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3 years ago

6

The martins plan to have five children. Determine the probability that all their children will be boys. (Assume P(boy= 1/2 and a

ssume independence)

1 answer:

koban [17]3 years ago

6 0

$(\frac{1}{2}) ^{5}$ = $\frac{1}{32}$

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Pleas help I’m so lost

Svetradugi [14.3K]

Its the middle two. Hope I helped

5 0

3 years ago

An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t)

beks73 [17]

H(t) = Ho +Vot - gt^2/2

Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2

H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2

Maximun height is at the vertex of the parabole

To find the vertex, first find the roots.

58.8 + 19.6t - 4.9t^2 = 0

Divide by 4.9

12 + 4t - t^2 = 0

Change sign and reorder

t^2 - 4t -12 = 0

Factor

(t - 6)(t + 2) =0 ==> t = 6 and t = -2.

The vertex is in the mid point between both roots

Find H(t) for: t = [6 - 2]/2 =4/2 = 2

Find H(t) for t = 2

H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4

Answer: the maximum height is 78.4 m

5 0

3 years ago

B=ym+y for m m= help me solve thank u

Sveta_85 [38]

B = ym + y

B - y = ym

(B - y) / y = m
or
B/y - 1 = m

7 0

3 years ago

Robert threw a rock off a bridge into the river. The distance from the rock to the river is modeled by the equation h=-16ť – 16t

cluponka [151]

Answer:

1.5 seconds

Step-by-step explanation:

h=-16t² – 16t+ 60

When the rock enter the water, the height is 0. ... h=0

0 = -16t² – 16t+ 60 = -4 * (4t² - 4t +15) = -4* (2t - 3) (2t +5)

2t-3=0 or 2t+5 = 0

t = 3/2 or t = -5/2 (time can't be negative)

t = 3/2 or 1.5

8 0

3 years ago

svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

$x+40^o=180^o$

solve for x

$x=180^o-40^o=140^o$

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

$x=\frac{(n-2)180^o}{n}$

where

n is the number of sides of the polygon

substitute the given values

$140^o=\frac{(n-2)180^o}{n}$

solve for n

$140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides$

therefore

The polygon has 9 sides

8 0

3 years ago