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kodGreya [7K]
2 years ago
8

Calculate the area of a parallelogram with a 4 inch side, a 10 inch side, and 3 inches tall

Mathematics
1 answer:
stellarik [79]2 years ago
6 0

Answer:

30

Step-by-step explanation:

Assuming your parallelogram looks like the one in the attached image.

The area of a parallelogram is base x height,  A=bh.

The base is 10; the height is 3, so A = 10 x 3 = 30.

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Determine the number and types of solutions for<br><br> 6m^2-3m-4=0
Anna11 [10]

Answer:

2 real solutions

Step-by-step explanation:

Remember this messy thing?

x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.

For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.

4 0
2 years ago
Monthly water bills for a city have a mean of $108.43 and a standard deviation of $36.98. Find the probability that a randomly s
GaryK [48]

Answer:

The bill size can be considered usual.

Step-by-step explanation:

Mean (μ) = $108.43

Standard deviation (σ) = $36.98

Now, consider the distribution to be normal distribution :

P(Z=\frac{X-\mu}{\sigma}>\frac{a-\mu}{\sigma})=P(Z>\frac{173-108.43}{36.98})\\\\\implies P(Z>1.75)

Now, finding values of z-score from the table. We get,

P(Z > 1.75) = 0.9599

⇒ 95.99%

So, only 4.01 % of the people in the city wastes water.

Hence, the bill size can be considered usual.

6 0
2 years ago
Read 2 more answers
At a college, 4/5 of the students take an English class. Of these students, 5/6 Composition. Which fraction of the students at t
Alchen [17]
If I’m doing it correctly it’s 2/3 but I haven’t done it in a while
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3 years ago
Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0
Margarita [4]

Answer:

y = -4x + 4

Step-by-step explanation:

8x+2y+2=0

turn that into slope intercept form:

y = -4x - 1

a parallel line has the same slope, but different y-intercept

y = -4x + b

put (2,-4) into the equation

-4 = -4(2) + b

you get b=4

final product:

y = -4x + 4

3 0
3 years ago
How will you know if the function is exponential given its equation?
Mashcka [7]

Answer: the "m" value (if using y=mx+b) will have" x" as an exponent

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