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3 years ago

Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP

Mathematics

1 answer:

dexar [7]3 years ago

3 0

Selections 2, 3, 5, 6 are polynomials.

1 and 4 are not. The coefficients don't have to be integers, but the powers of the variables need to be positive integers. In 1, you have x^-1. in 4, you have x^(1/2).

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Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS.

Lemur [1.5K]

Answer:

9cm

Step-by-step explanation:

Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
Now we know that QS=PT=8.
By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.

8 0

3 years ago

The nearest ten 1202(38)

Advocard [28]

Answer:

1202 is rounded to 1200

38 is rounded to 40

1200(40)= 48,000

7 0

3 years ago

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

3 years ago

Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on

Julli [10]

Answer: $14

Step-by-step explanation:

Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):

700 x (24/100) = $168 (a year)

To obtain the monthly charges, we have to divide the result by the number of months in a year (12):

168 /12 = $14

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago

A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili

Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.

Let X be the number of mistake

$P(X$