Answer:
20in
Step-by-step explanation:
For this Q:
mean=31
st.dev.=0.8
x=32
Calculate z-score:
z=(x-m)/s = (32-31)/0.8=1.25
This z-score value corresponding to the probability of 0.8944
<span />
Answer:
read below
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
the answer is m=-3n-5/2 or n=2m+5/6
Answer:
63 sandwiches
Step-by-step explanation:
Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter
They brought 7 loaves of bread
Each loaves have 18 slices
They used 2 slices each to make the sandwich
The first step is to calculate the total number of slices
Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows
= 7 ×18
= 126 slices
Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows
= 126/2
= 63
Hence 63 sandwiches were made for the shelter
An inequality that represents Denise's goal in terms of the number of hours spent running 'h'
Given :
Denise wants to burn at least 5000 calories a week through running.
she can burn 550 calories per hour
Let 'h' be the number of hours spent
In 1 hour she can burn 550 calories
In 'h' hours she can burn 550h calories
Given that she want to burn atleast 5000 calories in a week
Burn atleast 5000 calories means <=5000 calories
So , the inequality that represents Denise's goal is
calories burn in h hours <= 5000 calories
Learn more : brainly.com/question/381815
