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3 years ago

Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

a linear equation normally looks like y = mx + b, where m and b are constants, x is the independent variable, y is the dependent variable.

Step-by-step explanation:

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Which inequality is represented by this graph? Also, if someone could tell me how this works that would be great :D

inysia [295]

Answer:

y > -1/6 x+1

Step-by-step explanation:

The graph line is dotted. Dotted lines means greater than or less than. ( <, >)

Solid lines means less than or equal to or greater than or equal to (≤,≥)

Since the graph is shaded above the line, that means y is greater than the line. If it were shaded below the line, y would be less than.

y > -1/6 x+1

5 0

3 years ago

5t-14=-14 solve the equation for t

ikadub [295]

Hi there!

Before we begin, let's rewrite your equation. :)

$5t - 14 = -14$

Step 1) Add 14 to both sides.

$5t - 14 + 14 = -14 + 14 5t = 0$

Step 2) Divide both sides by 5.

$\frac{5t}{5} = \frac{0}{5}$

$t = 0$

Final Answer -

$t = 0$

Hope this helps!

Message me if you need anymore help! :D

3 0

3 years ago

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

σ = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

σ = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62$

Thus, the sample size required is 62.

3 0

3 years ago

15 1/4 acres of land are to be divided into lots of at least 2/3 acres each What is the maximum number of lots that can be creat

Sholpan [36]

Well, if you want the maximum number of splits, then you want to make
each individual split as small as possible.
That's 2/3 acre. How many will that give you ?

(15 and 1/4) divided by (2/3)

= (15.25) / (0.666...) = 22.875 pieces .

The maximum number of 2/3-acre lots you can sell is 22 lots.

Then you have 58.3% of an acre of land left over that you can't sell
because it's less than 2/3 acre. Sadly, that 58.3% of an acre is just
about the size of the lot that I've been living n for almost 30 years.
You really know how to rub it in, dontcha !

5 0

3 years ago

Read 2 more answers

In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many stu

KATRIN_1 [288]

Answer: 32

Step-by-step explanation:

There are 18 boys and 14 girls (4 more boys than girls. 32 students total.

7 0

3 years ago

Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.​

Aa liner equation in two variables, x and y, is an equation that can be written in the form ____, where m and b are constants.