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katovenus [111]
3 years ago
6

In 1982 there were 2.5 million farms in the US, while in 2014 there were only 2.1 million farms. Find the percent of decrease.

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
16% decrease

Hope this Helps
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PLEASE HELP ME 100 POINTS AND BRAINLY!!!
vredina [299]

Answer:

1. 220 minutes

2. $45.6

Step-by-step explanation:

8 0
2 years ago
Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.
maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

H_o : p_1 =p_2

The altenative is:

H_a : p_1 \ne p_2

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

\hat p_1 = \dfrac{44}{66}

\hat p_1 = 0.6667

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

\hat p_2 = \dfrac{18}{46}

\hat p_2 = 0.3913

The pooled proportion p = \dfrac{18+44}{66+46}

p = \dfrac{62}{112}

p = 0.55357

The estimated standard error S.E is:

= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}

= \sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}

=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}

=\sqrt{ 0.00911638798}

= 0.0955

The Z test statitics can now be computed as:

Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}

Z = \dfrac{0.6667 -0.3913}{0.0955}

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

5 0
3 years ago
(8w^7 x^-5 y^3 z^-9)^2/3<br> Please find an equivalent answer to the problem.
-BARSIC- [3]

Answer:

your answer will be option A

Step-by-step explanation:

(8w^7x^-5y^3z^-9)-2/3

= (8)-2/3×(w^7)^-2/3×(x^-5)^-2/3×(y^3)^-2/3×(z^-9)-2/3

=(2^3)^-2/3×w^-14/3×x^10/3

xy^-2xz^6

=2^-2 w^-14/3 x^10/3 y^-2 xz^6

=1/4×1/w^14/3× x^10/3 xz^6/y^2

=x^10/3z^6/4w14/3y^2

hope it helps..

have a great day!!

7 0
3 years ago
Given that the hypotenuse of this right triangle is 25 cm long and that tan(θ) = 3find the values of x and y, accurate to the ne
lara31 [8.8K]
The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.

3a = o

Then, using Pythagorean's theorem:

25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm

Then, 3(7.9) = o = 23.7 cm

So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
4 0
3 years ago
Read 2 more answers
Find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed
kipiarov [429]
See the figure attached to better understand the problem

we now that

in the triangle ABC
tan alfa=126/120----------> 1.05
alfa=arctan (1.05)-------> alfa=46.40°

in the triangle ADC

sin alfa=DC/120----------> DC=sin(46.40°)*120---------> DC=86.90 units

the answer is 86.9 units

3 0
3 years ago
Read 2 more answers
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