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1 year ago

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Mathematics

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Kisachek [45]1 year ago

4 0

The amount of paper that Lemon needs for the actual poster will be 8 square feet.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The dimension of the poster is 10 cm by 20 cm.

And the scale factor will be 5 cm is equal to 1 ft.

Then the dimension of the poster will be 2 ft by 4 ft.

Then the amount of the paper that Lemon needs for the actual poster will be

Area = 2 × 4

Area = 8 ft²

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ1

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I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

_____________________________________

5 0

2 years ago

A multiple choice exam consists of 10 questions, each having 5 possible answers. To pass, you must answer at least 6 out of 10 q

prohojiy [21]

You have a 1:2 chance of guessing the right answer, if you have to guess between the two.

6 0

3 years ago

What number should be added to both sides of the equation to complete the square x^2+3x=6

Allisa [31]

Take half of the coefficient of x: It is 3, and half that is 3/2.

Then x^2+3x=6 becomes:

 x^2+3x + (3/2)^2 =6 + (3/2)^2, and

(x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

Solve (x+3/2)^2 = 6 + 9/4 for x. There will be 2 values.

8 0

3 years ago

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0

3 years ago

Please Help I Have No Idea What They Talking Bout

Black_prince [1.1K]

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

8 0

3 years ago