Assume that the probability of any newborn baby being a girl is one halfand that all births are independent. If a family has five children (no twins), what is the probability of the event that none of them are girls?
Answers
Answer:
1/32
Step-by-step explanation:
P(0 girls)
= P(5 boys)
= (1 − ½)⁵
= 1/32
Related Questions
uppose a small cannonball weighing 16 pounds is shot vertically upward, with an initial velocity v0 = 290 ft/s. The answer to the question "How high does the cannonball go?" depends on whether we take air resistance into account. If air resistance is ignored and the positive direction is upward, then a model for the state of the cannonball is given by d2s/dt2 = −g (equation (12) of Section 1.3). Since ds/dt = v(t) the last differential equation is the same as dv/dt = −g, where we take g = 32 ft/s2. If air resistance is incorporated into the model, it stands to reason that the maximum height attained by the cannonball must be less than if air resistance is ignored. (a) Assume air resistance is proportional to instantaneous velocity. If the positive direction is upward, a model for the state of the cannonball is given by m dv dt = −mg − kv, where m is the mass of the cannonball and k > 0 is a constant of proportionality. Suppose k = 0.0025 and find the velocity v(t) of the cannonball at time t.
In the figure below, lines p and s are parallel.
The length of a rectangle is 2x - 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15B. 10x – 15C. 10x - 8D. 7x-8
Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i
Answers
Answer: 1/2
Step-by-step explanation:
Kim ate 2/5 which is also equal to 4/10 and Courtney has eaten 1/10
4/10 + 1/10 = 5/10 = 1/2
Answers
Answer:
The value of x is: 2.5 units
Step-by-step explanation:
Two triangles are said to be similar if the ratio of the corresponding sides of the two triangles are equal.
i.e. if two triangles ΔABC and ΔDEF are similar such that the sides of the triangle ABC are a, b and c and the corresponding sides in ΔDEF are d,e and f respectively then we have:
Here we have the base length of the orange i.e. the quadrant above the x-axis as: 8 units
and the base length of the similar triangle i.e. triangle below x-axis as: 4 units.
i.e. we have: a=8 and d=4
and b=5 and e=x
Hence, we have:
i.e.
Hence, we have:
Answers
Answer:
3
Step-by-step explanation:
3 x 3 = 9
11 x 2 = 22
4 x 7 = 28
9 + 22 = 31
31 - 28 = 3
hope this helps :)
Answers
Answer:
- x = 55, y = 60
- E = 70°, F = 120°, G = 110°, H = 60°
- arcHF = 140°
Step-by-step explanation:
a) The sum of opposite angles of an inscribed quadrilateral is 180°. This lets us use angles E and G to solve for x:
(x+15) + (2x) = 180
3x + 15 = 180 . . .simplify
x +5 = 60 . . . . . divide by 3
x = 55 . . . . . . . . subtract 5
Similarly, we can use angles F and H to solve for y:
(3y -60) + (y) = 180
4y -60 = 180 . . . . simplify
y -15 = 45 . . . . . . divide by 4
y = 60 . . . . . . . . . add 15
___
b) Then the measures of the angles are ...
G = 2x = 2·55 = 110
E = 180 -G = 70
H = y = 60
F = 180 -H = 120
The angle measures are ...
m∠E = 70°, m∠F = 120°, m∠G = 110°, m∠H = 60°
___
c) short arc HF is intercepted by inscribed angle E, so the arc will have twice the measure of the angle.
arc HF = 2·m∠E = 140°
_____
Comment on the problem
Throughout, the only relation being used is that the measure of an arc is twice the measure of the inscribed angle intercepting it. For opposite angles of the quadrilateral, the sum of the two intercepted arcs is 360° (the whole circle), so the sum of the two angles is 180°.
WRITE "six million five hundred thousand four" in standard form.
Answers
Answers
The exact values of α and β as follows: α = 2π/3 and β = 7π/6. To find the exact value of the given trigonometric expressions, we need to use the Laws of Sines and Cosines.
What is Law of Sines?
The Law of Sines is a mathematical equation used to calculate the angles or sides of a triangle when two angles and one side are known. It states that the ratio of the sine of an angle to the length of the opposite side is constant.
The Law of Sines states that the ratio of a side to the sine of its opposite angle is equal for all sides and angles of a triangle. The Law of Cosines states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the included angle.
We begin by finding the exact value of tan α. Using the Law of Sines, we can find the measure of α by solving the equation: tan α = 3/4 = sin α/cos α. This can be rearranged to find cos α = 4/3, and then we can use the inverse of cosine to find the exact value of α.
Using the Law of Cosines, we can find the exact value of β by solving the equation: -15/17 = (cos β)2 = (1 - sin2 β). This can be rearranged to find sin β = -4/5, and then we can use the inverse of sine to find the exact value of β.
Finally, using the given conditions, we can find the exact values of α and β as follows: α = 2π/3 and β = 7π/6.
For more questions related to cosines
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