Write y^2*y^4 without exponents

How many kilograms a 2 liter jug can hold

vfiekz [6]

2 kg. Each liter is equal to 1 kg

6 0

3 years ago

I need help please and thank you

Brums [2.3K]

Well I THINK triangle ABC is just a stretched out version of triangle DEF.

To find the area of a triangle, you multiply base and height, and divide by 2.

Area of DEF is 6, so that means that (4 * x)/2 = 6.

6*2 = 12....

4 * x = 12........

4 * 3 = 12.

x = 3.

Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.

3*3 = 9.

(12 * 9)/2 =54

5 0

3 years ago

Read 2 more answers

Amy is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cy

Hitman42 [59]

Answer:

Amy would require 411 square inches of fabric to cover the lateral surface area of the cylindrical container.

Step-by-step explanation:

We are given the following in the question:

Dimension of cylindrical container:

Height, h = 11.1 inch

Radius, r = 5.9 inch.

We have to calculate the fabric require to cover the LSA of the cylindrical container.

Fabric required = LSA of cylindrical container

$LSA = 2\pi rh$

Putting vales, we get,

$LSA = 2\times 3.14\times 11.1\times 5.9\\LSA = 411.2772\\LSA\approx 411\text{ square inches}$

Thus, Amy would require 411 square inches of fabric to cover the lateral surface area of the cylindrical container.

7 0

3 years ago

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both

geniusboy [140]

Answer:

14 arcade games and 8 photobooths were purchased

Step-by-step explanation:

x will represent the number of arcade games

y will represent the number of photobooths

We know that 22 total machines were bought which means that x+y=22

We also know that the total was 53600 which means that 2000x+3200y=53600

We can use substitution to solve this

x+y=22

x-22= -y

-x+22=y

Then plug this in for y in the next equation

2000x+3200(-x+22)=53600

Solve this and get x=14

Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)

14+y=22

this means y=8

This means that 14 arcade games and 8 photobooths were purchased

I double checked the math on desmos and it is correct

6 0

3 years ago

A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during

forsale [732]

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability 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.

12 properties

This means that $n = 12$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling no more than 6 properties in one week.

This is:

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002$

$P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029$

$P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161$

$P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537$

$P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208$

$P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934$

$P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256$

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127$

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

6 0

3 years ago