MATHEMATICS HIGH SCHOOL

SOMEONE ANSWER THIS QUESTION BEFORE I GO CRAZY!!! The heights, in cm, of some plants in a greenhouse are shown below:

13.5, 12.2, 12.8, 12.8, 12.3, 12, 13.9, 14, 14.2, 12.6

Jack made the following box plot to represent the heights:

box plot shows minimum at 12, first quartile at 12.5, median at 12.8, third quartile at approximately 13.9 and maximum at 14.2

Which of the following did Jack show incorrectly on his box plot?
Median
Minimum
First quartile
Third quartile

Answers

Answer 1

Answer:

The First Quartile is incorrect.

Step-by-step explanation:

Step 1: Order the Numbers

They should looks like this: 12 12.2 12.3 12.6 12.8 12.8 13.5 13.9 14 14.2

Step 2: Find the Median

Since there is an even amount of numbers (10), the median is the sum of the two middle numbers divided by two: 12.8 + 12.8 = 25.6, 25.6 ÷ 2 = 12.8. So, 12.8 is our Median. Since our next steps will involve us figuring out more Medians, we will call this the "original Median." (I would suggest you replace the two numbers with one 12.8 and circle it so you know that this is the Median.)

Step 3: Find the Median for the Quartiles

Now you need to find the Median for the numbers leading up to the "original" Median and the numbers following the "original" Median. Since there is again, an even amount of numbers (4), you will add the two middle numbers of those four and divide the sum. Leading up to the Median: 12.2 + 12.3 = 24.5, 24.5 ÷ 2 = 12.25 (First Quartile). Following the Median: 13.9 + 14 = 27.9, 27.9 ÷ 2 = 13.95 (Second Quartile). (Again, I would suggest you replace each two numbers with the one median and circle it so that you will know that these will be the end of your first and third quartiles.)

Step 4: Find the Quartiles

Referring to Jack's Box Plot, the end of his line should start at 12 (that is the lowest number) and should end at 14.2 (that is the highest number). The "original Median" is 12.8, which will be the line inside of his box. Since we figured out what the median is leading up to the "original Median", his box should start at 12.25, and since we figured out the Median following the "original Median" we know that his box should end at 13.95.

Step 5: Make sure they match up

Let's organize this a bit better; numbers 12 - 12.25 (first quartile), 12.25 - 12.8 (second quartile), 12.8 - 13.95 (third quartile), 13.95 - 14.2 (fourth quartile). All of these match correctly except for our first quartile. It starts correctly at 12 but does not end at 12.25 and instead ends around 12.5.

Incorrect: First Quartile

After working out the problem and figuring out what Jack did wrong, we now know that Jack incorrectly worked the First Quartile.

Hope this helped and that it wasn't too confusing. Also, if it was too confusing, try reading it and working out the problem yourself as you read the steps. :)

Answer 2

Answer: First put them in order: 12, 12.2, 12.3, 12.6, 12.8, 12.8, 13.5, 13.9, 14, 14.2. The minimum (the lowest) is 12. The median (the middle number) is 12.8. The third quartlile is approximately 13.9. The first quartile is 12.25. He lied about the first quartile :)

Related Questions

If 2(x – 5) = –11, then x = ?
What is the mean? If the answer is a decimal, round it to the nearest tenth.
Rewrite y = -2+7 in standard form
A normal curve with a mean of 500 and a standard deviation of 100 is shown. Shade the region under the curve within one standard deviation of the mean. How much of the data falls within the shaded region?
What is the value of k?

Anna makes $120 a week plus $15 for every client she gets when she cuts hair. Write a function that shows how much she makes each week?

Answers

Answer:

120+x15

Step-by-step explanation:

The 120 is the base pay, x = each hair cut.

x15 lets you say that 2 people getting their hair cut means 30 dollars, with the variable in place it lets the number fluctuate based on the actual amount of clients.

Suppose that normal human body temperatures are normally distributed with a meanof 37°C and a standard deviation of 0.2°C.
What percent of humans have a temperature between 36.6°c and 37.4°c?
Which normal curve is shaded correctly for this problem?

Answers

Answer: Choice B

Explanation:

Let's convert the raw score x = 36.6 to its corresponding z score.

z = (x-mu)/sigma

z = (36.6 - 37)/(0.2)

z = -2

Note that mu and sigma represent the mean and standard deviation respectively. The score z = -2 means we're 2 standard deviations below the mean.

Following those similar steps, you should find that x = 37.4 leads to z = 2.

The temperatures we're focused are on the interval $-2 \le z \le 2$ , i.e. the z values are between -2 and 2 inclusive.

Therefore, the range of temperatures are within 2 standard deviations of the mean.

Visually, we'll go for choice B since this shows the lower two sections shaded (ie the panels to the left of the center) and also the upper two sections shaded. According to the Empirical Rule, this accounts for roughly 95% of the normal distribution.

The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?

Answers

Answer:

A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.

Let us see some example problems based on the above concept.

Example 1 :

Which value of x is the solution of the equation

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

Solution :

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

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

(4x + 3)/6 = (5/6)

Multiply 6 on both sides

4x + 3 = 5

Subtract 3 on both sides

4x + 3 - 3 = 5 - 3

4x = 2

Divide by 4 on both sides

4x/4 = 2/4

x = 1/2

Hence the value 1/2 will satisfy the above equation.

Example 2 :

Which value of x is the solution of the equation

(2/3) x + (x/6) = 5 ?

Solution :

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

(4x/6) + (x/6) = 5

(4x + x)/6 = 5

5x/6 = 5

Multiply by 6 on both sides

5x = 5 (6)

5x = 30

Divide by 5 on both sides

x = 30/5 = 6

Hence the value 6 will satisfy the above equation.

Example 3 :

The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?

Solution :

From the above question, we come to know that we have to solve for x, that makes the statement true.

(2x/3) − 5 = x/4

(2x - 15)/3 = x/4

Multiply 3 on both sides

2x - 15 = 3x/4

Multiply by 4 on both sides

4(2x - 15) = 3x

8x - 60 = 3x

Subtract 3x on both sides

8x - 3x - 60 = 0

5x - 60 = 0

Add by 60 on both sides

5x - 60 + 60 = 0 + 60

5x = 60

Divide by 5 on both sides

x = 60/5

x = 12

Example 4 :

What is the value of x in the equation

(x − 2)/3 + 1/6 = 5/6 ?

Solution :

(x − 2)/3 + 1/6 = 5/6

(2(x - 2) + 1)/6 = 5/6

multiply by 6 on both sides

(2x - 4 + 1) = 5

2x - 3 = 5

Add 3 on both sides

2x - 3 + 3 = 5 + 3

2x = 8

Divide by 2 on both sides

x = 8/2

x = 4

Step-by-step explanation:

Final answer:

The value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is 8.4

Explanation:

To find the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4), we first distribute 3/2 into the parenthesis to get 2/3x + 4 = 3/2x - 3/2. Now isolate x on one side of the equation. To eliminate fractions, multiply all terms by 6 giving 4x + 24 = 9x - 18. Rearrange the terms to form a linear equation 5x = 42, hence x = 42 / 5 = 8.4 is the solution to the equation.

Learn more about Equation Solving here:

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Find a • b.

a = 4i + 3j, b = -4i + 4j

Answers

The required dotproduct of the given vector is given as -4.

Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.

What is dot products of vector?

The dot × of twovectors is described as the sum of the products of the relevant directionalvector.

Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)

Thus, the required dotproduct of the given vector is given as -4.

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Hello,

I suppose a and b are vectors
and i and j unit's vectors

$\vec{i}*\vec{i}=1\n \vec{j}*\vec{j}=1\n \vec{i}*\vec{j}=0\n$
$\vec{a}\ .\ \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\n =-16-3*4*0+4*4*0+12=-4$

Lila collected the honey from 3 of her beehives.from the first hive she collected 2/3 gallon of honey.the last two hives yielded 1/4 gallon each.A.how many gallons of honey did lila collect in all?