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3 years ago

What is Perfect squares?

Mathematics

2 answers:

lesya692 [45]3 years ago

6 0

The product of a rational number multiplied by itself

sashaice [31]3 years ago

4 0

A perfect square is a number that can be expressed as the product of two equal integers.

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Broccoli cost 1.50 per pound at a store. How much money does 32 ounce of broccoli cost.

spayn [35]

Answer:

$3.00

Step-by-step explanation:

Step 1. Calculate the <em>pounds of broccoli</em>.

Start with what you know: you want 32 oz of broccoli.

You know that 1 lb = 16 oz. Calculate the weight in pounds

Wt = 32 × 1/16

Wt = 2 lb

===============

Step 2. Calculate the <em>cost of the broccoli</em>.

$1.50 = 1 lb Calculate the cost

Cost = 2 × 1.50/1

Cost = $3.00

7 0

3 years ago

g A coin where the probability of heads is 0.3 is flipped 2000 times. Use the normal approximation to the binomial distribution

matrenka [14]

Title:

<h2>See the explanation.</h2>

Step-by-step explanation:

The coin is to be flipped 2000 times.

The probability of getting a head is 0.3.

It is given that, we need to get a head in between 575 and 618 times.

If we will get 575 heads then we will get (2000 - 575) tails.

Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.

The probability of not getting a head is (1 - 0.3) = 0.7.

The probability of getting n times head is $^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}$ .

The required probability is ∑ $^{2000}C_n (0.3)^n \times (0.7)^{2000 - n}$ , where $575 \leq n \leq 618$ .

5 0

3 years ago

NO LINKS!! Jacob just won $32000 on the new game show, "The Wall,". He invested his winnings at an interest rate of 4.5%, compou

mixer [17]

Answers:

a) See the table below

b) The equation is $y = 32000(1.01125)^x$

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\$

Repeat for x = 1

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\$

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

-----------------------

The template for any exponential equation is $y = a(b)^x$

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from $y = a(b)^x$ to $y = 32000(1.01125)^x$

-----------------------

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

$y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\$

The investment would be worth $40,024.02 after five years, aka twenty quarters.

-----------------------

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.