Which expression is equivalent to startroot startfraction 2 x superscript 5 baseline over 18 endfraction endroot? assume x greater-than-or-equal-to 0.
The expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].
The given expression is [tex]\sqrt{\frac{2x^{5} }{18} }[/tex].
We can write the above expression as [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex]
What is the square root of [tex]x^{2}[/tex] and 9?The square root of [tex]x^{2}[/tex] i.e. [tex]\sqrt{x^{2} } =x[/tex] and same for [tex]\sqrt{9} =3[/tex].
So, we can write the expression [tex]\sqrt{\frac{2.x^{2} .x^{2} .x}{2*9} }[/tex] as [tex]\frac{x.x\sqrt{x} }{3}[/tex].
So, [tex]\frac{x.x\sqrt{x} }{3}= x^{2} \frac{\sqrt{x} }{3}[/tex].
Therefore, the expression that is equivalent to [tex]\sqrt{\frac{2x^{5} }{18} }[/tex] is [tex]x^{2} \frac{\sqrt{x} }{3}[/tex].
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I don’t know how to do this because my teacher doesn’t teach us anything.
Answer: Choice D)
He needs to square each deviation in the numerator.
==========================================================
Explanation:
The sample standard deviation involves these steps
Find the sample mean xbar.Subtract the xbar value from each data point. This gets us the list of deviations or how far each person is from the mean.Square each difference in the previous stepAdd up the squares from step 3. This is referred to as the Sum of the Squared Errors (SSE)Divide the SSE over n-1. If Toby was doing a population standard deviation, then he'd divide over n instead of n-1. However in much of statistics, we don't know much about a population and instead rely on sample statistics.The result of step 5 gets the variance. Apply the square root to the variance to get the standard deviation.The step 3 highlighted in bold is where Toby made an error. He subtracted xbar from each person correctly, but forgot to square those deviations. The squaring is done to ensure we don't have any negative deviations.
This is what his work should look like when calculating the sample standard deviation
[tex]s = \sqrt{\frac{(6-7)^2 + (5-7)^2 + (9-7)^2 + (8-7)^2}{3}}[/tex]
How many heads would you expect if you flipped a coin twice? first, fill in the table below with the correct probabilities. hint: the sample space for flipping a coin twice is {hh, ht, th, tt}. a 4-column table has 2 rows. the first column has entries number of heads and probability. the second column has entries 0, a. the third column has entries 1, b. the fourth column has entries 2, c. a = b = c =
The value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The 4-column 2 rows table which shows the number of heads and probability of that is shown below.
Heads 0 1 2
Probability. a b c
When a coin is flipped two times, then we get the four outcomes. The sample space for flipping a coin twice is,
[tex]{HH, HT,TH, TT}[/tex]
Here, the H represent the head and T represent the tail. Only one time in four events there is no head appear. In this sample space, the probability of 0 heads both the time is,
[tex]P_0=\dfrac{1}{4}=0.25[/tex]
The 1 head appears twice in the sample space (HT, TH). Thus, the probability of 1 heads both the time is,
[tex]P_1=\dfrac{2}{4}=0.50[/tex]
On both flip, head appears a single time in the sample space (HH). Thus, the probability of 2 heads both the time is,
[tex]P_2=\dfrac{1}{4}=0.25[/tex]
The new table for these values is attached below.
Hence, the value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
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Answer:
A: 1/4
B: 1/2
C: 1/4
The expected value for the number of heads is:
1
I hope this helped; You got this!!
11. The tree diagram below illustrates the possible outcomes of two tosses of a balanced coin.
Heads
Heads
Tails
Heads
Tails
Tails
What is the probability that heads will come up on at least one of the tosses?
6. What is the measure of each exterior angle
of a regular decagon?
a.45°
B.36°
C. 30°
d. 40°
Answer:
36° .⠀
Explanation :
⠀
For a regular polygon of n sides, we have
[tex]\bf \longrightarrow \qquad Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)}^{ \circ} [/tex]
⠀
Here, We are to find the measure of each exterior ange of a regular decagon.
⠀
So, we know a regular decagon has 10 sides, so n = 10 .⠀
Now, substituting the value :
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]
⠀
[tex] \pmb{\bf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }[/tex]
⠀
Therefore,
The measure of each exterior angle of a regular decagon is 36° .Answer:
It is 36 degrees because the out side is equal to 360 degrees
If you divide that by ten you get 36 for each angle
Step-by-step explanation:
HELP ME AND I WILL GIVE BRAINLIEST I REALLY NEED HELP
Find the value of x in this case-
Answer: 22 degrees
Step-by-step explanation:
2x – 2y = 24
4x + 7y = –40
Answer:
Step-by-step explanation:
#4 and #5 find the slope in the graph MULTIPLE CHOICE
Answer: The first answer would be C. The second answer would be B
Step-by-step explanation:
draw a right triangle between the points (4, 3) & (-4, -1) for the first one as for the second use the points (0, 4) and (-1, -3)
and use the formula
[tex]m = \frac{rise}{run} [/tex]
Find the circumference of a circle with a radius of 25.83 inches to the nearest tenth of an inch
Answer:
162.3 in^2
Step-by-step explanation:
C=2πr=2·π·25.83≈162.29468in
Pls help will mark as brainliest and give points
Answer:
y= 4x+2
Step-by-step explanation:
Remember slope is rise over run. From the y-int the next point is up 4 units and right 1. The slope formula is Y2-Y1/X2-X1 so 6-2/1-0= 4
Is this transformation rigid or non-rigid?
i thin kits rigid
Step-by-step explanation:
Brandon bought three pounds of bananas for $1.35. How much would ten pounds of bananas cost at the same price per pound?
Select all correct conversions. 345 m = 0. 345 km
1. 7 cm = 17 mm
343 m = 34. 3 cm
4. 7 m = 47,000 mm
1. 25 km = 1,250 m
Answer:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Step-by-step explanation:
The answer is 1.25 km = 1,250
1.7 cm =17 mm
345 m = 0.345 km K12 test.
Given that q(x) = 6 -5x and q(x) =21 x=
Answer:
x = -3
Step-by-step explanation:
6 - 5 ( -3 ) = 21
21 = 21 ✅
The ratio of cats to dogs is 4:5 if there are 20 dogs how many are there
Answer:
16
Hope it helps!
The L.C.M of 6 and 15 is what? first person Brainliest answer
Answer:
The LCM of 6 and 15 is 30
Step-by-step explanation:
6 and 15 are both divisible by 30.
Answer:
30
Step-by-step explanation:
multiples 0f 6 are 6, 12, 18, 24, 30, 36, .......
multiples of 15 are 15, 30, 45, 60, .......
the LCM of 6 and 15 = 30
does anyone have any ideas that i could write for my short story please??? i need help :(((
The mode in
11, 6, 7, 7, 4?
3, 4, 4, 4, 6, 7, 6, 9, 2?
3, 6, 7, 9, 4, 4?
4, 9, 16, 11, 8, 1, 4?
Answer:4
Step-by-step explanation:
organize:
1
2
3 3
4 4 4 4 4 4 4 4
6 6 6 6
7 7 7 7
8
9 9 9
11 11
16
what appears the most : 4
Please help me out, I don't get it
Karana's mom bought her two items using a credit card. The first item cost $254, and the second item costs $388. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
Answer: the amount owed to the credit card company after returning both items is $642
Step-by-step explanation:
$254+$388= $642
Answer:
-642
Step-by-step explanation:
16.9 divided by 4? please show your work, thank you!
Answer:
4.225
Step-by-step explanation:
16.9/4 = 4.225
........
pls help mee!!
find the area of the composite shapes
Number 4 is is 46m u are going to ad all the numbers in number 4
Number 5 is 26m u are going to do the same thing like number 4,5,6
Number 6 is 54m
The length of a rectangle is four times its width, If the perimeter of the rectangle is 90 m, find its length and width.
Answer:
detail answer is given go through it .....
Given mn, find the value of x. + >m (8x+5)° (4X-17)°
what is at the end of a rainbow
Answer:
A pot of Gold supposedly with a leprechaun next to it
Step-by-step explanation:
Answer:
You can't reach the end of the rainbow because a rainbow is kind of like an optical illusion. A rainbow is formed because raindrops act like little prisms. So no matter how you move, the rainbow will always be the same distance away from you. That's why you can never reach the end of the rainbow.
720 students took part in the survey. Only 45% were female.
How many males took part in the survey?
Answer:
396 males
Step-by-step explanation:
First, let's find the percentage of males who took part in the survey.
100% - 45% = 55%.Now, let's find 55% of 720.
Step 1: Multiply 55 by 720
55 × 39600Step 2: Divide 39,600 by 100.
39600/100396 malesHave a lovely rest of your day/night, and good luck with your assignments! ♡
The number of males took part in the survey is 396.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 720 students took part in the survey.
Only 45% were female.
So, the number of females = 45% of 720
= 45/100 ×720
= 0.45×720
= 324
So, number of males = 720-324
= 396
Therefore, the number of males took part in the survey is 396.
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A tree that is 9 feet tall casts a shadow that is 27 feet long. How
long will the shadow be of a tree that is 20 feet tall?
Answer:
60 feet
Step-by-step explanation:
9 / 27 = 20 / x
cross multiply and divide
9x = 540
x = 60
How much energy does it take to melt 2 kg of ice? (Refer to table of
constants for water.)
1 mol
O A. 2 kg > 1000 g/kg *
18.02 g
X
x 40.65 kJ/mol = 4512 kJ
1 mol
B. 2 kg x 1000 g/kg *
*(-285.83 kJ)/mol = -31,724 kJ
18.02 g
O C. 2 kg > 1000 g/kg x
1 mol
18.02 g
x 6.03 kJ/mol = 669 kJ
O D. 2 kg > 1000 g/kg *
1 mol
18.02 g
x 4.186 kJ/mol = 465 kJ
The energy that it takes to melt 2 kg of ice is; (2 kg * 1000 g/kg) * 1 mol/18.02 g * 6.03 kJ/mol = 669 kJ
What is the energy required?
We are given;
Mass of ice; m = 2 kg
Now, from tables showing constants for ice, we see that;
Molar heat of fusion for ice; Δ_fus.H = 6.03 kJ/mol at 0°C.
Molar mass of Ice which is water is; 18.02 g/mol
Formula to get the energy is;
E = (m/M) * Δ_fus.H
E = (2 kg * 1000 g/kg) * 1 mol/18.02 g * 6.03 kJ/mol = 669 kJ
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The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?
Answer:
75
Step-by-step explanation:
The measure of two supplementary angles = 15:21
The angles are 15x , 21x
15x + 21x = 180 {Supplementary}
36x = 180
x = 180/36
x = 5
Smallest angle = 15 * 5 = 75
i think of a number, half it and subtract four
Answer:
-2
Step-by-step explanation:
I thought of the number 4
Divide 4 by 2
2
2 - 4 = -2
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Answer:
12-4=8
Step-by-step explanation:
12-4 = 8