The track coach at the local high school wanted to know what the average time was for the 100-yard dash for his track team. One day he timed them. He got the following times for the twelve members of the track team: 11, 10.9, 10.8, 9.9, 9.7, 9.8, 10.1, 10.2, 9.8, 10.6, 10.5, and 11.5 seconds. To the nearest tenth, what is the average length of time it takes a member of the track team to complete the 100-yard dash?

I'm mainly asking because I think I have the answer, but I'm not sure I did my math right, so I'm asking to see if someone else gets the same answer I got.


also this isn't a college level question, I don't know why it says that, it's a high school level

The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:

Answer:

Step-by-step explanation:

more info

The factored form of the quadratic equation is expressed as:

(x + (-4))((x + (-7))

The general form of expression of a quadratic function is:

ax² + bx + c = 0

Now, the solution to quadratic equations is given by the quadratic formula:

x = [-b ± √(b² - 4ac)]/2a

Looking at the given division, it is clear that it has been factorized and we have:

x² - 4x - 7x + 28

Factorizing gives:

x(x + (-4)) + (-7)(x + (-4))

Thus, we have the factored form as:

(x + (-4))((x + (-7))

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Answer:

x=-43, y=-12, and z=85

Step-by-step explanation:

There is one characteristic of a rhombus that will help us in this question.  That is that the sides of a rhombus are all equal, and given that one of the sides is 88, then all of the sides are 88 and so by setting all of the expressions equal to 88, we will get the answer.  

Let's start with z:

\(z+3=88\\z+3-3=88-3\\z=85\)

Now for y:

\(-7y+4=88\\-7y+4-4=88-4\\-7y=84\\-y=12\\y=-12\)

That leaves us with x:

\(-2x+2=88\\-2x+2-2=88-2\\-2x=86\\-x=43\\x=-43\)

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

-11 to the power of 3

Step-by-step explanation:

Answer:

5 is the only one that makes sense

Answer:

1 mile every 57 seconds I belive

Step-by-step explanation:

The recurrence relation is dn = 0.4d(n-1) where d1 = 75

The given parameters are:

Since, the medication is eliminated from the blood; then it means that the function is an exponential decay function.

This is represented as:

d(n) = d(n - 1) * (1 - r)

Substitute r = 60%

d(n) = d(n - 1) * (1 - 60%)

Evaluate the difference

d(n) = d(n - 1) * 0.4

Evaluate the product

dn = 0.4d(n-1)

Hence, the recurrence relation is dn = 0.4d(n-1) where d1 = 75

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Answer:

Following are the solution to this question:

Step-by-step explanation:

The answer is "M4,6 is really a set of all 4x6 arrays, because it is shuttered by relation with vector and also particle fractions. Its structure for 4x6 also is M4,6".

this is what you need?if yes than look and write

Answer:

4.right

5. obtuse

6. acute

7. obtuse

8.acute

9. right

10. right

11. acute

12. obtuse

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

B. bisector of an angle.

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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Answer:

Please help me important question in image

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Step-by-step explanation:

Please help me important question Please help me important question in image

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We can not make that a mixed number, its is simplified which makes it a whole number. The answer you are looking for is 3.

Answer:

3

Step-by-step explanation:

15/5=3

Answer:

Its not A!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Its not!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

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

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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Answer:

Step-by-step explanation:

1. x - 2 = 10

x = 10 + 2 = 12

2. 40 = 5x

40/5 = x

x = 8

3. x/2 = 8

Multiply by 2 on both sides

x = 16

4. x + 14 = 24

x = 24 - 14 = 10

5. x + 2 = 10

x = 10 - 2 = 8

6. x/8 = 1

Multiply by 8 on both sides

x = 8

No 2 5 and 6 is the correct answer

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer: It's not balanced because it's less likely to include teens, young adults, and senior citizens in the patron population.

Step-by-step explanation: If wants to get a good sample for the whole "population," she should've taken broader samples of people of all ages.  

Answer:

I think it is B .................

Step-by-step explanation:

Answer:

Step-by-step explanation:

formula : m=(y2-y1)/(x2-x1)

(4 - 8) / (2 - - 5)

-4 / 7

m = -4 / 7 = -0.57143

Answer: a > c

Step-by-step explanation:

(please respond if I'm wrong)

The slope of the line with equation y = ax + b is greater than the slope of the line with equation. y = cx + b. a ≥ c + 1, and a 0 a=c don't make a lot of sense, since it says greater than the slope of y = cx + b.

The only answer that makes most sense is a > c, since a is greater than c.

Hope this helps

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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