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Minchanka [31]
3 years ago
13

Which expression has the greatest value?

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

the answer is c you just have to solve each one

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A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much
stich3 [128]

Answer: 227.75\ ft^2

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

A=lw

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

l=20\ ft\\\\w=15\ ft

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2

The area of the flower garden which is an square, can be calculated with this formula:

A=s^2

Where "s" is the side length.

 In this case you know that:

s=8.5\ ft

Then the area of the flower garden is:

A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2

4 0
3 years ago
Detyra 3: Takim me furnitorin
aalyn [17]
I cant understand please turn to enlish
7 0
2 years ago
Determine which set of numbers can be the measures of the sides of a triangle.
klemol [59]

Answer:

  a)  13, 10, 16

Step-by-step explanation:

The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...

  10 + 13 > 16 . . . . choice A

_____

<em>Comment on the triangle inequality</em>

Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.

3 0
3 years ago
Read 2 more answers
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex
I am Lyosha [343]

Answer:

z = -1.53 --- test statistic

p = 0.1260 --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

n_1 = 80     \bar x_1= 104   \sigma_1 = 8.4

n_2 = 70    \bar x_2 = 106    \sigma_2 = 7.6

H_o: \mu_1 - \mu_2 = 0 --- Null hypothesis

H_a: \mu_1 - \mu_2 \ne 0 ---- Alternate hypothesis

\alpha = 0.05

Solving (a): The test statistic

This is calculated as:

z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}

So, we have:

z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}

z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}

z = \frac{-2}{\sqrt{0.8820 + 0.8251}}

z = \frac{-2}{\sqrt{1.7071}}

z = \frac{-2}{1.3066}

z = -1.53

Solving (b): The p value

This is calculated as:

p = 2 * P(Z < z)

So, we have:

p = 2 * P(Z < -1.53)

Look up the z probability in the z score table. So, the expression becomes

p = 2 * 0.0630

p = 0.1260

Solving (c): With \alpha = 0.05, what is the conclusion based on the p value

We have:

\alpha = 0.05

In (b), we have:

p = 0.1260

By comparison:

p > \alpha

i.e.

0.1260 > 0.05

So, we fail to reject the null hypothesis.

4 0
3 years ago
Find the equation of the line passing through the points (0,7) and (5,-3). <br>​
Dennis_Churaev [7]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = \frac{-3-7}{5-0} = \frac{-10}{5} = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

8 0
3 years ago
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