Y = n(n + 1) please help!!!!

The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) = sin(t) and the speed of the torto

nata0808 [166]

Answer:

b. The difference in the distance traveled by the tortoise and hare during that time.

Step-by-step explanation:

First the intersection points are found out on the graph. Then the area between the curves is found out.

Putting the values

H(t) = sin(t)

H(t) = sin(1) = 0.01745

T(t) = cos(t),

T(t) = cos(1)= 0.9998

As T(t) ≥ H(t)

Area is found out by taking the integral of it.

Area = Integral ( limit 0 to 0.998) T(t)-H(t) dt

The difference represents how far the turtle is from the hare.

So it represents the difference in the distance traveled by the tortoise and hare during that time.

4 0

3 years ago

Justine took samples of the numbers of points scored by two football teams during their games. The data for the samples are show

Delvig [45]

Cougars mean=14
Hawks mean=21
Hawks have a greater average the average is greater by 7 points

5 0

3 years ago

Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant criteria?Tem

Xelga [282]

Answer:

B. No, this distribution does not appear to be normal

Step-by-step explanation:

Hello!

To observe what shape the data takes, it is best to make a graph. For me, the best type of graph is a histogram.

The first step to take is to calculate the classmark`for each of the given temperature intervals. Each class mark will be the midpoint of each bar.

As you can see in the graphic (2nd attachment) there are no values of frequency for the interval [40-44] and the rest of the data show asymmetry skewed to the left. Just because one of the intervals doesn't have an observed frequency is enough to say that these values do not meet the requirements to have a normal distribution.

The answer is B.

I hope it helps!

3 0

3 years ago

What's the best definition of the word "ratio?"

ololo11 [35]

Answer:

Compare

Step-by-step explanation:

Or relation I believe so...

7 0

4 years ago

Help with 8th-grade middle school math show work

ss7ja [257]

Answer:

So for the triangle, we have x = 25 and the angles 45-75-60.

So for the quadrilateral, we have x = 75 and the angles 70-110-75-105.

Step-by-step explanation:

For each of these problems, we can simply add the expressions of the angles given matched to the sum of the angles for the shape given below. Once we do this, we can solve for x, and then state the given measures of each angle of the shapes.

For the triangle:

60 + ( x + 20 ) + 3x = 180

60 + x + 20 + 3x = 180

60 + 20 + x + 3x = 180

80 + x ( 1 + 3 ) = 180

80 + x ( 4 ) = 180

80 + 4x = 180

4x = 100

x = 25

We have the given angles:

x + 20 ==> 25 + 20 ==> 45

3x ==> 3 (25) ==> 75

60

So for the triangle, we have the angles 45-75-60.

For the quadrilateral:

( x - 5 ) + ( x + 35 ) + x + 1.4x = 360

x - 5 + x + 35 + x + 1.4x = 360

35 - 5 + x + x + x + 1.4x = 360

30 + x ( 1 + 1 + 1 + 1.4 ) = 360

30 + x ( 4.4 ) = 360

30 + 4.4x = 360

4.4x = 330

x = 75

So, we have the given angles:

x - 5 ==> 75 - 5 ==> 70

x + 35 ==> 75 + 35 ==> 110

x ==> 75

1.4x ==> 1.4(75) ==> 105

So for the quadrilateral, we have the angles 70-110-75-105.

Cheers.

3 0

3 years ago

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