The speed of nitrogen molecules in the atmosphere (at 20ºC) follows a normal distribution with a mean speed of 500 meters/second and a standard deviation of 50 meters/second. Which conclusion does this information best support?
A. 84% of the molecules have speeds between 450 meters/second and 550 meters/second.

B. 68% of the molecules have speeds between 450 meters/second and 550 meters/second.

C. 50% of the molecules have speeds between 450 meters/second and 550 meters/second.

D. 34% of the molecules have speeds greater than 550 meters/second.

Answer:

yes

Step-by-step explanation:

Answer:

sin(70°) =10/x

The distance Jeremy jumps from the ramp to the fire escape is 10.6 feet

Step-by-step explanation:

From the question shown in the picture attached, the vertical height Jeremy has to jump is: 15 - 5 = 10 ft

A right triangle is formed, where the angle between the hypotenuse (called x) and one of the legs is: 160° - 90° = 70°, and the vertical height Jeremy has to jump, is the leg opposite to that angle.

From sine definition:

sin(70°) = opposite/hypotenuse

sin(70°) = 10/x

x = 10/sin(70°)

x = 10.6 ft

Answer:

16

Step-by-step explanation:

The median is the average of n + 7 and n + 8 which is n + 7.5. This means that n + 7.5 = 20 so n = 12.5. The average (or mean) is the sum of terms divided by the number of terms. The sum is 10n + 85 and the number of terms is 10, We know that n = 7.5 so the answer is 10 * 7.5 + 85 / 10 = 75 + 85 / 10 = 160 / 10 = 16.

Answer:

21

Step-by-step explanation:

To find the median of the given set, you narrow the options down and get n+7 and n+8 as the middle numbers. The average of those two is n+7.5, so that's the median.

n+7.5=20

n=12.5

Substitute n into the values.

12.5, 14.5, 15.5, 17.5, 19.5, 20.5, 23.5, 26.5, 28.5 and 31.5.

Add everything together to get 210. Divide 210 by 10, the number of values, and you end up with 21.

Answer:a)false.

Sum of 2and p is=2+P

=2+p [since,the value of p is unknown]

Step-by-step explanation:

a) False. The sum of 2 and p is 2+p. We don't have any like terms to combine, so we leave this as is. The sum of two (or more) items is the result of adding them. The expression 2p is the result of multiplying 2 and p. If it said "the product of 2 and p is 2p", then it would be a correct statement.

b) True. Any trinomial is a polynomial, but not the other way around. A polynomial has us sum many monomial terms. A trinomial is a special type of polynomial with exactly 3 terms being added.

Answer:

+3/2 (Answer B)

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to this given line is the negative reciprocal of the slope of the latter:

     -1

------------ = +3/2 (Answer B)

   -2/3

Answer:

D is the correct answer.

Step-by-step explanation:

Distribute (−6x^4 + x^2 − 1)(2x^3 - 4x + 3)

-12x^7 + 24x^5 - 18x^4 + 2x^5 - 4x^3 + 3x^2 - 2x^3 + 4x - 3

Combine Like Terms

-12x^7 + 26x^5 - 18x^4  - 6x^3 + 3x^2 + 4x - 3

Answer:

The answer is 76.9 rounded or rounds.

Step-by-step explanation:

Solution

Given that:

Mean = μ = 72.5

Standard deviation = σ = 6.5

Now

By applying the standard normal table we have the following:

P(Z < z) = 75%

= P(Z < z)

= 0.75

Thus

z =0.67 by using the standard normal z table

Applying the  z-score formula we have:

x = z * σ + μ

x = 0.67*6.5+72.5

x= 76.855 ≈ 76.9

Therefore the cutoff time is 76.9 rounds.

Answer:   a = 2   b = 3   c = 5  

Literally a+ b+c = 10, but I don't think that's what the question means to ask.

the equation is 2x² +3x + 5

Step-by-step explanation:   Substitute the values of the given coordinates into the formula and use algebra (solve a system of equations by substitution and elimination) to get the values  of a,b & c

y=ax²+bx+c    using  (0,5), (1,10), and (2,19)

5=a(0)²+b(0)+c   becomes 5= 0+0 + c .so we find c = 5

10=a(1)²+b(1)+c    becomes 10 = a + b + c

19=a(2)²+b(2)+c .  becomes 19 = 4a + 2b + c

Substitute the 5 for c.  Then rewrite

10 = a + b + 5      becomes     5 = a+ b     to eliminate b multiply this be (-2)

(-2)( 5 = a+ b) .to get -10 = -2a - 2b  

19 = 4a + 2b + 5  becomes   14 = 4a + 2b  

_______________  Add these two

14 = 4a + 2b

-10 = -2a - 2b    this will eliminate the "b" term

4 = 2a       divide both sides by 2   so you have   a = 2  

substitute in 10=a(1)²+b(1)+5 to find b

10=2(1)²+b(1)+5 .becomes  5 = 2 + b   Subtract 2 from both sides

b = 3

So now you have all three values:  

a = 2  b= 3  c = 5  

I am attaching the graph. I hope this deserves Brainiest.

Best wishes in your studies!

Answer:

6400

Step-by-step explanation:

6400/80=80

80+13=93

Hope this Helps

Pls Mark as Brainliest

Your number was 6400 because when 6400/80= 80, Then 80+13= 93.

Division is one of the four basic operations: addition, subtraction, and multiplication are the alternatives 3. department is a simple operation in which a number is split. it's easiest to think about it as a number of items being divided among a sure range of human beings, including inside the above example.

In maths, a division is a technique of splitting a selected amount into the same parts. for instance, we can divide a set of 20 members into 4 agencies of 5 individuals each or five organizations of 4 members every, and so on.

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Answer:

(-1)(7+7+7)

Step-by-step explanation:

I got it right on the test

Answer:

[tex]60^{\circ}[/tex]

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides [tex]=\dfrac{360^{\circ}}{n}[/tex]

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon [tex]=\dfrac{360^{\circ}}{6}=60^{\circ}[/tex]

Since ∠I is an exterior angle of the regular hexagon, therefore, [tex]\angle I=60^{\circ}[/tex].

Answer:

Answer:

60

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon

Since ∠I is an exterior angle of the regular hexagon, therefore, . is 60

Step-by-step explanation:

Answer:

2.09,2.64,2.8,12.06,12.35 and 21.3

Step-by-step explanation:

Answer: 8 cups of trail mix

Step-by-step explanation: Convert 2 1/2, 3 1/4, and 2 2/3 to decimals—2.5, 3.25, and 2.67. Then add them together to get 8.42. You need to round to 8, because you can only have a exact numbers of cups.

Hope this helps:)

The cost of 2 rubber stamps is $2.

We have given that rubber stamps cost $10.30  

we have determined the cost of 2 rubber stamps.

We have to find the price per stamp.

[tex]1 samp price=\frac{cost for all stamp }{total number of stamp}[/tex]

Therefore we get,

10.30/10 = 1.03 per stamp

For two stamps:

1.03 x 2 = $2.06 for two

=$2.06

=$2

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Answer:

HAVE A GOOD DAY!

Step-by-step explanation:

[tex]9 + \frac{8}{3} = \ \\ 11 \frac{2}{3} [/tex]

Answer:

11 2/3

Step-by-step explanation:

9 = 9

8/3 = 2 2/3

9 + 2 = 11

11 + 2/3 = 11 2/3

Answer:

If the data is collected in a biased manner, or the number of observations is too small, the graph could be skewed. To ensure the data is not skewed, collect a large representative unbiased sample. Hope this helps

Step-by-step explanation:

Answer:

98 degrees

Step-by-step explanation:

The measure of angle 1 is  92°

The correct option is B.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

A transversal intersects 2 lines to form 8 angles.

Clockwise from the top left, the angles are blank, 88 degrees, blank, (7 x + 4) degrees;

blank, blank, (7 x minus 2) degrees, blank.

Now, the property of the supplementary angles:

m∠1 + m∠2 = 180°

m∠1 = 180 - 88

m∠1 = 92°

Therefore, the angle measure of angle 1 is 92°.

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Answer:

12 hours per week

Step-by-step explanation:

1. Find how many hours she worked to make $3,000 (36x10=360 hours)

2. divide 360 hours by 30 weeks

she would need to work 12 hours per week to make $3,000

Answer:

-6

Step-by-step explanation:

Answer:

- 938

Step-by-step explanation:

We can change these to positive just so its easier to work with

So 1360 - 422 = 938

since they are going down you just have to change the number to a negative.

The change in elevation is 938 feet.

To find the change in elevation.

The action or fact of raising or being raised to a higher or more important level, state, or position. Elevation is distance above sea level. Elevations are usually measured in meters or feet. They can be shown on maps by contour lines, which connect points with the same elevation; by bands of color; or by numbers giving the exact elevations of particular points on the Earths surface.

Given that:

Dead sea is at an elevation = -1,360 feet.

seabirds flying over the dead sea at an elevation =-422 feet.

Although when you have 2 negative numbers in a subtraction-elevation problem, the elevation difference won't be negative.

So, difference between the depth and the surface of the dead sea

= Dead sea is at an elevation - seabirds flying over the dead sea at an elevation

=-1360-(-422)

=-938 feet.

But that would just describe a regular negative subtraction problem, so it becomes 938 feet.

This answer is positive since it describe the distance between these integers.

So, the change in elevation is 938 feet.

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Answer:

see below

Step-by-step explanation:

x=y+3

Subtract 3 from each side

x-3 = y

y = x-3

y=-4x-3

We have both equations in slope intercept form

y = mx +b where m is the slope and b is the y intercept

graph is below

They both have the same y intercept so they intersect at (0,-3)

Substitution

x=y+3

y=-4x-3

Substitute the second equation into the first equation

x=y+3

x = -4x-3 +3

x = -4x

Add 4x to each side

5x =0

x=0

y = -4x-3

y = 0-3

y = -3

(0,-3)

Additon

x=y+3

Subtract y from each side

x-y = 3

y=-4x-3

Add 4x to each side

4x+y =-3

Add the equations together to eliminate y

x-y = 3

4x+y =-3

-----------------

5x +0y =0

5x = 0

x=0

Now solve for y

y = -4x-3

y = 0-3

y = -3

(0,-3)

Answer:

The linear vertion of 26

Step-by-step explanation:

The parabolic touch x axis just one time. When it happens, the discriminant of the function is zero. ([tex]\Delta = 0[/tex]).

Therefore, the correct option is letter b).

Answer:

zero

Step-by-step explanation:

a pex

Answer: Found it by web and solving

Step-by-step explanation: L = W + 4

LW = 60

---

LW = 60

(W + 4)W = 60

W^2 + 4W + (-60) = 0

---

above is in quadratic equation form: ax^2 + bx + c = 0

---

use the quadratic formula to solve for two solutions:

x = ( -b +- sqrt( bb - 4ac ) ) / 2a

---

the two solutions are:

W = 6

W = -10

the negative solution doesn't make sense for length, so use the positive solution.

---

L = 10

W = 6

Answer:

x = -5

Step-by-step explanation:

Given that it is a vertical line, we know that it will only go through one x-value.

We are also given a point, (-5, -3).

This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.

Answer:

Perpendicular (A)

Step-by-step explanation:

First find the gradient of the first line:

Change in y/ Change in x =  -7-(-2)/ -9-(-12) = -5/3

Now find the gradient of the second line:

9-6/1-6 = -3/-5 = 3/5

When we multiply the gradient of two perpendicular lines we will get:

m1 x m2 = -1

If we multiply 3/5 and -5/3 we will get -1

Therefore it is perpendicular!

Answer:

To plot a negative x you would go left and for a positive y you would go up so the answer is 4 left, 4 up.