Turn 4/10 into mixed radical

vfiekz [6]

Answer: 615.44 cm²

Step-by-step explanation: When solving this problem the formula that you need to know is that area = π r².

The 14 cm that they are giving you is the radius of the circle, and π equals 3.14. So, in order to solve this the formula is:

Area = 3.14 x 14²

Area = 3.14 x 196

Area = 615.44 cm²

6 0

3 years ago

One pound of candies costs $3.50. How much will we have to pay for 4.5 lb?

Inessa [10]

Answer:

$15.75

Step-by-step explanation:

Multiply the cost of one pound, 3.50 times how many we want, 4.5

3.5×4.5=15.75

5 0

3 years ago

Read 2 more answers

The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle

5 0

4 years ago

A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged

Alexxx [7]

Answer:

a) $E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

b) First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

c) $P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

d) $P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

Step-by-step explanation:

For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

$X \sim Unif (a= 100, b=1100)$

Part a

For this case the average is given by the expected value and we can use the following formula:

$E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

Part b

First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

Part c

For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

$F(x) = \frac{X -100}{1100-100}= \frac{x-100}{1000}, 100 \leq X \leq 1100$

And we can find this probability:

$P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

Part d

$P(311 < X< 889) = P(X$

And using the cdf we got:

$P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

6 0

3 years ago

If Valerie deposited 12,000 into an account threat earns 15% simple annual interest how much money will she have after 3 years

Ad libitum [116K]

Answer:

The amount which she will have into account after 3 years is 17,400 unit

Step-by-step explanation:

Given as :

The principal which is deposited into an account = 12,000 unit

The rate of interest simple annual = 15%

The Time period = 3 years

Let The amount which she have after 3 years = A unit

From simple Interest method

Simple Interest = $\frac{Principal\times Rate\times Time}{100}$

Or , Simple Interest = $\frac{12,000\times 15\times 3}{100}$

Or, Simple Interest = $\frac{540,000}{100}$

∴ Simple Interest = 5,400 unit

Now,

Amount = Principal + Simple Interest

Or, A = 12,000 unit + 5,400 unit

∴ A = 17,400 unit

Hence The amount which she will have into account after 3 years is 17,400 unit . Answer

6 0

3 years ago