MATHEMATICS COLLEGE

How do you simplify this algebraic expression if a minus sign is in front of the parentheses?

Answers

Answer 1
Answer: Treat the negative sign as a -1 and distribute the negative sign to everything inside the parenthesis. 

Ex. -(8x^2+3x-1)
       -8x^2-3x+1

Basically all the signs flip.

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Literally have no clue how to do the heart beat please help

Answers

Step-by-step explanation:

To find the rate, divide the number of heartbeats by the number of seconds.

You: 22 beats / 20 seconds = 1.1 beats per second.

Friend: 18 beats / 15 seconds = 1.2 beats per second.

Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s) in the appropriate answer blanks). Enter DNE in any unused blanks.

Answers

Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Which value of x is in the solution set of the inequality -2(x-5)<4

Answers

The value of X would be: x > 3

Is the sum of any 2 consecutive prime numbers also prime?

Answers

Answer:

Yes! (it’s making me write 20 letters so yes is ur answer ok cool)
Yes beachside I really don’t know you it juts is

Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer:

Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

Step-by-step explanation:

We need to factor the term: 5a(y + 4) + 8(y + 4)

Factoring:

5a(y + 4) + 8(y + 4)

Taking (y+4) common

(y+4)(5a+8)

It cannot be further factored.

So, Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time college students who earn a​ bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 99​%. Complete parts​ (a) through​ (c) below.a. Assume that nothing is known about the percentage to be estimated.n = ________b. Assume prior studies have shown that about 55% of​ full-time students earn​ bachelor's degrees in four years or less.n = _______c. Does the added knowledge in part​ (b) have much of an effect on the sample​ size?

Answers

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

(c) Yes, on increasing the proportion value the sample size decreased.

Step-by-step explanation:

The confidence interval for population proportion p is:

CI=\hat p\pm z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}

The margin of error in this interval is:

MOE=z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}

The information provided is:

MOE = 0.02

z_(\alpha/2)=z_(0.05/2)=z_(0.025)=1.96

(a)

Assume that the proportion value is 0.50.

Compute the value of n as follows:

MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.50(1-0.50))/(n)}\nn=(1.96^(2)*0.50(1-0.50))/(0.02^(2))\n=2401

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of n as follows:

MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.55(1-0.55))/(n)}\nn=(1.96^(2)*0.55(1-0.55))/(0.02^(2))\n=2376.99\n\approx2377

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.
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