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alex41 [277]
3 years ago
13

For a quarterback, the probability of throwing a completed pass is 60%, and the probability of gaining more than 10 yards on a r

unning play is 25%. What is the probability of gaining more than 10 yards on a running play and then throwing a completed pass? Express your answer as a decimal rounded to the nearest hundredth. What is the probability of throwing 3 completed passes in a row? Express your answer as a decimal rounded to the nearest hundredth.
Mathematics
1 answer:
never [62]3 years ago
3 0
The probability of gaining more than 10 yards then throwing a completed pass is 15%.

To find the chance of both events happening, you multiply the percents.
0.25 x 0.6 = 0.15 or 15%

The chance of throwing 3 completed passes would be:
0.6 x 0.6 x 0.6 = 0.216 or 21.6%
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Use the net to find the lateral area of the prism.
Gnesinka [82]

Answer:

The lateral area = 450 mm²

Step-by-step explanation:

The lateral area of any prism is equal to the areas of the sides faces

∵ The base of the prism is triangle

∴ It has 3 side faces

∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15

∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

                              = 75 + 180 + 195 = 450 mm²

8 0
3 years ago
Read 2 more answers
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that \mu = 26, \sigma = 3

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 26}{3}

Z = -0.333

Z = -0.333 has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

Z = \frac{X - \mu}{\sigma}

0.125 = \frac{X - 26}{3}

X - 26 = 0.125*3

Z = 26.38

The 55th percentile is 26.38.

7 0
3 years ago
a delivry truck is transporiting boxes of two sizes large and small the combined weight of a large box and a small box is 65 pou
Semenov [28]

Answer: S = 20 lbs L = 45 lbs.  Both answer have been rounded from below

Step-by-step explanation:

L+S = 65 lbs

55L + 65S = 3774 lbs

55L+55S = (65)(55) = 3,575 lbs

10S = 199 lbs

S = 19.99 (round to 20)

L + S = 65

L + 19.99 = 65

L = 45.01 (round to 45)

3 0
3 years ago
The directions are with the question. Please answer numbers 6 through 10, please.
prisoha [69]

Answer:

6) 4 (tiny 5) in the upper corner

7) 9 (tiny 2) in the upper corner

8) 4 (tiny 2) in the upper corner

9) 3 (tiny4) in the upper corner

10) 5 (tiny 5) in the upper corner

Step-by-step explanation:

Once you get the hang of it, it's quite easy! Here are the steps for how I figured it out:

1) Figured out what number they are giving me. For the first one, I saw that they gave me the number 4. For the second one, they gave me the number 9 etc.

2) Next, I looked at each problem individually. For the first one, you know that they are giving you the number 4. You would then count the amount of numbers, in this case 4, that you see in the equation.

3) Now knowing the numbers of numbers in the equation, you'd write it in exponential notation. For the first one, they are giving you the number 4, however, they are giving it to you 5 times. Thus, by writing the number 5, smaller than the number 4, you are allowing you and your math teacher to know that you have to take the number 4 and multiply it by itself 5 times.

4) Try doing this for the others too. Trust me, once you get the hang of it, it's pretty simple. Hope this helped!

4 0
3 years ago
Y=2x^2-6x+4<br><br>separate the values with a comma
Zolol [24]
Y= 2 (x^2-3x+2)
y= 2 (x-1) (x-2)
x=2 and x=1
8 0
3 years ago
Read 2 more answers
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