Applying the square root of the variance, the standard deviation of the distribution is of 13.964.
What is the standard deviation of a distribution?The standard deviation of a distribution is given by the square root of the variance of the distribution.
For this problem, the variance of the distribution is of 195, hence the standard deviation is:
s = sqrt(195) = 13.964.
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Simplify a^7 b^2 a^-9
Select one:
O a. a^2/ b²
O b. a^8 b^2
O c. a^2 b^2
O d. b^2/a ²
The answer to the given question is b²/a²
The power of a number tells us how many times that number must be multiplied. Exponents and indexes are other names for powers. For instance, 8² denotes "8 squared," "8 squared," or just "8 squared."
A power is just an expression that denotes repeatedly multiplying the same number or factor. The exponent value depends on how frequently the base has been multiplied by itself.
For instance, 8 x 8 x 8 x 8... times is 8. The phrase 8n above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.
a⁷ b² a⁻⁹
= a⁽⁷⁻⁹⁾ b²
= a⁻² b²
= b² / a²
Therefore, The value of the given equation is b²/a²
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HELP PLEASE PLEASE 100 POINTS
Answer:
x=29
z=13
<RIG= 59°
<ZIM=31°
step-by-step explanation:(vertically opposite angles)
<ZIA=<MIG
3x-56=x+2
group like terms
3x-x=56+2
2x=58
divide both side by the coefficient of x
2x/2=58/2
x=29
<RIG+<GIM=90°
4z+7+x+2=90°
where x=29
4z+7+29+2=90°
4z+38=90°
make for 4z the subject
4z=90°-38°
4z=52°
let z stand alone
4z/4=52/4
z=13
<RIG=4z+7
where z=13
4(13)+7
52°=RIGZ
<ZIM=x+2
where x =39+2
x=31°
Answer:
x = 29
z = 13
Angle RIG = 59 deg.
Angle ZIM = 41 deg.
Step-by-step explanation:
So we know that angle ZIA = angle MIG
3x - 56 = x + 2
We can solve this equation
2x = 58
x = 29
Next, angle RIG + GIM = 90 degrees.
So if we do 4z + 7 + x + 2 = 90 degrees when x = 29, we can plug x in.
4z + 7 + 29 + 2 = 90 degrees
4z + 38 = 90 degrees
4z = 90 - 38
4z = 52
z = 13
Angle RIG = 4z + 7
We know that z = 13
4 * 13 + 7 = 52
Therefore RIGZ = 52 degrees.
Angle ZIM = x + 2
x = 39 + 2
x = 41
Find the y intercept slope and equation
picture below
without further Ado, let's pick two points off the table, check the picture below, and let's roll on.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} \implies \cfrac{-3}{2 +1} \implies \cfrac{ -3 }{ 3 }\implies -1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-1)}) \implies y -3= -1 (x +1) \\\\\\ y-3=-x-1\implies {\LARGE \begin{array}{llll} y = -x+2 \end{array}} \qquad \impliedby \stackrel{y-intercept}{(0~~,~~2)}[/tex]
please help with problem 25
I am writing this because the app says the answer is to short
solve following expressiong when
k = 12
answer right for 5 star and brainliest
(4k+2) divided by 10
Answer:
5
Step-by-step explanation:
Given expression:
(4k + 2) ÷ 10when k = 12
substituting k = 12 in equation
⇒ (4(12) + 2) ÷ 10
⇒ (48 + 2) ÷ 10
⇒ 50 ÷ 10
⇒ 5
Which of the following is a false statement?
A
Banks are insured by the government.
B
Money can be stolen or lost if you keep it at home.
C
If your bank goes out of business, you lose your money.
D
Your money can grow if you keep it in a bank account.
C ) If your bank goes out of business, you lose your money is a false statement .
Since banks are insured by FDIC . So if a bank becomes dissolves or becomes bankrupt FDIC covers the loss of customers of bank upto a certain limit .
A ) Banks are insured by the government.
This is a true statement .
B ) Money can be stolen or lost if you keep it at home . Even this is a true statement .
D ) Your money can grow if you keep it in a bank account . This is also a true statement .
Hence , C ) If your bank goes out of business, you lose your money is a false statement .
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frames covered with shade cloth), (2) control (pvc frames only), and (3) warmer (pvc frames covered with plastic). one of the article’s authors kindly supplied the accompanying data on the d
(1) Frames covered with shade cloth mean = 1.71 and standard deviation = 0.401
(2) control pvc frames only mean = 19.26 and standard deviation = 0.536
(3) warmer (pvc frames covered with plastic) mean = 2.08 and standard deviation = 0.774.
(1) Using the cooler mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X} \text {-mean })^{2} \\& 1.59 & 0.0144 \\& 1.43 & 0.0784 \\& 1.88 & 0.0289 \\& 1.26 & 0.2025 \\& 1.91 & 0.04 \\& 1.86 & 0.0225 \\& 1.9 & 0.0361 \\& 1.57 & 0.0196 \\& 1.79 & 0.0064 \\& 1.72 & 0.0001 \\& 2.41 & 0.49 \\& 2.34 & 0.3969 \\& 0.83 & 0.7744 \\& 1.34 & 0.1369 \\& 1.76 & 0.0025 \\\text { Total } & 25.59 & 2.2496\end{array}[/tex]
Sample size
[tex]$$n=15$$[/tex]
Sample sum:
[tex]$$\sum x=25.59$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=25.59 / 15 \\&=1.71\end{aligned}$$[/tex]
Sample standard deviation:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.2496 /(15-1)) \\&=0.401\end{aligned}[/tex]
(2) Using the control mean and SD:
The calculations are shown in the table below:
[tex]\begin{array}{lll} & \mathrm{X} & (\mathrm{X}-\text { mean })^{2} \\& 1.92 & 0.0289 \\& 2 & 0.0625 \\& 2.19 & 0.1936 \\& 1.12 & 0.3969 \\& 1.78 & 0.0009 \\& 1.84 & 0.0081 \\& 2.45 & 0.49 \\& 2.03 & 0.0784 \\& 1.52 & 0.0529 \\& 0.51 & 1.5376 \\& 1.9 & 0.0225 \\\text { Total } & 19.26 & 2.8723\end{array}[/tex]
Sample size:
[tex]$$n=11$$[/tex]
Sample sum:
[tex]$$\sum x=19.26$$[/tex]
Sample mean:
[tex]\begin{aligned}s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(2.8723 /(11-1)) \\&=0.536\end{aligned}[/tex]
(3) Assuming a warmer mean and SD:
The calculations are shown in the table below:
[tex]$\begin{array}{lll} & \mathrm{X} & (\text { X-mean })^{2} \\ & 2.57 & 0.3969 \\ & 2.6 & 0.4356 \\ & 1.93 & 0.0001 \\ & 1.58 & 0.1296 \\ & 2.3 & 0.1296 \\ & 0.84 & 1.21 \\ & 2.65 & 0.5041 \\ & 0.14 & 3.24 \\ & 2.74 & 0.64 \\ & 2.53 & 0.3481 \\ & 2.13 & 0.0361 \\ & 2.86 & 0.8464 \\ & 2.31 & 0.1369 \\ & 1.91 & 0.0009 \\ \text { Total } & 29.09 & 8.0543\end{array}$[/tex]
Sample size:
[tex]$n=14$[/tex]
Sample sum:
[tex]$$\sum x=29.09$$[/tex]
Sample mean:
[tex]$$\begin{aligned}\bar{x}=\frac{\sum x}{n} &=29.09 / 14 \\&=2.08\end{aligned}$$[/tex]
Sample standard deviation:
[tex]s=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} &=\sqrt(7.7883 /(14-1)) \\&[/tex]
[tex]=0.774[/tex]
Hence, these are the different samples of mean and standard deviation.
What does "standard deviation" mean?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
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3x-6y=6. Solve for y
-2(3x + 6) > 4(x + 7)
Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and.
Review Andrew’s work, identify the error and correct all work from that point forward that is affected by this error. Include at least one sentence explaining his error. Use proper mathematical vocabulary, appropriately.
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
A polynomial equation is defined as:A polynomial equation is one in which a polynomial is set to zero. It is an equation composed of variables, non-negative integer exponents, and coefficients, as well as operations and an equal sign. It has various exponents. The highest one represents the equation's degree. To be a polynomial equation, the variable in the equation must contain only non-negative integer exponents. Specifically, variable exponents should be non-negative and neither negative nor fractional.
According to the given data:Given that, solution polynomial equation of the least degree has roots of 3, 2+2i, and 2-2i.
Now, x=3, x=2+2i and x=2-2i
x-3, x-2-2i and x-2+2i
So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0
=(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0
=(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0
=(x-3)(x²-2x-2x+4-4i²)=0
=(x-3)(x²-4x+4+4)=0 (∵i²=-1)
=(x-3)(x²-4x+8)=0
=x(x²-4x+8)-3(x²-4x+8)=0
=x³-4x²+8x-3x²+12x-24=0
= x³-7x²+20x-24=0
The supplied roots' polynomial equation is x³-7x²+20x-24=0.
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which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books
The following illustrate the examples of Qualitative data: (1) the eye color of children participating in after-school activities and (2) the traits of various bird species.
What is Qualitative data?Data that cannot be quantified or expressed in numbers are referred to as qualitative data.
Now,
(1) The time, in minutes, it took students to finish their exams: It is quantifiable data since the number of minutes it took pupils to complete their tests can be measured.
(2) The eye color of students involved in after-school activities: Since the eye color of students participating in after-school activities cannot be quantified, the information is qualitative.
(3) The characteristics of different types of birds: The characteristics of many bird species can never be quantified quantitatively; therefore, the information is qualitative.
(4) The scores on the last exam: It is quantitative data since the results of the last exam may be quantified and expressed in numbers.
(5) The weights of different books: It is quantifiable data because it is possible to measure the weights of various books.
Hence, the eye color of children participating in after-school activities and the traits of various bird species are examples of qualitative data.
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PLease Solve I will give 15 points its all i have
Answer:
qw1
Step-by-step explanation:
Solve 1/2 = 1/4(y + 1/8) for y.
y = 1/2
y = 3/4
y = 15/8
y = 3/2
Answer:
here :)
Step-by-step explanation:
If FG = 2x, GH = x-1, and FH = 5 what is GH?
Answer:
GH = 1
Step-by-step explanation:
Finding the value of x,
→ FG + GH = FH
→ 2x + x - 1 = 5
→ 3x = 5 + 1
→ x = 6/3
→ [ x = 2 ]
Now the value of GH is,
→ GH = x - 1
→ GH = 2 - 1
→ [ GH = 1 ]
Hence, the value is 1.
How do i solve this equation
3x^2+56x-7
Answer:
that is the answer
you cant simplify the equation further
3x ^ 2 + 56x - 7 is the answer
Step-by-step explanation:
Select two ratios that are equivalent to 5 :2
Answer:
35:14
Step-by-step explanation:
On calculator 5/2 =2.5
Try this choice to get the same percentage
Answer:
B = 10 : 4 & D = 35 : 14
Step-by-step explanation:
Hope this helps :)
if the sides in a parallelogram are 3 cm and 5 cm, can the diagonal in the parallelogram be 10 cm? 8 cm? 4 cm? why?
The diagonal of the parallelogram be 10 cm or 8 cm.
What is defined as the parallelogram?A parallelogram is just a quadrilateral with two parallel sides (and therefore opposite angles equal).
A rhombus is a quadrilateral to equal sides, while a rectangle is a parallelogram with all right angles. Furthermore, because a square is a degenerate situation of a rectangle, rectangles and squares are both special kinds of parallelograms.A parallelogram's opposite sides are all the same length.A parallelogram's adjacent or adjoining angles add up to 180°.A parallelogram's diagonals cross each other.For the given case.
The sides of the 3 cm and 5 cm. As, these two side are the adjacent sides of the parallelogram, the diagonal formed will be the closing side of the triangle.
As, the diagonal is the longest side of the triangle, thus its value must be greater than other side.
This is possible with the diagonal values of 10 cm and 8 cm.
Thus, 10 cm and 8 cm are the correct values for the diagonal of parallelogram.
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theater had 4100 seats the students left 19% of the seats vacant , how many students went on the trip
Answer:
3,321
Step-by-step explanation:
1-0.19=0.81
4100*0.81=3,321
3,321 students went on the trip.
Hope this helps!
Please mark as brainliest if correct!
show that these statements about the integer x are equivalent: (i) 3x 2 is even, (ii) x 5 is odd, (iii) x2 is even.
All the above statements are proved using proof by contraposition.
What is proof by contraposition?Proof by contrapositive, also known as proof by contraposition, is an inference technique used in mathematics where a conditional statement's contrapositive is used to infer the conditional statement's conclusion. To put it another way, the conclusion "if A, then B" is inferred by building a proof of the claim "if not B, then not A" instead. This method is frequently chosen if the contrapositive is more straightforward to establish than the first conditional statement.
The term "contraposition" describes a proving strategy known as "proof by contraposition," which involves drawing an inference from a conditional statement to its logically equivalent contrapositive. The antecedent and consequent of a sentence are inverted and flipped in the contrapositive.
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joyce paid $90 for an item at the store that was 40 percent of the original price. what was the original price?
Answer:
Step-by-step explanation:
answer is $100.00 is original price
40% of 100 = $90
PLEASE EXPLAIN THIS TO MEEEE (image included)
PLEASE GIVE ME AN EXPLANATION THAT I CAN REALLY UNDERSTAND
Answer:
first option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (3, - 4 )
m = [tex]\frac{-4-4}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find substitute either of the 2 points into the partial equation
using (1, 4 ) , then
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 4x + 8 ← equation of line
Answer:
A
Step-by-step explanation:
Substitute in the equation remove each x and put 1 if the result is 4 that's mean it's the true equation
Find the sum of the interior angle measures of 28-gon
Answer:
4680°/28 = 167.14°
Step-by-step explanation:
So, for a polygon with 28 sides, the sum of the measures of the interior angles is 26(180°) = 4680°. Since the polygon is regular, each interior angle has the same measure. So, the measure of each interior angle = 4680°/28 = 167.14°
Calculate (2.5 × 106) + (7 × 105)
Give your answer in standard form.
Answer:
hdshsjjkksjsjskskwiisiw
Solve the system by substitution or elimination.
y = 2x+8
y = 3x - 1
In the diagram below AB is parallel to CD. what is the value of y
Answer: 30 degrees ==> C
Step-by-step explanation:
y+150=180 ==> 150 is the alternate interior angle of angle y's supplementary angle. So, these two angles add up to 180.
y=30 degrees ==> C
Find the distance between the two points.
(-9,9) and (-16,33)
The distance is
(Type an exact answer, using radicals as needed.)
The distance between the given two points is 25.
The coordinates of two points given to us are (-9, 9) and (-16, 33).The length of the line segment connecting two places is defined as the distance between them. The length of the line segment connecting the specified coordinates can be used to compute the distance between two locations in coordinate geometry.The distance (d) between the two points whose coordinates are (x1, y1) and (x2, y2) is given by the formula:d² = (x2-x1)² + (y2-y1)² We will apply the above formula.d² = (-16-(-9))² + (33-9)²d² = (-16 + 9)² + (33-9)²d² = (-7)² + (24)²d² = 49 + 576d² = 625d = √625d = 25Thus, the distance between the given points is 25.To learn more about distance, visit :
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Write the expression that represents the area of the rectangle shown
3 7
Answer:3x7
Step-by-step explanation:Area is width x length. So 3x7.
Who were the aggressors in the war that is discussed in Zlata’s Diary? Bosnian Muslims Bosnian Croats Bosnian Serbs
Answer: The answer is the third option. Bosnian Serbs were the aggressors in the war that is discussed in Zlata’s Diary. This diary is a book by Zlata Filipović. It was written from 1991 to 1993 during the Bosnian war.
Step-by-step explanation: hope this helps!!!!
Given m/n find the value of x (8x+10)=(6x+30)
The value of x from the given expression is 10
Solving linear expressionsLinear function are functions that has a leading degrees of 1. Given the expression below;
(8x+10)=(6x+30)
Collect the like terms
8x - 6x = 30 - 10
2x = 20
Divide both sides by 2
2x/2 = 20/2
x = 10
Hence the value of x from the given expression is 10
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Malia and some of her friends are going rock climbing this weekend. In preparation, Malia purchased 8 sports drinks to bring, including 6 peach flavored drinks.
If Malia randomly chooses to place 4 drinks in the red cooler, what is the probability that all of them are peach flavored?
Write your answer as a decimal rounded to four decimal places.
Based on the fact that there are 8 sports drinks and 6 peach flavored drinks, the probability that all 4 drinks picked by Malia would be peach flavored is 0.2143.
What is the probability?The probability that all 4 drinks will be peach flavored can be found as:
= Probability of first drink being peach x Probability of second drink being peach + Probability of third drink being peach + Probability of fourth drink being peach
The probability of the drinks being peach flavored is:
= 6/8 x 5/7 x 4/6 x 3/5
= 0.2143
In conclusion, the probability that all the drinks are peach flavored is 0.2143.
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