The mean of a data is 52.4 and the standard deviation is 11.8.What percent of the data is between 40.6 and 64.2?
A.50%
B.68%
C.95%
D.99.7%

-6

To find the slope of the perpendicular line, start with the original slope, 1/6.

The slope of a perpendicular line is the opposite and inverse of the slope of the original line. So, start by finding the inverse. This is done by simply flipping the numerator and the denominator to get 6/1, which is simplified to 6.

Finally, find the opposite of 6. You can find the opposite of a number by multiplying or dividing it by -1. If it is a positive number, just add a negative sign, and if it is already a negative number, take away the negative sign. So, the opposite of 6 is -6, which is out final answer.

㏒[tex]13 = 1.11394335[/tex]

Round.

[tex]1.11[/tex]

The value of log 13 is 1. 11

Using a calculator, press in the log of 13

Log 13 = 1. 114

Rounding the value to the nearest tenth.

Log 13 = 1. 11

Therefore, the value of log 13 is 1. 11

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Answer:

[tex]y=3/x[/tex]  or [tex]yx=3[/tex]

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

so

in this problem we have

y=0.75 when x=4

Find the value of k

[tex]y*x=k[/tex]

[tex]k=0.75*4=3[/tex]

The equation is equal to

[tex]y=3/x[/tex]

using a graphing tool

see the attached figure

Answer:

Y=3/x is the correct answer

Answer:

5.832 in³

Step-by-step explanation:

The volume (V) of a cube is

V = s³ ← s is the length of the side

here s = 1.8, thus

V = 1.8³ = 1.8 × 1.8 × 1.8 = 5.832 in³

formula is a^3

a=edge

1.8^3=5.83in^3

volume = 5.832

Answer:

The perimeter of question #1 is 36. The second one is 24 then the third is 19 then 28 then 54

Step-by-step explanation:

Answer:

The perimeter of one is 36. The second one is 24. The third is 19. The fourth is 28. The last is 54.

Step-by-step explanation: Adding all the sides is how you find perimeter. Use πr + 2r, where r is the radius minus the side of the semicircle that touches the other shape since that is inside the shape.

Check the picture below.

so we have two parallel lines, notice, the 115° are corresponding angles and thus equal,  the 65° and 55° angles are linear angles to 115° and 125° respectively.

that leaves us with a triangle with 65° and 55°, and since all interior angles in a triangle sum up to 180°, then the last angle must be 60°, which has a twin vertical angle across the junction.

since a full revolution or a full circle go-around is 360°, the other two twin vertical angles next to the green 60° angles must be 360° - 60° - 60° = 240°, and since they're twins, each takes half of 240°.

Answer:

The common difference is -1/2

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and is called the common difference

we have

a1=2/3

a2=1/6

a3=-1/3

a4=-5/6

so

a2-a1=1/6-2/3=-1/2

a3-a2=-1/3-1/6=-1/2

a4-a3=-5/6-(-1/3)=-5/6+1/3=-1/2

therefore

The common difference is -1/2

Answer:

False

Step-by-step explanation:

The equation in slope-intercept form of a line is y=mx+b, where x and y can represent a point on the line by using the coordinates (x,y), m is the slope, and b is the y intercept.

To double check this equation, plug in the coordinates of the point (3,6) to make sure both sides of the equation equal to each other.

6 = -5(3) + 7

6 = -15 + 7

6 = -8

[tex]6 \neq -8[/tex]

Because the equation is invalid, the line does not pass through these points.

The statement is false because the equation y = -5x + 7 does not satisfy the point (3,6).

To determine if the equation y = -5x + 7 is the equation of a line that passes through the point (3,6) and has a slope of -5, we can plug the coordinates of the point into the equation to see if it satisfies the equation.

Substituting x = 3 and y = 6 into the equation gives us:
6 = -5(3) + 7,
which simplifies to:
6 = -15 + 7,
6 = -8, which is not true.

Therefore, the point (3,6) does not lie on the line with the equation y = -5x + 7. The equation y = -5x + 7 does, however, represent a line with a slope of -5, but since it does not pass through the point (3,6), the initial statement is false.

Answer:

83.28

Step-by-step explanation:

i did 668-85 and got 583 and i / it by 7

Answer:

Step-by-step explanation:

Given that there are only 7 days left until the launch of our new product and we only have 668.00 left in our promotion budget. We need to spend 85.00 on the last day.

Hence amount left for remaining 6 days = [tex]668-85 = 583[/tex]

This can be spent for the remaining 6 days

If equal amount to be sent then we get

[tex]\frac{583}{6} =97.17[/tex]

But we can round off and send in integral values means we can spread as

each day 100 dollars for first 5 days and on 6th day 83 dollars.

ANSWER

[tex] 3840 {m}^{3} [/tex]

EXPLANATION

The total amount of space is the volume of the composite solid.

We find the volume of the rectangular prism and add it to the volume of the triangular prism.

The total amount of space inside the museum is:

[tex] =l \times b \times h + \frac{1}{2} \times base \times height \times height \: of \: triangular \: prism [/tex]

[tex] = 30 \times 12 \times1 0 + 0.5 \times 12 \times 4 \times 10[/tex]

[tex]= 360 0 + 240[/tex]

[tex] = 3840 {m}^{3} [/tex]

Therefore,the total amount of space inside the museum is 3,840 cubic meters.

Answer:

Step-by-step explanation:

Answer:

[tex]P(A\:or\:B)=\frac{7}{11}[/tex]

Step-by-step explanation:

If the two events are disjoint, then P(A or B)=P(A)+P(B).

We were given that:

[tex]P(A)=\frac{4}{11}[/tex]

and

[tex]P(B)=\frac{3}{11}[/tex]

This implies that:

[tex]P(A\:or\:B)=\frac{4}{11}+\frac{3}{11}[/tex]

We simplify the right hand side to obtain:

[tex]P(A\:or\:B)=\frac{4+3}{11}[/tex]

[tex]P(A\:or\:B)=\frac{7}{11}[/tex]

Answer:

5/11

How I got my answer:

For overlapping events, you would subtract P(A and B) from the sum of P(A) and P(B).

In this case, you would do 4/11 + 3/11, which equals 7/11 minus 2/11, which equals 5/11.

Answer: The correct option is A.

Explanation:

The given function is,

To find the graph of this function after the reflecting across y-axis, first we have to find the graph of the equation.

The value of the function is 2 when x=0, so, the graph of given equation intersect the y-axis at 2.

In the equation . Since , so the given function is decreasing function

The value of f(x) is always positive, so the graph of f(x) is always above the x-axis. Thus, the graph must be above the x-axis after reflection across y-axis.

So, the option (2) and (4) and incorrect.

When we reflect the graph across the y-axis then,

It means when x approaches to large negative number the f(x) approaches to 0 and when x approaches to large positive number the f(x) approaches to infinite.

Therefore, the correct option is show in first graph.

Answer:

Step-by-step explanation:

[tex]n-number,\ n>0\\\\9n^2+8=44\qquad\text{subtract 8 from both sides}\\\\9n^2+8-8=44-8\\\\9n^2=36\qquad\text{divide both sides by 9}\\\\\dfrac{9n^2}{9}=\dfrac{36}{9}\\\\n^2=4\iff n=\pm\sqrt4\\\\n=\pm4[/tex]

hari was 7 then which would mean that Anushka was 2. now he is ten and she is five

because you add three more years to each to get present ages

Answer:  The present age of Hari is 10 years and that of Anushka is 5 years.

Step-by-step explanation:  Given that three years ago, Hari was 5 years older than Anushka  and he is now twice as old as she is.

We are to find their present ages.

Let x years and y years represents the present ages of Hari and Anushka respectively.

Then, according to the given information, we have

[tex](x-3)-5=y-3\\\\\Rightarrow x-8=y-3\\\\\Rightarrow x=y+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

and

[tex]x=2\times y\\\\\Rightarrow y+5=2y\\\\\Rightarrow 2y-y=5\\\\\Rightarrow y=5.[/tex]

From equation (i), we get

[tex]x=5+5=10.[/tex]

Thus, the present age of Hari is 10 years and that of Anushka is 5 years.

Answer:

E

Step-by-step explanation:

[tex]

y+8=4(x-5)

[/tex]

Put the the E coordinates.

[tex]

-8+8=4(5-5) \\

0 = 4\cdot 0 \\

\boxed{0=0\Longrightarrow E\in y+8=4x-20}

[/tex]

Hope this helps.

r3t40

By simplifying the given equation y + 8 = 4(x - 5) to y = 4x - 28 and substituting the points' coordinates, it is determined that Point B (5, 0) is the correct point that lies on the line described by the equation.

To determine which point lies on the line described by the equation y + 8 = 4(x - 5), we need to verify which of the given options, when substituted into the equation, will satisfy it. First, we will simplify the equation to its standard line equation form y = mx + b (where m is the slope and b is the y-intercept):

Now we can substitute the x and y values from each of the points into this equation and check which one holds true.

Thus, Point B (5, 0) is the point that lies on the line described by the equation.

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Answer:

9 proper fractions:

3/5,3/8,5/8,3/40,5/24,8/15,3/13,5/11,2/8

9 improper fractions:

8/3,8/5,5/3,24/5,40/3,15/8,11/5,13/3,8/2

Step-by-step explanation:

Proper fraction:

Proper fraction are the fractions in which the numerator is less than the denominator and the value of proper fractions is less than 1.

x/y is proper fraction if x<y and x/y<1

Improper fraction:

Improper fraction are the fractions in which the numerator is greater than the denominator and the value of proper fractions is more than 1.

x/y is improper fraction if x>y and x/y>1

Given numbers: 3,5,8

Making 9 proper and improper fractions with above given numbers with condition to use each number only once within a fraction.

nine proper fractions: (x/y is proper fraction if x<y and x/y<1)

3/5

3/8

5/8

3/(5)(8)= 3/40

5/(3)(8) = 5/24

8/(3)(5) = 8/15

3/(5+8) = 3/13

5/(3+8) = 5/11

(5-3)/8 = 2/8

nine improper fractions: (x/y is improper fraction if x>y and x/y>1)

8/3

8/5

5/3

(8)(3)/5 = 24/5

(8)(5)/3 = 40/3

(5)(3)/8 = 15/8

(3+8)/5 = 11/5

(5+8)/3 = 13/3

8/(5-3) = 8/2 !

Final answer:

To create proper and improper fractions using the numbers 3, 5, and 8, proper fractions must have a smaller numerator than the denominator, and improper fractions must have a larger numerator than the denominator. Nine examples of each type are provided using the given numbers and additional integers as necessary.

Explanation:

When creating proper fractions and improper fractions using the numbers 3, 5, and 8, a proper fraction has a numerator (top number) that is smaller than its denominator (bottom number), whereas an improper fraction has a numerator that is larger than its denominator.

Here are nine proper fractions using 3, 5, and 8:

Here are nine improper fractions using 3, 5, and 8:

There are 479,001,600 different combinations of songs that can be played without repeating a song

An MP3 player with a playlist of 12 songs can be played in 479,001,600 different orders.

An MP3 player with a playlist of 12 songs can play each song in random order without repetition.

To calculate the number of different orders the songs can be played, we can use the concept of permutations.

In this case, we have 12 songs and want to find the number of different ways they can be arranged.

The formula for permutations is n! / (n - r)!, where n is the total number of items and r is the number of items being arranged.

In this case, n is 12 and r is also 12 (since we want to arrange all the songs).

So the formula becomes 12! / (12 - 12)!. Since 12 - 12 is 0, the denominator becomes 0!.

The value of 0! is defined as 1, so we can simplify the formula to just 12!.

Using a calculator or factorial table, we can calculate that 12! (12 factorial) is equal to 479,001,600.

Therefore, there are 479,001,600 different orders in which the songs can be played on the MP3 player.

3(2y - 4) = 8y + 9 - 9y

Distribute 3:

6y - 12 = 8y + 9 - 9y

Combine like terms:

6y - 12 = -y + 9

Add y to both sides:

7y - 12 = 9

Add 12 to both sides:

7y = 21

Divide both sides by 3:

y = 3

Answer:

Y = 3

Step-by-step explanation:

ANSWER

[tex]x = 22 \: \: units[/tex]

EXPLANATION

The line from the center of the circle to the upper chord meets it at right angles, this means that, this line bisects the upper chord.

Hence the length of the upper chord is 2(11)=22 units.

Since the distance from the upper chord to the center is 12 units and the distance from the lower chord to the center is also 12 units, the two chords must be equal.

[tex] \therefore \: x = 22 \: units[/tex]

I'll presume the slash is the fraction bar and the questioner is asking about

[tex]\dfrac{4a+12}{a+3}[/tex]

That always equals 4 except when [tex]a=-3[/tex]

So the restriction is

Answer:  a ≠ -3

Answer:

The restriction is at a=-3

Step-by-step explanation:

You need to see if there are like terms. If there are that is a hole. For example you can a 4 out of the equation like so.

4(a+3)/a+3.

since they both have a+3 that is a hole. so a+3=0 so a=-3 is a restriction

Answer:

volume is 15 in cubed

Surface area is 43 in squares

Answer:

Usual, because the result is between the minimum and maximum usual values.

Step-by-step explanation:

To identify if the value is usual or unusual we're going to use the Range rule of thumbs which states that most values should lie within 2 standard deviations of the mean. If the value lies outside those limits, we can tell that it's an unusual value.

Therefore:

Maximum usual value: μ + 2σ

Minimum usual value: μ - 2σ

In this case:

μ = 153.1

σ = 18.2

Therefore:

Maximum usual value: 189.5

Minimum usual value: 116.7

Therefore, the value of 187 lies within the limits. Therefore, the correct option is D.  Usual, because the result is between the minimum and maximum usual values.

Answer:

D. Usual, because the result is between the minimum and maximum usual values

Step-by-step explanation:

The answer I got was $114.36

Answer:

interest earned= 292.878

the future value of an annuity= 892.878

Step-by-step explanation:

Given Data:

Interest rate= 5%

time,t = 8 years

Quarterly payment, P= 600

n= 4 as quarterly

At the end of 8 years, final investment A= ?

As per the interest formula

A= P(1+r/n)^nt

= 600(1+0.05/4)^32

= 892.878

Interest earned = A-P

                          = 892.878-600

                          = 292.878 !

1. A<10

2. H> or equal to 55

3. D>85

The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:

[tex]\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}[/tex]

Answer:

anything between 3 and 15 BUT NOT 3 OR 15

they can be

4

5

6

7

8

9

10

11

12

13

14

Answer: is 20%

Step-by-step explanation: I took the percentage of 200 out of 250 and it was 80% so the answer is 20%

For me the answer is 80% I hope it helps. please add brainlist

Answer:

1) 9/cos(θ)

2)4[tex]\sqrt{3}[/tex](cos(198) +isin(198))

3)z= cos(π/3) +isin(π/3)

Step-by-step explanation:

x=9

i.e. x= 9 +i0

θ= tan^-1 (0/9)

θ= tan^-1 (0)

=0

hence z= r(cosθ +i sinθ)

            = 9(cos 0 + isin 0)

            = 9

As cos (0) = 1 hence polar form of x=9 is 9/cos(θ) where θ=0

2)

Given

z1=2[tex]\sqrt{3}[/tex]( cos(116)+isin(116))

z2=2(cos(82)+isin(82))

As per the product formula od complex polar numbers:

z1.z2= r1.r2(cos(θ1+θ2) +isin(θ1+θ2) )

Putting the values

          = 4[tex]\sqrt{3}[/tex](cos(198) +isin(198))

3)

z= 1/2 + i[tex]\sqrt{3}[/tex]/2

r= [tex]\sqrt{(1/2)^{2}+(\sqrt{3}/2) ^{2}  }[/tex]

r = [tex]\sqrt{1/4 +3/4} \\\sqrt{4/4}\\\sqrt{1}[/tex]

r=1

θ= tan^-1 [tex](\sqrt{3}/2 ) / (1/2)[/tex]

= tan^-1[tex]\sqrt{3}[/tex]

=60

=π/3

hence

z= cos(π/3) +isin(π/3) !

Answer:

x=2.4

Step-by-step explanation

Lets take the info already given. 20 is on the larger triangle and 8 is on the smaller. So the side that matches with X is 6. The relationship between 20 and 8 is 2.5. How? 20/8=2.5. then you divide 6 by 2.5. That equals 2.4. So x=2.4. Hope that helps !

Answer:

x=2.4

Step-by-step explanation:

Take the big one and divide it by the small one then you take the answer and divide it by the other side.

Answer:

[tex]y=\dfrac{3}{2}\cdot 2^x[/tex]

Step-by-step explanation:

The general equation of the exponential function is

[tex]y=a\cdot b^x[/tex]

If the graph of the exponential function passes through the points (-2, 0.375) and (7, 192), then their coordinates satisfy the equation:

[tex]0.375=a\cdot b^{-2}\\ \\192=a\cdot b^7[/tex]

Divide the second equation by the first:

[tex]\dfrac{192}{0.375}=\dfrac{a\cdot b^7}{a\cdot b^{-2}}=\dfrac{b^7}{b^{-2}}\\ \\512=b^9\\ \\b=\sqrt[9]{512}=2[/tex]

Substitute it into the second equation:

[tex]192=a\cdot 2^7\\ \\192=a\cdot 128\\ \\a=\dfrac{192}{128}=\dfrac{96}{64}=\dfrac{48}{32}=\dfrac{6}{4}=\dfrac{3}{2}[/tex]

So, the equation of the exponential function is

[tex]y=\dfrac{3}{2}\cdot 2^x[/tex]