All categories

3 years ago

Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

Represents

Step-by-step explanation:

Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.

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A composite figure has three congruent triangles removed from it.

ZanzabumX [31]

ABCDEFGHIJKLMNOPQRSTUVWXYZ

4 0

3 years ago

A recent poll asked people whether they supported passing a constitutional amendment to ban burning of the national flag using a

Natalka [10]

Answer:

Step-by-step explanation:

Hello!

You are asked to test the difference of the population means of the opinion of men and women over a constitutional amendment to ban burning the national flag.

Population 1 (women)

Sample n₁= 400

X[bar]₁= 80.6

Population 2 (men)

n₂= 586

X[bar]₂= 77.6

σ₁= σ₂ = σ =3.5

To test whether there is a difference between the opinion of people about the amendment regarding their gender the hypothesis is:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

The statistic to use is a pooled Z:

Z= (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) ~N (0;1)

σ*√(1/n₁ + 1/n₂)

The critical region for this hypothesis is two tailed:

$Z_{\alpha /2} = Z_{0.025} = -1.96$

$Z_{1-\alpha /2} = Z_{0.975} = 1.96$

Z= (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) = (80.6-77.6) - 0 = 13.215

σ*√(1/n₁ + 1/n₂) 3.5√(1/400 + 1/586)

Since the calculated Z-value is greater than the right critical value -81.96) the decision is to reject the null hypothesis. There is significant evidence to conclude that there is no difference between the population means of the opinion about the constitutional amendment to ban the burning of the national flag of women and men.

I hope it helps!

8 0

3 years ago

Solve the system by graphing 3x+y=4 and x-y=4

sasho [114]

Attached is a pic of the graph

3 0

3 years ago

Shelby made a mistake in her checkbook. She wrote a check for $8.50 to rent a video game but mistakenly recorded it in her check

alekssr [168]

Answer:

Part A

The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while

The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add

Part B

The absolute value of a number is never negative.

|-8.50| = 8.50

Step-by-step explanation:

Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.

The firsts transaction says:

She wrote a check for $8.50 to rent a video game.

Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.

Mathematically this means, -$8.50

The second transaction states that:

She mistakenly recorded it in her checkbook as an $8.50 deposit.

Mathematically, a deposit means a positive action, where money is added to the money in her bank account.

Hence,

+$8.50

Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.

In mathematics it is important to note that:

The absolute value of a number is never negative.

Hence,

Debt of $8.50 = -8.50

Deposit of $8.50 = +8.50

Hence,

|-8.50| = 8.50

4 0

3 years ago

A new bank customer with $3,500 wants to open a money market account. The bank is offering a simple interest of 1.6%.

Bond [772]

Answer:

A is $490 and B is 3990

Step-by-step explanation:

The way I solved this is with my last brain cells, you welcome.

4 0

3 years ago