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3 years ago

Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?

Mathematics

2 answers:

olasank [31]3 years ago

6 0

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

Ad libitum [116K]3 years ago

3 0

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

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Step-by-step explanation:

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The ratio of the Areas of the bases of these cones is 9 to 4.

Lapatulllka [165]

Answer:

Step-by-step explanation:

This is something you learn in Geometry. Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area. You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

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$\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}$

The one-to-one is 3:2. To get to the volume now, cube those one-to-one values:

$\frac{3^3}{2^3}=\frac{27}{8}$

7 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

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

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

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3 years ago

In the morning the temperature is 0 F. It is drop out rate of 3° perh what is the temperature after five hours

r-ruslan [8.4K]

Answer:

-15 degrees

Step-by-step explanation:

3 times 5 is 15 and its negative because it says it DROPS every hour and its taking the temp every 5 hrs

6 0

3 years ago