Find the equation of the line!
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Answer:

Two intervals are 63 and 75

Step-by-step explanation:

Given:

Mean of students (μ) = 69 inches

Standard deviation (σ) = 3 inches μ

Find:

Interval of heights (95%) using empirical rule

Computation:

Interval of heights (95%) using empirical rule:

⇒ μ – 2σ = 69 - 2(3)

⇒ μ – 2σ = 69 - 6

⇒ μ – 2σ = 63

⇒ μ + 2σ = 69 + 2 (3)

⇒ μ + 2σ = 69 + 6

⇒ μ + 2σ =  75

Two intervals are 63 and 75

Answer: 65.5, 72.5

Step-by-step explanation:

Answer:

1880

Step-by-step explanation:

Answer:

[tex] \frac{4}{3?} \times 3.14 \times 24}^{3 [/tex]

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (24)^3

V = 4/3*13824 pi

   18432 pi

If we approximate pi by 3.14

V =57876.48

Or using the pi button

V =57905.83579

Answer:

x^2 +2x -15

Step-by-step explanation:

FOIL

(x-3)(x+5)

first x*x = x^2

outer 5x

inner -3x

last -3*5 = -15

Add them together

x^2 +5x-3x-15

Combine like terms

x^2 +2x -15

Answer:

4

Step-by-step explanation:

5x = 20

x= 20/5

x = 4!

hope this helps ! <3

mark brainliest plz!

Answer:

4

Step-by-step explanation:

Divide 20 by 5 to find x

Answer:it is b2 I took the test

Step-by-step explanation:

Now mark me braunliest

Answer:

5 ± 3 √ 17 /16

Step-by-step explanation:

Answer:

Step-by-step explanation:

x =(5-√153)/16=(5-3√ 17 )/16= -0.461

x =(5+√153)/16=(5+3√ 17 )/16= 1.086

(23x2 - 5x) - 4 = 0

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!

Answer:

D 57

Step-by-step explanation:

The value of X

Answer:

the first one

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

To find the y intercept, plug x in as 0.

Answer:

-24

Step-by-step explanation:

Y intercept is where graph cuts the y axis and it satisfies x=0

So put x=0 in your equation

F(0)= -8 x 3

F(0)= -24

Therefore y-intercept= -24

Answer:

126 Sq unite

Step-by-step explanation:

I took the assignment

Answer:

126 Sq

Step-by-step explanation:

im taking the test

Answer:

See attachement

Step-by-step explanation:

The interval 0-20 on vertical axis will be skipped on paper graph and graph will start from 20.

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°.

180 - (25 + 117) = missing angle

180 - (142) = missing angle

38 = missing angle

The measurement of the missing angle is 38°

Answer:

The measure of the missing angle is 38°

Answer:

V = pi r^2 h

Step-by-step explanation:

The formula for the volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

Answer:

pi × r² × h

Step-by-step explanation:

Formulae for volume of a cylinder is:

V = pi × r² × h

Where,

r is the radius

h is the height

For pi, either use the value on the calculator or an approximate value of 3.14

Answer:

x=73

Step-by-step explanation:

Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Answer:

[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].

In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us

[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]

We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of

[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

[tex]x^2+(y+4)^2=64x[/tex]   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

Answer:

i think its 1260

Answer:

Answer:

the answer is m = 1/5

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the given equation of the line is 0.2.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c, slope intercept form

y - y₁ = m(x - x₁), point-slope form

where,

x and x₁ are the coordinates of the x-axis,

y and y₁ are the coordinates of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The equation of a line in the point-slope form is y–9=(1/5)(x-2). Therefore, the slope of the line is (1/5).

Learn more about Equation of Line:

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Question

A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = [tex]5\frac{1}{4}[/tex] miles.

Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles

Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles

Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]

Convert to Improper Fractions

Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]

Take LCM

Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]

Distance = [tex]\frac{103}{8}[/tex]

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer

Answer:

21.24

Step-by-step explanation:

Edge 2020

The required arc length of the circle is 9.42 inches

The arc is a portion of the circumference of a circle.

Area of a sector of a circle = θ/360 × πr², where r is the radius of the circle and θ is the central angle.

To calculate the length of the arc, we use the formula:

S = 2πr (θ/360°)

where,

S = arc length

r = radius of the circle

θ = central angle

As per the given question, we have

r =  9 inches, and θ = 60°

Substitute the values in the above equation, we get:

S = 2π(9) (60°/360°)

S = 2π(9)/60°

S ≈9.42

Hence, the arc length of the circle is 9.42 inches.

Learn more about the arc of the circle here:

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The question seems to be incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle of 60°. Estimate the length of arc 'S' to the nearest hundredth.

Answer:

x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2

hope this helped

Answer:

combine like terms

Step-by-step explanation:

u wont geta  proper answer but u will get a equation that i smaller

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

Answer:

its 43

Step-by-step explanation:

i had a test with the same question, i promise its right :)

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

Answer:

The answer is A or 155cm^2

Step-by-step explanation:

If you take the shape and separate it into two rectangles, one measuring 5*15 and the other measuring 10*8 you get two areas of 75 and 80, add them together to get the total of 155

Answer:

128

Step-by-step explanation:

128 is the right

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