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3 years ago

Find the approximate height of the flagpole.

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

B the answer is 60 feet

DochEvi [55]3 years ago

7 0

Tan(40)=Height÷50

Height
=50(tan(40))
=42 feet (to nearest whole number)

Hence answer is C

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In a survey, of the voters support a particular referendum. If 40 voters are chosen at random, find the mean and variance for th

Katyanochek1 [597]

This question is incomplete, the complete question is;

In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,

find the mean and variance for the number of voters who support the referendum.

Answer:

a) The Mean is 22

b) Variance is 9.9

Step-by-step explanation:

Given that;

55% of the voters support a particular referendum p = 0.55

q = 1 - p = 1 - 0.55 = 0.45

sample size n = 40

Mean = sample size n × p

Mean = 40 × 0.55

Mean = 22

Therefore the Mean is 22

Variance = n × p × q

so we substitute

Variance = 40 × 0.55 × 0.45

Variance = 9.9

Therefore the Variance is 9.9

3 0

3 years ago

The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.03x2 + 1.53x, where x is the horizont

netineya [11]

This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
$x=\frac{-1.53}{2*-.03}=25.5$

Plugging this into the given formula:
$y=-0.03(25.5)^2+1.53(25.5)=19.5075$
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
$0=-0.03x^2+1.53x=x(-0.03x+1.53)$

Then by the zero product property (or the no zero divisors rule), we have:
$x=0$ (this is the x value where the ball is kicked from)
$-0.03x+1.53=0$
$-0.03x=-1.53$
$x=51$

So the ball travels 51 yards in total.

4 0

3 years ago

Read 2 more answers

How do I work this out and explain how

Sav [38]

80* 4/5

Cross out 80 and 5

You can divide by 5 for both of the numbers

80/5=16

5/5=1

16*4= 64

Answer is 64

4 0

3 years ago

A book agent charges 15% to represent an author. If the agent earns $4.5 thousand from a book deal, how much does the author ear

netineya [11]

Answer: $25,500

Step-by-step explanation:

15/100 = 4500/x , we use this proportion to find out how much the entore book deal was. When you multiply 4500 x 100 and divide by 15, it gives you an answer of 30,000. 30,000 is the value of the book deal. The agent gets 15% but the entire deal would be worth 100%. We subtract 15% from 100% to get 85%. 85% is what the author will receive. 85% of 30,000 is $25,500. We find the answer by multiplying 30,000 by 0.15. 0.15 is the decimal equivalent of 15.

7 0

3 years ago

What is the average of two opposite numbers?

Kryger [21]

Answer:

Step-by-step explanation:

So lets imagine x as our number

Let's make an equation:

$Average=\frac{x-x}{2} \\Average=\frac{o}{2} \\Average=0$

So, This would mean that the average of two opposite numbers is always 0

Hope this helps!

Stay Safe!

8 0

3 years ago