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3 years ago

15

she can go 6 miles upstream in one and a half hours. going downstream, she goes 24 miles in the same time. determine the speed a

t which she kayaks and the speed of the river's current

1 answer:

defon3 years ago

4 0

she is going 4mpr. upstream and 16mpr. downstream

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To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures

marishachu [46]

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1 2

2 4

3 1

5 2

6 3

9 1

11 1

14 1

15 1

18 1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.

6 0

3 years ago

Sam drove 754 miles in 13 hours, at the same rate how many miles would he drive in 9 hours

VARVARA [1.3K]

Divide 754 by 13 and you get 58
Now multiply by 9 and you get 522 miles.

8 0

3 years ago

Read 2 more answers

The slope of any line perpendicular to AB , where A(0, -3) and B(4, 9) are two points on the line, is m =

rjkz [21]

Are you missing an option? The answer should be -2/3 (I just calculated it numerous times)

5 0

3 years ago

The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)

Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation $Q(x)=2x^2-kx+18$

To find:

Value of $k = ?$ for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: $ax^{2} +bx+c=0$ to have one distinct solution:

$b^2 - 4ac = 0$

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

$(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12$

The equation becomes:

$Q(x)=2x^2-12x+18$

And the one root is:

$2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3$

4 0

3 years ago

Factor 2m^3-12m^2+18m completely

Nina [5.8K]

Answer:

The answer is A.

Step-by-step explanation:

Firstly, you have to take out the common terms for this expression. In this expression, the common terms ard 2 and m :

$2 {m}^{3} - 12 {m}^{2} + 18m$

$= 2( {m}^{3} - 6 {m}^{2} + 9m)$

$= 2m( {m}^{2} - 6m + 9)$

Next you have to factorise the brackets :

${m}^{2} - 6m + 9$

$= {m}^{2} - 3m - 3m + 9$

$= m(m - 3) - 3(m - 3)$

$= (m - 3)(m - 3)$

$= {(m - 3)}^{2}$

So the final answer is :

$2m {(m - 2)}^{2}$

6 0

3 years ago

Read 2 more answers