50 people were asked if they had ever been to Mauritius or the Seychelles on holiday.
11 had been to Mauritius, 7 had been to the Seychelles and 35 had been to neither.
How many had been to both?​

Answer:

0.32472

Step-by-step explanation:

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

z = (9 - 10)/2.2

z = -1/2.2

= -0.45455

Probability value from Z-Table:

P(x ≤ 9) = P(x < 9)

= 0.32472

Therefore, the proportion of trees having a diameter less than 9 inches is

0.32472

The proportion of trees having a diameter less than 9 inches is 32.64%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]

Given that μ = 10, σ = 2.2, hence:

[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]

From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%

The proportion of trees having a diameter less than 9 inches is 32.64%

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Answer:

If the answer is north why did you post it?

Answer:

y= 4/3x -2 or y=1[tex]\frac{1}{3}[/tex] -2

Step-by-step explanation:

Answer: 65

Step 1: Multiply and add until you get 49.

11 x 4 = 44.

44 + 5 = 49.

Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26,       26 : 49.

7 x 3 = 21.

21 + 5 = 26.

Step 3: Add 26 and 49.

26 + 49 = 65

Answer:

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.

Answer:

.4625

Step-by-step explanation:

To find the mean, add up all the numbers, then divide by the number of terms

(0.2 +0.4+ 1+ 0.25) /4

1.85/4

.4625

Answer:

Step-by-step explanation:

45

Answer:

g = h/f - d/f

Step-by-step explanation:

Answer:

Survey data

Step-by-step explanation:

Survey data is defined as the resultant data that is collected from a sample of respondets that took a survey

The data obtained by conducting a survey is called as "survey data".

It is given that we are conducting a survey.

what will we call the data which is obtained through the survey.

What is a survey ?

Survey is a research method of gathering information or collecting the data.

Survey data is defined as the resultant data that is collected from a sample of respondents that took a survey.

The survey data is generally precise and enclosed within the topic of survey.

Thus, the data obtained by conducting the survey is called "survey data".

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Answer:

13

Step-by-step explanation:

Step 1:

EF + FG = EG        Equation

Step 2:

7 + 6 = EG        input values

AnsweR:

13 = EG            Add

Hope This Helps :)

Answer:

a) C) The system has no solutions only when h=3 and k is any real number.

b) D) The system has a unique solution when [tex]h=(-\infty,3)U(3,\infty)[/tex] and k is any real number.

c) The system has may solutions when h=3 and k=15

Step-by-step explanation:

a) In order to determine when the system will have no solution, we can start by solving the equation by substitution. We can solve the first equation for x1:

[tex]x_{1}+hx_{2}=3[/tex]

so

[tex]x_{1}=3-hx_{2}[/tex]

Next we can substitute this into the second equation so we get:

[tex]5(3-hx_{2})+15x_{2}=k[/tex]

We distribute the 5 into the first parenthesis so we get:

[tex]15-5hx_{2}+15x_{2}=k[/tex]

and group like terms:

[tex]-5hx_{2}+15x_{2}=k-15[/tex]

we factor x2 so we get:

[tex]x_{2}(-5h+15)=k-15[/tex]

and solve for x2:

[tex]x_{2}=\frac{k-15}{-5h+15}[/tex]

this final answer is important because it tells us what value the system of equations is not valid for. That answer will not ve vallid if the denominator is zero, so we can set the denominator equal to zero and solve for h, so we get:

[tex]-5h+15= 0[/tex]

and solve for h:

[tex]-5h= -15[/tex]

[tex]h=\frac{-15}{-5}[/tex]

[tex]h= 3[/tex]

so it doesn't really matter what value k gets since all that matters is that the denominator of the answer isn't zero.

b)

For part b we need to know when the system of equations will have infinitely many answers. Generally, this will happen when both equations are basically the same, so we need to make sure to simplify the second equation so it looks like the first equation, compare them and determine the respective coefficients.

So we take the second equation and factor it:

[tex]5x_{1}+15x_{2}=k[/tex]

we start by factoring a 5 from the left side of the equation so we get:

[tex]5(x_{1}+3x_{2})=k[/tex]

Next, we divide both sides of the equation into 5 so we get:

[tex]x_{1}+3x_{2}=\frac{k}{5}[/tex]

we now compare it to the first equation:

[tex]x_{1}+hx_{2}=3[/tex]

[tex]x_{1}+3x_{2}=\frac{k}{5}[/tex]

In this case, every coefficient of the two equations must be the same for us to get infinitely many answers, so we can see that h=3 and [tex]\frac{k}{5}=3[/tex]

when taking the second condition and solving for k we get that:

[tex]k=3(5)[/tex]

so

k=15

Anything else than the specific combination h=3 and k=15 will give us unique solutions, so for b, the answer is:

D) The system has a unique solution when and k is any real number.

c)

We have already solved part c on the previous part of the problem, so the answer is:

The system has many solutions when h=3 and k=15

Answer:

f^-1(x) = 4(x+5)/3

Step-by-step explanation:

Let f(x) = y

So, y = (3/4)x - 5

y + 5 = (3/4)x

4(y+5)/3 = x

The steps are first to make a variable that holds the same value as the function, then from there you simplify and eventually make x the subject of the equation.

Answer:

i think its C

Step-by-step explanation:

sorry if i get it wrong

Answer:

The Answer is D

Step-by-step explanation:

Do what answer D tells you to do. Obviously.

Answer:

0.705

Step-by-step explanation:

Answer: the answer is .705

Step-by-step explanation:

the numbers 0.25 and 0.33 are technically 0.250 and 0.330

so just line them up and add. 0.250+0.125+0.330=0.705

Answer:

how many weeks are in a year?  52 so   2000 / 52 = ?

Step-by-step explanation:

the question asks how many  WEEKS to save 2000.... so just divide the weeks of one year into 2000 that you want to save for that year

my calculator says 2000/52=38.46  

so save $ 38.46 each week

Answer:

5 units long

Step-by-step explanation:

If you graph it, it is a simple straight line 5 units long between A and B.

You could also use the distance formula if you had to do more advanced distance calculations.

The distance formula is d=√((x2-x1)²+(y2-y1)²)

Answer: -3/2

Step-by-step explanation:

Answer:

y=nx−2+6n

Step-by-step explanation:

I have used the slope-intercept form to find the answer.

Hope this helps :)

Answer:

Diverges

Step-by-step explanation:

3/(4ⁿ) = 3 (¼)ⁿ is a geometric series with r = ¼, which converges.

7/n is a harmonic series, which diverges.

The sum of a convergent series and a divergent series is divergent.

Answer:

(30x2)x2

Step-by-step explanation:

Answer:

Step-by-step explanation:

O

Answer:

4 questions

Step-by-step explanation:

To find a percentage of a number, you move the decimal mark all the way to the left.

87.5% becomes 0.875

Next you multiply 32 by 0.875 to find the percentage of questions that are completed

32 x 0.875 = 28

28 out of 32 questions have been solved, so now you subtract 28 from 32

32 - 28= 4

There are 4 questions to complete

Answer:

The answer is 23

Answer:

t = 23

Step-by-step explanation:

Answer:

2(b-2)=6

Step-by-step explanation:

Twice the difference means multiply the difference by two

It explains the difference being between the unknown number(b) and 2

The answer is said to be six

So you put the difference (b-2)

Multiply it 2(b-2)

and finally, add the answer: 2(b-2)=6

The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

Given that, twice the difference of a number and 2 equals 6.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Use the variable b for the unknown number.

2(b-2)=6

⇒ b-2=3

⇒ b=5

Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.

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Answer:

Step-by-step explanation:

9. Alternative exterior

10. Alternate interior

11. Complementary

12. Corresponding

13. Corresponding

14. Alternate exterior

15. Vertical

16. Linear Pair

Answer:

X=8

Step-by-step explanation:

JK would equal 28, since it basically is double the side of that triangle. So now we have the equation, 2x+12=28. Now we solve using inverse operation. 28-12=16 and then 16 divided by 2 is 8, so x=8.

The required simplified value of x is 8, for the given triangle.

A midpoint is a point on the line whose distance from both ends of the line is equal.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The property of a triangle states that the line joining the midpoints of the two adjacent sides is equal to half of the third side.
So,
JK = 2NO
2x + 12 = 24
x = 16 / 2
x  = 8

Thus, the required simplified value of x is 8, for the given triangle.

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Answer:

2

Step-by-step explanation:

2/3(2) + 1/2 = 5/6

If it's 2/3 * X then x is equal to 1/2.

Answer:

Correct mean = 32 grams

Correct Standard deviation = observed S.D = 2 grams

Step-by-step explanation:

We are told in the question above :

A scientist is weighing each of 30 fish. She obtains a mean of 30 g and a standard deviation of 2 g. After completing the weighing, she finds that the scale was misaligned and always under reported every weight by 2 g that is

The mean after correcting the error in the scale is :

= observed mean + 2g

= 30g + 2g = 32g

The standard deviation after correcting the error in the scale remains the same as the difference of 2g has no significant effect on the Standard deviation.

This standard deviation = 2g

Answer:

6 ounces per serving

Step-by-step explanation:

If you divide 15 ounces by 2.5 servings, you get 6 ounces per serving. I guess this is what you are trying to find, and hopefully it helps!

h = time in hours

20 + 4h = 546

4h = 526

h = 131.5

131.5 hours