Answers:
<h2>7. 12</h2><h2>8. -√18</h2><h2>9. √220</h2>
Step-by-step explanation:
To find out which is greater, we must eliminate the radical symbol.
#7
= 9.38083151965
9.4 < 12
#8
= -4.24264068712
-4.2 > -6
#9
= 14.8323969742
14.5 < 14.8
I'm always happy to help :)
The best way to compare fractions would be to make them have like
denominators. We first , in this case, need to convert from decimal to
fraction.
Converting decimals to fractions first requires an
understanding of the decimal places that fall after the decimal. One
place after the decimal is the tenths place. If you have a decimal that
ends at one place after the decimal (or in the tenths place) it can be
written as the number after the decimal in the top of the fraction and
ten (tenths place) in the denominator. ex. .5 ends one place after
the decimal and can be written as 5/10...(read as five tenths).
If a decimal ends at two places after the decimal...(ex. .75)...it
ends in the hundredths place, can be written as that number in the
numerator and 100 in the denominator....(ex 75/100) and is read as
seventy-five hundredths.
one place after the decimal is tenths (over 10), two places is
hundredths (over 100), three places is thousandths (over 1000) , four
places ten-thousandths (over 10000) and so on.
Because each decimal in your problem has a different amount of
decimal places, it makes for different denominators. But, We can add a
zero to the end of a decimal without changing it's value; if we add a
zero to the end of .5 and make it .50 , we then can write it as 50/100
and would now have like denominators.
if .5 = .50 = 50/100 and .75 = 75/100
we now have the question what fractions can fall between 50/100 and 75/100.
That would be fractions such as 51/100, 52/100, 53/100.......74/100.
Answer:
Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
Step-by-step explanation:
We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.
So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;
Z =
~ N(0,1)
where,
= average age of the random sample of horses with colic = 12 yrs
= average age of all horses seen at the veterinary clinic = 10 yrs
= standard deviation of all horses coming to the veterinary clinic = 8 yrs
n = sample of horses = 60
So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(
12)
P(
12) = P(
) = P(Z
1.94) = 1 - P(Z < 1.94)
= 1 - 0.97381 = 0.0262
Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
Answer:
65
Step-by-step explanation:
Answer:
The distance from point A to the top of the building is 5
feet
The Height of the Skyscraper is 5 feet
Step-by-step explanation:
Given
Let Top point of building be point C
Also Let Base of the building be point B
Distance from point A to base B of the building AB= 5 feet
∴ It makes a Right angle triangle
Also ∠ACB = 45°
Also tan 45° = 1
Now tan ∠ACB =
∴ AB= BC =5 feet
The Height of the Skyscraper is 5 feet
Now Triangle ABC is right angle triangle with right angled at B
So by Pythagoras theorem
AC= 
The distance from point A to the top of the building is 5
feet