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pishuonlain [190]

3 years ago

7

An individual who has automobile insurance from a certain company is randomly selected. What is the probability that among 15 ra

ndomly chosen such individuals, at least 10 have no citations?

1 answer:

olchik [2.2K]3 years ago

6 0

Answer: B( 5 : 15,0)

Step-by-step explanation: Please find the attached file for the solution

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Simplify 8 over -4 divided by -3 over 9

Dima020 [189]

Answer: .074 continuing

8 0

3 years ago

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Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet?

skad [1K]

The answer may be $2,160.

5 0

3 years ago

ILL GIVE BRAINLEST:))

valkas [14]

Answer:

2 and 3

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

scale 1:4

4 0

2 years ago

A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the

Goryan [66]

Answer:

<em>The perimeter of the pizza slice is 20.1 cm</em>

Step-by-step explanation:

<u>Perimeter of a Sector of a Circle</u>

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

$\theta=50*\frac{\pi}{180}=\frac{5\pi}{18}$

The perimeter is:

$P = 7*\frac{5\pi}{18} + 2*7$

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm

6 0

2 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

Read 2 more answers