Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:

Given:

Compute the value of the test statistic as follows:

Thus, the value of the test statistic is 4.70.
Answer:
k=6
Step-by-step explanation:
18=k+12
you need to isolate k so you subtract 12 from both side
6=k
Answer:



Step-by-step explanation:
The picture of the question in the attached figure
step 1
In the right triangle ABD
Applying the Pythagorean Theorem


----> equation A
step 2
In the right triangle BDC
Applying the Pythagorean Theorem


----> equation B
step 3
In the right triangle ABC
Applying the Pythagorean Theorem

----> equation C
step 4
Equate equation A and equation B

-----> equation D
step 5
substitute equation D in equation C

solve for z




simplify

Find the value of x



Find the value of y





Answer:
5 • 10^6
Step-by-step explanation:
When we talk about approximations, it is important to know that their purpose is not to find the correct value, only close enough that will do the job. We use them when we want to write something in a shortened way, to save time or when it's impossible to find precise value. Of course, our approximation won't be 100% precise, but it will be acceptable.
So, in this case, we are dealing with a population that is just above five million.
Milion (1 000 000) is a seven-digit number written with six zeros, so its power of ten will be 10^6 (ten to the power of six).
Since the population is around five million, we will approximate it to
5 • 10^6 (five times ten to the power of six)
Answer:
C=14
Step-by-step explanation:
To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.
(14,0) (0,17.5) (3.08,3.64)
C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)
C=14 C=52.5 C=14