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zzz [600]
3 years ago
13

basketball player who ordinarily makes about 55% of his free throw shots has made 4 in a row. Is this evidence that he has a "ho

t hand" tonight? That is, is this streak so unusual that it means the probability he makes a shot must have changed? Expla
Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that a basketball player who ordinarily makes about 55% of his free throw shots has made 4 in a row.

Probability for a success in any random throw = 55%=0.55

Since each throw is independent no of successive throws is binomial with

p = 0.55 and q = 0.45

Probability his free throw shots has made 4 in a row

= Prob that continuous succesees in 4 throws

=(0.55)^4\\=0.09150125

which shows that this is a very rare event with 0.55 for each success.

Hence this is unusual and there is a necessity to increase 0.55 or 55%

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The sum of an infinite geometric series is 450, while the common ratio of the series is 4/ 5 . What is the first term of the ser
pogonyaev

Answer:

answer is 90 for first term

Step-by-step explanation:

Let the terms be  

First term x

We will use the formula s∞=x/1−r to find the sum of an infinite geometric series, where −1<r<1.  

We know the sum and the common ratio, so we'll be solving for x where r =4/5

s∞=x/1−r

450=x/1−4/5

450=x/1/5

450=5x

x=90

this is the first term x1 = 90

we know that common ratio is 4/5, so multiplying the first term by factor 4/5 to get the second term  

90 x 4/5=   72 second term  

7 0
3 years ago
Read 2 more answers
What is the median and mean amount of sugar? pictures attached
mario62 [17]

Answer:

Step-by-step explanation:

mean is found by adding the numbers and dividing the sum by the number while the median is the middle value of the list ordered in an ascending order

4 0
2 years ago
Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point w
Roman55 [17]

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

\vec {v}=\left

\vec {v}=\left

\vec {v}=\left

Now, the perimetric equations for initial point (x_0,y_0,z_0) with direction vector \vec{v}=\left, are

x=x_0+at

y=y_0+bt

z=z_0+ct

The initial point is (7,1,-5) and direction vector is \vec {v}=\left. So the perimetric equations are

x=(7)+(-4)t

x=7-4t

Similarly,

y=1+3t

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Therefore, the required perimetric equations are x=7-4t, y=1+3t and z=-5+3t.

5 0
2 years ago
Solve 4x - 3 = 18. Round to the nearest thousandth.
lorasvet [3.4K]

Answer:

x=5.250

Step-by-step explanation:

We have been given an equation 4x-3=18. We are asked to solve our given equation.

First of all, we will add 3 to both sides of our equation.

4x-3+3=18+3

4x=21

Now, we will divide both sides of our equation by 4.

\frac{4x}{4}=\frac{21}{4}

x=5.25

Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,

x=5.250

Therefore, the solution for our given equation is x=5.250.

6 0
3 years ago
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andrezito [222]

Answer:

D)

Step-by-step explanation:

No, a reasonable estimate is around 9. $6 = $54

I got it right on my test

3 0
2 years ago
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