find the value of x complementary pair

Answer:

Hi and the answer to your question is -4

Step-by-step explanation:

Answer:

0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

In a large local high school, 19% of freshmen have had their wisdom teeth removed. Sample of 60 freshmen:

So, by the central limit theorem:

[tex]\mu_f = 0.19, s_f = \sqrt{\frac{0.19*0.81}{60}} = 0.0506[/tex]

24% of seniors have had their wisdom teeth removed. Sample of 50 seniors.

So, by the central limit theorem:

[tex]\mu_s = 0.24, s_s = \sqrt{\frac{0.24*0.76}{50}} = 0.0604[/tex]

What is the probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors?

This is the probability that the subtraction of the proportion of freshmen by the proportion of seniors is larger than 0. For this distribution, we have that:

[tex]\mu = \mu_f - \mu_s = 0.19 - 0.24 = -0.05[/tex]

[tex]s = \sqrt{s_f^2 + s_s^2} = \sqrt{0.0506^2 + 0.0604^2} = 0.0788[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 0. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0 - (-0.05)}{0.0788}[/tex]

[tex]Z = 0.63[/tex]

[tex]Z = 0.63[/tex] has a pvalue of 0.7357

1 - 0.7357 = 0.2643

0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.

Answer

I got 0.263 and was correct.

Step-by-step explanation:

Edge 2022

Answer:

true

Step-by-step explanation:

Yes it is true as

[tex] - b = + ( - b) = + - b[/tex]

Hope it helps Also Do you like Dream , George like all people in the Dream Smp?

Answer:

11

Step-by-step explanation:

3+3+5

3+3

=6

6+5

=11

hope this was helpful! <3

Answer:

11

Step-by-step explanation:

3+3+5=11

Answer: The correct answer is fraction 3 and 3 over 5 cubic feet

Step-by-step explanation:

Step-by-step explanation:

A relationahip is proportional if both variables can be both 0.

y = 0.5x

(0) = 0.5(0)

Since the equality is true, it is proportional.

To graph the function, plot (0, 0) and (10, 5) on the graph and draw a line through the points.

Answer:

2

Step-by-step explanation:

k + 2*4 = 10

and simplify..

Answer:

x=12

Step-by-step explanation:

25 x 4 = 6x + 28

100 = 6x + 28

subtract 28 from each side

72 = 6x

divide each side by 6

12 = x

x = 12

Answer:

A cross section is the shape we get when cutting straight through an object.

Step-by-step explanation:

the cross section of this object is a triangle.

Answer:

C- Rectangle

Step-by-step explanation:

Just took the quiz.

Answer:

[tex]p = -100t + 5000[/tex]

The model predicts 3200 moose in 2008

Step-by-step explanation:

Given

In 1990, year (i.e p) would be 0

So:

In 1994:

[tex](t_1,p_1) = (4,4600)[/tex]

In 1997 (3 years later):

[tex](t_2,p_2) = (7,4300)[/tex]

To get the equation, we first solve for the slope (m)

[tex]m = \frac{p_2 - p_1}{t_2 - t_1}[/tex]

Substitute values for the p's and t's

[tex]m = \frac{4300 - 4600}{7 - 4}[/tex]

[tex]m = \frac{-300}{3}[/tex]

[tex]m = -100[/tex]

The equation is then calculated using:

[tex]p - p_1 = m(t - t_1)[/tex]

Substitute values for p1, m and t1

[tex]p - 4600 = -100(t - 4)[/tex]

Open bracket

[tex]p - 4600 = -100t + 400[/tex]

Make p the subject

[tex]p = -100t + 400+4600[/tex]

[tex]p = -100t + 5000[/tex]

In 2008:

The value of t would be 18 (i.e. 2008 - 1990)

Substitute 18 for t in [tex]p = -100t + 5000[/tex]

[tex]p = -100* 18 + 5000[/tex]

[tex]p = -1800 + 5000[/tex]

[tex]p = 3200[/tex]

The model predicts 3200 moose in 2008

Answer:

10 in

Step-by-step explanation:

6² + 8² = c²

36 + 64 = c²

100 = c²

√100 = c

10 = c

Answer:

d. 80

Step-by-step explanation:

Similarity ratio of ABCD to EFGH = 4:3.

This implies that the ratio of AD to EH = 4:3

If EH = 60, then:

AD:60 = 4:3

AD/60 = 4/3

Multiply both sides by 60

AD = ⁴/3 × 60

AD = 80

Answer:

Jordan made mistake in his first step while multiplying.

Step-by-step explanation:

Given expression of Jordan's work is

14(8+4x) = 6x-(5-11x)

In the first step, Jordan multiplied the numbers to remove the braces.

He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.

Hence,

Jordan made mistake in his first step while multiplying.

Answer:

7

Step-by-step explanation:

If you put it in order it's seen as:

2,4,7,11,15

7 is in the middle.

Answer:

A. $1852.50

Step-by-step explanation:

Principal amount= P=  $3, 900

Rate= r = 19% = 0.19

Time (in years) = t = 2.5

Amount after 2.5 years (A)

[tex]A = P(1+r t )[/tex]

[tex]A = 3900 (1+ (0.19) 2.5)[/tex]

[tex]A = 5,752.5[/tex]

Total interest in 2.5 years  = A-P = 5752.5 - 3900 = 1852.50

Answer:

I have made it in above pic ans is. 35 hours

Answer:

35 hours?

Step-by-step explanation:

Answer:

The answer is x>3

Step-by-step explanation:

Here is a screen shot Hope it helped

Answer:

The answer is sqrt 13

Step-by-step explanation:

[tex]139[/tex] Days from September [tex]25[/tex] will be [tex]11[/tex] February.

Calendar is a system of organizing days. This is done by giving names to periods of time, typically days, weeks, months and years.

So,

To find out [tex]139[/tex] days from September [tex]25[/tex];

We know that,

September has [tex]30[/tex] days.

As it ask to count [tex]136[/tex] days from [tex]25[/tex] September ,

So,

Days left after September  [tex]=139-5=134[/tex]

Now,

October has [tex]31[/tex] days.

Days left after October [tex]=134-31=103[/tex]

Now,

November has [tex]30[/tex] days.

Days left after November [tex]=103-30=73[/tex]

Now,

December has [tex]31[/tex] days.

Days left after December  [tex]=73-31=42[/tex]

Now,

January has [tex]31[/tex] days.

Days left after January [tex]42-31=11[/tex]

So, Left days are [tex]11[/tex] these will be of February.

Hence, we can say that [tex]139[/tex] Days from September [tex]25[/tex] will be [tex]11[/tex] February.

To know more about Calendar click here

https://brainly.com/question/4657906

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Answer:

5,913/10=591.3 x 591.3 = 493,635.69 x 591.3= 206,739,583.497

Step-by-step explanation:

Answer:

Ben is right

Step-by-step explanation:

Given that

The smallest angle of a triangle is 25 degrees

And, there is a factor of 3

So, the enlarged triangle of the smallest angle would be

=  25 degrees × 3

= 75 degrees

As we should multiplied the both items in order to find out the same

So, Ben is right

Answer:

3 1/2 cups

Step-by-step explanation:

24=2

42=x

24x=84

/24   /24

3.5

Answer:

[tex]x + 5[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](5x - 4x) + 5[/tex]

2. Simplify.

[tex]x + 5[/tex]

therefor, the answer is, X + 5

Answer:

a. The next three terms for if it is an arithmetic sequence are 14, 20, and 26.

b. The next three terms for if it is a geometric sequence are 32, 128, and 512.

Step-by-step explanation:

The difference between the numbers using arithmetic functions is adding 6.

The difference between the numbers using geometric functions is  multiplying by four.

Then apply those functions to find the following numbers in the sequence.

Answer:

Step-by-step explanation:

angle A = 40

angle B = 60

angle C = we don't know.

A + B + C = 180

C = 180 - A - B

C = 180 - 40 - 60

C = 80

40 + 60 + 80 = 180

180 = 180...It checks!