Rectangle ABCD is reflected on a coordinate plane over the x-axis to create

Is 3(2)^x equivalent to 1.5(2^x)(2^1)

Volgvan

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

1.5x2^x x2

3x2^x

6 0

4 years ago

Suppose 55 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft drink, and 48 percent order b

Zolol [24]

Answer: No, the orders are not independent.

Step-by-step explanation:

If event 1 has some possible outcomes, suppose that we choose a given outcome 1 with a probability P1, and event 2, also with different possible outcomes, we can select an outcome 2, that has a probability P2, and the two events are independent (meaning that the outcome in event 1 does not affect the outcome in event 2, and vice versa)

Then the probability of outcome 1 and outcome 2 happening at the same time is equal to the product of their individual probabilities.

P = P1*P2.

In this case, event 1 is the selection of the pizza, and outcome 1 is the selection of the square pizza, with a probability of 55%.

Event 2 is the selection of the drink, outcome 2 is the order of a soft drink, with a probability of 72%.

If those two events were independent, then the probability that a customer orders a square pizza and a soft drink would be:

P = 0.55*0.72 = 0.396 (or 39.6%)

But we know that the actual probability is 48%.

So this is larger, which means that the outcomes are not independent.

3 0

3 years ago

Modern computers are built using the principle of Hierarchical layers of abstraction. Explain Hierarchical layers of abstraction

bearhunter [10]

Answer:

Hierarchical layers of abstraction in computers are used to hide information and manage deep functionality by allowing the separation to facilitate platform independence.

Step-by-step explanation:

Hierarchical layers of abstraction in computers:

Hierarchical layers of abstraction in computers are used to hide information and manage deep functionality by allowing the separation to facilitate platform independence.

In Hierarchical layers, users work independently at each level of the hierarchy.

example:

Abstraction in computing is language abstraction

Development of programming languages from machine language to assembly language and then high-level language is an example of Hierarchical layers of abstraction. Here each stage is a base for the next stage.

5 0

4 years ago

Write 6.39 repeated as a mixed number in simplest form? <br> Please make sure you simply!!!!

AysviL [449]

Answer: Hope this helps

Step-by-step explanation:

6.39 = 639

100

= 639

100

as a fraction

To convert the decimal 6.39 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

6.39 = 6.39

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

6.39

1

= (6.39 × 100)

(1 × 100)

= 639

100

.

(This fraction is alread reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 639

100

is also equal to 639

100

when expressed as a mixed number

6 0

3 years ago

Find the area and the circumference of the circle. Round your answers to the nearest hundredth.

monitta

Answer:

The circumference is 50.24 and the area is 200.96

Step-by-step explanation:

The way you get these answers is you take the radius which is 8 in this case and then you input it into the equations of finding circumference and area

Circumference: 2 times pi times radius so in this case 2 times 3.14 times 8

Area: pi times radius squared so 3.14 times 8 times 8

4 0

2 years ago