MATHEMATICS COLLEGE

Please help ! Thanks

Answers

Answer 1

Answer:

Answer: 12x - 24y - 2

Step-by-step explanation:

Answer 2

Answer:

Answer:

12x-24y-2

Step-by-step explanation:

So, we multiple all the values in the bracket with six to get something like this:

$(6*2x)+(6*-4y)+(6*-(1)/(3) )\n= 12x + (-24y) + (-2)\n= 12x -24y -2$

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What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT

Answers

Answer:

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common

Please help its vocab matching

Answers

Answer:

1. S

2. G

3. I

4. O

5. P

6. D

7. C

8. F

9. J

10. Q

11. E

12. K

13. R

14. A

15. B

16. N

17. M

18. L

19. H

Step-by-step explanation:

4. O

→ 3 is a coefficient of 3x

5. P

→ 3 is a common factor in the expression 3x+9

6. D

→example of a constant term is 1,3,10

7. C

→ $cosx=(adjacent)/(hypotenuse) =(A)/(H)$

8. F

→ $x^(2) -4$ will be factorised as (x-2)(x+2)

9. J

→ example of an expression is $2x+9$

10. Q

→ factors of 3 are 3×1.

11. E

→ example of factoring is $(x+2)(3x+4)$

12. K

→ example of a factored completely is $2x(x+y)$

14. A

→example of a polynomial is $3yx^(3) +xy^(2) -2x+9$ .

15. B

→ example of a quadratic expression is $x^(2) +6x-9$ .

17. M

→ $sinx=(opposite)/(hypotenuse) =(O)/(H)$

18. L

→ $tanx=(opposite)/(adjacent) =(O)/(A)$

19. H

→ example of a term is 2x,3,40

A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that if
there really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the ones
obtained in this study. Which statement cannot be said?
The better treatment for carpal tunnel syndrome is surgery.
The result has practical significance.
The recommended treatment for carpal tunnel syndrome is splinting.
The result has statistical significance.

Answers

Answer:

the answer is c

Step-by-step explanation:

because if the surgery has a 92% success rate and the splints have a 72% success rate then surgery would be recommended because it has a higher success rate

(10x² +34
+ 34x+ 30) = (2x+4)

Answers

Answer:

2 = 0

This equation has no solution.

Step-by-step explanation:

A a non-zero constant never equals zero

Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8

Answers

Answer: The required equation of the ellipse in standard form is $(y^2)/(25)+(x^2)/(16)=1.$

Step-by-step explanation: We are given to find the equation of an ellipse in standard form with the vertical major axis of length 10 units and minor axis of length 8 units.

Since the major axis is vertical, so it will lie on the Y-axis. Let the standard form of the ellipse be given by

$(y^2)/(a^2)+(x^2)/(b^2)=1,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where the length of major axis is 2a units and length of minor axis is 2b units.

According to the given information, we have

$2a=10\n\n\Rightarrow a=(10)/(2)\n\n\Rightarrow a=5$

and

$2b=8\n\n\Rightarrow b=(8)/(2)\n\n\Rightarrow b=4$

Substituting the values of a and b in equation (i), we get

$(y^2)/(5^2)+(x^2)/(4^2)=1\n\n\n\Rightarrow (y^2)/(25)+(x^2)/(16)=1.$

Thus, the required equation of the ellipse in standard form is $(y^2)/(25)+(x^2)/(16)=1.$

(x/h)^2+(y/v)^2=1 where h is the horizontal radius and v is the vertical radius

In this question it seem that they are saying the length of the axis and not radius so I would cut them in half so that they are radii...then:

(x/4)^2+(y/5)^2=1

x^2/16+y^2/25=1

Suppose monthly rental prices for a one-bedroom apartment in a large city has a distribution that is skewed to the right with a population mean of $880 and a standard deviation of $50. (a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?
(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Answers

Answer:

a) Nothing, beause the distribution of the monthly rental prices are not normal.

b) 1.43% probability that the sample mean rent price will be greater than $900

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$

(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?

Nothing, beause the distribution of the monthly rental prices are not normal.

(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Now we can apply the Central Limit Theorem.

$\mu = 880, \sigma = 50, n = 30, s = (50)/(√(30)) = 9.1287$