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2 years ago

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Mathematics

1 answer:

arsen [322]2 years ago

3 0

Answer:

The scale factor is 5 because the increase in each side of the shape is *5

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James and Lucas competed in climbing a mountain and coming back. James climbed at an average rate of 3 mph and ran back at 4 mph

Bogdan [553]

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Step-by-step explanation:

Given,

Climbing rate of James = 3 mph

Running back rate of James = 4 mph

Climbing rate of Lucas = 2 mph

Running back rate = 5 mph

Total distance = 2 miles

We know that;

Distance = Speed * Time

As we have to find, we will rearrange the formula in terms of time

$Time=\frac{Distance}{Speed}$

Time took by James for climbing = $\frac{2}{3}\ hours$

Time took for running back = $\frac{2}{4}\ hours$

Total time = $\frac{2}{3}+\frac{2}{4}=\frac{8+6}{12}=\frac{14}{12}$

Total time taken by James = $\frac{7}{6}\ hours$

1 hour = 60

Total time taken by James = $\frac{7}{6}*60=70\ minutes$

Time took by Lucas for climbing = $\frac{2}{2}=\ 1\ hour$

Time took by Lucas for climbing = 60 minutes

Time took on return = $\frac{2}{5} of\ an\ hour=\frac{2}{5}*60=24\ minutes$

Total time taken by Lucas = 60+24 = 84 minutes

Therefore,

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Keywords: distance, speed

Learn more about distance at:

#LearnwithBrainly

7 0

3 years ago

When x = 5, the value of the expression

Novay_Z [31]

Answer:

Your question does not make sense.

Step-by-step explanation:

5 0

2 years ago

g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate

bixtya [17]

Answer:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

Step-by-step explanation:

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

$X \sim Binom(n=25, p=0.85)$

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:

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

We want to find the following probability:

$P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)$

And replacing using the mass function we got:

$P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156$

$P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211$

$P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217$

$P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161$

$P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759$

$P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172$

And adding the values we got:

$P(X\geq 20) = 0.8381$

7 0

3 years ago

For each equation choose a value for x and then solve

ss7ja [257]

Answer:

Step-by-step explanation:

For each equation choose a value for x and then solve to find the corresponding y value that makes that equation true.

5 0

2 years ago

1. In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is

grandymaker [24]

Answer:

T15 = 31

Step-by-step explanation:

Its in the picture

I hope it helps :)

6 0

3 years ago

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