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2 years ago

How many ways are there to make 50 cents in change using only pennies,

1 answer:

3 0

The many permutations of the amount of change that may be obtained by solely utilizing pennies, nickels, dimes, and quarters

(50 pennies45 cents, 1 nickel40 pennies, 2 nickels40 pennies, 1 dime35 penny, 3 nickels35 pennies, 1 nickel,...)

In all, there are 48 of them. This is further explained below.

<h3>What are pennies?</h3>

Generally, The cent is the name given to the coin that is worth one cent in the United States. It is also often referred to as the "penny." One cent is equivalent to one-hundredth of a United States dollar. Since the removal of the half-cent in 1857, it has held the position as the United States currency unit with the smallest value printed on its face.

In conclusion, The different ways that 50 cents in change using only pennies, nickels, dimes, and quarters are

(50 pennies45 pennies, 1 nickel40 pennies, 2 nickels40 pennies, 1 dime35 penny, 3 nickels35 pennies, 1 nickel,...)

They are 48 in total

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Several years ago, 43% of parents who had children in grades K-12 were satisfied with the quality of education the students r

Ne4ueva [31]

<h2><u>Answer with explanation</u>:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set of hypothesis :

$H_0: p=0.43\\\\ H_a:p\neq0.43$

Confidence interval for population proportion is given by :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where

n= sample size

$\hat{p}$ = sample proportion

and $z_c$ is the two-tailed z-value for confidence level (c).

As per given ,

Sample size of parents : n= 1085

Number of parents indicated that they were satisfied= 466

Sample proportion : $\hat{p}=\dfrac{466}{1085}\approx0.429$

Critical value for 90% confidence interval : $z_c=1.645$ ( by z-value table)

Now, the 90% confidence interval :

$0.429\pm (1.645)\sqrt{\dfrac{0.429(1-0.429)}{1085}}\\\\=0.429\pm 0.0247\\\\=(0.429-0.0247,\ 0.429+0.0247)\\\\=(0.4043,\ 0.4537)$

Thus , the 90% confidence interval: (0.4043, 0.4537).

Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .

i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.

3 0

3 years ago

What is the surface area of a sphere with a radius of 20 m?

navik [9.2K]

SA=4pir^2
r=20m
SA=4pi20^2
SA=4pi400
SA=1600pi m^2

8 0

3 years ago

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consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

emmasim [6.3K]

Answer:

$x=1$ and $x=4$

Step-by-step explanation:

We have the following system of equations:

$y=\sqrt{x}$ and $y=x-2$

To solve the problem, we need to equal the two equations:

$x-2=\sqrt{x}$ ⇒ $(x-2)^{2} =x$ ⇒ $x^{2} -4x + 4 = x$

⇒ $x^{2} -5x + 4 = 0$

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are $x=-1$ and $x=-4$ .

Then, the factorized form of the polynomial is: $(x-1)(x-4)$ .

The, the solution to the system of equations is: $x=1$ and $x=4$ .

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3 years ago

For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many

matrenka [14]

Answer:

40 rubber bands are needed

5 rubber bands will be left from 5 bags of of rubber band

Step-by-step explanation:

Each student will need five rubber bands.

There are eight students

Total rubber bands needed = rubber bands per student × number of students

= 5 × 8

= 40

Total rubber bands needed = 40

Rubber bands come in bags of nine.

Number of bags needed = Total rubber bands needed / number of rubber bands in each bag

= 40 / 9

= 4.44 bags

It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5

5 rubber bands bags will be bought which = 5 × 9

= 45 rubber bands

Only 40 rubber bands are needed

Left over rubber bands = 45 - 40

= 5 rubber bands

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3 years ago

-3.1+7-7.4x=1.5x-6(x-3/2)

Ronch [10]

Answer:

1.76

Step-by-step explanation:

3.9-7.4x=-4.5x+9

-2.9x=5.1

x=1.758 or 1.76

I hope this helps, if not i'm sorry.

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3 years ago

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