All categories

3 years ago

Look at the two-way frequency table below.

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Step-by-step explanation:

total of terriers is 48 with is more than 3 but is lower than 134

You might be interested in

A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

Which is taller? Statue of Liberty or the tallest tree in the world?

matrenka [14]

Look it up on google that’s what it’s for

7 0

3 years ago

Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.

Free_Kalibri [48]

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

3 0

4 years ago

Simplify (9^2/3*9^4/2)/9^1/2

JulsSmile [24]

Answer:

$\frac{9^{5}}{3}$

Step-by-step explanation:

$\frac{9^{2}}{3} * \frac{9^{4}}{2} = \frac{9^{6}}{6}\\\\\frac{\frac{9^{6}}{6}}{\frac{9^{1}}{2}} \\\\\frac{2*9^{6}}{6*9^{1}}\\\\\frac{9^{5}}{3}$

$\frac{9^{5}}{3} = 19,683$

6 0

3 years ago

The baseball coach is 70 inches tall. How tall is the child?

tankabanditka [31]

The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.

<h3>What is Heigth?</h3>

Height refers to the vertical distance between the top and bottom of something.

Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.

<h3>Data and Calculations:</h3>

Baseball coach's height = 70 inches

Coach's shoulder to head = 10.6 inches

Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)

Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.

Learn more about height measurements at brainly.com/question/73194

#SPJ1

<h3>Question Completion:</h3>

Assume that the height of the coach from his shoulder to the head is 10.6 inches.

6 0

2 years ago