Answer:
Yes. The male and female consumers differ in the amounts they spend.
Step-by-step explanation:
We can express the null and alternative hypothesis as:

It is assumed a significance level of 0.05.
The standard deviation of the difference of means is calculated as:

The test statistic is

The degrees of freedom are:

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.
We can conclude that male and female consumers differ in the amounts they spend.
Answer:
This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.
Step-by-step explanation:
In this question, there is a spelling mistake. This is vertices not verticles.
So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.
Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.
Equations of an ellipse in its standard form:
This is the case when major axis the longer one is on the x-axis centered at an origin.

This is the case when major axis the longer one is on the y-axis centered at an origin.
where major axis length = 2a
and minor axis length = 2b
Answer:
it's 1/3
Step-by-step explanation:
5/6+(-1/2)
5/6-1/2
LCM= 6
(5-3)/6
2/6
1/3
Using proportions, it is found that his tax rate is of 28.84%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:
12,200/42,300 = 0.2884 = 28.84%.
Hence his tax rate is of 28.84%.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
The statements that must be true are c,e,f, but these are the statements that I think are correct