Width of the enlarged photograph = 14 cm
<h2><u>Steps to derive the correct answer</u> :</h2>Length of a small photograph = 6 cm
Width of a small photograph = 4 cm
Length of the photograph when enlarged = 21 cm
Let the width of the photograph when enlarged be x.
Which means :
Thus, the value of x = 14
Therefore, the width of the enlarged photograph = <u>14 cm</u>
Answer:
A) : p=0.5 (At least half of the workers are women,fair)
B) : p<0.5 (Less than half of the workers are women,unfair)
C) critical value of the test statistic is 1.64 (one tailed)
D) Test statistic is ≈ 0.29
E) Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.
Step-by-step explanation:
Let p be the proportion of women workers in the company. Null and alternative hypotheses are
: p=0.5 (At least half of the workers are women,fair)
: p<0.5 (Less than half of the workers are women,unfair)
Test statistic can be found using the equation:
z= where
Then z= ≈ 0.29
For alpha 0.05, critical value of the test statistic is 1.64 (one tailed)
Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.
Given:
A line passes through the points (-6, 8) and (-16, 33).
To find:
The slope of the line.
Solution:
If a line passes through two points, then the slope of the line is
The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is
Therefore, the slope of the line is -2.5.
It seems you missed to upload graphs given with the question. So i will draw the graph myself then explain the answer.
f(x)=x^3+8 is the given function which is created from parent function f(x)=x^3
Graph of x^3 is like graph of any odd degree function which starts from bottom and goes to top because of positive leading coefficient.
then there is +8 which means parent function is shifted 8 units upward.
You may directly plug some numbers to find points on f(x)=x^3+8 then join those points to get the graph easily.
like we can use numbers x=-2,-1,0,1,2,...
I will show you calculation for x=-2
f(-2)=(-2)^3+8=(-2)(-2)(-2)+8=-8+8=0
Hence first point is (-2,0)
Similarly you can find more points then use them to find the final graph as shown in attached picture.
