The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answer:

48π

Step-by-step explanation:

Given that,

The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Differentiating both sides wrt t.

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]

Put r = 2 cm and dr/dt = 3 cm/minute

So,

[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]

Hence, the correct option is (a) "48π".

Answer:

Sam and Tom

Step-by-step explanation:

5 × 2= 10

6 × 2= 12

5/6= 10/12

Answer:

10 cm

Step-by-step explanation:

Because it is a parrallogram and by its property it will be 10

Answer: Hope this helps! xx have a good day!

Step-by-step explanation:

The equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

A circle is the set of all points in a plane at a given distance (called the radius ) from a given point (called the center.)

We know that the general equation for a circle is

[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex],

where ( h, k ) is the center and r is the radius.

According to the question

The equation of circle given is

[tex]x^{2} + y^{2} = 1[/tex]

Center at origin

i.e

(h,k) = (0,0)

and radius = 1 unit

Now ,

By changing changing center (h,k) and radius of equation it will give following equations

h                      k                       r                            equation of circle

0                       1                       3                        [tex]( x - 0 )^2 + ( y - 1 )^2 = 3^2[/tex]

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

1                        1                        1                         [tex]( x - 1 )^2 + ( y - 1 )^2 = 1^2[/tex]

-2                      -1                       2                        [tex]( x +2 )^2 + ( y + 1 )^2 = 2^2[/tex]

3                       2                       1                         [tex]( x - 3 )^2 + ( y - 2 )^2 = 1^2[/tex]

-5                      1                        3                        [tex]( x +5 )^2 + ( y - 1 )^2 = 3^2[/tex]

Hence, the equations of the corresponding circles can be any equation only have to satisfy the  general equation for  circle .

To know more about general equation for a circle here:

https://brainly.com/question/10618691

#SPJ2

Answer:

D. 5(2.2y + 3.4) = 5(y-2) + 6y

This equation has no solution

Answer:

i think 178 or 156

Step-by-step explanation:

10x6= 60

6x8=48

6x8=48

6x5=35

add all answers= 191

Answer:

400 units

Step-by-step explanation:

15 cm per 3 units which is 5 cm per 1 unit

80 times 5 is 400

Answer:

To find the angle of this triangle you have to [tex]cos^{-1}(\frac{4.87}{5.35})[/tex]. When you do this you will get 24 as the angle

Step-by-step explanation:

Hope this Helped

Answer:

A or B , whether it is dotted or straight line dunno

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

[tex]\frac{PR}{PQ} =\frac{SU}{ST}[/tex]          [tex]\frac{21}{14}= \frac{6}{4}[/tex]

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

[tex]A+B+C=180[/tex]

[tex]46+70+C+180[/tex]

[tex]116+C=180[/tex]

subtract 116 from both sides

[tex]C=64[/tex]

Therefore ∠Q is equal to 64 degrees

Answer:

Please refer to the attachment

Answer:

3. (x + 6)(x + 3)

4. (x-6)(x+2)

Step-by-step explanation:

3. x^2 + 9x + 18

To check if it is factorable, first check the discriminant

b^2 - 4ac

9^2 - 4(1)(18)

81 - 72

9

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to 9 and multiplies to 18

3 and 6 work

Rewrite the equation as

x^2 + 3x + 6x + 18

x(x + 3) + 6(x + 3)

(x + 6)(x + 3)

4. x^2 - 4x - 12

To check if it is factorable, first check the discriminant

b^2 - 4ac

(-4)^2 - 4(1)(-12)

16 + 48 = 64

Since D > 0, there are real number solutions

Now let us try and factor

Find a number that adds to -4 and multiplies to -12

-6 and 2 work

Rewrite the equation as

x^2 - 6x + 2x - 12

x(x - 6) + 2(x - 6)

(x + 2)(x - 6)

Answer:

no solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

(1288/1935, 236/387)

Answer: 625

Step-by-step explanation:

In Vedic mathematics, the numbers containing 5 in the units place can be squared by taking the remaining digit/s and multiply by its successor and then add 25.

Square of 25 is 2*3 = 6 and attach 25, So 25^2 = 625.

Square of 35 is 3*4 = 12 and attach 25, So 35^2 = 1225.

Square of 125 is 12*13 = 156 and attach 25, So 125^2 = 15625.

Square of 95 is 9*10 = 90 and attach 25, So 95^2 = 9025.

From the time I had answered the question asking for the square of 25, the question now appears as what is the square root of 25.

I will answer the revised question as square root of 25 is +5 or -5.

Answer:

1600

Step-by-step explanation:

Answer:

x=2y

2x=4y

percent=(2y/2x)*100%=(x/2x)*100%=50%

Answer:

the answer to this question would be 50%

Answer:

hold yo ablo espanol

Step-by-step explanation:

Let A represent amount of Type A coffee pounds used.  

Let B represent amount of Type B coffee pounds used

A + B = 156  

B = 156 - A  

A = 156 - B

5.80A + 4.65B = 826.60  

580 (156 - B) + 4.65B - 826.60 = 0  

904.8 - 5.80B + 4.65B - 826.60 = 0

904.8 - 1.15B - 826.60 = 0  

78.2 - 1.15B = 0  

78.2/1.15 = 1.15B/1.15

68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

Answer:

56 of the coins are dimes

Step-by-step explanation:

Dimes = D

Quarters = Q

D+Q=102

10D+25Q=1710

-10(D+Q=102)

-10D-10Q=-1020

+10D+25Q=1710

15Q-690

Q=46

D=102-46=56

CHECK 46(25)+56(10)=1150+560=1710 = YES

Answer:

[tex]Visitors = 130000[/tex]

Step-by-step explanation:

Given

[tex]Visitors = 127034[/tex]

Required

Approximate to the nearest ten thousand

First, identify the digit at the ten thousand position

From the given numbers of visitors, the digit is 2.

So, the next digit (which is 7) will be approximated and added to 2.

7 > 5. So, 1 will be added to 2.

The number of visitors becomes:

[tex]Visitors = 130000[/tex]

Answer: 20% is less than 1/4

Step-by-step explanation:

1/4 is 25%

25%> 20%

Answer: less

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

Times the decimal by 100 to get a percent

basically moving the decimal 2 spaces to the right.

Data for the question :

102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79

Answer:

Range = 25.35

Variance = 29.46

Standard deviation = 5.43

The variation in price of Prozac is high

Step-by-step explanation:

The range of the data :

Maximum - Minimum.

121.2 - 95.35 = 25.35

The variance, s :

s² = Σ(X - m²) / n - 1

Mean, m = Σx / n

X = individual data point

m = mean of data

n = sample size

Using a calculator of save time and ensure accuracy :

s² = 29.45522

The standard deviation, s

s = sqrt(variance)

s = sqrt(s²)

s = sqrt(29.45522)

s = 5.42726.

The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;

With a range of about 25.35 and standard deviation of 5.43

Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

4

Step-by-step explanation:

Answer:

67.57%

Step-by-step explanation: 50 is 67.57% of 74.  

Answer

7 and 83

Step-by-step explanation:

Answer:

it is option C

hope it helps

97 And 83

Answer:

Step-by-step explanation:

2. 2c(7c + 1)

3. stays as is

4. 2x^3y^4(4 - 11x^2y^2)

5. ab(10ab + 9b - a)

6. 3m^2(7m^4n^2+2m^2n+5)

7. (a - 8)(a + 8)

8. (y - 17)(y + 17)

9. stays as is

10. (1 - 5n)(1 + 5n)

11. (4x - 7y)(4x + 7y)

12. (w^2 - 10)(w^2 + 10)

13. (c - 9d)(c + 9d)

14. (14a - b)(14a + b)