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Mila [183]
3 years ago
8

t is commonly assumed that babies are equally likely to come as either a boy or a girl. This is not true. Actually, about 51.3%

of all babies are boys. If a family has two children (not twins), what is the probability they have one boy and one girl?
Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

The probability they have one boy and one girl = 0.50 = 50 %

Step-by-step explanation:

Here the family has two children, we need to find what is the probability they have one boy and one girl.

Probability for babies are boys = 51.3% = 0.513

Probability for babies are girls = 1 - 0.513 = 0.487

The probability they have one boy and one girl = 1 -  probability that they have two boys - probability that they have two girls

The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50

The probability they have one boy and one girl = 0.50 = 50%

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A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere
SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

V=\pi r^2h

Substitute the given values.

48=\pi r^2r   (since r = h)

48=\pi r^3

48=3.14 \times r^3

Divide by 3.14 on both sides.

$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}

$15.28=r^3

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

$V=\frac{4}{3} \pi r^3

$V=\frac{4}{3} \times 3.14 \times (2.48)^3

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The volume of the sphere is 63.85 cm³.

6 0
3 years ago
Triangles PQR and XYZ are similar.
laiz [17]

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

\frac{PR}{XZ}=\frac{QR}{YZ}

substitute the given values

\frac{7}{XZ}=\frac{4}{3}

solve for XZ

XZ=7(3)/4\\XZ=5.25\ units

7 0
3 years ago
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