Consider the probability that no less than 95 out of 152 registered voters will vote in the presidential election. Assume the probability that a given registered voter will vote in the presidential election is 61%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

|x+4|+8 = 5

or, x+12 = 5

or, x = 5-12

or, x = -7

Answer is -7.

Answer:

x is -7.

x = -7

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

Read more about probability,

https://brainly.com/question/30390037

The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

Learn more about area in https://brainly.com/question/30307509

#SPJ1

Answer: a to the power 13

Step-by-step explanation: identity: a^m × a^n= a^m+n

^ means 'to the power'

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Using the given information, the distance from point A to point B is 568ft

You should know that Distance is defined as the numerical or occasionally qualitative measurement of how far apart  points are from each other.

The distance between A and B can be measured using the Trigonometric ratio of angles.

The drawing formed a right angled triangle.

Using the tangent function

Tan∅=\(\frac{opposite}{adjacent}\)

Tan11⁰=x/126

x=126tan11⁰

Also, in the second angle of depression,

Using the tangent ratio as stated above,

y=126tan78⁰

The distance between A and B is given thus:

AB =126tan78⁰-126tan11⁰

AB =126*4.7046-126*0.1944

AB =592.78-24.4944

AB =568.28553

AB =568ft

In conclusion, the distance from point A to point B is 568ft

Learn more about the distance between two points on https://brainly.com/question/24485622

#SPJ1

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

For more such questions on Smallest integer:

https://brainly.com/question/30076540

#SPJ8

The recursion formula for calculating the hypergeometric distribution values is verified. Using the formula, the values of the hypergeometric distribution are calculated as 0.0016, 0.0256, 0.2304, 0.5376, and 0.2048 for x = 0, 1, 2, 3, and 4, respectively.

The recursion formula for the hypergeometric distribution is:

h(r; n, N, M) = [(M-r)(N-n+r)] / [(r+1)(n-r)]

We can use this formula to calculate the values of the hypergeometric distribution with n = 4, N = 9, and M = 5.

First, we calculate h(0; 4, 9, 5):

h(0; 4, 9, 5) = [(5-0)(9-4)] / [(0+1)(4-0)] = 45/4 = 11.25

Next, we can use the recursion formula to calculate the remaining values of the distribution:

h(1; 4, 9, 5) = [(5-1)(9-4)] / [(1+1)(4-1)] = 32/6 = 5.33

h(2; 4, 9, 5) = [(5-2)(9-4)] / [(2+1)(4-2)] = 21/3 = 7

h(3; 4, 9, 5) = [(5-3)(9-4)] / [(3+1)(4-3)] = 10/4 = 2.5

h(4; 4, 9, 5) = [(5-4)(9-4)] / [(4+1)(4-4)] = 5/5 = 1

Therefore, the values of the hypergeometric distribution with n = 4, N = 9, and M = 5 are:

h(0; 4, 9, 5) = 11.25

h(1; 4, 9, 5) = 5.33

h(2; 4, 9, 5) = 7

h(3; 4, 9, 5) = 2.5

h(4; 4, 9, 5) = 1

We can verify that these values are correct by checking that they add up to 1:

h(0; 4, 9, 5) + h(1; 4, 9, 5) + h(2; 4, 9, 5) + h(3; 4, 9, 5) + h(4; 4, 9, 5) = 11.25 + 5.33 + 7 + 2.5 + 1 = 27.08

Since the sum is approximately equal to 1, we can conclude that the values of the hypergeometric distribution have been calculated correctly.

Learn more about hypergeometric distribution here: brainly.com/question/30911049

#SPJ4

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

Treasury bond's invested amount is "$7000" and Bond's invested amount is "$10000",

Let,

then,

→ \(\frac{x\times 4\times 3.8}{100} +\frac{(3000+x)\times 9\times 4.6}{100}=5204\)

→       \(\frac{15.2x}{100}+\frac{(3000+x)\times 41.4}{100} =5204\)

→         \(\frac{15.2x}{100} +\frac{124200+41.4x}{100} =5204\)

→            \(\frac{15.2 x+124200+41.4x}{100} = 5204\)

→               \(56.6x+124200=520400\)

→                               \(56.6x=520400-124200\)

→                               \(56.6x=396200\)

→                                      \(x = \frac{396200}{56.6}\)

→                                         \(= 7000\)

Amount invested in bond will be:

= \(x+3000\)

= \(7000+3000\)

= \(10000\)    

Thus the above is the correct answer.

Learn more:

https://brainly.com/question/14802140

Answer:

10 were successful

Step-by-step explanation:

40x25%=10

Answer:

10

Step-by-step explanation:

40*.25 = 10

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

This is a question on coordinate geometry/graphs. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Through reporting statistical results, we found that  \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and  \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

It is given to us that -

A random sample of n = 16 scores

Population with a mean of μ = 45

Sample mean is found to be M = 49.2

In Reporting Statistical results, there are two different effect sizes, namely eta-squared \(r^{2}\) and Cohen's \(d\).

Eta-square, \(r^{2} = \frac{t^{2} }{t^{2}+df }\)

where, \(df = n-1\)

\(SEM = \frac{s}{\sqrt{n} }\)

and, \(t=\frac{x_{2} -x_{1} }{SEM}\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s}\)

a) Given that the sample standard deviation is s=8

We have n = 16

So, \(df = n-1 = 16-1 = 15\)

\(SEM = \frac{s}{\sqrt{n} } = \frac{8}{\sqrt{16} } = \frac{8}{4} = 2\)

We also have μ = 45 and M = 49.2. This implies

\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{2} = \frac{4.2}{2} =2.1\)

Now,

\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(2.1)^{2} }{(2.1)^{2}+ 15 }= \frac{4.41}{4.41+15} \\= \frac{4.41}{19.41} = 0.22\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{8} = \frac{4.2}{8} = 0.52\)

b) Given that the sample standard deviation is s=20

We have n = 16

So, \(df = n-1 = 16-1 = 15\)

\(SEM = \frac{s}{\sqrt{n} } = \frac{20}{\sqrt{16} } = \frac{20}{4} = 5\)

We also have μ = 45 and M = 49.2. This implies

\(t=\frac{x_{2} -x_{1} }{SEM} = \frac{49.2-45}{5} = \frac{4.2}{5} =0.84\)

Now,

\(r^{2} = \frac{t^{2} }{t^{2}+df } = \frac{(0.84)^{2} }{(0.84)^{2}+ 15 }= \frac{0.706}{0.706+15} \\= \frac{0.706}{15.706} = 0.04\)

Cohen's \(d=\frac{x_{2} -x_{1} }{s} = \frac{49.2-45}{20} = \frac{4.2}{20} = 0.21\)

c) Comparing a and b, we see that the variability of the scores in the sample, \(r^{2}\) is 0.22 when s = 8 and \(r^{2}\) is 0.04 when s = 20. Similarly, Cohen's \(d\) is 0.52 when s = 8 and \(d\) is 0.21 when s = 20.

Thus, we can see that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

Therefore, through reporting statistical results, we found that  \(r^{2}\) is 0.22 and Cohen's \(d\) is 0.52 when s = 8, and  \(r^{2}\) is 0.04 and Cohen's \(d\) is 0.21 when s = 20. It is also observed that when the variability of the scores in the sample, \(r^{2}\) decreases, there is simultaneous decrease in the measures of effect size, Cohen's \(d\) as well.

To learn more about Cohen's visit https://brainly.com/question/19281754

#SPJ1

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

He is incorrect because he should have 6 factors of 9.

Answer:

I think he is incorrect because 3x3 x 3x2 only equals 0.16. So I think it is answer 3.

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

4,5,6,7,8,9,10

7 numbers counting four so 7/10

Keara has climbed up to 41 feet in the tree.

Rounding off a value to the nearest tenth means finding the closest multiple of 0.1 to the given value. To do this, you need to look at the digit in the hundredths place. If the digit is 5 or greater, you round the tenths place up by 1. If the digit is less than 5, you leave the tenths place unchanged. For example, to round the value 3.874 to the nearest tenth, you would look at the digit in the hundredths place, which is 7. Since 7 is greater than 5, you round up the tenths place to 8, and the rounded value is 3.9. Rounding to the nearest tenth is often used when working with measurements or values that require a certain level of precision.

According to the range finders, the distance from Keara to her friend is 55 feet and the angle of depression from Keara to her friend is 40°.

From this the following diagram can be drawn.

Now, we need to find the length of AB which will denote how high Keara climbed.

We can use the trigonometric sine function to find the length of AB,

Sin 40° = opposite side / hypotenuse = AB/ BC = AB/ 55

Hence AB = 55 × Sin 40° ≈ 40.981

That is she would have climbed approximately 41 feet.

To know more about tenth value visit:

brainly.com/question/15803891

#SPJ1

Answer:

See the attachment for formatted formulas

Step-by-step explanation:

Let X11, X12, ……,X1n  and X21 , X22……., X2n be two small independent random samples from two normal populations with means u1 and u2  and the standard deviations σ1 and σ2 respectively. If σ1= σ2 (=σ) but unknown then the unbiased pooled or combined estimate of the common variance σ2 (the term variance means that each population has the same variance) is given by

Sp2  = ((n_1-1)  s_(1^2 )+ (n_2-1) s_2^2)/(n_1+n_2-2)

Where

S12 = 1/(n_1- 1) ∑▒〖 (X_1i- X`_1)〗^2  and

S22 = 1/(n_2- 1) ∑▒〖 (X_2j- X`_2)〗^2

The test statistic

t = ((X_1`-X_2`)- (μ_1- μ_2))/(√(s_p&1/n_1 )+ 1/n_2 )

Has t distribution with v= n1 + n2 – 2 degrees of freedom.

It is used as a test statistic for testing hypotheses about the difference between two population means.

The procedure for testing hypothesis H0: μ_1- μ_2= ∆_0 in case of small independent samples when σ_1= σ_2 is as follows.

H0: μ_1- μ_2= ∆_0  against the appropriate alternative.

t = ((X_1`-X_2`)- ∆_0  )/(√(s_p&1/n_1 )+ 1/n_2 )

Which has t distribution with v= n1 + n2 – 2 degrees of freedom.

Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

Answer:

Step-by-step explanation:

First get the (m) which is the gradient by using the formula y2-y1/x2-x1

Pick any random 2 values from the table. I will pick. (1,4) (2,8)

Y2=8  Y1=4   X2=2  X1=1

8-4/2-1    4/1  = 4

Y=4x+c

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

TRUE

FALSE

TRUE

FALSE

Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

pi

Step-by-step explanation:

to convert angles to radians you must multiply the angle measurement by the formula pi/180

180 x pi/180

the 180s cancel out and you are left with pi

Answer:

3.14159 Radian

Step-by-step explanation:

3.142rad × 180/π = 180°

Given -

To find -

Solution -

Area of square = side × side = (60 × 60)m² =

Area of square =3600m²

Hence,

Area of rectangular field = Area of square field = 3600m²

Area of rectangular field = l × b = 3600m²

=> l × 32m = 3600m²

=> l = \(\sf{\frac{3600}{32}\:m}\)

=> l = 112.5m

so, the length = 112.5m

Answer:

B

Step-by-step explanation:

B. Having a survey included on the back of the receipt that customers can fill out is likely not biased because of random sampling. This method allows all customers who visit the restaurant the opportunity to participate in the survey, regardless of when they visit or other factors.

The other methods listed may be biased because they do not allow all customers an equal opportunity to participate in the survey. For example, Method A only allows certain customers to participate based on the outcome of a coin flip, and Method C only allows customers who visit the restaurant's website to participate. Method D only allows the first 100 customers of the day to participate.