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nlexa [21]
3 years ago
7

The Masons built a deck in their backyard. What is the area of the deck? (NO units)

Mathematics
1 answer:
ozzi3 years ago
4 0
Take the area of the rectangle as a whole and subtract the triangle piece.
We know the dimensions of the triangle are 3x4 so you can multiply it out using the formula to find the triangle's area to get 6.
Then you calculate the area of the whole rectangle. 10x12=120.
Finally subtract the triangle from the rectangle. 120-6=114.
The Area of the deck is 114.
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The formula y = mx + b is called the slope-intercept form of a line. Solve this formula for m
Evgesh-ka [11]

Answer:

m = \frac{y-b}{x}

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( divide both sides by x )

\frac{y-b}{x} = m

3 0
3 years ago
A randomly generated list of numbers from 0 to 4 is being used to simulate an event with numbers 3 and 4 representing a success.
Whitepunk [10]
The answer is D, 40%. I got it by knowing that 3 and 4 were the success numbers and that 0,1, and 2 were unsuccessful and that numbers 3 and 4 are less than half, so I went with 40% and it was right. Good luck apex! Finish strong!
5 0
3 years ago
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0
3 years ago
An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling
kvv77 [185]

The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

<h3>What is the parabolic graph of the quadratic equation?</h3>

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

Learn more about parabolic graphs here:

brainly.com/question/33428

#SPJ1

8 0
2 years ago
Solve the inequalities for x, and match each solution to its number line graph.
marysya [2.9K]

Answer:

14

Step-by-step explanation:

8 0
3 years ago
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