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tia_tia [17]
3 years ago
12

At a 200 meter swimming competition bill got a personal record of 45 seconds and Tim was 5 seconds faster then bill at the compe

tition what was the speed for Tim at the competition ?
Mathematics
1 answer:
Kitty [74]3 years ago
5 0
It’s 5m or 5 wtv the distance le speed it is. But it’s 5.
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Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

5 0
3 years ago
Lauren paid $16.74 for sliced turkey at the deli counter. The turkey cost $6.20 per pound. How much turkey did Lauren buy? Round
nirvana33 [79]

Answer:

2.7 pounds

Step-by-step explanation:

16.74/ 6.20= 2.7

7 0
3 years ago
IF THE TRIANGLES IN THE ABOVE FIGURE ARE PROPORTIONAL, WHATS THE LENGTH OF SIDE B?
Tema [17]
<h3>Answer: choice B) 36</h3>

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

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

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

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

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

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

5 0
3 years ago
Factor completely 5x^2 + 20x
murzikaleks [220]

Answer: 5x(x + 4)

hope i helped

7 0
2 years ago
Read 2 more answers
Grandma made an apple pie. Josh and his brother joe finished 4/5 of it. Then 3 friends came over and shared the left over. How m
love history [14]

Answer:

The 3 friends ate 1/5 of the pie.

Step-by-step explanation:

The total of this pie is 5/5 so if Josh and his brother ate 4/5 of the pie that means that there was 1/5 pie left so that is what the 3 friends ate.

Hope I helped :)

4 0
3 years ago
Read 2 more answers
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