A simple random sample of size n = 49 is obtained from a population with u = 89 and o = 21.
(a) Describe the sampling distribution of x.
(b) What is P (x > 94.55) ?
(c) What is P (XS 82.85) ?
(d) What is P (86.3 (a) Choose the correct description of the shape of the sampling distribution of x.
O A. The distribution is skewed right.
B. The distribution is approximately normal.
O C. The distribution is uniform.
D. The distribution is skewed left.
E. The shape of the distribution is unknown.

9514 1404 393

Answer:

  below

Step-by-step explanation:

When signed numbers are used to represent elevation with respect to sea level, positive signs are used for values above sea level, and negative signs are used for values below sea level. The given elevation of Death Valley indicates it is 282 feet below sea level.

Answer:

66600 ft

Step-by-step explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

Hope This Helps!

Answer:

30√74 ft or 258.070 ft rounded to three decimal places.

Step-by-step explanation:

To find the length of a diagonal, add the square of the width and the square of the length together and find the square root of the sum.

d = √210² + 150²

d = √44100 + 22500

d = √66600

d = 258.069758 ft (This is the answer I got in six decimal places. Rounding it to three, as it says in the question, would be 258.07 ft, as 7 is greater than 5 (the third digit was 9 by the way).)

An exact answer to that, in radical form, is 30√74 ft.

Answer:

C

Step-by-step explanation:

You start with 6 and add 7 every time

9514 1404 393

Answer:

  ∠N

Step-by-step explanation:

J is the first letter listed in the left side of the similarity statement. The corresponding angle is the first letter listed in the right side of the similarity statement: ∠N.

__

Corresponding angles are listed in the same order. The similarity statement means ...

  ∠J≅∠N

  ∠K≅∠O

  ∠L≅∠P

Answer:

<J = <N

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

Answer:

1/x-2/3=3/2x

-2/3=3/2x-1/x

-2/3=(3-2)/2x

-2/3=1/2x

by cross multiplication

-2(2x)=1(3)

-4x=3

x= -3/4

Step-by-step explanation:

I hope this will help

plz mark as brainliest

Answer:

v nnv vb n

Step-by-step explanation:

b ng chfxhc.jx.gc,fhxfgfdkhgvn gghcjfuoctykfd mmyegfiuegfypgerukf khergfuoegrfyurgfirge jgreuyofrgiregvoifgr riygfepiygfreu;k frugfyrfbhrevf rrgfbreuobghfre rgeuherhbgerui freurehuregh ruogysfhurgiugwhlerghre rgiuyrge97grukbgr ker ruipuhrgeugregariyarga ;rskfglfsglgsfuifgryrgljs kjger;ugiergs hope this was helpful good luck!

Answer:

7, 8, 9, 10, 11

Step-by-step explanation:

7+8+9+10+11

7 + 8 = 15

15 + 9 = 24

24 + 10 = 34

34 + 11 = 45

Answer:

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Step-by-step explanation:

What value is close to 28 that is a perfect cube...27 which equals 3^3.

So let's find the tangent line to the curve y=cubert(x) at x=27.

We will use this equation to approximate what happens at x=28.

First let's rewrite the radical in our equation;

y=x^(1/3)

Now differentiate

y'=(1/3) x^(1/3-1) by power rule

Simplify

y'=(1/3) x^(-2/3) or (1)/(3x^[2/3])

So the slope of our tangent line at x=27 is (1)/(3(27)^[2/3])=1/(3(3)^2)=1/(3×9)=1/27.

We will also need a point on this tangent line....We know we have the point at x=27 because that is what our tangent line to curve is being found at.

So at x=27, we have y=cubert(27)=3. We used our equation y=cubert(x) here.

So we want to find the equation of the line that contains point (27,3) and has slope 1/27.

Point-slope form is

y-y1=m(x-x1)

Plug in our values

y-3=(1/27)(x-27)

Add 3 on both sides

y=3+(1/27)(x-27)

We will use this linear equation to approximate cubert(28) by replacing x with 28.

y=3+(1/27)(28-27)

y=3+(1/27)(1)

y=3+1/27

You can write that as a mix fraction if you want.

This value is than 3 but super close to 3 since 1/27 is close to 0.

Mix fraction: 3 1/27

Improper fraction: 82/27

Decimal approximation: 3.037

Cubert of 28 when smashed into calculator as is gives approximately 3.0366 which is pretty close to our approximation.

Using a linear approximation method  f'(29)  ≈ 3.1465.

A linear approximation is an approximation of a general function using a linear function (specifically, an affine function). They are widely used in the finite difference method to establish first-order methods to solve or approximate the solutions of  equations.

Linear approximation, or linearization, is a method by which we can  approximate the value of a function at a certain point. The reason linear approximation is useful is that finding the value of a function at a particular point can be difficult. Square roots are a good example of this.

Linear approximated as:

f(x+Δx)≈f (x)+Δx x[tex]f^{'}[/tex](x)

Take x = 28 and Δx = 1

f(x) = [tex]\sqrt[3]{x}[/tex]

Substitute 28for x

f(x) = [tex]\sqrt[3]{28}[/tex]

f(x) = 3.0365

So, we have

f(x+Δx)≈f (x)+Δx x[tex]f^{'}[/tex](x)

f(28+1)≈3.0365+1.[tex]f^{'}[/tex](x)

f(29)≈3.0365+1.[tex]f^{'}[/tex](x)

To calculate f'(x)

We have

f(x)=[tex]\sqrt[3]{x}[/tex]

Rewrite as

f(x)= [tex]x^{\frac{1}{3} }[/tex]

Differentiate

[tex]f^{'}[/tex]= [tex]\frac{1}{3}[/tex][tex]X^{\frac{1}{3}-1 }[/tex]

f' = [tex]\frac{1}{3}[/tex] . [tex]\frac{x^{\frac{1}{3} } }{3x}[/tex]

f'(29) = [tex]\frac{29^{\frac{1}{3} } }{3\times29}[/tex]

f'(29) =9.66/87

f'(29)  = 3.22/29

f'(29)  ≈ 3.0365+1x 3.22/29

f'(29)  ≈3.0365+ 0.1110

f'(29)  ≈ 3.1465

To learn more about differential  equation, refer;

https://brainly.com/question/14620493

#SPJ2

Answer:

Pertaining to the mathematical expression conveyed, the answer to such proposed interrogate is acknowledged as the following:

Degree: 2nd degree term.

Classification: Quadratic trionomial.

Step-by-step explanation:

Evaluating the Degree:

The degree is acknowledged as the predominating term adjacent to a base of a peculiar value that denotes the particular allocation within a polynomial.

4x^2 has the highest degree of 2.

32x has the degree of one, being that x individually is x^1.

Since polynomials are defined by the term in which obtains the greatest degree, ^2 is referred to as quadratic, whereas ^3 is cubic, ^4…

Classification Evaluation:

Such could be determined by evaluating for the quantity of terms present within the mathematical expression or statement.

4x^2 is the first term.

32x is the second term.

63 is the third term (considered a constant).

Thus, the correct answer is a quadratic trinomial.

*I hope this helps.

Answer:

yes it represents the graph accurately

Step-by-step explanation:

[tex] \frac{ \frac{6}{7} }{ \frac{9}{14} } [/tex]

[tex] = \frac{6}{7} \times \frac{14}{9} [/tex]

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

[tex] = \frac{4}{3} = 1 \frac{1}{3} (Ans) [/tex]

[tex] \frac{18}{x} = \frac{6}{10} [/tex]

[By cross multiplication]

=> 18 × 10 = 6 × x

[tex] = > \frac{18 \times 10}{6} = x[/tex]

=> 3 × 10 = x

=> x = 30 (Ans)

Answer:

97.8

Step-by-step explanation:

add together 97.3 +0.5

9514 1404 393

Answer:

  9 : 49

Step-by-step explanation:

Assuming the rectangles are similar, the ratio of their areas is the square of the ratio of their side lengths.

  sides ratio = 3 : 7

  areas ratio = 3² : 7² = 9 : 49

Answer:

its 1900 Bc. Because BC stand for before chirst

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope =  (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

Answer:

11.33

Step-by-step explanation:

First find the markup

8.80 * 25%

8.8 *.25 = 2.20

The new price is 8.80+2.20 = 11

Now find the tax

11*.03

.33

Add the tax to the new price

11+.33

11.33

Answer:

$11.33

Step-by-step explanation:

First divide 25% by 100, 0.25.

Then multiply 8.80 x 0.25 = 11.

Again, divide 3% by 100, 0.03

Then finally take 11.00 and multiply it with 0.03.

11.00 x 0.03=

$11.33

Answer:

1 3 5 7 9 11

Step-by-step explanation:

same like this do the question the answer will come

Answer:

a) 0.0808 = 8.08% probability that the sample mean rent is greater than $2700.

b) 0.0546 = 5.46% probability that the sample mean rent is between $2450 and $2550.

c) The 25th percentile of the sample mean is of $2596.

d) |Z| = 0.3 < 2, which means it would not be unusual if the sample mean was greater than $2645.

e) |Z| = 0.3 < 2, which means it would not be unusual if the sample mean was greater than $2645.

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.

If |Z|>2, the measure X is considered unusual.

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.

The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2630. Assume the standard deviation is $500.

This means that [tex]\mu = 2630, \sigma = 500[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{500}{\sqrt{100}} = 50[/tex]

a) What is the probability that the sample mean rent is greater than $2700?

This is the 1 subtracted by the p-value of Z when X = 2700. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{2700 - 2630}{50}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a p-value 0.9192

1 - 0.9192 = 0.0808

0.0808 = 8.08% probability that the sample mean rent is greater than $2700.

b) What is the probability that the sample mean rent is between $2450 and $2550?

This is the p-value of Z when X = 2550 subtracted by the p-value of Z when X = 2450.

X = 2550

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

[tex]Z = \frac{2550 - 2630}{50}[/tex]

[tex]Z = -1.6[/tex]

[tex]Z = -1.6[/tex] has a p-value 0.0548

X = 2450

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

[tex]Z = \frac{2450 - 2630}{50}[/tex]

[tex]Z = -3.6[/tex]

[tex]Z = -3.6[/tex] has a p-value 0.0002

0.0548 - 0.0002 = 0.0546.

0.0546 = 5.46% probability that the sample mean rent is between $2450 and $2550.

c) Find the 25th percentile of the sample mean.

This is X when Z has a p-value of 0.25, so X when Z = -0.675.

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

[tex]-0.675 = \frac{X - 2630}{50}[/tex]

[tex]X - 2630 = -0.675*50[/tex]

[tex]X = 2596[/tex]

The 25th percentile of the sample mean is of $2596.

Question d and e)

We have to find the z-score when X = 2645.

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

[tex]Z = \frac{2645 - 2630}{50}[/tex]

[tex]Z = 0.3[/tex]

|Z| = 0.3 < 2, which means it would not be unusual if the sample mean was greater than $2645.

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

[tex]{ \tt{ {x}^{2} + 4x - 12 = 0 }} \\ { \tt{(x - 2)(x + 6) = 0}} [/tex]

Answer:

C) (-6,0)(2,0)

Step-by-step explanation:

f(x)= x²+4x-12

(x-2)(x+6)=0

x=2

x=-6

Answer:

The treatment should be stated by the four companies,since it more interested in the quality among each of the companies to be compared.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The table gives us the squares of certain values, and can be used to find the square root of certain values as well. For example, if 6² = 36, we can say that √36 = 6. Given this information, we can say that √47.6 is 6.9, and √49 = 7. If we look at the square root graph (√x=y), we can see that as x goes up, y goes up, and when x goes down, y goes down.

Therefore, we can say that the square root of 48 is between 6.9 and 7. We don't know exactly where it is, as there is no formula given to find it, so what Gina can do is go through the values between 6.9 and 7.0 and look for √48

Answer:

a.5005

b.[tex]\frac{1960}{5005}[/tex]

c.1/715

d.714/715

Step-by-step explanation:

We are given that

Total men=8

Total women=7

Total people, n=8+7=15

r=6

a.

Combination formula:

Selection of r out of n people by total number of ways

[tex]nC_r[/tex]

Using the formula

We have n=15

r=6

Total number of ways=[tex]15C_6[/tex]

Total number of ways=[tex]\frac{15!}{6!9!}[/tex]

Using the formula

[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]

Total number of ways=[tex]\frac{15\times 14\times 13\times 12\times 11\times 10\times 9!}{6\times 5\times 4\times 3\times 2\times 1\times 9!}[/tex]

Total number of ways=5005

b. The probability of having exactly 3 men in the group

=[tex]\frac{8C_3\times 7C_3}{15C_6}[/tex]

Using the formula

Probability,[tex]P(E)=\frac{favorable\;cases}{Total\;number\;of\;cases}[/tex]

The probability of having exactly 3 men in the group=[tex]\frac{\frac{8!}{3!5!}\times \frac{7!}{3!4!}}{5005}[/tex]

=[tex]\frac{\frac{8\times 7\times 6\times 5!}{3\times 2\times 1\times 5!}\times \frac{ 7\times 6\times 5\times 4!}{3\times 2\times 1\times 4!}}{5005}[/tex]

=[tex]\frac{56\times 35}{5005}[/tex]

The probability of having exactly 3 men in the group

=[tex]\frac{1960}{5005}[/tex]

c. The probability of all the selected people in the group are women

=[tex]\frac{8C_0\times 7C_6}{5005}[/tex]

The probability of all the selected people in the group are women

[tex]=\frac{\frac{8!}{0!8!}\times \frac{7\times 6!}{6!1!}}{5005}[/tex]

The probability of all the selected people in the group are women

[tex]=\frac{7}{5005}=\frac{1}{715}[/tex]

d. The probability of having at least one man in the group

=1- probability of all the selected people in group are women

The probability of having at least one man in the group

[tex]=1-\frac{1}{715}[/tex]

[tex]=\frac{715-1}{715}[/tex]

[tex]=\frac{714}{715}[/tex]

The probability of having at least one man in the group [tex]=\frac{714}{715}[/tex]

[tex] 5-3x<7-2x\\\\5-7<-2x+3x\\\\-2<x\\\\\boxed{\sf{x>-2}}[/tex] 

[tex]\sf{   }[/tex]  [tex]\sf{   }[/tex]  [tex]\sf{   }[/tex]

Answer:

x>-2

Step-by-step explanation:

5-3x<2x+3x

5-7<-2x+3

-2<x

note the sign changes

therefore

x >-2

Answer:

20%

Step-by-step explanation:

3.5 - 2.8 = 0.7

0.7 ÷ 3.5 = 0.2

0.2 × 100 = 20

The answer is 20%.

Hope this helped.

Answer:

predicted wight=2.8

Actual wight = 3.5 pounds

(3.5-2.8)/3.5

=0.7/3.5 × 100

=100/5=20%

Answer: 20%

OAmalOHopeO

Answer:

D

Step-by-step explanation:

The correct answer is D. Answered by Gauthmath

Answer:

[tex]5 \frac{1}{8}[/tex]

Step-by-step explanation:

Remember that [tex]\frac{1}{2} = \frac{4}{8}[/tex], so we want to find [tex]\frac{4}{8} + 4 + \frac{5}{8} = 4 + \frac{9}{8}[/tex]. However, this is not in it's simplest form because [tex]\frac{9}{8}[/tex] should be [tex]1 \frac{1}{8}[/tex]. Therefore, the final answer is [tex]4+1+\frac{1}{8} = 5 \frac{1}{8}[/tex].

Answer:

5 1/8 correct answer to question

Answer:

y= -3x +40

Step-by-step explanation:

Properties of perpendicular bisector:

• perpendicular to the given line

• cuts through the center of the given line

The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y -intercept.

Let's find the gradient of the given line first.

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

Gradient of given line

[tex] = \frac{6 - 2}{18 - 6} [/tex]

[tex] = \frac{4}{12} [/tex]

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

The product of the gradients of perpendicular lines is -1.

m(⅓)= -1

m= -1(3)

m= -3

Substitute m= -3 into the equation:

y= -3x +c

To find the value of c, substitute a pair of coordinates in which the perpendicular bisector passes through into the equation. Since perpendicular bisectors passes through the center of the segment, we can find the point in which the perpendicular bisector passes through using the mid- point formula.

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Midpoint

[tex] = ( \frac{6 + 18}{2} , \frac{6 + 2}{2} )[/tex]

[tex] = ( \frac{24}{2} , \frac{8}{2} )[/tex]

[tex] = (12,4)[/tex]

y= -3x +c

when x= 12, y= 4,

4= -3(12) +c

4= -36 +c

c= 4 +36

c= 40

Thus, the equation of the perpendicular bisector is y= -3x +40.