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1 year ago

From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's

1 answer:

4 0

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is x.

The horizontal change is of 602 ft.

The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

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Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)

kari74 [83]

Answer:

x=-1 1/2,x=-1.5

Step-by-step explanation: x=-3/2

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3 years ago

Can someone simplify pls

algol [13]

we are given to simplify

$\\ \ (x^6y^5)(5xy^2)(-6x^4)\\ \\$

Open the bracket and write the like terms together

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when the bases are same then the exponents gets added

$\\ \ =-30x^{6+1+4}y^{2+5}\\ \\ \ =-30x^{11}y^7$

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3 years ago

Read 2 more answers

4.One attorney claims that more than 25% of all the lawyers in Boston advertise for their business. A sample of 200 lawyers in B

AleksAgata [21]

Answer:

$z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123$

$p_v =P(Z>2.123)=0.0169$

The p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .

Step-by-step explanation:

1) Data given and notation

n=200 represent the random sample taken

X=63 represent the lawyers had used some form of advertising for their business

$\hat p=\frac{63}{200}=0.315$ estimated proportion of lawyers had used some form of advertising for their business

$p_o=0.25$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that more than 25% of all the lawyers in Boston advertise for their business:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(Z>2.123)=0.0169$

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3 years ago

Apply the distributive property to factor out the greatest common factor of all three terms. 14x + 21y + 7z =

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I think 7 would be the greatest common factor as they all have different variables. By factoring out 7 you should end up with, 2x+3y+z=

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3 years ago

Read 2 more answers

Will some one help me please will friend

aliina [53]

Add the equations,just the way they appear there.

-- Add the top 'x' to the bottom 'x'. Write the sum under the 'x's.
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You should now have an equation with only 'x' in it and no 'y'.
You can easily solve that one and find out the value of 'x'.

Once you know the value of 'x', go back to either one of the original
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You'll then have an equation with only 'y' in it and no 'x'.
You can easily solve that one and find out the value of 'y'.

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3 years ago