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2 years ago

A helicopter flies 168 miles against the wind in 2 hours; with the wind, it can

Mathematics

1 answer:

Phoenix [80]2 years ago

6 0

Answer:

105 mile/hour

Step-by-step explanation:

(H - W) x 2 = 168 against wind, speed = helicopter - wind

(H + W) x 2 = 252

H - W = 84 against wind, speed = helicopter - wind

H + W = 126

2H = 84 + 126 = 210

H = 105

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F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7

djyliett [7]

Answer:

${5x}^{2} + 6x = - 8$

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

${ - 12x}^{2} - 15x + 7 - ({ - 7)x}^{2} + 9x - 15$

Now we can solve for the equation.

${ - 5x}^{2} - 6x - 8 = 0 \\ {5x}^{2} + 6x = - 8$

3 0

2 years ago

Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

Otrada [13]

Answer: (0.8115, 0.8645)

Step-by-step explanation:

Let p be the proportion of people who leave one space after a period.

Given: Sample size : n= 525

Number of people responded that they leave one space. =440

i.e. sample proportion: $\hat{p}=\dfrac{440}{525}\approx0.838$

z-score for 90% confidence level : 1.645

Formula to find the confidence interval :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)

3 0

2 years ago

a triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle

Usimov [2.4K]

I think you forgot to give the options along with the question. I am answering the question based on my research and knowledge. "<span>(-3,-4), 3,-4), (3,4)" could be the vertices of the triangle described in the question. I hope that this is the answer that you were looking for and it has come to your great help.</span>

6 0

2 years ago

Figure ABCD is a rhombus. Find the value of x. <br><br> 58° <br><br> x = [ ? ]°

melisa1 [442]

The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.

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

It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.

Figure ABCD is a rhombus.

Its diagonals intersect at right angle.

Let the another angle be x. Then we have

x + 58° + 90° = 180°

x + 148° = 180°

x = 32°

More about the rhombus link is given below.

brainly.com/question/27870968

#SPJ1

8 0

1 year ago

Read 2 more answers

I need help ASAP please

grin007 [14]

Answer:

4th one is correct

Step-by-step explanation:

4 0

2 years ago