Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
In this problem, we have that:
Then
The value of the test statistic is
Answer:
Step-by-step explanation:
Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.
Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.
Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.
In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then
Note that 
Answer:
c = 24.34
Step-by-step explanation:
Here, we can use the cosine rule
Generally, we have this as:
a^2 = b^2 + c^2 - 2bcCos A
12^2 = 14^2 + c^2 - 2(14)Cos 19
144 = 196 + c^2 - 26.5c
c^2 - 26.5c + 196-144 = 0
c^2 - 26.5c + 52 = 0
We can use the quadratic formula here
and that is;
{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2
(26.5 + 22.23)/2 or (26.5 - 22.23)/2
24.37 or 2.135
By approximation c = 24.34 will be correct
I'm may not be that good at math, but I'm going to try my best to help you, because I know how it feels to be in this situation!
The first one :
You might be right on D. But I'm thinking B also. The question asks "Which could be a cross section of a rectangular pyramid that has been intersected by a plane perpendicular". But a triangle is basically a flat pyramid.
(I'm typing really fast to help!!!!)
Second one: Its B!! Look at it really closely! You'll get it!!!
(Going really fast now!!!!)
Third one: Between B or D!!! But I think you're right on your choice!!!!
(FASTER FASTER!!!)
FINALLY: Copy and paste your answers into google. People have asked the same question!
I hope I helped. I don't want to make you fail, as I am in the SAME similar situation as you! I really REALLY REALLY HOPE YOU PASS!!!
Answer:
To express percentages in decimal form, you start with the decimal on the right side of the percentage, then you bring the decimal two places to the left. So for example, for 5% it it 5.. when you bring the decimal two places to the left it becomes .05
We start with $371.93 then we multiply each percentage successively to this number
we work backwards
so we start with 5%
$371.93= .95 x X
X=$391.51
Then we take X and do the same process for 10%
$391.51= .90 x Y
Y = $435.01
again we take Y and do the same process for 25%
$435.01= .75 x Z
Z = $580.01
so the original price is $580.01
to find the total percent discount you take the total discounted price ($371.93) divided by the original price ($580.01) then you have 1 subtracted by the number. Finally, you multiply the number by 100 to change it to a percentage
so it's $371.93/$580.01 which = .64125
1 - 64125 = .35875 x 100= 35.88%
so your total percent discount is 35.88%
Hope this helps
