A study was conducted in order to compare

Answer:

350.62 feet

Step-by-step explanation:

Answer:

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

Step-by-step explanation:

We assume that goose is flying at constant velocity. After reading carefully the statement of the problem, we create the following geometrical diagram, which is included at the end of this explanation and represents the following Pythagorean identity:

[tex]x^{2}+y^{2} = r^{2}[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Horizontal distance of the goose from pond, measured in feet.

[tex]y[/tex] - Vertical distance of the goose from pond, measured in feet.

[tex]r[/tex] - Resultant distance of the goose from pond, measured in feet.

We find the rate of change in time at which resultant distance is increasing by differentiating on (Eq. 1):

[tex]2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y = 2\cdot r \cdot \dot r[/tex]

[tex]x\cdot \dot x + y\cdot \dot y = r\cdot \dot r[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (Eq. 2)

Where:

[tex]\dot x[/tex] - Rate of change of horizontal distance, measured in feet per second.

[tex]\dot y[/tex] - Rate of change of vertical distance, measured in feet per second.

[tex]\dot r[/tex] - Rate of change of resulting distance, measured in feet per second.

If we know that [tex]x = 500\,ft[/tex], [tex]y = 300\,ft[/tex], [tex]\dot x = 50\,\frac{ft}{s}[/tex] and [tex]\dot y = 0\,\frac{ft}{s}[/tex], the rate at which the distance from the goose to the pond is increasing is:

[tex]\dot r = \frac{(500\,ft)\cdot \left(50\,\frac{ft}{s}\right)+(300\,ft)\cdot \left(0\,\frac{ft}{s} \right) }{\sqrt{(500\,ft)^{2}+(300\,ft)^{2}}}[/tex]

[tex]\dot r \approx 42.875\,\frac{ft}{s}[/tex]

The rate at which the distance from the goose to the pond is increasing is approximately 42.875 feet per second.

answer is 3.5903 or 3 kg 5903 gram

Answer:

Option (A)

Step-by-step explanation:

From the given triangle in the picture,

∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).

m∠y + 81° = 180°

m∠y  = 180° - 81°

        = 99°

By the property of a triangle,

x° + y° + 47° = 180°

x° + y° = 180° - 47°

x° + y° = 133°

For y = 99°

x° + 99° = 133°

x° = 133° - 99°

   = 34°

Similarly, z° + 58° + 81° = 180°

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

Therefore, Option (A) will be the correct option.

Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:

Recall:

Thus:

y° + 81° = 180° (angles on a straight line)

y° = 180° - 81°

y° = 99°

x° +  y° + 47° = 180° (sum of triangle)

x° + 99° + 47° = 180°

x° + 146° = 180°

x° = 180° - 146°

x° = 34°

z° + 81° + 58° = 180° (sum of triangle)

z° + 139° = 180°

z° = 180° - 139°

z° = 41°

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Answer:

72.1 degrees... 72 point 1 degress in case you cant see the ( . )

Step-by-step explanation:

62.4 minus -9.7= is 72.1

Answer:

(-4,-1)

Step-by-step explanation:

Answer: 1 student scored above an 85%.

Step-by-step explanation:

Let X = percentage score in test (normally distributed).

Given: Sample size = 15 , mean score : [tex]\mu[/tex]= 74.8% = 0.748 ,standard deviation :  [tex]\sigma=7.57[/tex]

Now, The probability that student scores above 85%:

[tex]P(X>85)=P(\dfrac{X-\mu}{\sigma}>\dfrac{85-74.8}{7.57})\\\\=P(Z>1.347)\\\\=1-P(Z<1.347)\\\\=1-0.9110= 0.089[/tex]

Probability that student scores above 85% = 0.089

Number of students scored above an 85% = 0.089 x 15 = 1.335 ≈ 1

hence, 1 student scored above an 85%.

Answer:

4

Step-by-step explanation:

Answer:

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Step-by-step explanation:

Suma de fracciones

Vamos a sumar:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}[/tex]

Debemos encontrar el mínimo común múltiplo (MCM) entre los denominadores, en este caso, 7 y 8.

Descomponemos en factores primos:

7=7

8=2*2*2

Se toman los comunes y no comunes con máximo exponente, así que el MCM es 7*8=56.

Se procede a dividir el MCM entre cada denominador y al multiplicarlo por su numerador correspondiente:

[tex]\displaystyle \frac{3}{8}+\frac{1}{7}=\frac{3*7+1*8}{56}=\frac{29}{56}[/tex]

El resultado es:

[tex]\displaystyle \frac{29}{56}[/tex]

Answer:

[tex]1/3 (p+5) [/tex]

Step-by-step explanation:

[tex]1/3 p + 15 = \frac{1}{3} p + 15 = \\ \frac{p + 5}{3} = \frac{1}{3} ( p+ 5)[/tex]

♨Rage♨

Answer:

do you have the graph?

Step-by-step explanation:

Answer: i won't tell you the answer but i will break it up for you so i can make easier for you

Step-by-step explanation: (-5x^2) (y^c) x (x^5) (2y^3)(5x^7)(y^6)(2)  Or for the ones for  numerator and denominator you can do this

(x^5)

____     =    ( -5x^7)

                   ______

                   (2)

(2y^3)

So for the one with numerator and denominator i got a stuck on a little but i tried doing this way if you like this way i can keep it like this if you dont i can change it

Answer:

C.20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

Answer:

x = 18.5

Step-by-step explanation:

If you do the butterfly method, you should get 2x-1 = 36

2x = 37

x = 18.5

Answer:

I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30

Step-by-step explanation:

Answer:

y= 1/3x + 1.

Step-by-step explanation:

Answer:

yes it does

Step-by-step explanation:

the x numbers do not repeat

Yes, the given relation is function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}

As, we know that the function has one input with corresponding one output.

So, we can see from the ordered pair that no input value have repeated and have respective output.

Hence, the relation is function.

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Answer:

68.6433≤x≤82.3568

Explanation

confidence interval formula is expressed as

CI = xbar ± z × S/√n

xbar is the mean

z is the z score at 90% = 1.645

s is the Standard deviation

N is the sample size = 5

xbar = 60+75+80+70+ 90/5

xbar = 375/5

xbar = 75

Get standard deviation

SD =√\sum(x-xbar)²/N

SD = √(60-75)²+(75-75)²+(80-75)²+(70-75)²+(90-75)²/5

SD = √15²+0²+5²+5²+15²/5

SD = √225+50+225/5

SD = √500/5

SD =√100

SD = 10

Substitute the derived values into the formula

CI = 75±1.645 × 10/√5

CI = 75 ± (1.645×4.4721)

CI = 75±7.3568

CI = (75-7.3568, 75+7.3568)

CI = (67.6433, 82.3568)

Hence the 90% confidence interval of the student is:

68.6433≤x≤82.3568

Answer:

A bed is a type of object a person uses to sleep on. It usually contains blankets and pillows

Step-by-step explanation:

Can i have brainliest?

Answer:

[tex]\frac{3}{2} \textrm{ cups of flour}[/tex]

Step-by-step explanation:

the ratio of cups of flour per 1 cup of water:

[tex]\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}[/tex]

1. 157.5108.35

2. 108.35

3. 494.46

4. 233.7

5. 342.16

Step-by-step explanation:

Answer:  (number 1 is the popular vote) (number 2 is whoever wins the state gets all the electoral votes) (number 3 is electors cast the official vote) (and finally at number 4 the first candidate to 270 wins the election)

Answer:

x=21

Step-by-step explanation:

(3+2x)/(x+9)=3/2

(x+9)(3+2x)=(3/2)(x+9)

3+2x=(3x+27)/2

2(3+2x)=3x+27

6+4x=3x+27

x=21

Answer: 30:18 or 30 to 18

Step-by-step explanation:

Answer:

the simplest form of 1/9 is: 1/9

Step-by-step explanation:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 1 and 9.

2. The numerator must be greater than the denominator, an improper fraction, so it can be converted to a mixed number. 1 is not greater than 9.

Answer:

1-5

3-7

8-4

2-6

6-3

3-7

Step-by-step explanation:

Answer: 0.254

Step-by-step explanation:

Given that:

Number of cars = number of trials (n) = 8

Number that will be stopped by a red light = Numbe rof successes (r) = 3

Probability of success :

Red light = 15 seconds ; yellow = 5 seconds ; green = 30 seconds

P(red) = p(success) = p = 15 / (15 + 5 + 30) = 15/50 = 3 /10 = 0.3

1 - p = 1 - 3/10 = 7/10 = 0.7

Using the binomial probability relation:

p(exactly 3):

P(8, 3) = 8C3 * p^3 * (1-p)^(8-3)

P(8, 3) = 8C3 * p^3 * (1-p)^5

P(8, 3) = 56 * 0.3^3 * 0.7^5

= 0.25412

= 0.254