=11, b=17[/tex]

Step-by-step explanation:

To get rid of the parenthesis, distribute:

[tex]b(28-b)=187,\\28b-b^2=187[/tex]

Move all terms to one side and factor:

[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]

Answer:

b = 11, 17

Step-by-step explanation:

=> (28 - b) × b = 187

=> 28b - b² = 187

=> 28b - b² - 187 = 0

=> b² - 28b + 187 = 0

=> b² - 11b- 17b + 187 = 0

{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }

=> b (b - 11) - 17(b - 11) = 0

=> (b- 11)(b - 17) = 0

(b - 11) = 0

=> b = 11

(b - 17) = 0

=> b = 17

therfore,

may be QR also equal to 34

Answer:

a3) x= 83

y= 180-71 = 109

a4) x=53

w= 180-53...

y=x=53

z= 180-y

Answer:

HEYA FRIEND

X-10+190-X

= 180

SO THEY ARE SUPPLEMENTARY ANGLES

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

y+43°= 180°( straight angle)

=>y= 180°-43°

=>y=137°

Given:

Consider the below figure attached with this question.

To find:

The measure of angle 3.

Solution:

According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.

[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]

Using the intersecting secant theorem, we get

[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]

[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]

[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]

[tex]m\angle 3=30^\circ[/tex]

Therefore, the measure of angle 3 is 30 degrees.

Answer: 30 degrees

Step-by-step explanation:

need the points

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft

Answer:

Choice D

Step-by-step explanation:

slope = 1

y = intercept = 4

y = |x| + 4

y = x + 4

USING PYTHAGORAS THEORAM,

x²+3²= 5²

x²+9= 25

x²= 25-9 = 16

x= √16

x= 4

OPTION D

Answer:

Pearson correlation coefficient

Explanation:

The Pearson correlation coefficient, also simply called correlation coefficient measures the linear correlation between two sets of data/variables, independent variables and dependent variable. A correlation coefficient may only be between -1 and 1 where +1 denotes a perfect positive correlation between variables(both variables increase together), 0 is no correlation, and -1 is perfect negative correlation between variables(one decreases while other increases).

The answer to this is C because one X vslue can not have more than y value. 8 has two y values which means that this is not a function, it should only have one.

Probability is 1/36.

The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Two dices were rolled.

Total outcomes in sample space: S = 36

Outcomes which have sum as 12 are E = {(6,6)}

Required Probability: P(E)= 1/36

Hence, Probability is 1/36 of which have sum as 12

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​

Answer:

1/36

Step-by-step explanation:

Answer:

lol ! where is your question?

The answer is −10d4+17d2s−6s2

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let the third number be x , then

[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

Answer:

150 degrees.

Step-by-step explanation:

We know, 1 Hour angles = 15 Degrees

So, 10 hour walking = 10*15 = 150 degrees

Hope this will help. Please mark me brainliest.

Answer:

x = 10

Step-by-step explanation:

[tex]a^{2} +b^2=c^2[/tex]

[tex]6^{2} +8^2=c^2[/tex]

[tex]36+64=100[/tex]

[tex]\sqrt{100}[/tex] = 10

Answer:

[tex]254.5 m^2[/tex]

Step-by-step explanation:

Area of a Circle: [tex]A=\pi r^2[/tex]

The r is the length of the radius of the circle

The radius of the shown circle is 9 m

[tex]A=\pi 9^2[/tex]

[tex]A=81\pi=254.469004941[/tex]

Answer:

254.57 square meters

Step-by-step explanation:

first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.

then we need to know the formula for finding the area of the circle.

which is πr^2 ,value of pie is 3.14

3.14*9*9=254.57.

Answer:

D is the correct answer.

Answer:

-4/5/12

Step-by-step explanation:

-7/2/3 + (-5/1/2) + 8/3/4

-13/1/6 + 8/3/4

-4/5/12

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

Answer:

Step-by-step explanation: D: he portrays april much more negatively.

T. S. Eliot in "The Waste Land" differ in his interpretation of the subject matter from Geoffrey Chaucer in The Canterbury Tales as He portrays April much more negatively. Thus, option D is correct.

The Waste Land emphasizes the moral, cultural, and social deterioration of contemporary society brought on by the commercializing of life and the availability of everything for purchase. Even in the area of love, there is an issue of gain and loss. People no longer have moral principles or beliefs.

Eliot describes a world of desolate panoramas, despair, and spiritual emptiness in his writings, giving readers a somber impression of the earth and those who live there. He also argues that those who live in this world are destined to suffer since they are powerless to change their circumstances.

Therefore, option D is the correct option.

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Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Answer:

the pursuit can affect your hands

Answer:

x= 80

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)

50 = 1/2 ( 20+x)

Multiply each side by 2

2*50 = 20+x

100 =20+x

Subtract 20 from each side

80 =x