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3 years ago

5

Students measured their heights. The dot plots display the data.

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

1)Yes, because the difference in means ÷ by the larger MAD is greater than 2 MADs.

Step-step explanation:

Difference in means:

70.5 - 64.1

= 6.4

Larger MAD:

1.7

6.4/1.7 = 3.764705882 > 1.7

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Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the

adoni [48]

Answer:

45.55 meters

Step-by-step explanation:

I'm guessing she recorded above her height, right?

To find the height of the dam, use the tangent ratio:

$tangentX=\frac{opposite}{adjacent}$

The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:

$tan26=\frac{x}{90}$

Solve for x. Multiply both sides by 90:

$90*(tan26)=90*(\frac{x}{90})\\\\90*tan26=x$

Insert equation into a calculator:

$x=90*tan26\\\\x=43.9$

Now add Scarlett's height:

$43.9+1.65=45.55$

The dam is 45.55 meters tall.

<em>Finito</em> :D

6 0

3 years ago

Factorise<br>a^4+a^2b^2+b^4

finlep [7]

Answer:

a^6*b^6

Step-by-step explanation:

I think that's correct, but I'm not sure

5 0

3 years ago

402 = 2 x 3 x ____<br> help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Westkost [7]

Answer:

67

Step-by-step explanation:

2x3=6

402/6=67

2x3x67=402

hope this helped:)

5 0

2 years ago

Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

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 )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

5/9 x 9/x =1 what is x?

Snowcat [4.5K]

Answer:

x equals 5

Step-by-step explanation:

6 0

3 years ago