If the average ago of retirement for a random sample of 87 retired persons is 66 years with a standard deviation of 2 years.a. b. c. d.e.f.g. Find the probability of finding a random sample of 87 retired people in which the average age of retirement is 66.5 or more. Find all values to 3 decimal places.

Answer:

Hi there!

The correct answer is C.

Step-by-step explanation:

A polynomial identity  are equations that are true for all possible values of the variable. For example, x²+2x+1=(x+1)² is an identity.

Answer:

75.36unit^2

Step-by-step explanation:

Looking at the expression in the question, it is synonymous to the

equation for the circumference of a circle

π×d =3.14×24=75.36unit^2

Answer:

166320 ways

Step-by-step explanation:

In this case we must calculate the number of combinations for each option, and then multiply the result of each one, like this:

Number of ways you can choose 3 vegetables out of 9 available:

nCr = n! / (r! * (n-r)!)

in this case n = 9, r = 3, replacing:

9C3 = 9! / (3! * (9-3)!) = 84

Number of ways you can choose 2 fruits out of 9 available:

9C2 = 9! / (2! * (9-2)!) = 36

Number of ways you can choose 2 whole grains out of 11 available:

11C2 = 11! / (2! * (11-2)!) = 55

So according to the rule of the products how many ways you can choose the daily diet

84*36*55 = 166320

Answer:

Acute

Step-by-step explanation:

No angle is bigger than 90 degrees.

Answer:

All angles are less than 90 degrees.

Obtuse = more than 90 degrees

Right = 90 degrees

Hope this helps

Answer:

C. 4√5i

Step-by-step explanation:

on edge

please vote brainliest i have never gotten it before

Answer:

5

Step-by-step explanation:

i took the test

The transitive property states AB = 4.

The transitive property of equality states that the first number is also equal to the third number if two numbers are equal and the second number is equal to the third number. In other words, if a is equal to b and b is equal to c, then a is equal to c. One of the many mathematical properties of equality is the transitive property.

Given AB = x and x = 4

Acc. to transitive property,

if a = b, b = c Then c = a.

so AB = 4

Hence option D is correct, AB = 4.

Learn more about transitive property;

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Answer:

x = (rs + t)/(r-s)

Step-by-step explanation:

r(x - s) = sx + t

rx - rs = sx + t

rx - sx = rs + t

x(r - s) = rs + t

x = (rs + t)/(r-s)

The solution for x is x = (t + rs)/(r - s).

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

We can begin by simplifying the given equation:

First, solve the parenthesis,

r(x - s) = sx + t

Simplify, the equation, we get,

rx - rs = sx + t

rx - sx = t + rs

Take the like terms to one side, we get,

x(r - s) = t + rs

Now, solve for x, we get,

x = (t + rs)/(r - s)

Therefore, x is equal to (t + rs)/(r - s).

To learn more about the equation;

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Answer:

11.90% probability that the mean profit for the sample was between 0 million and 5.1 million

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 normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this question, we have that:

[tex]\mu = 6.54, \sigma = 10.45, n = 73, s = \frac{10.45}{\sqrt{73}} = 1.2231[/tex]

In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between 0 million and 5.1 million?

This is the pvalue of Z when X = 5.1 subtracted by the pvalue of Z when X = 0. So

X = 5.1

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

By the Central Limit Theorem

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

[tex]Z = \frac{5.1 - 6.54}{1.2231}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

X = 0

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

[tex]Z = \frac{0 - 6.54}{1.2231}[/tex]

[tex]Z = -5.35[/tex]

[tex]Z = -5.35[/tex] has a pvalue of 0

0.1190 - 0 = 0.1190

11.90% probability that the mean profit for the sample was between 0 million and 5.1 million

Answer:

1. all real numbers less than or equal to 4 = </= 4.

Answer = YES!

2. all real numbers less than or equal to -3 = </= -3.

Answer = YES!

3. all real numbers greater than or equal to 4 = >/= 4

Answer = YES!

4. all real numbers greater than or equal to -3 = >/= -3

Answer = NO!

Step-by-step explanation:

1. all real numbers less than or equal to 4 = </= 4.

1 + 1 = 2

1 + 2 = 3

2 + 2 = 4

2. all real numbers less than or equal to -3 = </= -3.

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

3. all real numbers greater than or equal to 4

1 + 1 = 2

1 + 2 = 3

1 + 3 = 4

1 + 4 = 5

4. all real numbers greater than or equal to -3

1 - 1 = 0

1 - 2 = -1

1 - 3 = -2

1 - 4 = -3

Answer:

The range is all real numbers less than or equal to 4

Step-by-step explanation:

took the test on edge

Correct question:

An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).

Answer:

The probability that A selects the red ball is 58.33 %

Step-by-step explanation:

A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th

1st selection: 9C2

3rd selection: 7C2

5th selection: 5C2

7th selection: 3C2

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

sum of all the possible events = 36 + 21 + 10 + 3 = 70

Total possible outcome of selecting the red ball = 10C3

10C3 = (10!) / (7!3!)

         = 120

The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.

P( A selects the red ball) = 70 / 120

                                         = 0.5833

                                         = 58.33 %

Answer:

Its absolutely cone , it has one triangle face seen from front , and a circular base

Answer:

Rectangular pyramid had a triangular face .

Answer:

0.2 Inches

Step-by-step explanation:

Given the height of the saw tooth represented by the function

[tex]y = 0.4sin (15x + 1.5) - 0.2$ for $t > 0.[/tex]

Comparing with the general form of a trigonometric equation

[tex]y = A sin(B(x + C)) + D[/tex]

Where:

Amplitude, A=0.4

Vertical Shift (Midline),D = - 0.2

The maximum and minimum height of the sinusoidal function is given by:

[Min, Max]=[D-A, D+A]

=[-0.2-0.4, -0.2+0.4]

=[-0.6,0,2]

The maximum height that the sawtooth reaches is 0.2 inches.

Answer:

f(t) =, for>0

-148)=, for 1>0

0 1- 100)=,for>0

of +13)

-25,for1>0

0-5-10

-252, for r>0.

Answer:

900 cents, 9 dollars

Step-by-step explanation:

72+72+36= 144+36= 180

Answer:

Area of the figure = 176 m²

Step-by-step explanation:

Area of Rectangle = Length × Width

Dividing the whole figure

Rectangle 1:

6 × 18 = 108 m²

Rectangle 2 :

10 × 6 = 60 m²

Rectangle 3:

2 × 4 = 8 m²

Adding All

Area of the figure = 108 + 60 + 8

Area of the figure = 176 m²

Answer:

30,000

Step-by-step explanation:

We know that divide the percentage by 100. After that you get the decimal thing then all you do is multiply the number and you get your answer that is  30,000.

Answer: 30,000

Please mark brainliest

Hope this helps.

Step-by-step explanation:

I think the first number should be 16

Then these numbers are divisible by 4

Answer:

-4/2

Step-by-step explanation:

just take 4 and divide it by -2 and youll get the common ratio as-2

Hope it helps

Answer:

d. 54

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

y=(180º-72º)/2

y=108º/2

y=54º

D.

Answer:

domain: (-∞,∞)

range [-3,∞)

Step-by-step explanation:

The domain is the values that x can take

X can be any value so the domain is all real numbers

The range is the values that y can take

The minimum value is -3

The range is y ≥ -3

Answer:

90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

Step-by-step explanation:

We are given that you measure 50 textbooks' weights, and find they have a mean weight of 37 ounces.

Assume the population standard deviation is 5.2 ounces.

Firstly, the Pivotal quantity for 90% confidence interval for the population mean is given by;

                           P.Q. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean weight = 37 ounces

           [tex]\sigma[/tex] = population standard deviation = 5.2 ounces

           n = sample of textbooks = 50

           [tex]\mu[/tex] = true population mean textbook weight

Here for constructing 90% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 90% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5%

                                            level of significance are -1.645 & 1.645}  

P(-1.645 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.645) = 0.90

P( [tex]-1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.90

P( [tex]\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.90

90% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                          = [ [tex]37-1.645 \times {\frac{5.2}{\sqrt{50} } }[/tex] , [tex]37+1.645 \times {\frac{5.2}{\sqrt{50} } }[/tex] ]

                                          = [35.79 , 38.21]

Therefore, 90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

Answer:

153

Step-by-step explanation:

Answer:

y=-2 or y=3

Step-by-step explanation:

Y^2-y-6=0

y^2-3y+2y-6=0

y(y-3)+2(y-3)=0

(y+2)(y-3)=0

y=-2 or y=3

hope it helps

Answer:

amount of fabric to make the bag = 4 yards

Step-by-step explanation:

Tara has 1 3/5 yards of fabric . She needs extra 2 1/2 times the amount she have to make a shopping bag. The amount of fabric she needs to make the bag can be calculated as follows.

1 3/5 yards = 8/5 yards of fabrics

What she actually needs to make a shopping bag is two and half the amount she has . Mathematically, it can be express

2 1/2 × 8/5

Let us change 2 1/2 to improper fraction

amount of fabric to make the bag = 5/2 × 8/5

amount of fabric to make the bag = 40/10

amount of fabric to make the bag = 4 yards

Answer:

The answer is 4

Step-by-step explanation:

1.5(4+4)-3= 9

4.5(4-2)=9

9=9

Answer:

[tex]x=4[/tex]

Explanation:

[tex]1.5x+6+-3=4.5x+-9\\1.5x+3=4.5x-9\\-3x+3=-9\\-3x=-12\\x=4[/tex]

Answer:

$190,000

Step-by-step explanation:

discount = x

original price = $200,000

discount% = 5%

x/200,000 = 5/100

x · 100 = 5 · 200,000

100x = 1,000,000

100x/100 = 1,000,000/100

x = 10,000

Sale price: $200,000 - $10,000 = $190,000

Answer:

8.7

Step-by-step explanation:

distance formula

Answer:

\sqrt{68}

Step-by-step explanation:

Using the distance formula, you can find that the distance between these two points is:

[tex]\sqrt{(5-(-3))^2+(-2-(-4))^2}=\\\\\sqrt{(5+3)^2(-2+4)^2}=\\\\\sqrt{8^2+2^2}=\sqrt{64+4}=\\\\\boxed{\sqrt{68}}[/tex]

This is based on the Pythagorean Theorem, since you can imagine making a right triangle between these two points and the distance between them being the hypotenuse. Hope this helps!

Answer:

[tex]28[/tex], [tex]82[/tex]

Step-by-step explanation:

[tex]10 \times 3 -2=28\\28 \times 3 - 2 = 82[/tex]

Answer:

[tex]h \geq 2\frac{2}[3}[/tex]

Step-by-step explanation:

We solve the inequality similarly to how we would solve an equalitu.

[tex]6h - 5(h-1) \leq 7h - 11[/tex]

[tex]6h - 5h + 5 \leq 7h - 11[/tex]

[tex]h - 7h \leq -11 - 5/[/tex]

[tex]-6h \leq -16[/tex]

Multiplying everything by -1

[tex]6h \geq 16[/tex]

Simplifying by 2

[tex]3h \geq 8[/tex]

[tex]h \geq \frac{8}{3}[/tex]

8 divided by 3 is 2 with rest two. So as a improper fraction, the answer is:

[tex]h \geq 2\frac{2}[3}[/tex]

Answer:

[8,

3

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

45/72=5/8

(5/8)+x=72/72

x=1-(5/8)

x=3/8