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2 years ago

The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $294.00.

1 answer:

3 0

I'll assume you're asking for the initial price

Let's use x to represent it
The initial price plus 40 percent of that is $294

Let's write that out mathematically

x + (40/100)x = 294
x + 0.4x = 294
1.4x = 294
x = 210

The initial price is $210

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A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability

taurus [48]

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

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2 years ago

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large un

Nataly_w [17]

Answer: 0.1289

Step-by-step explanation:

Given : The proportion of all students at a large university are absent on Mondays. : $p=0.15$

Sample size : $n=12$

Mean : $\mu=np=12\times0.15=1.8$

Standard deviation = $\sigma=\sqrt{np(1-p)}$

$\Rightarrow\ \sigma=\sqrt{12(0.15)(1-0.15)}=1.23693168769\approx1.2369$

Let x be a binomial variable.

Using the standard normal distribution table ,

$P(x=4)=P(x\leq4)-P(x\leq3)$ (1)

Z score fro normal distribution:-

$z=\dfrac{x-\mu}{\sigma}$

For x=4

$z=\dfrac{4-1.8}{1.2369}\approx1.78$

For x=3

$z=\dfrac{3-1.8}{1.2369}\approx0.97$

Then , from (1)

$P(x=4)=P(z\leq1.78)-P(z\leq0.97)\\\\=0.962462-0.8339768\approx0.1289$

Hence, the probability that four students are absent = $0.1289$

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2 years ago

Complete the coordinate proof of the theorem. Given: A B C D is a parallelogram. Prove: The diagonals of A B C D bisect each oth

Kamila [148]

Answer:

Step-by-step explanation:

THESE ARE THE CORRECT ANSWERS

5 0

2 years ago

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Kirsty counts the number of peas in a sample of pea pods

RoseWind [281]

Mode is most occurring

There is no mode for the peas as there is no score occurring more than once

Median is middle number

So cross of 4 and 5, and 7 and 8

Median is 6

Mean is average

4+5+6+7+8 divided by five

Mean is 6

5 0

2 years ago

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If CX = 5 units, then DZ = ___ units

gulaghasi [49]

Answer:

$DZ=4\ units$