Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.

Y = 6x − 4

Kamila [148]

Answer:

Part B: $\displaystyle [1, 2]$

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

$\displaystyle -1 = -x; 1 = x$

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

$\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m$

I am joyous to assist you at any time.

3 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

One way to show that two triangles are similar is to show that

avanturin [10]

Answer:

show that the three sets of corresponding sides are in proportion. If the three sets of corresponding sides of two triangles are in proportion, the triangles are similar.

Step-by-step explanation:

7 0

3 years ago

One package of socks cost $7. How many packages can you but with $56?

Akimi4 [234]

Step-by-step explanation:

$7 = 1 package socks

%56 = ??

$56/$7 × 1 package socks

= 8 × 1

= 8 package socks

Hope it helps!

4 0

3 years ago

Can somebody please solve question 11 for me?

love history [14]

1+tan^2(A) = sec^2(A) [Pythagorean Identities]

tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)

*see photo for complete solution*

6 0

3 years ago