Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.14.0 , 11.5 , 12.1 , 16.2 , 13.5 , 14.3 , 16.8
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7

If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

1) 3
2) 4
3) 7
4) 8

Answers

Answer 1
Answer:

The correct answer is:

4) 8

Explanation:

We want to find the frequency of this range. To do this, we count how many values fall between 12.0 and 13.9. There are 8 total values that do this, so the answer is 8.

Answer 2
Answer:

In the given data set, there are 7 values in the given range.

How many students are in the range 12 cm to 13.9 cm?

Here we just need to find the number of values between 12cm and 13.9 cm, from the given table, these are:

12.1 cm, 13.5 cm, 12.4 cm, 13.7 cm, 13.8 cm, 12.5 cm, 13.1 cm

So there are 7 values in the given range, which means that 7 students are in the range of 12cm and 13.9cm.

Then the correct option is the third one.

If you want to learn more about data sets:

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There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future lifetime of Eric is uniformly distributed between 0 to 40 years. Their future lifetimes are independent. Calculate the probability that Gary dies first

Answers

Answer:

\text{The probability that Gary dies first = }(1)/(3)

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

(t)/(60)* (dt)/(40)=(t\cdot dt)/(2400)

Hence the probability that Gary dies first is  given by :

=\int_(0)^(40)(t)/(2400)dt \n\n= (1)/(3)

A jewelry designer is making a pendant. The pendant will be a circular dis (center O) with a circular hold cut out of it, as shown. The radius of the disc is 35 millimeters. Find the area of the pendant. Use 3.14 for π and round to the nearest tenth

Answers

Answer:

2884.8 millimeters squared

Step-by-step explanation:

Given:

The radius of the disc is 35 millimeters, so the area of it is:

πr^(2) = 3.14*35^(2) = 3846.5

Then, we find out the area of the circular hold cut out of the bigger one, its radius is a haft of the radius of the bigger circle = 35/2 = 17.5

πr^(2) = 3.14*17.5^(2) =961.6

=>  the area of the pendant = 3846.5  - 961.6  =2884.8 millimeters squared

What is -2.1, 0.5, -0.5, 5/100 ordered in least to greatest

Answers

Answer:-2.1,-0.5,5/100,0.5

Step-by-step explanation:

Justin is 2 years older than one third marcella's age

Answers

x=63 which is Marcella's age

(1)/(3) of 63 is 21 ⇔ 63÷3=21

2+21=23 which is Justins age

2(23)-4=42

Marcella's age⇒63

Justin's age⇒23

Aimee's age⇒42

Note: I was trying to find a better way to do this but I couldn't figure it out in the top of my head so I'm sorry for the long response

If Marcella is 63, divide by 3 is 21, add 2 equals out to be 23 which is Justin's age. Then 23 multiplied by 2 is 46, subtract 4 from 46, which equals out be 42 and that is Aimee's age.:)

Marcella= 63
Justin= 23
Aimee= 42


For the graph below, what should the domain be so that the function is at least 600? (1 point)graph of y equals minus 2 times the square of x plus 40 times x plus 600


0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers

Answers

Answer: The first interval:0 ≤ x ≤ 20

Procedure

You have to solve this inequality

-2x^2 +40x +600 ≥ 600

-2x^2 +40x  ≥ 0

-x^2+20x ≥ 0

x^2 - 20 x ≤ 0

x(x-20) ≤ 0

That is only possible if the two factors have different signs.

Let's examine the possibilities

       x ≥ 0 and x -20 ≤ 0⇔x≤20, that is 0≤x≤20

The other possibility is

       x ≤ 0 and x - 20 ≥ 0 ⇔x≥20. This conditions is not possible.

So the solution is 0≤x≤20

Represents the following phraseall real numbers that are between - 8 and 3
Compound inequality

Answers

the compound inequality for real numbers between -8 and 3 is -8