Answers
7). 1/(√7-√11)
= 1×(√7+√11)/(√7-√11)(√7+√11)
= √7+√11 / (√7)² - (√11)²
= √7 + √11 / 7 - 11
= √7 + √11 / (-4)
EXPLAINATION:
to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.
For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .
Related Questions
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Is this an example of a sample proportion OR a sample mean?
Answers
Answer:
sample mean
Step-by-step explanation:
Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]The mean and the standard deviation of the sampling distribution of sample proportions are given by:
[tex]\mu = p = 0.55[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]
The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]
[tex]Z = -1.01[/tex]
[tex]Z = -1.01[/tex] has a p-value of 0.1562.
0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Find measure of angle WZY.
Answers
Answer:
the answer is 4
Step-by-step explanation:
8x-1=5x+11
3x=12
x=4
Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *
Answers
Answer:
10x=y.
Step-by-step explanation:
10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)
Answer:
y = 10x
Step-by-step explanation:
The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.
y equals 10 times x, or, in equation form, y = 10x.
I hope this helps ^^
Multiply and simplify.
3/7 x 5/9
Answers
Answer:
[tex]\frac{5}{21}[/tex]
Step-by-step explanation:
1) [tex]\frac{3}{7} *\frac{5}{9}[/tex]
Reduce the numbers with the greatest common factor : 3
2) [tex]\frac{1}{7} *\frac{5}{3}[/tex]
Multiply the fractions.
3) [tex]\frac{5}{21}[/tex]
when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft above the ground. About how long is ladder?
Answers
30 is what percent of 500
Answers
Answer:
6%
Step-by-step explanation:
30/ 500 = x/100
30*100= 3,000
3,000 / 500 = 6
it would be 6% hope this helps
A letter is chose at random from the word PROGRESSIVENESS. Find the probability that the letter is an E, given it is a vowel.
2/5
4/15
1/5
3/5
Answers
Answer:
1/5
Step-by-step explanation:
there is 3 e's out of a 15 letter word
reduces down to 1/5
Consider two functions: g(x)=−x^2−6x and the quadratic function f(x) shown in the table.
Which statements are true?
Answers:
f(x) is greater than g(x) on the interval (0,3)
g(3) is less than f(3)
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Answers
Answer:
The average rate of change of f(x) is greater than g(x) on the interval [0,3]
Step-by-step explanation:
:)) Hope it helps!!
ABC is a right triangle. calculate the length of side BC (the hypotenuse)
Answers
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Find the least common multiple of 6c^3 and 15y
Answers
Answer:
The answer is 30c^3y
Step-by-step explanation:
The LCM is the smallest number that all the numbers can divide in.
5. y=12
Point:
Slope:
What are or is the point. And what’s the slope
Answers
Answer:
Slope=0
Step-by-step explanation:
Point=Y
What two numbers multiply to get 18 but add to get -12
Answers
Answer:
-6+3[tex]\sqrt{2}[/tex] and -6-3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
xy = 18
x+y = -12
y = -12-x
substitution method:
x(-12-x) = 18
-12x - x² - 18 = 0
-x² - 12x - 18 = 0
-(x² + 12x + 18) = 0
used quadratic formula:
(-12±√144 - 4(18)) ÷ 2
(-12 ± [tex]\sqrt{72}[/tex]) ÷ 2
(-12 ± 6[tex]\sqrt{2}[/tex]) ÷ 2
= -6 ± 3[tex]\sqrt{2}[/tex]
No Solutions
2x + 9 + 3x + x =
One Solution
2x + 9 + 3x + x =
x +
Infinitely Many Solutions
2x + 9 + 3x + x =
Answers
Answer:
.
Step-by-step explanation:
what do I do and how
Answers
Answer:
f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.
Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.
So, f(7) = 9.
You can then apply this to the rest of the numbers you are given.
I hope this helps! :)
easy algebra question below first correct answer gets brainliest if you put a link you will be blocked and reported
Answers
Answer:
option d is the correct answer
BRAINIEST TO WHOEVER RIGHT
Answers
Answer:
median is 8 it's always the middle, play the elimination game
y=13 is a solution to the inequality y+4<16
Answers
Answer:
No
Step-by-step explanation:
First subtract 16 from both sides
y + 4 < 16y + 4 - 16 < 16 - 16y - 12 < 0 So 0 has to be greater than whatever is on the leftIf y = 13 is put into the inequality you get 13 - 12 < 0.What is ultimately true is that 1 < 0 Is 1 smaller than 0?No13 is not a solution to the original inequality.
What is the advantage of valence number?
Answers
Answer:
The presence of many unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take participate in the formation of chemical bonds as per the valence bond theory.
HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(
Answers
Answer:
Hey I did a few for you :)
Step-by-step explanation:
Hope this helps!
Have a nice day<3
cuanto es la raiz cuadrada de 123
Answers
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
[tex]\sqrt{123} =11.090[/tex]
Answer:
Step-by-step explanation:
11.0905365064
solve for x and y x+y=a;x-y=b
Answers
Answer:
x = a + b - a/ 2
y = - b - a/ 2
Step-by-step explanation:
Some one please help me get the answer
If you get it correct, I will give you a lot of points
Answers
Answer:186
Step-by-step explanation:
2. A jeweler bought an antique watch for $500. He then sold it in his store $850. What was the percent of change in the price of the watch? Show work here A. 41.2% decrease B. 41.2% increase C. 70% decrease D. 70% increase
Answers
Answer:
70% increase
Step-by-step explanation:
Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?
A. 4(178.85)
B. 4(12)(178.85)
C. 4(12)(178.85) − 8000
D. 4(8000)(0.035)
Answers
What do the signs need to be to multiply to get a positive and add to get a negative ?
Answers
A broker charges 70 per square foot to install windows how much does it cost to install the windows shown
Answers
which of with of the following would be the most appropriate unit to weigh a single medicinal pill
Answers
Answer:
hi, I need the weights provided in the question to answer this question
20 points!! Pls help me out!!
Answers
Answer: C. J=5
Step-by-step explanation: Hope this help :D
I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 2)
2. Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)
Part I: What is the rule of 72? To represent the annual interest rate, use r.
Part II: What equation can Mauricio set up to solve for the annual interest rate he needs to double his money by the time he retires?
Part III: What annual interest rate does Mauricio need to double his money by the time he retires?
Answers
Answer: What expression can Melanie write to figure out how much her ... Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72.
Step-by-step explanation: I did what I could man
what two numbers multiply to 16 and add to -10?
Answers
Answer:
-2 and -8
Step-by-step explanation:
-2 x -8 = 16
-2 + -8 = -10
Answer:
1 and -16
Step by step:
1 x -16 = -16
1 + (-16) = -15