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3 years ago

A survey of couples in a city found the following probabilities:

Mathematics

1 answer:

liraira [26]3 years ago

8 0

Answer

(a) 0.94

(b)0.06

Step-by-step explanation:

P(husband is employed) = P(H) = 0.85

P(wife is employed) = P(W) = 0.59

P(both are employed) = P(H∩W) = 0.50

(a) At least one of them is employed

= P(H∪W)

= P(H) + P(W) - P(H∩W)

=0.85 + 0.59 - 0.50

=0.94

(b) Neither is employed,

=1 - P(H∪W)

= 1-0.94

=0.06

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Determine the missing value!

xz_007 [3.2K]

Hi there!

missing value: -9

1.Multiply the two negative:

$-2$ · $-4=-8$

2.Find the value of 72*-8:

$72*-8=-9$

Therefore, the missing value is -9.

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3 years ago

A semi-circle window can be used above a doorway or as an accent window

anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the semi-circle window is 982 $in^{2}$ .

A circle is a shape that is bounded by a curved path which is referred to as the circumference. Some parts of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A semicircle is a part of a circle, and it is referred to as half of a given circle.

such that:

Area of a circle = $\pi$ $r^{2}$

and

area of a semicircle = $\frac{\pi r^{2} }{2}$

where: r is the radius of the circle, and $\pi$ is a constant with a value of $\frac{22}{7}$ .

Thus from the given question, it can be inferred that;

r = $\frac{50}{2}$

= 25

r = 25 in

Thus, the area of the semi-circle can be determined as;

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= 982.1429

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The area of the semi-circle window is approximately 982 $in^{2}$ .

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

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2 years ago

Which expressions are equivalent to 6 +(-x) + 2x + (-7)

Fantom [35]

Answer:

a and c

Step-by-step explanation:

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3 years ago

Consider three consecutive odd integers. The ratio of the smallest number to one less than twice the smallest

uranmaximum [27]

Let x be the smallest of the three integers. Then the next two are x + 2 and x + 4.

• "The ratio of the smallest number to 1 less than twice the smallest number..."

This translates to

x / (2x - 1)

• "... the ratio of 3 more than the middle number to twice the largest number."

This translates to

((x + 2) + 3) / (2 (x + 4))

or, simplifying a bit,

(x + 5) / (2x + 8)

The ratioes are said to be equivalent, so

x / (2x - 1) = (x + 5) / (2x + 8)

Solve for x :

x (2x + 8) = (x + 5) (2x - 1)

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8x = 9x - 5

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x = 5

So the three integers are 5, 7, and 9.

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3 years ago