Simplify (3^1\2x2^1\3)^1\2

97.5% of American women have shoe sizes that are no more than 11.47.

Lets try to solve the question,

Given values ,

Dev (u) = 8.47

Standard deviation (x) = 1.47

So we e have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).

Lets find z score by using empirical formula.

=> [tex]z= (x-u) / a[/tex]

=> [tex]11.47-8.47/1.5[/tex]

=> [tex]z= 2[/tex]

Now we have to find [tex]P(z < 2)[/tex] . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.

Therefore the 97.5% of American women have shoe sizes that are no more than 11.47.

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The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41

We have:

Mean = 100

Sample size = 80

Standard deviation = 11

At 95% confidence interval, the critical z value is:

z = 1.96

The confidence interval is then calculated as:

[tex]CI = \bar x \pm z \frac{\sigma}{\sqrt n}[/tex]

So, we have:

[tex]CI = 100 \pm 1.96 \frac{11}{\sqrt {80}}[/tex]

Evaluate the product

[tex]CI = 100 \pm \frac{21.56}{\sqrt {80}}[/tex]

Divide

[tex]CI = 100 \pm 2.41[/tex]

Split

CI  = (100 - 2.41,100 + 2.41)

Evaluate

CI  = (97.59,102.41)

Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41

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The change in the price of the stock is $46.67.

From the information given, the current price will be:

= Annual dividend / Required rate

= 7/0.1

= $70

The market value of the shares will be:

= 7/6%

= 7/0.06

= $116.67

Therefore, the change in the price of the stock will be:

= $116.67 - $70

= $46.67

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Answer:

either it's 7 and 3 but not sure

Step-by-step explanation:

7x3 =21

now for the negative -10 it would basically be -7+-3=-10

Answer:

14N+5

Step-by-step explanation:

Five years ago; Rose Nx

Amanda x

Now; Rose Nx+5

Amanda x+5=19

x=19-5=14years

Rose(NOW) =14N+5

Answer:

No

Step-by-step explanation:

There are multiple coordinates with the same x coordinate

Answer:

10.676 mm

Step-by-step explanation:

The perimeter of a circle (circumference) formula is 2*(3.14)*r. Therefore since r is 1.7,  2*3.14*1.7 = 10.676 mm.

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Answer:

a whole number is a number with no decmils other than .0000 and is not a fraction where the top and bottom are equal

whole: a,c,e&f

not:b&d

The slope of the line is

[tex]\frac{-3-1}{6-3}=\frac{-4}{3}[/tex]

Substituting into point-slope form using the point (3,1),

[tex]\boxed{y-1=-\frac{4}{3}(x-3)}\\\\y-1=-\frac{4}{3}x+4\\\\\boxed{y=-\frac{4}{3}x+5}[/tex]

Answer: The equation of the line that passes through (6,- 3) and (3,1) is  y = [tex]\frac{-4x}{3}[/tex] +5.

Step-by-step explanation:

Point-slope formula : (y - y1) = m(x - x1)

y = y coordinate of second point

y1     = y coordinate of first point

m = slope

x = x coordinate of second point

x1     = x coordinate of first point

slope (m) = [tex]\frac{1-(-3)}{3-6}[/tex]

          m = [tex]\frac{4}{-3}[/tex] or [tex]\frac{-4}{3}[/tex]

now put values in point-slope formula  : (y - 1) = [tex]\frac{-4}{3}[/tex](x - 3)

y - 1 = [tex]\frac{-4x}{3\\}[/tex] + 4

y = [tex]\frac{-4x}{3}[/tex] +5

So the equation of the line that passes through (6,- 3) and (3,1) is y = [tex]\frac{-4x}{3}[/tex]+5.

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The pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

The graph of a linear equation that shows a linear relationship between two variables are straight line graphs.

The graph shown is a straight line graph, therefore, it shows a linear relationship. Therefore, the pairs of variables that have a linear relationship is: A. side length and perimeter of 1 face.

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To solve the expression given , Drag zero pairs to the window and then Remove the 5 groups of –2 tiles , Option b and c is the right answer

It is a teaching method in which materialistic representation is done for concepts like addition and subtraction .

It is used for kids who find it difficult to understand adding a negative integer etc.

For the expression given

-5 (-2)

Drag zero pairs to the window and then Remove the 5 groups of –2 tiles.

Therefore Option B and C is the right answer.

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Answer:

a= 30

b=60

c=105

Step-by-step explanation:

A forms a vertical angle with another angle that measures 30 degrees, therefore,

a= 30 degrees.

Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.

Then, 30+90+b=180

120+b=180

b=60

Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.

180-75=c

105=c

The multiplication of the expression will be 1215 cubic yd 2295 cubic inches.

It is also known as the product. If the object n is given to m times, then we just simply multiply them.

The expression is given below.

(9 cubic yd and 17 cubic in) × 135

On multiplication, we have

135 × 9 cubic yd and 135 ×  17 cubic in

1215 cubic yd and 2295 cubic inches

1215 cubic yd 2295 cubic inches

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The multiplication is 56,689,335 cu in

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

9 cu yd 17cu in

1 cu yard = 46656 cu inches

9 cu yard = 9*46656 = 419904 cu inches

Now, total inches

= 419904 cu inches + 17 cu in

= 419,921 cu inches.

and, the multiplication is

=56689335

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Answer:

152cm²

Step-by-step explanation:

math and stuff and things

Answer:

A.) x = 21.4

Step-by-step explanation:

When solving the inequality, you can treat the sign like an equal sign. To isolate the "x" variable, you can add "4" to both sides. This eliminates the -4 from the right side.

You are left with the inequality:

x > 19.5

If "x" must be greater than 19.5, the only answer that satisfies this is A.) x = 21.4. All of the other answers are less than 19.5.

[tex]\bf{x -4 > 15.5}[/tex]

[tex]\bf{Add \ 4 \ to \ both \ sides.}[/tex]

[tex]\bf{x-4+4 > 15.5+4 }[/tex]

[tex]\bf{x > 19.5 === > Answer }[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

about 27.27 hours.

Step-by-step explanation:

If it can travel 0.11 miles in 1 hour, we need to divide 3 miles by 0.11 miles to get the number of hours it would take to travel 3 miles. 3/0.11 is 27.27 repeating.

Hope this helps!

Answer:

27.27 hours

Step-by-step explanation:

You need to set up a proportion. I did distance over time.

[tex]\frac{.11 mi }{1 hr} = \frac{3 mi}{x hr}[/tex]

Cross multiply

.11x = 3

Divide by .11

x = 27.27

Answer:

undefined

Step-by-step explanation:

Since line m passes through two points that have the same x-value but different y values, line m is horizontal to the y-axis which has an undefined slope.

(a) Given [tex]f(x) = x^3[/tex], the derivative is

[tex]f'(x)=3x^2[/tex]

which is exists for all [tex]x[/tex] in the domain of [tex]f[/tex], so [tex]]f[/tex] is differentiable everywhere and satisfies the mean value theorem. There is some number [tex]c[/tex] in the open interval (0, 2) such that

[tex]f'(c) = \dfrac{f(2) - f(0)}{2-0} \iff 3c^2 = \dfrac{8-0}2 = 4[/tex]

Solve for [tex]c[/tex] :

[tex]3c^2 = 4 \implies c^2 = \dfrac43 \implies \boxed{c = \dfrac2{\sqrt3}}[/tex]

We omit the negative square root since it doesn't belong to (0, 2). Graphically, the MVT tells us the tangent line to the curve [tex]f(x)=x^3[/tex] at [tex]x=\frac2{\sqrt3}[/tex] is parallel to the secant line through the endpoints of the given interval.

(b) [tex]f(x)=1+x+x^2[/tex] has derivative

[tex]f'(x)=1+2x[/tex]

By the MVT,

[tex]f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff 1+2c = \dfrac{7-1}2 \implies \boxed{c = 1}[/tex]

(c) [tex]f(x) = \cos(2\pi x)[/tex] has derivative

[tex]f'(x) = -2\pi \sin(2\pi x)[/tex]

By the MVT,

[tex]f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff -2\pi \sin(2\pi c) = \dfrac{0-0}2 \implies \sin(2\pi c) = 0 \\\\ \implies 2\pi c = n\pi \implies c = \dfrac n2[/tex]

where [tex]n[/tex] is any integer. There are 3 solutions in the interval (0, 2),

[tex]\boxed{c = \dfrac12, c = 1, c = \dfrac32}[/tex]

(Pictured is the situation with [tex]c=\frac12[/tex])

The ranges of batting averages were least common among the players is 0.320-0.329 and 0.360-0.369 , Option D is the correct answer.

Average is the middle value of a set of data points , calculated by summing all the data points and then dividing by the number of points.

It is given that , 30 best batting averages for a semi-pro baseball league.

The ranges of batting averages were least common among the players

To find this , it has to be observed that which range has the lowest frequency

The range 0.320-0.329 and 0.360-0.369 has frequency of 1 which is the least among all

Hence Option D is the correct answer.

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Answer:

91 degrees

Step-by-step explanation:

Sum of angles in a quadrilateral: 360 degrees

87, 89, 91, 93 are four consecutive odd numbers that add up to 360

third angle is 91 degrees

Answer:

I believe its A. 37

Step-by-step explanation:

That seems to be the measure of B

Answer:

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

Step-by-step explanation:

the cost of a ticket to music concert is 14$

capacity of people for concert = 7500

for every increase in price attendance decreases by 250

so the required equation for getting revenue is
                         y =   (14+x)(7500-250x)
                            = 105000+7500x-3500x-250x^2

by differentiating the above equation with respect to x we can find the local maxima which gives us the price for getting more revenue

      dy/dx = 7500 -3500 - 500x =0

                      4000=500x

                          x= 8

from the above equation we got that if the increase in price was 8$ we will be getting the most revenue out of the concert

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

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The solution of the equation is x = -2±2i√2. The solution to the equation is found in the Sridharacharya formula.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x² + 4x + 12 = 0

The solution to the equation is found as;

x² + 4x + 12 = 0

The solution to the equation is;

[tex]\rm x=-b \pm \frac{\sqrt{b^2-4ac}}{2a} \\\\ \rm x=-4 \pm \frac{\sqrt{4^2-4\times 4 \times 1}}{2\times 4} \\\\[/tex]

x = -2±2i√2

Hence the solution of the equation is x = -2±2i√2.

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A: 2800

B: 11200

C: 250.39 per month

Answer:

middle graph

Step-by-step explanation:

Soluton

The  second (middle ) graph is the only one that works.

Answer:

m∠BAC = 40°

Step-by-step explanation:

Note that line BD passes through A, so ∠BAC and ∠CAD form a linear pair.  By the Linear Pair Postulate, ∠BAC and ∠CAD are supplementary angles, and by definition their measures add to 180°:

m∠BAC + m∠CAD = 180°

Since the diagram gives us that m∠CAD = 140°, we can substitute and solve:

Starting supplementary angles definition equation ...

m∠BAC + m∠CAD = 180°

Substituting the known value of m∠CAD ...

m∠BAC + (140°) = 180°

Subtracting 140° from both sides of the equation...

(m∠BAC + 140°) - 140° = (180°) - 140°

Simplifying/evaluating...

m∠BAC = 40°

B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

Length of the arc of a circle:

s = 7.34 units

The measure of central angle:

θ = 81 degrees =  1.413 radians

s = rθ

r is the radius of the circle

7.34 = r(1.413)

r = 5.19 ≈ 5.2 units

Thus, the radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°

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Answer:

The radius of the circle is 5.2 units if the length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81°

Step-by-step explanation:

The new coordinate will be T'(3.2 , -1.6) .

Dilation is the transformation that changes the size of the object without changing its shape .

If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)

The coordinate given in the question is T(8, -4)

The scale factor is 0.4

The new coordinate is

T'( 0.4 * 8 , 0.4 * (-4))

T'(3.2 , -1.6)

Therefore the new coordinate will be T'(3.2 , -1.6)

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Answer:

112

Step-by-step explanation: