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Dmitry_Shevchenko [17]
3 years ago
10

Toms garden is 8 acres. Two fifths is corn. Of that, three tenths is early corn and one tenth is late corn. How many acres of ea

rly corn does he have ?
Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

He have <u>0.96 acres</u> of early corn.

Step-by-step explanation:

Given:

Toms garden is 8 acres. Two fifths is corn.

Of that, three tenths is early corn and one tenth is late corn.

Now, to find the acres of early corn.

Total garden = 8 acres.

Total Corn in garden = \frac{2}{5}\ of\ 8=\frac{2}{5} \times 8=\frac{16}{5} acres.

<em>As, given of the total corn in garden, three tenths is early corn.</em>

Now, to get the early corn he have:

= \frac{3}{10} of \frac{16}{5}

= \frac{3}{10} \times \frac{16}{5}

= \frac{48}{50}

= 0.96\ acres.

Therefore, he have 0.96 acres of early corn.

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Find the distance between the points (-7.2, -9.3) and (-7.2, -1.1)
AlexFokin [52]

Answer:

8.2

Step-by-step explanation:

-7.2 to -7.2 is 0

-9.3 to -1.1 is 8.2

Pythagorean theorem is a^2+b^2=c^2

0^2=0

8.2^2=67.24

0+67.24=0

√67.24=8.2

The distance between the to points is 8.2

6 0
2 years ago
A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r
padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,          

         

33.7625   9.7125   30.525  

39.2375   11.2875   35.475

Using chi^2 = Sum[(O - E)^2/E],          

chi^2 =    4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a =    3      

b =    2

df =    2

Thus, the critical value is

significance level =    0.05

chi^2(critical) =    5.991464547

Also, the p value is

P =    0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0
3 years ago
Determine which equation is belongs to the graph of the limacon curve below.
JulsSmile [24]

Answer: Option C.

Step-by-step explanation:

We have functions of r(θ)

In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.

We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.

Then let's analyze the options:

A) r = 3 - 2*cos(θ)

the maximum is at the right angle, but the maximum is:

r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.

B) r = 3 - sin(θ)

For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.

C) r = 3 - cos(θ)

The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.

the minimum is r = 3 - 1 = 2,

this is a possible equation for our circle.

D) r = 2 - 2*cos(θ)

Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.

So the only option that makes sense is option C.

8 0
3 years ago
Can someone solve this
Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

8 0
2 years ago
You have $28, and you want to get half-dollar coins from the bank to give to children who come into your store. What is the most
g100num [7]

Answer:

28

Step-by-step explanation:

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7 0
3 years ago
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