The approximate height, h, in metres, travelled by golf balls hit with two different clubs over a horizontal distance of d metres is given by the following functions:
• seven-iron: h= -0.002d^2 + 0.03d
-nine-iron: h= -0.004d^2 + 0.05d
a. At what distances is the ball at the same height when either of the clubs is used?
b. What is this height?

Answer:

(233.8436 ; 271.0564)

Yes

Step-by-step explanation:

Given :

Sample mean, xbar = 252.45

Sample standard deviation, s = 74.50

Sample size, n = 64

α = 0.05

The confidence interval :

Mean ± margin of error

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval :

252.45 ± 18.6064

(233.8436 ; 271.0564)

Comparing the confidence interval value and the mean value reported by the American Automobile Association ;it can be concluded that the mean reported by the American Automobile Association differ from the mean spent at Niagara Fall as 215.60 falls below the confidence interval.

The confidence interval  is (233.8436 ; 271.0564).

We have given that the,

Sample mean, x bar = 252.45

Sample standard deviation, s = 74.50

Sample size, n = 64

α = 0.05

The confidance interval is Mean ± margin of error.

[tex]Margin of Error = t\alpha /2 \times s/\sqrt{n}[/tex]

[tex]df = n - 1 \\df= 64 - 1 \\df= 63[/tex]

[tex]t(\alpha/2, df = 63) = 1.998[/tex]

[tex]Margin of Error = 1.998 \times 74.50/\sqrt64[/tex]

Margin of Error = 18.6064

The confidence interval  is given by,

252.45 ± 18.6064

Therefore we get the confidence interval  is (233.8436 ; 271.0564)

Comparing the confidence interval value and the mean value reported by the American Automobile Association ;it can be concluded that the mean reported by the American Automobile Association differ from the mean spent at Niagara Fall as 215.60 falls below the confidence interval.

To learn more about the confidence interval visit:

https://brainly.com/question/15712887

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:

[tex]tan26=\frac{h}{123}[/tex] and

123tan(26) = h so

h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is

60.0 + 5.3 = 65.3 feet.

Answer:

1000 I think I Amy be wrong

Answer:

If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.

Step-by-step explanation:

Mathematical Proof :

For proof, we should test it out.

To find the total amount of marbles, we add up all the different colors in the bag.

5 + 5 + 5 + 5 = 20

Drawing 2 blue marbles while replacing the first probability :

The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :

5/20 * 5/20 = 25/400 = 1/16

Drawing 2 blue marbles while NOT replacing the first probability :

The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.

So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.

Written Statement :

If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

Solution given

Sin Q=opposite/hypotenuse=28/29

28/29 is. a required answer.

Answer:

$40 million

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Current value = 125%

which means that current value is 25% more than its initial value.

Let Initial Value = X

So, Increase in investment value = 25% × X  =  0.25X

Given, increase value = $10million

So, 0.25X = $10 million

= X = $10million

= X = $10million ÷ 0.25

= X = $40 million

Hence the initial value of investment is $40million.

Answer:1 out of 9

Step-by-step explanation:

There are 2 different types of bread, 2 different types of meat, and 3 different types of cheese. There are several different choices.

OC = 3 in

Refer to the attachment for complete explaination

Answer:

PLZ HELP

Step-by-step explanation:

Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2

y = −0.75x + 9.5

y = 1.33x + 1.66

x = 8

Answer:-

The answer is [tex] \sf \huge \underline \red{No}[/tex] , Because If it's a regular polygon, then the sum of it's exterior angles is add up to 360°.

Answer:

[tex] \sin( \alpha ) = \frac{4}{5} [/tex]

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

[tex]hyp = \sqrt{25} [/tex]

hyp = 5 units

[tex] \sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5} [/tex]

Step-by-step explanation:

hope this will help you alot

if this really help you please votee or mark me as brinalist.

Thankyou

Answer:

D

-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)

Answer:

1500 ft^3

Step-by-step explaxition

To find the volume of rectangular prism the formual is L*W*H. So you do 5 times 10 times 30 to get 1500 ft^3

Answer:

(3,2)

Step-by-step explanation:

Y=-2x+8 equation 1

y=x-1 equation 2

x-1=-2x+8 substi y of second equation into y of first equation.

3x=9

x=3

solve for y by putting the  x value into either equation

y=x-1

y=3-1

y=2

Answer:

2267.97 grams

Step-by-step explanation:

i hope this helps!

Answer:

2α^2+15α+21

Step-by-step explanation:

(5α+α²-14) + (10α +α²+ 35)

Combine like terms

α^2+α^2+5α+10α-14+35

2α^2+15α+21

Answer:

2a² + 15a + 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(5a + a² - 14) + (10a + a² + 35)

Step 2: Simplify

Answer:

Shaquille Rashaun O'Neal is an American former professional basketball player who is a sports analyst on the television program Inside the NBA. O'Neal is regarded as one of the greatest basketball players and centers of all time.

Step-by-step explanation:

have a nice summer!

Answer:

C

my answer is the image above

Answer:

I'm very late, but I still like to add these to help other people the answer will be 279,936

Step-by-step explanation:

Example: 6 x 6 = 36 x 6 = 216 x 6 = 1,296 x 6 = 7,776 x 6 = 46,656 x 6 = 279,936

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

[tex] \sqrt{ {a}^{2} + {b}^{2} } \: \: units[/tex]

Step-by-step explanation:

Using distance formula

[tex] \sqrt{ {(0 - b}^{2} + {(b - 0)}^{2} } \\ = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

Answer:

57.91°

Step-by-step explanation:

see pic

Using Law of Cosines

lower case letters are sides. Uppercase letter is angle.

Answer:

A.

[tex] - 1 \frac{1}{3} [/tex]