Which number line shows the solution to the inequality?

Answer:

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

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 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.

The firm found that the population mean amount that all smokers spend on cigarettes is $20 and the population standard deviation is $5.

This means that [tex]\mu = 20, \sigma = 5[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{5}{\sqrt{100}} = 0.5[/tex]

What is the probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average?

This is the pvalue of Z when X = 21 subtracted by the pvalue of Z when X = 19. So

X = 21

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

By the Central Limit Theorem

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

[tex]Z = \frac{21 - 20}{0.5}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 19

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

[tex]Z = \frac{19 - 20}{0.5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that a new sample this year of 100 steady smokers spends between $19 and $21 on average

Step-by-step explanation:

Let's simplify step-by-step.

−3p3+5p−2p2−4−12p+5−−8p3

=−3p3+5p+−2p2+−4+−12p+5+8p3

Combine Like Terms:

=−3p3+5p+−2p2+−4+−12p+5+8p3

=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)

=5p3+−2p2+−7p+1

Answer:

=5p3−2p2−7p+1

Answer:

23.8

Step-by-step explanation:

2(5.7) + 2(6.2)

11.4 + 12.4

23.8

Answer:

Step-by-step explanation:

The reason why there the same is because if you simplify the fractions you get 1 1/3 from 4 2/6 and 3 8/6.

Answer:

A. -3

Step by Step:

Answer: The answer is 1/3 hope it helps :)

Answer:

the use of a series of numbers with a unique origin indicated by the number zero.

Step-by-step explanation:

In Science, mapping experiment refers to an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

Origin, one of the four characteristics of mapping rules, refers to the use of a series of numbers with a unique origin indicated by the number zero.

In Mathematics, the origin is generally chosen to start from zero on a graph that gives the relationship between two variables.

Answer:

x=25

Step-by-step explanation:

a^2+b^2=c^

24^2+7^2=c^2

576+49=626

sqrt of 625 is 25

Answer:

37% to 69%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In D, the x value repeats

Answer:

C

Step-by-step explanation:

C has a positive then negative slope, while D can't even be a function.

I hope this helps :)

Answer:

B

Divide the speed value by 2.237

80/2.237=35.76

Answer:

35.76

Step-by-step explanation:

I think is -7

Step-by-step explanation:

because I calculated I'm not sure tho

Answer:

These two equations produce a similar graph because they both share the same slope: 2. The only difference is that the y-intercept for the second equation is a positive 7, making the graph shift upwards. Other than this, both equations would be parallel (and identical) on the graph.

Answer:

28,011.71

Step-by-step explanation:

Answer:

answer is 12

Step-by-step explanation:

hope this helps

Answer: Domain is all real numbers. And range is y≥ 3

Step-by-step explanation:

Compound interest is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

If P = $2000, R = 3.5%, n = 2 and T =16 years.

The amount received on his 16th birthday is $3480.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

Where,

R = rate

P = principal.

n = number of times compounded annually.

t = number of years.

We have,

Principal = $2,000

Rate = 3.5%

Semiannually means twice a year so,

n = 2

Time = 16 years

Now,

The amount received on his 16th birthday:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

A = 2000 [tex](1 + \frac{3.5}{2\times 100}) ^{2\times16}[/tex]

A = 2000 [tex](1 +0.0175) ^{32}[/tex]

A = 2000 x [tex]1.0175^{32}[/tex]

A = 2000 x 1.74

A = $3480

Thus,

If P = $2000, R = 3.5%, n = 2 and T =16 years.

The amount received on his 16th birthday is $3480.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ5

Answer:

D) 290

Step-by-step explanation:

w = 5

l = 12

h = 5

Formula:

SA = 2(wl + hl + hw)

SA = 2(5*12 + 12*5 + 5*5)

SA = 2(60 + 60 + 25)

SA = 2(145)

SA = 290

1/2Base×height

Step-by-step explanation:

1/2×8×3

=4×3

=12

Answer:

6000 pounds

Step-by-step explanation:

calculator

Answer:

6000lbs

Step-by-step explanation:

3*2000=6000

Answer:

h = [tex]\frac{- 275}{12}[/tex]

Step-by-step explanation:

85 = 360 + 12h

85 - 360 = 360 - 360 + 12h

- 275 = 12h

- 275 ÷ 12 = 12h ÷ 12

h = - 275/12

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

Answer:

Explanation:

4.7 + (-3.65)

= 4.7 - 3.65

Answer:

1.05

Step-by-step explanation:

4.7 + (-3.65)

= 4.7 - 3.65

= 1.05

Let me know if you have any questions :)

Answer:

1988 years ago.

Historians have never included a year zero, and it isn't common practice to include it.

Hope this helps,

Azumayay

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2

Answer:

2. White Button Mushroom

Answer:

24xy+6

Step-by-step explanation:

Remove parentheses:

=4x times 6y+6

multiply the numbers:

which gives you: 24xy+6

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

we know that

[tex]x+100+3x=180[/tex]

so solve for x

[tex]4x+100=180\\\\4x=80\\\\x=\frac{80}{4}=20[/tex]

Answer: x = 20

Step-by-step explanation:

180 - 100 = 80

4x = 80

x = 20

Answer:

162

Step-by-step explanation:

18 + 63 + 81

Answer:

Step-by-step explanation:

Area of the parallelogram is A=hb and the area of the triangle is A=hb/2 so

A=9(11)+7(11)/2

A=137.5 cm^2