The number nine added to the product of 7 and -10 is what number?

Find the volume of the cone.

Ne4ueva [31]

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by $\pi r^2$ where r is radius of circle

thus area of base of cone is calculated below

$\pi 10^2\\=> 22/7 *100\\=> 314.2857$

area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone = 1/3* (area of base*height)

= 1/3(314.2857*30)

= 1/3 *9428.571 = 3142.857.

Thus, volume of cone is 3142.857 cubic cm.

volume of cone to the nearest hundredth is 3142.86 cubic cm

6 0

3 years ago

Do tessellations have to be polygons?

den301095 [7]

Its the last one, the shapes but be polygons.

8 0

3 years ago

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y

nikdorinn [45]

The slope would be 2/3 because that would leave pounds when multiplied by cups.

add 0.5 for the weight of the water jug

y = (2/3)x + 0.5

3 0

3 years ago

The radius of a circle measures 15 ft. What is the circumference of the circle?

Pie

Answer:

$\boxed {\tt 94.2 \ feet}$

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

$c= \pi d$

where d is the diameter. We are given the radius, so let's find the diameter.

The diameter is twice the radius.

$d=2r$

The radius is 15 feet.

$d= 2 * 15 \ ft$

Multiply.

$d= 30 \ ft$

Now we know the diameter. Substitute 30 feet in for d.

$c= \pi d$

$c=\pi * 30 \ ft$

We are using 3.14 for pi, so substitute it in.

$c=3.14 * 30 \ ft$

Multiply.

$c= 94.2 \ ft$

The circumference of the circle is 94.2 feet.

8 0

3 years ago

Read 2 more answers

An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a bin

Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

$\mu = np$

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that $p = \frac{1}{2500} = 0.0004$

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is $P(X = 4)$ when $n = 7000$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558$

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

$\mu = np = 7000*0.0004 = 2.8$ . So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557$

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0

3 years ago