The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days and a standard deviation of 17 days.

In what range would you expect to find the middle 98% of most pregnancies?

Answer:

The answer is 620,910,000 I worked it out By the way:)

Answer:

620,910,000 - Number form

620.9M+ - Short form

Six hundred twenty million, nine hundred, and ten thousand - Word form

Step-by-step explanation:

1. If you want me to go in full detail, I'll just say that I used a bit of internet search for the word form because I'm dyslexic, but yet I'm here in brainly answering other people's questions.

2. Have a wonderful day to you too!!

Hope this helped! :^)

- ✨7272033Alt✨

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

The solution to the equations are b = 15, b = 22, c = 21 and n = 28

From the question, we have the following equations that can be used in our computation:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

the first one

Step-by-step explanation:

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)

Use the property of proportion to find v:

\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)

\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)

\(u > 0\)

\(u = \sqrt{144} = 12\)

Answer:

y=x+

-2/3

Step-by-step explanation:

y=x+

2

3

Step 1: Flip the equation.

x+

2

3

=y

Step 2: Add (-2)/3 to both sides.

x+

2

3

+

−2

3

=y+

−2

3

x=y+

−2

3

Answer:

\(\frac{2^{20} }{3^{8} }\)

Step-by-step explanation:

Exponent Multiplication Rule :

\((\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }\)

=============================================================

Solving :

⇒ \((\frac{2^{5} }{3^{2} } )^{4}\)

⇒ \(\frac{2^{5(4)} }{3^{2(4)} }\)

⇒ \(\frac{2^{20} }{3^{8} }\)

Answer:

1 answer

Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

100-46=54

Answer:

Step-by-step explanation:

Okay, so you need to create an equation which shows that twice the sum of a number (n) and 7 is 3 times that number. So you need twice the sum of n + 7 and that will equal 3 times n.

2(n + 7) = 3n

Now, multiply

2n + 14 = 3n

2n + 14 -2n = 3n - 2n

14 = n

So the number is 14. Now you can check your answer

2(14 + 7) = 3(14)

2x21 = 42

42 = 42

Answer:

2 * 3 + 4 * 5 = 26

5 * 7 + 1 * 8 = 43

Step-by-step explanation:

Given

_ * _ + _ * _ = _ _

Required

Fill in the boxes with digits 0 to 9

From the question we understand that the result must be two digits i.e. _ _

To solve this, we'll make use of trial by error method:

Fill the first two boxes wit 2 and 3: _ * _ becomes 2 * 3

Fill the next two boxes with 4 and 5: _ * _ becomes 4 * 5

So,we have

2 * 3 + 4 * 5

6 + 20

26

Hence, the first combination is 2 * 3 + 4 * 5 = 26

Another possible combination is:

Fill the first two boxes wit 5 and 7: _ * _ becomes 5 * 7

Fill the next two boxes with 1 and 8: _ * _ becomes 1 * 8

So,we have

5 * 7 + 1 * 8

35 + 8

43

Hence, another combination is 5 * 7 + 1 * 8 = 43

Note that; there are more possible combinations

Answer:

1/4

Step-by-step explanation:

9 divide by 18= 1/4

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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SOLUTION

(a)

f(g(0)) From the table

Hence f(g(0)) = 2

(b)

g(f(9)) from the table

Hence g(f(9)) = 1

(c)

f(f(1))

hence f(f(1)) = 5

(d)

g(g(2))

Hence g(g(2)) = 2

Answer:

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Step-by-step explanation:

Scaling

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

\(\displaystyle \frac{1\ cm}{0.5\ m}\)

to get the scaled dimensions.

The length of 2 meters is scaled to:

\(\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm\)

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

Answer:

A.(-3,4) is your answer.

Step-by-step explanation:

-3x+4

For A:

x=-3

y=4

Plug in 3 where x is and multiply -3 x -3, which equals 0.

Then you plug in 4 where y is, so then your equation is (4=0+4)

Then you add 0 +4, which sum is 4.

Final equation is 4=4, so yes your answer is A. (-3 , 4)

Can you mark me brainliest anwer.

Answer:8

Step-by-step explanation:8x1=8

Answer:

x=  3sqrt2 y=3

Step-by-step explanation:

The triangle is isosceles triangle, which means 2 sides are congruent. Therefore, y =3

using the pythagorean theorem,

3^2+3^2=x^2

9+9=x^2

18=x^2

x=18 sqrt

3sqrt2

Answer:

336 I assume if using PEMDAS

Step-by-step explanation:

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Step-by-step explanation:

The first choice is a quartic trinomial

Using variable concepts, it is found that the player's height is a continuous quantitative variable.

In this problem:

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Answer:

height

Step-by-step explanation:

noballz

Applying the secant-tangent theorem, the length of the diameter is approximately 13.9.

Given the image above that shows a circle containing the diameter, assuming the length of the diameter is x, we can create the following equation based on the secant-tangent theorem:

25² = 19(x + 19)

625 = 19x + 361

625 - 361 = 19x + 361 - 361 [subtraction property]

264 = 19x

Divide both sides by 19:

x ≈ 13.9

The diameter is approximately 13.9.

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Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.