What is Pi* 457363225452-485092526+2671251971947691

(Please do not use calculator and pi=3.14)

Answer:

Step-by-step explanation:

Well, since it was not given the interval let's use the interval [0,5] with n=10

So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of: [tex]f(x)=7\pi \sin(x)[/tex]

[tex]T_{10}=\frac{b-a}{2n}[f(a)+2f(x_1)+ ....2f(x_{n-1})+f(b)][/tex] Plugging in:

[tex]T_{10}=\frac{5-0}{2*10}[f(0)+2f(\frac{1}{2})+2f(1)+2f(\frac{3}{2})+2f(2)+2f(5/2)+2f(3)+2f(7/2)+2f(4)+2f(9/2) +f(5)][/tex]

[tex]T_{10}=\frac{1}{4}[0+21.086+37+43.87+39.99+26.322+6.20-15.43-33.285-42.99-21.087][/tex]

[tex]T_{10}\approx 15.419[/tex]

Now the same area according to Simpson rule:

[tex]S_{10}=\frac{b-a}{3n}[f(a)+4f(x_{1})+2f(x_{2})+4f(x_{3} )+2f(x_{4})+4f(x_{5})+2f(x_{6})+4f(x_{7})+2f(x_{8})+4f(x_{9})+f(b)]\\S_{10}=\frac{5}{3*10}[0+74.01+43.87+79.98+26.322+12.413-15.43-66.571-42.99-21.08]\approx 15.085[/tex]

[tex]S_{10}\approx 15.0585[/tex]

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups. Some members of each group are surveyed. This is stratified sampling

Answer:

First choice

Step-by-step explanation:

Start by arranging the exponents of 10 in ascending order.

9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7 * 10^3

The exponents are in ascending order, -8, -6, 3, 3

Since the last two exponents are equal, we must compare the numbers that multiply the powers of 10. They are 2.5 and 7. Since 2.5 < 7, ascending order is 2.5, 7. That means the line above is in ascending order.

Answer: First choice

Answer:

a) [tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]  

b) [tex]p_v =2*P(z<-1.53)=0.126[/tex]

c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Step-by-step explanation:

Information given

[tex]\bar X_{1}= 104[/tex] represent the mean for 1

[tex]\bar X_{2}= 106[/tex] represent the mean for 2

[tex]\sigma_{1}= 8.4[/tex] represent the population standard deviation for 1

[tex]\sigma_{2}= 7.6[/tex] represent the population standard deviation for 2

[tex]n_{1}=80[/tex] sample size for the group 1

[tex]n_{2}=70[/tex] sample size for the group 2

z would represent the statistic

Hypothesis to test

We want to check if the two means for this case are equal or not, the system of hypothesis would be:

H0:[tex]\mu_{1}=\mu_{2}[/tex]

H1:[tex]\mu_{1} \neq \mu_{2}[/tex]

The statistic would be given by:

[tex]z =\frac{\bar X_1-\bar X_2}{\sqrt{\frac{\sigma^2_1^2}{n_1} +\frac{\sigma^2_2^2}{n_2}}}= [/tex](1)

Part a

Replacing we got:

[tex]z =\frac{104-106}{\sqrt{\frac{8.4^2}{80} +\frac{7.6^2}{70}}}= -1.53[/tex]

Part b

The p value would be given by this probability:

[tex]p_v =2*P(z<-1.53)=0.126[/tex]

Part c

Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

20%=20/100

= 0.2

=0.2×10/10

=2/10

=1/5

Percent to decimal:

20/100 = 0.20

Answer:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Step-by-step explanation:

Longboard:

2, 7, 16, 13, 10, 18, 7, 8, 15, 15, 19, 17, 3, 10, 11, 16, 24 5, 20, 6, 9, 11, 8, 21, 22, 18, 14, 12, 16, 24

Sorting in ascending order, we have:

[tex]2, 3, 5, 6, 7, 7, \boxed{8, 8}, 9, 10, 10, 11, 11, 12, \boxed{13, 14,} 15,15, 16, 16, 16, 17, \boxed{18, 18}, 19, 20, 21, 22, 24 , 24[/tex]

Median [tex]=\dfrac{13+14}{2}=13.5[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{18+18}{2}=18\\$Interquartile range, Q_3-Q_1=18-8=10[/tex]

Shortboard

17, 16, 7, 5, 13, 8, 7, 6, 15, 8, 8, 16, 10, 23, 24, 10, 20, 16, 16, 24, 23, 14, 6, 12, 10, 7, 12, 25, 13, 22

Sorting in ascending order, we have:

[tex]5, 6, 6, 7, 7, 7, \boxed{8, 8,} 8, 10, 10, 10, 12, 12, \boxed{13, 13} 14, 15, 16, 16, 16, 16, \boxed{17, 20,} 22, 23, 23, 24, 24, 25[/tex]

Median [tex]=\dfrac{13+13}{2}=13[/tex]

[tex]Q_1=\dfrac{8+8}{2}=8 \\Q_3=\dfrac{17+20}{2}=18.5\\$Interquartile range, Q_3-Q_1=18.5-8=10.5[/tex]

Therefore:

(a)The median for the longboards was 13.5 days, and the median for the shortboards was 13 days, showing that those with longboards typically surfed more days in this month.

(b)The interquartile range for the longboards was 10 days, and the interquartile range for the shortboards was 10.5 days, showing more variation in the days surfed this month for the shortboards.

Answer:

4x² + 6x + 2

Step-by-step explanation:

Solve by factoring.

4x · x = 4x²

4x · 1 = 4x

2x · 1 = 2x

2 · 1 = 2

Combine like terms.

4x² + 4x + 2x + 2

= 4x² + 6x + 2

Hope this helps.

Answer:

Step-by-step explanation:

The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.

QS = √(1 - 5)² + (3 - 3)² = 16

RT = √(3 - 3)² + (4 - 2)² = 4

Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.

Let us check if the diagonals are perpendicular.

Slope of QS = (3 - 3)/(5 - 1) = 0/4

Slope of RT = (2 - 4)/(3 - 3) = - 2/0

The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is

D. QRST is none of these because its diagonals are neither congruent nor perpendicular.

Answer:

equation is pv=nRT

p, n, R are constants

so, v is directly proportional to Temperature

v1/v2=T1/T2

250/v2=300/420

v2=350

Answer:

150 yards

Step-by-step explanation:

Since 1 yard = 3 feet,

You can divide 450 by 3 to express it in yards.

450 ÷ 3 = 150

So, the pyramid is 150 yards high.

Answer:

150 yards

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Step-by-step explanation:

Let the number be x

Difference of a number & 5 : x-5

1/3 time the difference of a number & 5: 1/3 (x-5)

Equation:

[tex]\frac{1}{3}*(x-5)=\frac{-2}{3}[/tex]

Solution:

[tex]x-5=\frac{-2}{3}*\frac{3}{1}\\\\x-5=-2\\\\x=-2+5\\x=3[/tex]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The rectangle has an area of 60 square feet. Find its dimensions (in ft) if the length of the rectangle is 4 ft more than its widh.

smaller value ___________________ ft

larger value ____________________ ft

Answer:

Smaller value = 6 ft

Larger value = 10 ft

Step-by-step explanation:

Recall that the area of a rectangle is given by

[tex]Area = W \times L[/tex]

Where W is the width and L is the length of the rectangle.

It is given that the rectangle has an area of 60 square feet.

[tex]Area = 60 \: ft^2 \\\\60 = W \times L \\\\[/tex]

It is also given that the length of the rectangle is 4 ft more than its width

[tex]L = W + 4[/tex]

Substitute [tex]L = W + 4[/tex] into the above equation

[tex]60 = W \times (W + 4) \\\\60 = W^2 + 4W \\\\W^2 + 4W - 60 = 0 \\\\[/tex]

So we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

[tex]W^2 + 10W - 6W - 60 \\\\W(W + 10) – 6(W + 10) \\\\(W + 10) (W - 6) = 0 \\\\[/tex]

So,

[tex](W + 10) = 0 \\\\W = -10 \\\\[/tex]

Since width cannot be negative, discard the negative value of W

[tex](W - 6) = 0 \\\\W = 6 \: ft \\\\[/tex]

The length of the rectangle is  

[tex]L = W + 4 \\\\L = 6 + 4 \\\\L = 10 \: ft \\\\[/tex]

Therefore, the dimensions of the rectangle are

Smaller value = 6 ft

Larger value = 10 ft

Verification:

[tex]Area = W \times L \\\\Area = 6 \times 10 \\\\Area = 60 \: ft^2 \\\\[/tex]

Hence verified.

Answer: Anything above 2

Step-by-step explanation:

Answer: 3,4,5,6,7,8,9 (Any of these digits work)

Step-by-step explanation:

We want to find a digit that makes the number greater than 3260.2. There are many digits that can fit in there.

3318.7≥3260.2

Here, we plugged in a 3. that makes this sentence true because 3318.7 is greater than or equal to 3260.2. Since 3 works, we know that any digit greater than 3 would fit.

Answer:

Option (3)

Step-by-step explanation:

Volume of the flavored ice that can be filled in the cone = Volume of the ice cone - volume of the spherical piece of bubble gum

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

where r = radius of the cone

h = height of the cone

Volume of the ice cone = [tex]\frac{1}{3}\pi (3)^2(5)[/tex]

Volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] [r = radius of the bubble gum]

                                 = [tex]\frac{4}{3}\pi (\frac{1.1}{2}) ^{3}[/tex]

                                 = [tex]\frac{4}{3}\pi (0.55) ^{3}[/tex]

Volume of the flavored ice filled in the cone = [tex]\frac{1}{3}\pi (3)^2(5)-\frac{4}{3}\pi (0.55) ^{3}[/tex]

Therefore, Option (3) will be the answer.

Answer:

Step-by-step explanation:

Volume of a hemisphere is given by

[tex]V = \frac{2}{3} \pi {r}^{3} [/tex]

where r is the radius of the hemisphere

From the question

r = 29 ft

Substitute the value of r into the formula

That's

[tex]V = \frac{2}{3} \pi \times {29}^{3} [/tex]

[tex]V = \frac{48778}{3} \pi[/tex]

We have the final answer as

Hope this helps you

Answer:

A. We are 92% confident that the population mean height of college football players is between 63.2 and 65.9 inches.

Step-by-step explanation:

Confidence interval:

x% confidence

Of a sample

Between a and b.

Interpretation: We are x% sure(or there is a x% probability/chance) that the population mean is between a and b.

In this question:

92% confidence interval for the average height of football players is (63.2, 65.9).

Interpretation: We are 92% sure that the true average height of all college football players, that is, the population mean, is in this interval.

The correct answer is:

A. We are 92% confident that the population mean height of college football players is between 63.2 and 65.9 inches.

Complete Question

The complete question is shown on the  first uploaded image

Answer:

The standard deviation is  [tex]\sigma =1.5811[/tex]

Step-by-step explanation:

  The  sample  size is  n  =  18

Generally the probability of getting a four in the toss of the fair die is mathematically represented as

          [tex]p = \frac{1}{6 }[/tex]

While  the probability of not getting a four is  

          [tex]q = 1 - p[/tex]

          [tex]q = 1 - \frac{1}{6}[/tex]

           [tex]q = \frac{5}{6}[/tex]

Now the standard deviation for the binomial random number is mathematically represented as

      [tex]\sigma = \sqrt{n * pq }[/tex]

substituting  values  

     [tex]\sigma = \sqrt{18 * \frac{1}{6}* \frac{5}{6} }[/tex]

      [tex]\sigma =1.5811[/tex]

Answer:

The correct option is  C

Step-by-step explanation:

From the question we are told that

     The number of independent variables is  [tex]n = 3[/tex]

     The number of observation is  [tex]z = 47[/tex]

Since n is are independent variables then their degree of freedom is  3

   The  denominator(i.e z) degrees of freedom is evaluated as

            [tex]Df(z) = z - (n +1)[/tex]

          [tex]Df(z) = 47 - (3 +1)[/tex]

          [tex]Df(z) = 43[/tex]

So for the numerator (n) the degree of freedom is  Df(n) = 3

So for the denominator(i.e z) the degree of freedom is  Df(z) = 43

Answer:

Step-by-step explanation:

Given: point M,

           m<AOB,

           OC the bisector of m<AOB

Thus,

m<AOC = m<BOC (bisector property of OC)

m<MOC = m<BOM (congruence property)

m<AOM - m<BOM = m<AOC = m<BOC

m<BOC = m<MOC = [tex]\frac{m<AOC}{2}[/tex]  (angle property)

Therefore,

m<AOM > m<BOM (point M location property)

m<MOC = [tex]\frac{m<AOM - m<BOM}{2}[/tex]

Answer:

1341.75

Step-by-step explanation:

I did the math :)

The guy above me is correct

Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

[tex]4/5 \times 2/5[/tex]

[tex]=8/25[/tex]

Recall that

[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]

Then

[tex]e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n}}{n!}[/tex]

and

[tex]x^7e^{x^5}=\displaystyle\sum_{n=0}^\infty\frac{x^{5n+7}}{n!}[/tex]

Answer:

D) 86 – 18x – 8 = 12x + 18

X = 2

Step-by-step explanation:

86 – 2 (9x + 4) = 12x + 18

This question has a straight forward answer...

It's just to open up the bracket and ensure that the negative sign before the bracket multiply the values in the bracket exactly.

So opening up the bracket gives us this as the answer

86 - 18x -8 = 12x +18

86-18-8 = 12x+ 18x

60 = 30x

X = 2

Answer: t= 13.4

Step-by-step explanation:

The given equation is [tex]2P_0=P_0(1.053)^t[/tex]

To solve this equation for 't', we first divide both sides by [tex]P_0[/tex], we get

[tex]2=(1.053)^t[/tex]

Taking log on both the sides, we get

[tex]\log 2= \log(1.053)^t[/tex]

Since [tex]\log a^b=b\log a[/tex]

Then,

[tex]\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4[/tex]

Hence, the value of t is 13.4.

Answer:

the milk weighs less than 70 pounds

milk =  64       half of 64 = 32    difference between 32 and 38= 6                    64+6 = 70                

empty can =6 pounds

Answer:

38 is the weight with the can so if we subtract the total weight by the weight of half we can see how much the can weighs

70 - 38 = 32

38 - 32 = 6 so the can weighs 6 pounds.

Hope this helps

Step-by-step explanation:

Answer: 441

Step-by-step explanation:

2 men from 7 will be the members of committee that makes 7*6/2=21 outputs

2 women from 7 will be the members of committee that makes 7*6/2=21 outputs as well.

Total number of outputs is 21*21=441

The number of ways different committees are possible that consist of 2 women and 2 men is 441.

Two terms joined by a plus or minus sign make up a mathematical expression are termed as binomial.

The positive integers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is typically written and indexed by the two integers n ≥ k ≥ 0.

There are the binomial coefficient "7 choose 2", i.e.  [tex]\frac{7!}{2!5!}=21[/tex]  ways to choose 2 people from a set of 7 people.

So, there are 21 ways to choose 2 men and 21 ways to choose 2 women. This means that there is [tex]21^2 = 441[/tex]  ways to choose both 2 men and 2 women.

Learn more about application of binomial coefficient from given link.

https://brainly.com/question/14216809

#SPJ2

Answer:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

Step-by-step explanation:

Confidence interval:

Confidence level of x%

We build from a sample.

Between a and b.

Intepretation: We are x% sure that the population mean is between a and b.

In this question:

90%

45 CEO's

Between ($139,048, $154,144).

So

We are 90% sure that the mean salary of all CEO's falls within this interval.

The correct answer is:

b) We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.

ok hola bro graicas por los punto                            qui    :

Answer:

1. To find m∠1, we can notice that ∠1 and 46° are complementary, meaning they add up to 90° This means that m∠1 = 90 - 46 = 44°. We can do the same for ∠4. In this case, ∠4 = 90 - 23 = 67°.

2. To find m∠1, we can use the exterior angle formula which means that the measure of an exterior angle is equal to the sum of both of its remote interior angles. This means that ∠1 = 52 + 62 = 114°. To find ∠2 we can do 180 - 52 - 62 = 66° because the sum of all angles in a triangle is 180°. Since ∠2 and ∠3 are vertical angles, ∠3 = ∠2 = 66°.