If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?


A) 1.98

B) 2.00

C) 3.92

D) 4.00

Answer:

\( {x}^{2} - 16 = 0 \: is \: the \: equation\)

Step-by-step explanation:

\(x = - 4 \\ or \: x = 4\)

\((x + 4) = 0 \: or \: (x - 4) = 0 \\ (x + 4)(x - 4) = 0 \\ open \: the \: bracket\)

\(x(x - 4) + 4(x - 4) = 0\)

\( {x}^{2} - 4x + 4x - 16 = 0 \\ {x}^{2} - 16 = 0\)

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

Answer:

The answer would be 15 miles

Step-by-step explanation:

you set up a ratio and multiply 2.5 by 6

Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

The prevalence of asthma on January 1, 2019 is 0.055, the prevalence of asthma on September 1, 2019 is 0.080, the incidence of asthma between January 1 and September 1 is 0.025, there is not possible to calculate asthma incidence rate for the year 2018.

Prevalence is the formula to determine the rate of some case based on population. This can be calculated by divide the case by the population.

Incidence rate is same as prevalence in some factor except it only calculate time range and for this case it have same formula which is we can calculate incidence rate by divide the case by the population.

So, for January 1, 2019 is

Prevalence = 1,098 / 19,800

= 0.055

For September 1, 2019 is

Prevalence = (1,098 +  new 495) / 19,800

= 1,593 / 19,800

= 0.080

For incidence of asthma between January 1 and September 1 is

Incidence = 495 / 19,800

= 0.025

For 2018 because we are not provided with data for that year so it is impossible to calculate it.

Thus, the prevalence in January 1 is 0.055, September 1 is 0.080, and incidence between January 1 and September 1 is 0.025, and also there is not possible to calculate asthma incidence rat for the year 2018.

Learn more about prevalence here:

brainly.com/question/28173282

#SPJ4

Answer:

(24x - 48y + 10) / 26 = a

Step-by-step explanation:

-12(-2x+4y) = 26a - 10

24x - 48y = 26a - 10

24x - 48y + 10 = 26a

(24x - 48y + 10) / 26 = a

y = 14x +7

Step-by-step explanation:

-14x+y=7

+14x +14x

y=14x+7

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Answer:

Step-by-step explanation:

Suppose u = i + j = \(\Big \langle 1,1,0 \Big\rangle\) & v = j + k = \(\Big \langle 0,1,1 \Big\rangle\)

The direction vector for the line u*v is:

\(u\times v = \left |\begin{array}{ccc}i&j&k\\1&1&0\\0&1&1\end {array} \right|\)

= (1-0) i - (1 - 0)j + ( 1- 0) k

= i - j - k

= \(\Big \langle 1,-1,1 \Big\rangle\)

Hence, the equation of the line via the point (5,4,0 ) and the direction vector \(\Big \langle 1,-1,1 \Big\rangle\) is as follows:

r(t) = (5,4,0) + t\(\Big \langle 1,-1,1 \Big\rangle\)

r(t) = (5+t, 4-t, t)

The symmetric equations of the line are:

\(\dfrac{x-5}{1}= \dfrac{y-4}{-1} = \dfrac{z}{1}\)

x - 5 = -(y-4) = z

The parametric equation of the line is:

\(\dfrac{x-5}{1}= \dfrac{y-4}{-1} = \dfrac{z}{1}= t\)

x = 5 + t , y = 4 - t , z = t

The area of the triangle, Rounded to the nearest hundredth, is approximately 132.02 cm².

The area of a triangle with the given measurements, we can use the formula for the area of a triangle using side lengths and an included angle. The formula is:

Area = (1/2) * a * c * sin(B)

where a and c are the side lengths, B is the included angle between those sides, and sin(B) represents the sine of angle B.

Let's calculate the area using the given measurements:

B = 103° (included angle)

a = 12 cm

c = 22 cm

First, we need to convert the angle from degrees to radians, as the sine function operates on radians. We can use the conversion: radians = degrees * (π/180).

B in radians = 103° * (π/180) ≈ 1.8 radians

Next, we can substitute the values into the formula:

Area = (1/2) * a * c * sin(B)

     = (1/2) * 12 cm * 22 cm * sin(1.8 radians)

Using a calculator, we can evaluate sin(1.8 radians) ≈ 0.9833.

Area ≈ (1/2) * 12 cm * 22 cm * 0.9833

       ≈ 132.02 cm² (rounded to the nearest hundredth)

Therefore, the area of the triangle, rounded to the nearest hundredth, is approximately 132.02 cm².

Among the given options, the closest match is:

b) 132 cm² (rounded to the nearest whole number)

For more questions on Rounded .

https://brainly.com/question/27207159

#SPJ8

Answer:

Step-by-step explanation:

You want a sequence of transformations that maps ∆ABC to ∆A'B'C' where the vertices are A(-5, 3), B(-2, 3), C(-4, 1), A'(8, -2), B'(5, -2), and C'(7, 0).

Segment AB is a 3-unit line segment directed to the right. Segment A'B' is a 3-unit line segment directed to the left. This means there is no dilation involved in the transformation. At least, the figure has been reflected left-to-right.

Point C is below segment AB, while point C' is above segment A'B'. This means the figure has also been reflected top-to-bottom.

Together these reflections can be accomplished by either of reflection across the origin, or rotation 180° about the origin.

The reflected figure would leave A' at (5, -3). Its location at (8, -2) means the figure has also been translated to the right and up.

Translation to the right has been by 8 -5 = 3 units.

Translation up has been by -2 -(-3) = 1 unit.

Triangle ABC can be transformed to triangle A'B'C' by ...

The corresponding ordered-pair rules for these transformations are ...

__

Additional comment

The single transformation that will accomplish the mapping is ...

  (x, y) ⇒ (3 -x, 1 -y) . . . . . reflection across the point (3/2, 1/2)

The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

learn more about inverse variation from

https://brainly.com/question/13998680

#SPJ1

hello

according to metric table

1 decagram = 1000 centigram

Joni's mistake was not multiplying by 1000

the answer is option B

Answer:

B

Step-by-step explanation:

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

Answer:

Well B is 6 and c is 12. So if you are finding out line segment Bc then all you have to do is combine bot h B and C. So you would get 6x12. If you could peroxide a graph that would be great.

So therefore the answer is 12

Step-by-step explanation:

Answer:

The change in temperature is -13°F.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Therefore, -13°F is the change.

The value of x using the concept of supplementary angles is; 26

Supplementary angles are defined as two angles that add up to 180 degrees.

For example, If a and b are supplementary angles then, it means that;

a + b = 180°

In this question, we are given that ∠1 ​ and ∠2 are supplementary. Thus;

If m∠1 = 124° and m∠2 = (2x + 4)°, then we have;

124° + (2x + 4)° = 180°

180 - 124 = 2x + 4

2x = 180 - 124 - 4

2x = 52

x = 52/2

x = 26

Read more about Supplementary angles at; https://brainly.com/question/2046046

#SPJ1

Answer:

33/24  or 11/8, or  1 9/24 or 1 3/8

Step-by-step explanation:

you have to find a common denominator between the two fractions. The least common denominator for 9 and 8 is 24. Since you multiply 9 by 3 to get 24, you multiply 5 by 3 and get 15. You now have the fraction 15/24. Since you multiply 8 by 3 to get 24, you also multiply 6 by 3, which is 18. You now have the fraction 18/24. You add 15/24 and 18/24, and you get 33/24, which can be simplified to 11/8. It can be shown as 1 9/24 as a mixed number, and simplified to 1 3/8.

Answer:

164.73 cm²

Step-by-step explanation:

Area of the shaded area = area of semi-circle - area of the triangle

Area of the semi-circle:

Area = ½(πr²)

r = ½ of 34 = 17 cm

π = 3.14

Area = ½(3.14 × 17²)

Area = 453.73 cm²

Area of the triangle:

Area = ½*b*h

b = 34 cm

h = 17 cm

Area = ½ × 34 × 17

Area = 289 cm²

Area of the shaded area = 453.73 - 289 = 164.73 cm²

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

Answer:

3, 5, 7, 9

Step-by-step explanation:

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The surface area of the two hemispheres combined is 100π square meters, and the volume of the two hemispheres combined is (500/3)π cubic meters.

The circumference of a great circle on a sphere is given by the formula C = 2πr, where r is the radius of the sphere.

In this case, we are given that the circumference of the great circle is 10π meters, so we can set up an equation:

10π = 2πr

Dividing both sides by 2π, we get:

r = 5

So the radius of the sphere is 5 meters.

When the sphere is cut in half, we get two equal hemispheres. The surface area of a closed hemisphere is given by the formula A = 2πr^2, where r is the radius of the hemisphere.

Since we are dealing with a radius of 5 meters, the surface area of one hemisphere is:

A = 2π(5^2) = 50π

Therefore, the surface area of the two hemispheres combined is:

2A = 2(50π) = 100π

The volume of a closed hemisphere is given by the formula V = (2/3)πr^3. Again, since we are dealing with a radius of 5 meters, the volume of one hemisphere is:

V = (2/3)π(5^3) = (2/3)π125 = (250/3)π

Therefore, the volume of the two hemispheres combined is:

2V = 2(250/3)π = (500/3)π

To learn more about the surface area of the sphere;

https://brainly.com/question/14692728

#SPJ1

Answer:

Part B: v+w=161.42i+136.36j

Part C: 211.3 mph

Explanation:

Part A

• The velocity of the plane in still air, v = 178 miles per hour.

• The angle v makes with the x-axis = 90°-40° = 50°

Therefore, vector v in terms of its magnitude and direction cosine is:

Similarly:

• The velocity of the wind, w = 47 miles per hour.

• The angle w makes with the x-axis = 0°

Therefore, vector w in terms of its magnitude and direction cosine is:

The correct option is A.

Part B

From part A:

Therefore, the resultant vector, v+w is:

Part C

The magnitude of v+w, called the ground speed, gives its speed relative to the ground.

The ground speed is 211.3 mph (rounded to the nearest tenth).

Answer:

Step-by-step explanation:

-2/3 needs to be multiplied by the reciprocal of 1/2

(-2/3)*(2/1)=-4/3= -1 1/3