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2 years ago

15

Mr. Phillips is mixing paint for his art class. How many 6-ounce bottles can he fill with the quantities of paint shown at the r

ight?

1 answer:

Delvig [45]2 years ago

7 0

Is there any images?

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An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and

uranmaximum [27]

We are given relation between distance( in kilometers) travelled and number of hours taken by an Albatross bird.

Distance in kilometers taken by variable d.

Number of hours by t.

And situation is given d=50t.

We know, direct relation formula y= kx read as y is directly proportional to x. And k is the constants of proportionality.

In the given fuction y is taken by variable d and x is taken by variable t.

If we compare d=50t by y = mx, the value of k is 50.

Therefore, constant of proportionality is 50.

Constant is a number that never change it's value.

Therefore, constant of proportionality is just 50.

But we can say variables d and t are two variables those are directly proportional to each other.

Constant of proportionality is actually unit rate of change.

For the given situation constant of proportionality is the number of km travelled in per unit time (in 1 hour.)

If we divide 400km 8 hours, we get 400/8 = 50 km per hour.

Therefore, variables of proporation are d and t and relation between them is " they are directly proportional to each other".

And the constants of proportionality is just 50.

7 0

2 years ago

What is the mean of 210 160 200

Allushta [10]

190
You add everything together
Then, divide by however many numbers you have
210+160+200
570 / 3
190
Hope this helps..
Mark Brainliest Please!

6 0

2 years ago

Five times the sum of e and 4 is equal to -7.

andre [41]

5+ 4e = -7 is the correct answer.

5 0

2 years ago

What is the average rate of change of y=cos(2x) on the interval 0 pi/2?

Snezhnost [94]

Jesus is the answer to this

7 0

2 years ago

Read 2 more answers

In a network of 40 computers, 5 hold a copy of a particular file. Suppose that 7 computers at random fail. Let F denote the numb

anzhelika [568]

Answer:

a. E(F)=0.875

b. 99.9976%

c. P(X=2)=0.1683

Step-by-step explanation:

a. We notice that this is a binomial distribution with the probability of success;

$p=\frac{5}{40}=0.125$

#We are given the sample size, n=7. The Expected value is calculated as:

$E(X)=np\\\\E(F)=np , n=7, p=0.125\\\\E(F)=7\times 0.125\\\\=0.875$

Hence the expectation, E(F)=0.875

b. To calculate the probability of the range of F, we need to calculate all possible outcomes of F in the given sample;

$P(X\leq 5)=1-P(X=6)-P(X=7)\\\\=1-{7\choose 6}(0.125)^6(1-0.125)^1-{7\choose 7}(0.125)^7(1-0.125)^0\\\\=1-0.000023365-0.000000476\\\\=0.999976158\\\\=99.9976\%$

Hence, the range of F is 99.9976%

c. The probability that F=2 is calculated using the binomial distribution function as:

$P(X=2)={7\choose 2}(0.125)^2(1-0.125)^5\\\\=0.1683$

Hence, the probability of F=2 is 0.1683

3 0

2 years ago