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Softa [21]
3 years ago
9

The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency proba

bility that the forecast for tomorrow will be accurate
Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Step-by-step explanation:

the empirical probability is 24/30, or 4/5. this is also the desired probability.

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Which if the following summation notations represent this series?
kati45 [8]

Answer:

E.

Step-by-step explanation:

Let's look at the sequence:

3,8,13,\cdots

The sequence has a common difference. We say it has a common difference because 8-3 has the same value as 13-8.

The common difference is what these differences are equal which is 5.

The sequence is therefore linear or arithmetic (same thing).

So it has form y=mx+b where the slope/common difference is 5.

y=5x+b

We need to find the y-intercept b.

The list of points is related to the above sequence:

(x,y)

(1,3)

(2,8)

(3,13)

I only need one of these points to find b.

Let's use the first one since it has smallest numbers and I don't wish to use the calculator unless I really have to.

y=5x+b with (x,y)=(1,3):

3=5(1)+b

3=5+b

Subtract 5 on both sides:

3-5=b

-2=b

So the equation for the set of points is:

y=5x-2

Now they are using i instead of x[/tex]:

a_i=5i-2

Since all summations begin at i=1, then the choices are done to either choice C and choice E.

I need to find how many terms are in the given series. The last number is 33. So what term number is associated with the value 33.

a_i=5i-2

33=5i-2

Add 2 on both sides:

35=5i

Divide both sides by 5:

\frac{35}{5}=i

7=i

So there are 7 terms and the 7th term is 33.

So the answer is choice E.

5 0
4 years ago
Bus X travels 224 miles in 4 hours. Write the equation of the line that describes the relationship between distance y and time x
nikklg [1K]

Answer:

The answer is 56

Step-by-step explanation:

The equation is Y=56x+4 I think

8 0
3 years ago
The sum of 3 times m and 4 times m <br> M= 6
guapka [62]

Answer:42

Step-by-step explanation:

3 times 6 = 18

4 times 6 = 24

18 + 24 = 42

5 0
4 years ago
Read 2 more answers
A ball is shot straight up from the top of a 15-story building. The motion of the ball could be described by the function: h(t)=
viktelen [127]

Answer:

  • After 4 seconds the height is 480 meters.
  • The maximum height is 484 meters.
  • The ball hits the ground after 10 seconds

Step-by-step explanation:

The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480

The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484

To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

r_1,r_2 = \frac{-144 \, ^+_- \sqrt{144^2-4*(-16)*160}}{2*(-16)} = \frac{-144 \, ^+_- \sqrt{30976}}{-32} = \frac{-144 \, ^+_- 176}{-32} = -1, 10

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.

7 0
3 years ago
Pls, help me there's a lot of problems! Sorry, I'm kinda dumb!
alisha [4.7K]

Answer:

u did'nt put any problems?

Step-by-step explanation:

4 0
3 years ago
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