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3 years ago

7

The world's fastest fish, a sailfish, swims at a of 69 miles per hour. Is the distance a sailfish swims propotial to the number

of hours it swims?

1 answer:

Eddi Din [679]3 years ago

4 0

Yes, the distance a sailfish swims propotional to the number of hours it swims

You might be interested in

64 ft of rope weighs 20 pounds 28 ft of rope weighs x pounds

castortr0y [4]

Answer

89.6

Step-by-step explanation:

Each foot of rope weighs 3.2 so then mutiplied 3.2 by 28 and got that

4 0

2 years ago

Graph the line with slope 1/4 and y-intercept -8

kherson [118]

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

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Hope I helped, best wishes & happy studies!

Please reach out to me if any queries arise.

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5 0

1 year ago

Read 2 more answers

Tell me please !!!!!!

UkoKoshka [18]

Answer:

(1)

Donna = Pounds 180

Kyra = Pounds 240

(2)

Kelly = Pounds 225

Nelly = Pounds 175

Step-by-step explanation:

(1)

Donna = x

Kyra = x + 60

If Donna spends 1/3 of her money she is left with 2/3 of her money;

2/3 x

Kyra now has twice as much money as Donna can be represented as;

X + 60 = 2 * 2/3 x

X + 60 = 4/3 x

(x + 60)3 = 4x

3x + 180 = 4x

180 = 4x – 3x

180 = x

Donna = 180

Kyra = 180 + 60 = 240

(2)

Kelly = x

Ned = y

Kelly spends 40% of her money. Therefore he is left with 60%;

60/100 x

Nelly spends Euros 40 of his money. Therefore he is left with;

y- 40

If they now have the same amount of money;

60/100 x = y – 40

3/5 x = y – 40

3x = 5y – 200

3x – 5y = -200

Remember Kelly & Ned has Euros 400 in total;

x + y = 400

Now we can solve the simultaneous equation by substitution;

x + y= 400

3x – 5y = -200

3x + 3y = 1200

-

3x – 5y = - 200

=

8y = 1400

Y = 175

X = 225

Kelly = 225

Nelly = 175

Learn More:

brainly.com/question/2273184

brainly.com/question/11876335

#LearnWithBrainly

3 0

3 years ago

Read 2 more answers

A new cruise ship line has just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Par

topjm [15]

Let the number of deluxe that Pacific has be x
the number that Caribbean has will be (x+18)
the number that Mediterranean has will be (3x-25)
total b=number of deluxe in the 3 ships will be:
x+(x+18)+(3x-25)
5x-7=928
5x=928+7
x=935/5
x=187
Hence the Pacific has 187, Caribbean has 187+18=205, Mediterranean has (3*187-25)
=534

6 0

3 years ago

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago