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Lerok [7]
3 years ago
8

A cross-section of an irrigation canal is a parabola. If the surface of the water is 34 ft wide and the canal is deep at the cen

ter, how deep is it 9 ft from the edge?
Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

6.41 ft

Step-by-step explanation:

Equation is y=ax^2

y=15

x=16.5

15=a(16.5)^2

a=0.055

So, to get depth at 4 ft from edge, I assume my new x value is 12.5.

Derived from 16.5 - 4 = 12.5

So:

y= 0.055 * (12.5)^2

y = 8.59

To get depth, I assume subtract from center depth of 15ft.

15ft - 8.59ft = 6.41ft

Answer is 6.41ft.

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The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the te
Luba_88 [7]

Answer:

102

Step-by-step explanation:

We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:

z = (x - m) / sd

In the first case x = 148:

z = (148 - 128.5) /8.2

z = 2.37

In the second case x = 102:

z = (102 - 128.5) /8.2

z = -3.23

In the first case x = 152:

z = (152 - 128.5) /8.2

z = 2.86

The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.

3 0
2 years ago
Hey:) can you please help me posted picture of question
oee [108]
Answer:
x² + 10x + 25

Explanation:
Before we begin, remember the following:
(a + b)(a + b) = (a + b)² = a² + 2ab + b²

Now, for the given we have:
(x + 5)(x + 5)
We can note that the two brackets are identical.
Therefore, we can apply the above rule as follows:
(x + 5)(x + 5) = (x + 5)²
                     = (x)² + 2(x)(5) + (5)²
                     = x² + 10x + 25

Hope this helps :)
8 0
3 years ago
I read 1/3 of a book in an hour.<br> How much more of the book will I read in 2 1/5 hours
Verizon [17]

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

\sf \text{  Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }

                                                       \sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}

\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}

                                                                 \sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}

7 0
1 year ago
Read 2 more answers
There are about 320 million people living in the United States. Of these, how many would you predict wear corrective lenses
tiny-mole [99]

Answer:

240 million

Step-by-step explanation:

Google said that three out of four people wear corrective lenses which is also 75%. So whats 75% out of 320 million? <u>Half of 320 million is 160 million</u>. <u>Half of 160 million is 80 million, 160 million plus 80 million is </u><u>240 million.</u>

8 0
3 years ago
Read 2 more answers
There are answer choices !
Juli2301 [7.4K]

Answer:

1

Step-by-step explanation:

m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁

m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1

The equation for this relationship is

y = x + 5

4 0
2 years ago
Read 2 more answers
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