Andrea ran 4 kilo over the weekend. How many meters did she run

Answer:

99.7%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

Step 1

We have to find the number of standard deviations from the mean

μ = Mean = 1800 hours

σ = Standard deviation = 25 hours

For 1725 hours

μ - xσ =

1800 - 25x = 1725

25x = 1800 - 1725

25x = 75

x = 75/25

x = 3

For 1875 hours

1800 + 25x = 1875

25x = 1875 - 180

25x = 75

x = 75/25

x = 3

Step 2

From the above calculation, the bum of standard deviations from the mean is 3

Hence, the percentage of light bulbs last between 1725 hours and 1875 hours is 99.7%

Answer:

1508 is answer

Step-by-step explanation:

1507.964474rounded

9 is Tenth place

so round that. And You get 1508!

Have a Wonderful day!

Answer:

64.8

Step-by-step explanation:

37.88+ 26.92

64.80

Answer:

He had 64.8

Step-by-step explanation:

Just add 37.88 and 26.92 together :)

37.88

+26.92

  64.8

Hope it helps!! :D

Answer:

I think its 16

Step-by-step explanation:

Answer:

[tex] \frac{8}{2} (2 + 2) = 16[/tex]

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

[tex]A_1=\dfrac{\sqrt{3}}{4}a^2[/tex]

Where, a is the side length.

Putting [tex]a=2[/tex], we get

[tex]A_1=\dfrac{\sqrt{3}}{4}(2)^2[/tex]

[tex]A_1=\dfrac{\sqrt{3}}{4}(4)[/tex]

[tex]A_1=\sqrt{3}[/tex]

[tex]A_1\approx \sqrt{3}[/tex]

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

[tex]LA=Ph[/tex]

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

[tex]A_2=(2+2+2)5[/tex]

[tex]A_2=(6)5[/tex]

[tex]A_2=30[/tex]

Now, the total surface area is the sum of areas of bases and lateral surface area.

[tex]A=2A_1+A_2[/tex]

[tex]A=2(1.73)+30[/tex]

[tex]A=3.46+30[/tex]

[tex]A=33.46[/tex]

Therefore, the total surface area is 33.46 cm².

Answer:

i have the whole answer sheet

Step-by-step explanation:

please mark this answer as rainliest

Answer:

216*b^2

Step-by-step explanation:

first, remember that:

a*√b = √(a^2*b)

√a*√b = √(a*b)

[tex]b^n*b^m = b^{n + m}[/tex]

[tex](b^n)^m = b^{n*m}[/tex]

Now, our expression is:

[tex]2*\sqrt{8*b^3} *9*\sqrt{18*b} = (2*9)*\sqrt{8*b^3}*\sqrt{18*b}[/tex]

Where in the right I rewrite the expression so it is easier to work.

Now we can use the second property of the above ones, to have:

[tex]18*\sqrt{8*b^3*18*b} = 18*\sqrt{(8*18)*b^{3 + 1}} = 18*\sqrt{144*b^4}[/tex]

And we know that:

[tex]\sqrt{x} = x^{1/2}[/tex]

Then:

[tex]18*\sqrt{144*b^4} = 18*(144*b^4)^{1/2} = 18*\sqrt{144}*(b^4)^{1/2}[/tex]

and 12*12 = 144, then:

[tex]18*\sqrt{144}*b^{4*1/2} = 18*12*b^2 = 216*b^2[/tex]

Answer:

1.   5 in.

2.   12 in.

3.   3.5 in.

4.   30 ft

5.   4 m

6.   32 mm

7.   53.41 m

8.   18.85 ft

9.   87.96 in

10.  56.56 mm

11.   20.57 in

12.  25.71 yd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Answer:

no

Step-by-step explanation:

Answer:

x = 74

Step-by-step explanation:

One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,

x = 74

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Answer:

I think the answer to your eustion is 10?

Step-by-step explanation:

I hope this helps, have a nice day

Answer:

Hope this helps! :)

And also try using symbolab it's really helpful

Answer:

After saving for 5 weeks he would have 130. 6x5=30+100=130

expression (6x5)+100

Step-by-step explanation:

Answer:

$130

$100 + $6w

Step-by-step explanation:

By question , Tariq had $100 . In one week he can save , $6 . So in 5 weeks he will save ,

=> $6 × 5

=> $ 30 .

Therefore after 5 weeks he will have ,

=> $ 100 + $ 30

=> $ 130 .

=> $100 + $6w

Answer:

p=32/15 pounds

Step-by-step explanation:

Step 1: Write the correct equation. Inverse variation problems are solved using the equation y=k/x. In this case, you should use v and p instead of x and y. y=k/x---> v=k/p  

Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when v = 32 and p = 4. 32=k/4 128=k

Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2. v=128/p  

Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find p when v = 60.  

60=128/p    60p=128           p=32/15 pounds

Answer:

I suck at math so sorry

Answer:

Elena’s MAD:  2

Step-by-step explanation:

 24  ÷ 12 = 2

Answer:

7 ft.

Step-by-step explanation:

Please see the attached image.

I named the center Z btw

Because the circle is split into three congruent angles, each angle is 360/3=120°.

After dropping an altitude on the bottom triangle, the angle is bisected, so 120/2=60°.

By dropping the altitude, we also created a 30-60-90 triangle. By now you have probably learned the proportions for the sides of a 30-60-90 triangle, but if you haven't,

the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the other leg multiplied by √3.

So ZW is 4/2=2, and WY is 2√3.

XW=WY, so XY=2√3*2=4√3

4√3 is approximately 7.

7 ft.

The three panels are divided into three equal parts. This mean that the central angle from each panel is 120 degrees. So, the side length of w and the length of curve xy is 7 feet and 8 feet

Let the center of the circle be O (see attachment).

So:

[tex]\angle XOY = \frac{360}{3} = 120^o[/tex] ---- because the circle is divided into 3 equal parts

Considering [tex]\triangle XOY[/tex]

[tex]\angle W O Y = \frac{\angle X O Y}{2}[/tex]

[tex]\angle WOY = \frac{120}{2} = 60[/tex]

Considering [tex]\triangle WOY[/tex]

[tex]\sin(60) = \frac{wy}{yo}[/tex]

Where:

[tex]yo= 4[/tex]

So, we have:

[tex]\sin(60) = \frac{wy}{4}[/tex]

[tex]0.8860 = \frac{wy}{4}[/tex]

Multiply through by 4

[tex]wy = 4 * 0.8660[/tex]

[tex]wy = 3.464[/tex]

Because w divides xy into w equal parts

[tex]wx = wy = 3.464[/tex]

The length of w is:

[tex]w =wx + wz[/tex]

[tex]w = 3.464+3.464[/tex]

[tex]w = 6.928[/tex]

Approximate

[tex]w = 7[/tex]

Next, is to calculate arc length xy

This is calculated as follows:

[tex]xy = \frac{\theta}{360} * 2\pi r[/tex]

Where:

[tex]\theta = \XOY = 120^o[/tex]--- central angle

So, we have:

[tex]xy = \frac{\theta}{360} * 2\pi r[/tex]

[tex]xy = \frac{120}{360} * 2 * 3.142 * 4[/tex]

[tex]xy = \frac{1}{3} * 25.136[/tex]

[tex]xy = 8.33[/tex]

Approximate

[tex]xy = 8[/tex]

Hence, the side length of w and the length of curve xy is 7 feet and 8 feet respectively.

Read more about solving triangles at:

https://brainly.com/question/23295201

Answer:

[tex]Cindy = 30[/tex]

[tex]Hao= 10[/tex]

[tex]Raymond = 5[/tex]

Step-by-step explanation:

Given

Represent each withe first letter of their name;

So:

[tex]C = 3H[/tex]

[tex]R = \frac{1}{2}H[/tex]

[tex]\frac{C + R + H}{3} = 15[/tex] --- the average of books

Required

The number of book each has

Substitute [tex]C = 3H[/tex], [tex]R = \frac{1}{2}H[/tex] in [tex]\frac{C + R + H}{3} = 15[/tex]

[tex]\frac{3H + \frac{1}{2}H + H}{3} = 15[/tex]

Multiply both sides by 3

[tex]3 * \frac{3H + \frac{1}{2}H + H}{3} = 15 * 3[/tex]

[tex]3H + \frac{1}{2}H + H = 45[/tex]

Take LCM and solve

[tex]\frac{6H + H + 2H}{2}= 45[/tex]

[tex]\frac{9H}{2}= 45[/tex]

Multiply both sides by 2/9

[tex]\frac{2}{9} * \frac{9H}{2}= 45 * \frac{2}{9}[/tex]

[tex]H= 45 * \frac{2}{9}[/tex]

[tex]H= 5 * 2[/tex]

[tex]H= 10[/tex]

[tex]C = 3H[/tex]

[tex]C = 3 * 10[/tex]

[tex]C = 30[/tex]

[tex]R = \frac{1}{2}H[/tex]

[tex]R = \frac{1}{2} * 10[/tex]

[tex]R = 5[/tex]

Answer:

[tex] \frac{17}{8} \times 4 \\ 8.5 {units}^{3} [/tex]

Answer:

47,922.3

Step-by-step explanation:

Answer:

Scalene right

Step-by-step explanation:

It has a right angle, and two 45 degree angles as well as two sides of equal length

Answer:

I believe its scalene obtuse

so sorry if I'm wrong

Answer:

C on edge

Step-by-step explanation:

the guy above is correct

The graph that represents the given inequalities is required.

The required graph is attached.

The inequalities are

[tex]x^2+9y^2<81[/tex]

[tex]y^2+2<x[/tex]

Converting to general forms

Ellipse

[tex]\dfrac{x^2}{9^2}+\dfrac{9y^2}{9^2}<1\\\Rightarrow \dfrac{x^2}{9^2}+\dfrac{y^2}{3^2}<1[/tex]

So,

[tex]a=\pm9[/tex]

[tex]b=\pm3[/tex]

The vertices of the major axes are [tex](9,0)[/tex] and [tex](-9,0)[/tex]

The vertices of minor axes are [tex](0,3)[/tex] and [tex](0,-3)[/tex]

The center lies on the origin.

Since, the sign of the inequality is [tex]<[/tex] the shaded region will be inside the ellipse excluding the ellipse.

Parabola

[tex]x>1(y-0)^2+2[/tex]

So,

Vertex of parabola = [tex](2,0)[/tex]

Since, the square term is [tex]y^2[/tex] the axis of symmetry is the [tex]x[/tex] axis.

The parabola will open towards the positive x axis.

The shaded region is the area in the parabola excluding the parabola due to the [tex]>[/tex] sign.

Learn more:

https://brainly.com/question/24210887

Answer:

f(x)=exponential

g(x)= quadratic

h(x)= linear

Step-by-step explanation:

exponential function

[tex] {ab}^{x} [/tex]

Quadratic function

[tex]a {x}^{2} + bx + c[/tex]

Linear function

[tex]y = mx + c[/tex]

Hi there!

[tex] \large \boxed{ y = {a}^{x} \: \: (a \neq 0, \: a > 1)}[/tex]

The equation above is an exponential family type.

[tex] \large \boxed{y = a {x}^{2} + bx + c \: \: (a \neq 0)}[/tex]

The equation above is quadratic type.

[tex] \large \boxed{ y = mx + b}[/tex]

The last type above is a linear type.

Hence, the answers are:

Answer:

42 cubic cm

Step-by-step explanation:

Answer:

88 centimeters

Step-by-step explanation:

8 times 11 is 88

The length of the path is 88 centimeters.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Ayla uses 11 pieces of track, and each piece is 8 centimeters long, so the total length of the path is:

11 pieces of track x 8 centimeters per piece

= 88 centimeters

Therefore,

The length of the path is 88 centimeters.

Learn more about expressions here:

https://brainly.com/question/3118662

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