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Alisiya [41]
3 years ago
12

Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she p

lant in one hour?
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

Answer:

Latoya can plant 5/6 of her garden in one hour.

Step-by-step explanation:

☆We can solve using proportion!

\frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour }  =  \frac{x}{1 \: hour}  \\  \\  \frac{ \:   \frac { 2}{5}x }{ \frac{2}{5} }  =  \frac{ \frac{1}{3} }{ \frac{2}{5} }  \\  \\ x =  \frac{5}{6}

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Suppose a sample of 256 was taken from a population with a standard deviation of 96 centimeters. What is the margin of error for
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Answer:

D. 6

Step-by-step explanation:

Here we are given that a sample of 256 was taken from a population with a standard deviation of 96 centimeters i.e. \sigma = 96 and n = 256.

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Firstly from z score% table we observe that at 32% level of significance the z score critical value is given by 0.99744 .

<em>And Margin of error formula is given by ;</em>

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3 0
3 years ago
Y=x² + 16x + 64
motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

---------------------

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

---------------------

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
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