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3 years ago

6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land

Mathematics

1 answer:

Vlada [557]3 years ago

8 0

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

Solving by quadratic formula

width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

Length = width + 900

2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

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What is 2/5 (3/4) in simplest form?

GalinKa [24]

3/10

2/5 x 3/4 = 3/10 and that is in simplest form

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3 years ago

How to write a real world problem involving the subtraction of two mixed numbers whose difference is less than 2 1/2

madreJ [45]

You can do 2 1/2 minus 1 1/8 to get 1 3/8. Your welcome and I hope you get a good grade

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3 years ago

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average

Reil [10]

Answer:

a) Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

|t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

Level of significance ∝ = 0.01

Step(ii):-

The test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }$

On calculation , we get

t = -3.33

|t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that 0.001 < P < 0.005

P- value < 0.01

we rejected H₀

(or)

The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

4 0

3 years ago

How far can a dog run into the woods?

lisabon 2012 [21]

Answer:

Half way

Step-by-step explanation:

Half way, because the dog can run all the way through the woods, but only half of the time he is going in, the rest of the time he is going out.

3 0

3 years ago

When he exercises after work,Marcus runs an average mile in 8.3 minutes. At this average, how many miles will he run after 36 mi

timurjin [86]

Answer:

Marcus will run an average of 4.3 miles after 36 minutes.

Step-by-step explanation:

Given:

Marcus runs an average mile in 8.3 minutes.

1 miles = 8.3 minutes

We need to find miles he ran at same average in 36 minutes.

How many miles = 36 minutes

Using Unitary Method we will find miles he run at 36 mins by multiplying 1 mile with 36 minutes and the dividing it with 8.3 minutes we get;

An Average mile run after 36 min = $\frac{36}{8.3}= 4.337\ miles$

Rounding to nearest tenth we get ≈ 4.3 miles.

Hence, Marcus will run an average of 4.3 miles after 36 minutes.

8 0

3 years ago