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2 years ago

Classify the following polynomials according to the number of terms. Combine any like terms first.

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

3 0

1) Combining like terms, we get x^2 + 5x, which is a binomial.

2) Combining like terms, we get x^3 + 3x^2, which is a binomial.

3) Combining like terms, we get 4x^3 + x^2 - x, which is a trinomial.

4) I can't answer this because there's an asterisk in place of the exponent.

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A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty

Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: $\hat{p}=0.84$

Significance level : $\alpha= 1-0.98=0.02$

Critical z-value : $z_{\alpha/2}=2.33$ (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}$

i.e. $\approx0.84\pm 0.085$

i.e. $(0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)$

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0

3 years ago

an angle measure x degrees. what is the measure of its compliment? what is the measure of its supplement?

Strike441 [17]

The complement of 'x' degrees is (90 - x) degrees.

The supplement of 'x' degrees is (180 - x) degrees.

4 0

4 years ago

Can somebody please help me

Nataly [62]

Answer:

The probability of drawing the first pink ball is $\frac{3}{10}$ .

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

$\frac{3}{10} *\frac{2}{9} =\frac{1}{15}$

5 0

2 years ago

your parents have 2744.69 on a credit card with a 12.75 apr they miss their minimum payment and there is a late fee of 29 how mu

Butoxors [25]

The balance at the beginning of the second month on the credit card, based on a 12.75% APR, is <u>$28,02.85.</u>

The APR or annual percentage rate is the cost of finance charged to the borrower of a loan or a credit cardholder.

When the APR is divided by 12 months, it results in MPR, which can be used to determine the interest.

<h3>Data and Calculations:</h3>

Credit card balance at the beginning of the first month = $2,744.69

APR = 12.75%

Monthly APR = 1.0625% (12.75/12)

Late Fee = $29

Ending balance at the beginning of second month = <u>$28,02.85</u> ($2,744.69 x 1.010625% + $29)

Thus, the balance at the beginning of the second month on the credit card, based on a 12.75% APR, is <u>$28,02.85.</u>

Learn more about the APR at brainly.com/question/2772156

#SPJ1

4 0

2 years ago

2 math questions. Please show your work if you can, I struggle with this, Thanks !!<br> 20pts

castortr0y [4]

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

y₁ = log₃(5x)

y₂ = log₅(2x + 8)

The solution is where the two curves cross. From the graph, that happens at x ≈ 0.957.

desmos.com/calculator/lkukjhn3g2

5 0

3 years ago