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3 years ago

The variables x and y are directly proportional , and y=4 when x=3

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

Answer:

4/3

Step-by-step explanation:

y = kx

4 = k(3)

4/3 = k3/3

4/3 = k

The constant proportion is 4/3.

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I need help on number 4?

olga nikolaevna [1]

They would have 2 because is it 10:1 just double it to be 20:2

8 0

3 years ago

Jack likes to go fishing. While waiting for the fishes to bite, he formulates the following model for the process: fishes bite a

gogolik [260]

Answer:

a) 0.122

b) 3.35 × 10⁻⁴

c) 0.1071

Step-by-step explanation:

Here we have the Poisson process given by

$P(N(t) = k) = \frac{e^{-\lambda t} (\lambda t)^k }{k!}$

Where:

λ = Rate = 4 bites/hour and

t = Length of time that is

Mean = λt

Where k = 6 fishes bites and t = 2 hours we have

$P(N(2) = 6) = \frac{e^{-4 \times 2} (4 \times 2)^6 }{6!} = 0.122$

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

$P(N(2) = 0) = \frac{e^{-4 \times 2} (4 \times 2)^0 }{0!} = 3.35 \times 10^{-4}$

$P(N(2) = 6) = 0.122$

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives

0.122×(1-0.122) = 0.1071

4 0

3 years ago

Select the equation represented by the graph

valentinak56 [21]

Answer:

b) y = -2/3 + 1

Step-by-step explanation:

The format for the equation is y = mx + b

(m is the slope, and b is the y intercept)

Slope is rise over run (the units the line moves up and the units the line moves to the right)

In this case, the slope is: -2/3 because it goes down 2 and to the right 3.

The y intercept is 1.

This makes our equation:

y = -2/3 + 1

4 0

3 years ago

Evaluate 60 • x-60 · 15, when x=8.

mamaluj [8]

Answer:

The right answer is, -420

Step-by-step explanation:

Because we use common factor:

60 (x - 15)

We multiply for each term:

60 (x) - 60 (15)

60 (8) - 60 (15)

We solve:

480 - 900 = -420

8 0

3 years ago

The standard deviation of quiz scores is 5.6. Describe the quiz scores

Lyrx [107]

We have been given a table of quiz scores whose standard deviation is 5.6. We are asked to find the test scores that are within one standard deviation of the mean.

First of all, we will find the mean of the test scores using average formula.

$\text{Average}=\frac{\text{Sum of data points}}{\text{Number of data points}}$

$\text{Average}=\frac{25+13+16+30+27+22+19+22+15+28+27+29}{12}$

$\text{Average}=\frac{273}{12}$

$\text{Average}=22.75$

The scores within one standard deviation would be mean plus one SD and mean minus one SD that is:

$22.75-5.6\text{ and } 22.75+5.6$

$17.15\text{ and } 28.35$

Therefore, the quiz scores 17.15 and 28.35 are within one standard deviation of the mean.

7 0

4 years ago