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3 years ago

Find the mean, median and mode of 4,9,12,5,0,9,7,4,4

Mathematics

2 answers:

Ronch [10]3 years ago

6 0

The mode is 4,the median is 5 and mean 27

ki77a [65]3 years ago

6 0

0, 4, 4, 4, 5, 9, 9, 12

Mean: 0 + 4 + 4 + 4 + 5 + 9 + 9 + 12 = 47 ÷ 8 = 5.87

Mode: 4

Median: 9

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Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand cl

Rainbow [258]

Solution :

Assuming $\sigma_1^2=\sigma_2^2$

We have to test

$H_0:\mu_1=\mu_2$

Against $H_a: \mu_1 \neq \mu_2$

Level of significance, $\alpha = 0.05$

$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$

$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$

= 420.6107

Under $H_0$ , the t-statistics is as follows:

$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim$ $\text{t with }(n_1+n_2-2) \ DF$

$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$

= 0.90

DF = (25 + 20 - 2)

= 43

P-value of the test = 0.375

Since the p value is more than 0.05, we fail to reject our null hypothesis.

There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.

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3 years ago

Brianna has x nickels and y pennies. She has no less than 20 coins worth no more

Bond [772]

Answer:

$y \ge 20 - x$

$y \le 80 -5x$

$(x,y) = (15,5)$

Step-by-step explanation:

Given

$Nickels = x$

$Pennies = y$

$Amount = \$0.80$ maximum

$Coins = 20$ minimum

Required

Solve graphically

First, we need to determine the inequalities of the system.

For number of coins, we have:

$x\ +\ y\ge 20$ because the number of coins is not less than 20

For the worth of coins, we have:

$0.05x\ +\ 0.01y\ \le0.80$ because the worth of coins is not more than 0.80

So, we have the following equations:

$x\ +\ y\ge 20$

$0.05x\ +\ 0.01y\ \le0.80$

Make y the subject in both cases:

$y \ge 20 - x$

$0.01y \le 0.80 - 0.05x$

Divide through by 0.01

$\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le 80 -5x$

The resulting inequalities are:

$y \ge 20 - x$

$y \le 80 -5x$

The two inequalities are plotted on the graph as shown in the attachment.

$y \ge 20 - x$ --- Blue

$y \ge 80 -5x$ --- Green

Point A on the attachment are possible solutions

At A:

$(x,y) = (15,5)$

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3 years ago

4)<br> Write an inequality for the graph below. If necessary, use<br> <= for < or >= for .

navik [9.2K]

9514 1404 393

Answer:

y < -1/4x -1

Step-by-step explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

y = mx + b

y = -1/4x -1

The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:

y < -1/4x -1

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3 years ago

If Jay-Jay walks 8 miles in 2 hours on average, how far will he walk if he continues at the same pace for 3 hours?

Cerrena [4.2K]

Answer: it is 12 hours

Step-by-step explanation: hope it helps

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3 years ago

Read 2 more answers

Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from

monitta

Answer:

1= 0

2= 0.5

3= 1.5

4= 3

5= 5

6= 7.5

7= 10.5

8= 14

explanation: This is the edmentum answer

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3 years ago