Answer: 1720
Step-by-step explanation:
How do I solve this?”USING SIMPLIFYING RADICALS WITH VARIABLES”
Answer:
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{72a^8b^5[/tex]
Required
Simplify
Express 72 as 36 * 2
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8b^5}[/tex]
Express [tex]b^5[/tex] as [tex]b^4*b[/tex]
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8*b^4*b}[/tex]
Reorder
[tex]\sqrt{72a^8b^5} = \sqrt{36 *a^8*b^4* 2*b}[/tex]
Split:
[tex]\sqrt{72a^8b^5} = \sqrt{36} *\sqrt{a^8} *\sqrt{b^4} * \sqrt{2*b}[/tex]
Simplify each term
[tex]\sqrt{72a^8b^5} = 6 * a^{\frac{8}{2}} * b^{\frac{4}{2}} * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6 * a^4 * b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse remains hopeful, since on any given day independently there is a 6% chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Milhouse goes longer than a month without a smile from Lisa
Answer:
15.6%
Step-by-step explanation:
Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...
94% / 100 = 0.94
[tex]0.94^{30}[/tex] = 0.156
Now we can turn this decimal into a percentage by multiplying by 100
0.156 * 100 = 15.6%
Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%
Using the binomial distribution, it is found that there is a 0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.
For each day, there are only two possible outcomes, either Lisa smiles at him, or she does not. The probability that she smiles at him on day is independent of any other day, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
On any given day independently there is a 6% chance that Lisa smiles at him, hence, [tex]p = 0.06[/tex].Considering a 30 day month, we have that [tex]n = 30[/tex].The probability that Milhouse goes longer than a month without a smile from Lisa is the probability of no smiles during 30 days, that is, P(X = 0), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.06)^{0}.(0.94)^{30} = 0.1563[/tex]
0.1563 = 15.63% probability that Milhouse goes longer than a month without a smile from Lisa.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
X Squared - 2x - 24 = 0
Answer:
x=−4 or x=6
Step-by-step explanation:
Tell whether each function is linear or non-linear.
Function A line1 Function B
x 0 1 2 3
y 0 1 8 27
y = –x + 5
Function A is non-linear and Function B is non-linear.
Function A is linear and Function B is non-linear.
Function A is linear and Function B is linear.
Function A is non-linear and Function B is linear.
Answer:
Function A is non-linear and Function B is linear.
Step-by-step explanation:
Linear function:
Has the following format:
y = mx + b
In which m is the slope and b is the y-intercept.
In a linear function, when x changes by 1, y will always changes by the same amount.
Function A:
When x changes by 1, y can change by various amounts. So function A is non-linear.
Function B:
y = -x + 5
In the format of a linear function, so linear
The temperature in fargo was -28 degrees on monday afternoon. by the evening it dropped an additional 15 degrees. what was the temperature in the evening
Please this is due in 5 minutes do it quick with step by step
Answer:
-43 degrees
Step-by-step explanation:
Start: -28 degrees
-28 degrees - 15 (dropped means subtract)
-28 - 15 = -43
Answer:
-43
Step-by-step explanation:
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
On Monday, a local hamburger shop sold a combined total of 276 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?
what percent of 157 is 119.3
Answer:
75.8 is your answer
Step-by-step explanation:
119:157*100 =
(119*100):157 =
11900:157 = 75.8
Answer:
187.301 is 157% of 119.3
Step-by-step explanation:
mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent
Given:
Purchasing price = 6.1 lakh
Amount spent of repair = 30000
Selling price = 8 lakh
To find:
The gain percentage.
Solution:
We have,
Purchasing price = 6.1 lakh
Amount spent of repair = 30000 = 0.3 lakh
So, total cost price is
[tex]C.P.=6.1+0.3[/tex]
[tex]C.P.=6.4[/tex]
The total cost price is 6.4.
Selling price(S.P.) = 8 lakh
Now,
[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]
[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]
[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]
[tex]Gain\%=25\%[/tex]
Therefore, the gain percent is 25%.
Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides
to stack only nine so that his tower does not topple over. How tall is the tower with the nine
blocks
Answer:
90 inches tall
Step-by-step explanation:
5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90
whats it the anwser for this 27 + y < 10
Answer:
Simplifying
27 + y = 10
Solving
27 + y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + y = 10 + -27
Combine like terms: 27 + -27 = 0
0 + y = 10 + -27
y = 10 + -27
Combine like terms: 10 + -27 = -17
y = -17
Simplifying
y = -17
Step-by-step explanation:
david makes a pizza with 8 slices of equal size. He covers 5 of the 8 with pepperoni. what percent of the pizza is covered with pepperoni.
A. 17.5%
B. 40%
C. 58%
D. 62.5%
Answer:
D
Step-by-step explanation:
5 ÷ 8 = 0.625 = 62.5%
3 3/10 divided by 1 4/7. divided in its lowest terms
Answer:
2.1
Step-by-step explanation:
Haley draws a picture to show 8 / 2 which picture could be Haley's
Answer:
.. ..
.. ..
Step-by-step explanation:
8/2=4
Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:
Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)
Solve the system of equations
Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week (5 school days). What is the cost of each snack? Write and solve an equation to model the situation. SHOW EVERY STEP.
Answer: 1.25
Step-by-step explanation: 28.75 ÷ (5 school days) so for one day the cost is $5.75 then subtract $4.50 and you get 1.25
i have a feeling this is it
Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when the stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up
Answer:
The answer is "[tex]\bold{\frac{6}{10}}[/tex]"
Step-by-step explanation:
[tex]\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6[/tex]
That's why the answer is [tex]\to \frac{6}{10}[/tex]
A local charity is selling seats to a baseball game. Seats cost $16 each, and snacks cost an additional $4
each. The charity needs to raise $160 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 5 seats are sold.
Step-by-step explanation:
16$ per seat
*5 seats 16 * 5 = 80
80$ for 5 seats
160$ - $80 = 80$
The remaining money is 80 dollars which need to be spent on snacks:
4$ per snack
80$ / by 4$ = 20 snacks
Work ✔:
20 snacks = 80$
5 seats = 80$ Charity Goal = 160$
80$ + 80$ = 160$
Final answer:
The charity must sell 20 snacks to every five seats to reach the charity goal of 160$
Hope this Helps! :D
2.) Prime fact of 80 ?
Step by step please
Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?
QUICK ASAP PLS
Answer:
Step-by-step explanation:
66
Simon makes a model of a boat, using a scale of 1:30
If the model has a height of 40 cm, find the height of the real boat.
give your answers in metres
Answer:
12 meters
Step-by-step explanation:
30 times 40 = 1200
100 cm in a meter
1200/100= 12
write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
Kayla charges $15 for a bracelet, plus $0.80 for each letter bead that is put on the bracelet. Which expression represents the total cost of a bracelet with x letter beads?
Group of answer choices
15.80 + x
15.00x + 0.80
15.00 + 0.80x
15.80x
Answer:
The answer is 15.00+0.80x
Step-by-step explanation:
I know because I just did this question Lol-
Can someone please helpppp me out I need serious help .
Answer:
The graph would be:
21 17
12 4
Step-by-step explanation:
Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.
Answer:
The observed value of the chi-square statistic is 34.71
Step-by-step explanation:
Given the data in the question';
Calculate the observed value of the chi-square statistic
The chi-square statistic will be;
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]
here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class
E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class
[tex]_{i}[/tex] = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly
so
∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112
∈1 = n × probability of guessing correctly 168 × 1/3 = 56
so
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]
= 1296/56 + 1296/112
= 23.14 + 11.57
= 34.71
Therefore, the observed value of the chi-square statistic is 34.71
A 270 inch board is cut into two pieces one piece is 4 times the length of the other, find the length of the shorter piece
Answer:
54 inches
Step-by-step explanation:
let 4x = the bigger piece
let x = the smaller one
4x + x = 270
5x = 270
x = 54
Answer:
54 inches
Step-by-step explanation:
x + 4x = 270
5x = 270
x = 54 (shorter piece)
4x = 216 (longer piece)
PLEASE HELP!
|−1.25| + |2.5|
Explanation
-1.25+2.5=1.25
Answer:
1.25 is the answer .......
Step-by-step explanation:
hello will u be friend with me
Explain the relationship between the following:
Radius & Diameter
Diameter & Circumference
- Radius & Circumference
Answer:
Step-by-step explanation:
isn't circumference the whole circle
and radius is the center from the outside