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Vilka [71]
3 years ago
8

Hannah sells computers. The amount of her monthly sales for the first half of the year are listed below:

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

Answer:

Mean = $16,500

Mode = $14,000

Median = $16,000

Step-by-step explanation:

Mean:  We add all the numbers together and divide by 6 but this isn't the mean as we have to factor out and get it to the correct number.  Therefore we will do the following.

14000+18000+13000+19000+21000+14000 / 6  Cancel the common factors

factor 2 out of everything

2(7000+9000+6500+9500+10500+7000) / 6

we get rid of the 2 and the 6 by factoring them out.  so we now get

7000+9000+6500+9500+10500+7000 / 3

Now we add the numbers together and divide by 3

49500 / 3 = $16,500

Mode:  This is easy as there is only 1 number that appears more then 1 time and therefore is 14,000

Median = we arrange the numbers from smallest to largest and find the center number.  since there are an even number we will take the 2 center numbers and add them together and divide by 2.

13000, 14000, 14000, 18000, 19000, 21000

So we will take 14000 and 18000 and add them together then divide by 2.

14000 + 18000 = 32000/2 = $16,000

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Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting
ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

8 0
3 years ago
An obtuse triangle with area 12 has two sides of lengths 4 and 10. Find the length of the third side. (There are two answers.) (
mart [117]
This question can be solved using the Herons equation where 
A = SQRT [s*(s-a)*(s-b)*(s-c)]

A = area of the triangle
a, b and c are the sides of the triangle

s = (a+b+c)/2

Since we are given the area, we can express "s" as a function of the third side c. This can be substituted in the original equation so as to obtain an expression to solve for the third side c

s = (4+10+c)/2 = (14+c)/2

using the solver function of the calculator or MS Excel, the third side is 7.21 units
3 0
3 years ago
What is the equation of the line that contains the point (-1, 4) and has a slope of 3?
sertanlavr [38]

Let's write the equation with formula:-

\boxed{ \sf \: formula : y -y_{1} =  m(x -  x_{1})}

Where,

  • x1 is -1 and y1 is 4 and m is 3

\tt \: y - 4= 3(x - ( - 1))

\tt \: y  - 4 = 3(x + 1)

\tt \: y  - 4 = 3x + 3

\tt \: y = 3x + 3 + 4

\tt \: y = 3x + 7

<em>Thus, The correct choice is option C!!~</em>

4 0
2 years ago
Read 2 more answers
Ellus<br> What is the measure of z?<br> 4<br> 16<br> z<br> X<br> Z =<br> ✓ [?]
Sholpan [36]

Answer:

z=\sqrt{80}

Step-by-step explanation:

By geometric mean property:

y= \sqrt {16\times 4}

y= \sqrt {64}

y= 8

By Pythagoras Theorem:

z=\sqrt{4^2 +8^2}

z=\sqrt{16 + 64}

z=\sqrt{80}

8 0
3 years ago
9) Which point is a solution to the equation 3x + 2y = 9?<br> A. (0,4) B. (4,0) C. (1,3) D. (3, 1)
7nadin3 [17]

Answer:

c. (1, 3)

Step-by-step explanation:

The coordinates that best suite the equation, given it the answer.

4 0
3 years ago
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