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Stels [109]
3 years ago
15

The data show the times (in minutes) spent fishing before getting a bite. 12, 25, 28, 20, 18, 16, 22, 30 What fraction of the ti

mes are less than or equal to 17 minutes?
Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

1/4

Step-by-step explanation:

Firstly, we need the numbers that are less than or equal to 17 minutes

These numbers from the data set are;

12 and 16

The count of numbers is;

8

so the fraction we need is simply 2/8

and that is 1/4

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What the variable x represents<br>​
allsm [11]

Answer:

the variable x represents a hidden or unkown value

Step-by-step explanation:

3 0
3 years ago
The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
3 years ago
2 (5y-4)&gt;32<br> Solve the inequality for y.
scoray [572]

Answer:

y > 4

Step-by-step explanation:

2 (5y-4)>32

Divide each side by 2

2/2 (5y-4)>32/2

5y-4 > 16

Add 4 to each side

5y-4+4 > 16+4

5y > 20

Divide each side by 5

5y/5 > 20/5

y > 4

5 0
3 years ago
Read 2 more answers
First correct response gets brainliest
Simora [160]

Answer:

x = 13

Step-by-step explanation:

This question is based on Secant Secant theorem.

Secant Secant theorem gives us the following formula:

(AB + BD)AB = (AC + CE).AC

From the above question we have the following parameters

AB = 5

BD = x

AC = 7.5

CE = 4.5

Hence,

(AB + BD)AB = (AC + CE).AC

(5 + x)5 = (7.5 + 4.5)7.5

25 + 5x = 90

Collect like terms

5x = 90 - 25

5x = 65

x = 65/5

x = 13

5 0
3 years ago
A pile of 42 coins worth $4.90, consisting of nickels and quarters. How many nickels are there?
Ymorist [56]

Answer:14

Step-by-step explanation:

A nickel is 5 cents (20% of dollar)

and a quarter is 25 cents (25% of dollar)

We have given a pile of 42 coins worth of $4.90

Let x be the no nickels and

y be the no of quarter

therefore

x+y=42    -----1

\frac{x}{4}+\frac{y}{20}=4.90 ---2

Solving \left ( 1\right )&\left ( 2\right ) we get

x=14 & y=28

Therefore no of nickels is 14 & no of quarters is 28

6 0
3 years ago
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