The average score of all golfers for a particular course has a mean of 65 and a standard deviation of 4.5 . Suppose 81 golfers played the course today. Find the probability that the average score of the golfers exceeded 66 . Round to four decimal places.

both angles are 90 degrees

Answer:

It's 0

Edge said it's 0

The value of the ratio of the cos(x) and the sin(x) is 0.

Trigonometric ratios are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. These ratios are fundamental in trigonometry and have applications in various fields, such as physics, engineering, and navigation.

Trigonometry is a branch of mathematics that deals with the relationships and properties of angles and triangles. It explores the ratios between the sides of a triangle and the angles within that triangle. The word "trigonometry" is derived from two Greek words: "trigonal," meaning "triangle," and "metron," meaning "measure."

The value of the sin(x) is 1. The value of cos(x) is 0.

The formula for the cot(x) is written below:

cot(x) = cos(x) / sin(x)

cot(x) = 0 / 1

cot(x) = 0

To know more about trigonometry follow

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Answer:

[tex]9 \times 2 = 18 \: \: \\ 4 \times 5 = 20 \\ 20 + 18 = 38 \\ 38 {in}^{2} [/tex]

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9514 1404 393

Answer:

Step-by-step explanation:

The linear speed 12 mi/h translates to inches per minute as follows:

  (12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min

The relationship between arc length and angle is ...

  s = rθ

For a constant radius, the relationship between linear speed and angular speed is ...

  s' = rθ'

  θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min

There are 2π radians in one revolution, so this is ...

  (1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min

Answer:

It's too short. Write at least 20 characters to explain it well.

Answer:

More nurses with a baccalaureate degree is estimated to pass the exam but this was not a significant difference.

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.

Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:

y = 4x + 7.75

Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.

Answer:

(a) 218.6 N

(b) 97.14 N

Step-by-step explanation:

When the system is in equilibrium, the net torque on the system is zero.

AC = 1.5 m, CD = 2.3 m, DB = 5 - 1.5 - 2.3 = 1.2 m

Let the centre of gravity of plank is at G.

AG = 2.5 m, CG = 2.5 - 1.5 = 1 m, GB = 2.5 m

(a) Let the reaction at C is R and at D is R'.

R + R' = 29 x 9.8 = 284.2 N ... (1)

Take the torque about C.

29 x 9.8 x CG = R' x GD

29 x 9.8 x 1 = R' x 1.3

R' = 218.6 N

(b) Take the torque about D.

6 x 9.8 x AD = R x CD

6 x 9.8 x (1.5 + 2.3) = R x 2.3

R = 97.14 N

Answer:

Option (a)

Step-by-step explanation:

[tex]\sqrt[6]{1000m^{3} n^{12} } = \sqrt[6]{10^{3} } \sqrt[6]{m^{3} } \sqrt[6]{n^{12} } =\\\sqrt{10} \sqrt{m} n^{2} = n^{2} \sqrt{10m}[/tex]

A circle has an equation of a form,

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Where [tex](a, b)[/tex] is the center and [tex]r[/tex] is the radius.

The coordinates of your circle center are [tex](a,b)=(-9,9)[/tex] and the radius is [tex]r=\sqrt{98}[/tex], so plug that in,

[tex](x-(-9))^2+(y-9)^2=\sqrt{98}^2[/tex]

and simplify to get the equation,

[tex](x+9)^2+(y-9)^2=98[/tex]

Hope this helps :)

Answer:

Where is the rest?

Step-by-step explanation:

%7"7:7;9

Answer:

I think its 2 hours 30 minutes

Step-by-step explanation:

Answer:

3cx - 2c + 21x - 14

Step-by-step explanation:

( c + 7 ) ( 3x - 2 )

= c ( 3x - 2 ) + 7 ( 3x - 2 )

= c ( 3x ) - c ( 2 ) + 7 ( 3x ) - 7 ( 2 )

= 3cx - 2c + 21x - 14

Answer:

3cx-2c+21x-14

Step-by-step explanation:

try to expand it by multiplying everything in the first brackets by every thing in the second brackets.

c(3x-2)+7(3x-2)

3cx-2c+21x-14

I hope this helps

Answer:

a) 22.4 pounds.

b) 0.17 pounds.

c) 0.0127 = 1.27% approximate probability the sample mean weight will be less than 22.02.

d) c = 22.62

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average 22.4 pounds with a standard deviation of 1.36 pounds.

This means that [tex]\mu = 22.4, \sigma = 1.36[/tex]

Consider the sample mean weight of 64 watermelons of this variety.

This means that [tex]n = 64, s = \frac{1.36}{\sqrt{64}} = 0.17[/tex]

a. What is the expected value of the sample mean weight?

By the Central Limit Theorem, 22.4 pounds.

b. What is the standard deviation of the sample mean weight?

By the Central Limit Theorem, 0.17 pounds.

c. What is the approximate probability the sample mean weight will be less than 22.02?

This is the p-value of Z when X = 22.02. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{22.02 - 22.4}{0.17}[/tex]

[tex]Z = -2.235[/tex]

[tex]Z = -2.235[/tex] has a p-value of 0.0127.

0.0127 = 1.27% approximate probability the sample mean weight will be less than 22.02.

d. What is the value c such that the approximate probability the sample mean will be less than c is 0.9?

This is the 90th percentile, that is, [tex]X = c[/tex] when z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.28 = \frac{c - 22.4}{0.17}[/tex]

[tex]c - 22.4 = 1.28*0.17[/tex]

[tex]c = 22.62[/tex]

Answer:

7.6

Step-by-step explanation:

Mean = (sum of numbers)/amount of numbers

11 + 4 + 6 + 7 + 5 +10 +9 + 21 + 3 + 0 = 76

76/10 = 7.6

Answer:

p=-7

Step-by-step explanation:

5p=-35

Divide both sides by 5

5p/5 =-35/5

therefore p=-7

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{5p= -35}\\\\\underline{\huge\text{DIVIDE 5 BOTH SIDES}}\\\\\mathsf{\dfrac{5p}{5p}= \dfrac{-35}{5}}\\\\\large\text{CANCEL out: }\dfrac{5}{5}\large\text{ because that gives you 1}\\\large\text{KEEP: }\dfrac{-35}{5}\large\text{ because that gives you the value of p.}\\\\\large\textsf{p = }\mathsf{\dfrac{-35}{5}}\\\\\mathsf{-35\div5= p}\\\\\large\text{Simplify above and you have your result to the p-value.}\\\\\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{p = -7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Answer:

D. x = -2y + 4

Step-by-step explanation:

4x + 8y = 16

Solve for x

Our objective here is to isolate x ( in other words we want to get x by itself ) using inverse operations.

So let's begin

4x + 8y = 16

First we want to get rid of 8y

Notice how 8y is being added to 4x

Well we can get rid of it by applying it's inverse operation. The opposite of addition is subtraction. So to get rid of 8y we would simply subtract 8y.

Important note! Whatever we do to one side we must do to the other

So we would subtract 8y from both sides

4x + 8y - 8y = 16 - 8y

The 8y on the left hand side cancels out and the 8y on the right side stays as it is as you can't subtract 8y from 16

We then have 4x = 16 - 8y

Next we want to get rid of 4 from 4x.

4x is the same as 4*x which is multiplication

The inverse of multiplication is division so to get rid of the 4 we divide both sides by 4

4x/4 = (16-8y)/4

4x/4 = x

16-8y/4 ( simply divide 16 by 4 and -8y by 4 )

16-8y/4 = 4 - 2y

We're left with x = 4 - 2y which can also be written as x = -2y + 4

Answer:

Step-by-skfmckfmkfkfkfkfkkfkfkfkfkfkfoftep explanation:

Cl

Answer:

Step-by-step explanation:

slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4

eq. of line is y-0=3/4(x-0)

y=3/4 x

put x=4

y=2

2=3/4×4

2=3

which is true if 2<3

2<3

so y<3/4 x

Answer:

1

Step-by-step explanation:

Given,

h ( x ) = - x + 1

To find : h ( 0 ) = ?

h ( 0 )

= - ( 0 ) + 1

= 1

Answer: 1

Step-by-step explanation:

h(x) = -x + 1

To Find = h(0)

= -(0) + 1

= 1

Answered by GauthMath if you like pls heart it and comment thanks

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You're looking for a number w such that the numbers

{1 + w, 7 + w, 15 + w}

form a geometric sequence, which in turn means there is a constant r for which

7 + w = r (1 + w)

15 + w = r (7 + w)

Solving for r, we get

r = (7 + w) / (1 + w) = (15 + w) / (7 + w)

Solve this for w :

(7 + w)² = (15 + w) (1 + w)

49 + 14w + w ² = 15 + 16w + w ²

2w = 34

w = 17

Then the three terms in the sequence are

{18, 24, 32}

and indeed we have 24/18 = 4/3 and 32/24 = 4/3.

Answer:

The relation is linear

Step-by-step explanation:

Answer:

Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.

Step-by-step explanation:

This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept

To find m:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{(-2)-(-7)}{(-9)-(-5)}[/tex]

m=[tex]\frac{5}{-4}[/tex]

m=[tex]-\frac{5}{4}[/tex]=-1.25

To find b, you can use any of the given points:

(-9,-2)

(-2)=-1.25(-9)+b

-2=11.25+b

-2-11.25=b

b=-13.25

Therefore, using the calculated values for m and b:

y=mx+b

y=-1.25x-13.25

Answer:

They will blink together at 24minutes

Step-by-step explanation:

Using product of primes

4 = 2²

6 = 2 × 3

8 = 2³

Prime numbers with highest power

2³ × 3

8 x 3

24 minutes.

Answer:

z=9

Step-by-step explanation:

z-5=4. /+5

z=4+5

z=9

Answer:

z<-1

Step-by-step explanation:

5<z=4

collect like terms

z=<4-5

z<-1

9514 1404 393

Answer:

  (x +3) -14

Step-by-step explanation:

The total of a number and 3 will be represented by (x +3). Fourteen less than that is ...

  (x +3) -14  or  -14 +(x +3)

Answer:

95

Step-by-step explanation:

Use the mean formula: mean = sum of elements / number of elements

Plug in the mean and number of elements, then solve for the sum of the numbers:

mean = sum of elements / number of elements

19 = sum of elements / 5

95 = sum of elements

So, the sum of the numbers is 95.

Answer:

the lower limit is 35% women believed and 65% of men believed in serial discrimination