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3 years ago

5

How do i find joint relative frequency?

1 answer:

Svet_ta [14]3 years ago

3 0

A joint relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the frequency’s row total or column total.

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Find the radius of a circle with an area of 78.5 cm2?

kipiarov [429]

Formula is Area/ Pie
78.5/3.14 = 25

5 0

3 years ago

LA plane is trying to travel 250 miles at a bearing of 20° E of S, however, it ends 230 miles away from the

Semmy [17]

Answer:

The wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ East of North with respect to the destination point.

Step-by-step explanation:

Let origin, O, br the starting point and point D be the destination at 250 miles at a bearing of 20° E of S, but due to wind let D' be the actual position of the plane at 230 miles away from the starting point in the direction of 35° E of South as shown in the figure.

So, we have |OD|=250 miles and |OD'|=230 miles.

Vector $\overrightarrow{DD'}$ is the displacement vector of the plane pushed by the wind.

From figure, the magnitude of the required displacement vector is

$|DD'|=\sqrt{|AB|^2+|PQ|^2}\;\cdots(i)$

and the direction is $\alpha$ east of north as shown in the figure,

$\tan \alpha=\frac{|PQ|}{|AB|}\;\cdots(ii)$

From the figure,

$|AB|=|OA-OB|$

$\Rightarrow |AB|=|OD\cos 20 ^{\circ}-OD'\cos 35 ^{\circ}|$

$\Rightarrow |AB|=|250\cos 20 ^{\circ}-230\cos 35 ^{\circ}|$

$\Rightarrow |AB|=45.52$ miles

Again, $|PQ|=|OP-OQ|$

$\Rightarrow |PQ|=|OD\sin 20 ^{\circ}-OD'\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=|250\sin 20 ^{\circ}-230\sin 35 ^{\circ}|$

$\Rightarrow |PQ|=46.42$ miles

Now, from equations (i) and (ii), we have

$|DD'|=\sqrt{|45.52|^2+|46.42|^2}=65.01$ miles, and

$\tan \alpha=\frac{|46.42|}{|45.52|}$

$\alpha=\tan^{-1}\left(\frac{|46.42|}{|45.52|}\right)=45.56 ^{\circ}$

Hence, the wind pushed the plane $65.01$ miles in the direction of $45.56 ^{\circ}$ E astof North with respect to the destination point.

5 0

2 years ago

Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is

bonufazy [111]

Answer:Amount of white paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of blue paint used =4/5 x 9.1=7.28 pints

Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used

=9.1-7.28=1.82 pints

4 0

3 years ago

Can anyone help me? no links

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Sum: addition

Difference: subtraction

Product: multiplication

Number Sum Difference Product

1, 4 1 + 4 = 5 4 - 1 = 3 1 * 4 = 4

2, 8 2 + 8 = 10 8 - 2 = 6 2 * 8 = 16

Hope this helps!

3 0

2 years ago

Select the correct answer.

ValentinkaMS [17]

Answer:

The answer is A.

$g(x) = 2( {x}^{2} - 3x - 28)$

7 0

2 years ago