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3 years ago

An object moving at a constant rate of 32 feet per second how many yards will it travel in one minute

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

640 yards

Step-by-step explanation:

multiply 32 by 60 because there are 60 seconds in one minute. then you have feet per minute which is 1,920ft per minute. then divide by three because there are 3 feet in one yard. and you get your final answer 640.

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A population of red-bellied snakes is known to have a ratio of grey color morph to red color morph of 53:47. You wish to know th

Vsevolod [243]

Answer:

The probability is $P(X\leq 10)=0.093031581$

Step-by-step explanation:

We know that the ratio of grey color morph to red color morph is $53:47$

This can be written in terms of probability as :

$P(RedColorMorph)=\frac{47}{100}=0.47$

This means that the probability of obtain a red color morph snake in a random sample of 100 snakes is $0.47$ (If I only randomly select one snake).

Now, the number $X$ of red color morph snakes in a random sample ''n'' can be modeled as a binomial random variable. Where ''p'' is the success probability (In our case, the probability from obtain one red color morph snake out of 100 snakes) ⇒

$X:$ ''Number of red color morph snakes in the sample''

$p=0.47$

In our case, $n=30$

⇒ $X$ ~ Bi (n,p) ⇒ $X$ ~ Bi (30,0.47)

The probability function for $X$ is :

$P(X=x)=(nCx).p^{x}.(1-p)^{n-x}$

Where $nCx$ is the combinatorial number define as $nCx=\frac{n!}{x!(n-x)!}$ ⇒

$P(X=x)=(30Cx).(0.47)^{x}.(0.53)^{30-x}$

We need to calculate the probability of $P(X\leq 10)$

This probability is equal to :

$P(X\leq 10)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)$

For example,

$P(X=6)=(30C6).(0.47)^{6}.(0.53)^{24}=0.0015446$

We need to calculate all the terms of the sum and then calculate $P(X\leq 10)$

If we use any statistical program we will find that

$P(X\leq 10)=0.093031581$

7 0

3 years ago

A sport statistician gathered data on the number of points scored in each game by high school basketball players across the coun

Sonbull [250]

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98

<h3>What is a sample size?</h3>

The sample size is a term used in market research for defining the number of subjects included in a sample size. By sample size, we understand a group of subjects that are selected from the general population and is considered a representative of the real population for that specific study.

Empirical rule states that for a normal distribution, 68% of the values are within one standard deviation from the mean, 95% of the values are within two standard deviation from the mean and 99.7% of the values are within three standard deviation from the mean.

For a population mean of 20.15 and a standard deviation of 3.7

68% are within μ ± σ/√n,

hence,

68% = 20.15 ± 3.7/√20 = (19.32, 20.98)

For a sample size of 20 players, 68% of the sample means fall within 19.32 and 20.98.

To learn more about sample size from the given link:

brainly.com/question/22927560

#SPJ4

6 0

2 years ago

Find 900 ÷ 90.<br> plz help

sashaice [31]

Answer:

the answer is 10

Step-by-step explanation:

900 ÷ 90

=> 10 $\sf{}$

8 0

3 years ago

Read 2 more answers

A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height.

Bingel [31]

Answer:

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

3 0

3 years ago

HELP ASAP PLEASE I NEED HELP

mariarad [96]

2a) 0.50,0.30
2b) monday and friday
2c) 80degrees

5 0

3 years ago