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3 years ago

Gia collected data on the weights, in ounces, of five newborn puppies. The weights are shown in the list below.

Mathematics

1 answer:

lawyer [7]3 years ago

5 0

Answer:

Mean= 8.3

Median=7

Range=6

Step-by-step explanation:I added up all the numbers and divided it by 5 to find the mean. For the median, I crossed out numbers in a pair until there is one left which was 7. For the range i did 11-5 to get 6

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Which system of inequalities is represented by the graph?

alexgriva [62]

Answer:

$\left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

Step-by-step explanation:

The diagram shows shaded region which boundary is bounded with two lines.

<u>Equation of the 1st line:</u>

This line passes through the points (-6,0) and (0,-6), so its equation is

$\dfrac{x-(-6)}{0-(-6)}=\dfrac{y-0}{-6-0}\\ \\\dfrac{x+6}{6}=\dfrac{y}{-6}\\ \\y=-x-6$

<u>Equation of the 2nd line:</u>

This line passes through the points (-2,0) and (0,4), so its equation is

$\dfrac{x-(-2)}{0-(-2)}=\dfrac{y-0}{4-0}\\ \\\dfrac{x+2}{2}=\dfrac{y}{4}\\ \\y=2x+4$

The origin belongs to the shaded region, so it must satisfy both inequalities, so

$-0-6=-6\le 0\Rightarrow$ correct inequality is $-x-6\le y$

$2\cdot 0+4=4\ge 0\Rightarrow$ correct inequality is $2x+4\ge y$

Note that signsare with notion "or equal to" because lines are solid.

Answer:

$\left\{\begin{array}{l}-x-6\le y\\ \\2x+4\ge y\end{array}\right.\Rightarrow \left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

7 0

3 years ago

2.50p+3b=358 Solve for p.

Anna007 [38]

Answer:

p=143.2-1.2b

Step-by-step explanation:

Subtract 3b; 2.5p=358-3b

divide by 2.5; 143.2-1.2b

7 0

2 years ago

Write .125 as a fractionreduced to lowest terms.

horrorfan [7]

The Solution:

We are given the decimal below:

$\begin{gathered} .125 \\ \text{Which also means} \\ 0.125 \end{gathered}$

We are asked to express the given decimal as a fraction in its lowest term.

$0.125=\frac{125}{1000}=\frac{25}{200}=\frac{5}{40}=\frac{1}{8}$

Therefore,

7 0

1 year ago

What is the sum of the first 14 terms of the sequence an = 6n -12

mina [271]

When n = 1 first term = -6
n = 2 second term = 0
n = 3 third term = 6

n = 4 4th term = 12

so we have an Arithmetic sequence first term = -6 and common difference = 6

Sum 14 terms = (14/2)[2*-6 + (14-1)*6]

= 462 answer

6 0

3 years ago

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price o

Oksanka [162]

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

7 0

2 years ago