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spayn [35]
3 years ago
13

PLEASE HELP...

Mathematics
1 answer:
Katena32 [7]3 years ago
8 0

Answer:

26.2655 miles

Step-by-step explanation:

Whenever possible, draw a diagram.  I've attached a picture of the balloon and the lines of depression (not drawn to scale, of course).

As you can see, the angles of depression form alternate interior angles with the ground (angles of elevation).  So these angles are also 13° and 39°.

We can use the tangents of these angles to find the base lengths of the two triangles that are formed.

tan 13° = 4 / a

a = 4 / tan 13°

tan 39° = 4 / b

b = 4 / tan 39°

So the total distance is:

a + b

= 4 / tan 13° + 4 / tan 39°

≈ 22.2655

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What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Nimfa-mama [501]

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634

7 0
3 years ago
So what's the answer for 35% of 22
kondor19780726 [428]
You divide 22 by 10 (2.2) and then multiply that by 3 to get 30%, which is 6.6. Then, you divide 2.2 by 2 to get 1.1, which is 5%. After this you just add them up to get the answer as 7.7.
Also, if you have q calculator, you can do it the short way and do 22 × 0.35 = 7.7
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =
sveta [45]

Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

5 0
3 years ago
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin
vazorg [7]

Answer:

z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784    

p_v =2*P(Z>1.784) =0.074  

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the two proportions differes at 10% of significance.

Step-by-step explanation:

Data given and notation  

X_{1}=42 represent the number of infested vines for Pernod5

X_{2}=22 represent the number of infested vines for Action

n_{1}=440 sample of Pernod5

n_{2}=360 sample of Action

\hat p_{1}=\frac{42}{440}=0.0955 represent the proportion of residents of  infested vines for Pernod5

\hat p_{2}=\frac{22}{360}=0.0611 represent the proportion of infested vines for Action

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)  

\alpha=0.1 significance level given

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if is there is a difference between thw two population proportions, the system of hypothesis would be:  

Null hypothesis:p_{1} - p_{2}=0  

Alternative hypothesis:p_{1} - p_{2} \neq 0  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{1}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{42+22}{440+360}=0.08  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784    

Statistical decision

Since is a two sided test the p value would be:  

p_v =2*P(Z>1.784) =0.074  

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the two proportions differes at 10% of significance.

4 0
3 years ago
A total of 300 pine trees will be planted in the park. There will be 2 pine trees planted for every 3 maple trees planted.
KatRina [158]

Answer:

200 pine trees will be planted

5 0
3 years ago
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