Construct a 99% confidence interval of the population proportion using the given information x=75 n=150 Click here to view the table of critical values The lower bound is The upper bound Is (Round to three decimal places as needed )

\(\longrightarrow{\blue{64}}\) 

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( = (10 {}^{2} - 6 {}^{2} ) \)

\( = [(10 \times 10) - (6 \times 6)]\)

\( = (10 0- 36)\)

\( = 64\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}\)

The answer is B) Dilating a triangle does not change the measurements of the triangle's angles.

The gene order based on the mapping data is a b c.

To determine the gene order based on the mapping data, we need to analyze the frequencies of different genotypes in the given sample. The given genotypes are a combination of alleles for three genes: a, b, and c.

By examining the frequencies of each genotype, we can infer the order of the genes. From the data provided, we observe that genotype a b c has a frequency of 220, genotype b c has a frequency of 210, and genotype a b has a frequency of 40. Since the frequency of genotype a b c is the highest, it indicates that gene a is present at the first position.

Similarly, the frequency of genotype b c is higher than the frequency of genotype a b, suggesting that gene b is located in the middle. Finally, the frequency of genotype a b c is lower than the frequencies of genotype b c and genotype a b, indicating that gene c is present at the last position.

Therefore, based on the frequencies of the genotypes, the gene order is determined to be a b c.

Learn more about Data

brainly.com/question/29117029

#SPJ11

F(3) : -8

To determine x when F(x) = -9 is x = 4

What is the Function?

A function is a relationship or expression involving one or more variables.  It has a set of inputs and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

        So, -x = -4

        x = 4

To learn more about Function, Visit

https://brainly.com/question/11624077

#SPJ1

Answer: 36

Step-by-step explanation:

6 x 4 = 24 (top box)

(6 x 4) divided by 2 = 12 (bottom triangle)

If the map shows that the school is 3 inches from home , that means the Harper home is 4.47 yards away from the school .

In the question,

it is given that

the 34 inches in map is equal to 50 yards in real .

So , 34 inches = 50 yards

1 inches = 50/34 yards

So, 1 inch = 1.47 yards

given that the the distance is 3 inches in map , then in real it will be

3 inch = 3*1.47 yards

= 4.47 yards

Therefore , If the map shows that the school is 3 inches from home , that means the Harper home is 4.47 yards away from the school .

Learn more about Distance here

https://brainly.com/question/11820223

#SPJ1

Notice that 100 is 20 less than 120, or equivalently 2 standard deviations σ below the mean µ. So

P(x ≥ 100) = P(x ≥ µ - 2σ)

Recall the empirical rule for normal distributions (these are true for any mean µ and s.d. σ):

• P(µ - σ ≤ x ≤ µ + σ) ≈ 0.65

• P(µ - 2σ ≤ x ≤ µ + 2σ) ≈ 0.95

• P(µ - 3σ ≤ x ≤ µ + 3σ) ≈ 0.997

The probability we want is the same as

P(x ≥ µ - 2σ) = P(µ - 2σ ≤ x ≤ µ + 2σ) + P(µ + 2σ ≤ x)

or

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

which is clearly some number larger than 0.95, so A must be correct.

Suppose a normal distribution has a mean of 120 and a standard deviation, P(x >= 100) is 0.975. Option A. This is further explained below.

Generally, normal distribution is simply defined as a function that displays the dispersion of numerous unknown parameters as a symmetrical bell-shaped graph.

In conclusion, based on the function

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

the function P(x >= 100) is 0.975

Read more about normal distribution

https://brainly.com/question/15103234

#SPJ2

Answer:

pizza                 kids

3                          7

6                         14

12                        28

24                       56

48                       112

-----------------------------------------

:)

The two integers which gives quotient -2 is 6 and -3.

A) Given that, sum is -3.

Here, the two integers which gives sum -3 is -5 and 2.

That is, -5+2=-3

B) Difference is 2

Here, the two integers which gives difference 2 is 3 and 1.

That is, 3-2=2

C) Product is -8

Here, the two integers which gives product -8 is -2 and 4.

That is, -2×4=-8

D) Given that, quotient is -2.

Here, the two integers which gives quotient -2 is 6 and -3.

That is, 6÷(-3)

= -6/3

= -2

Therefore, the two integers which gives quotient -2 is 6 and -3.

Learn more about the quotient here:

https://brainly.com/question/16134410.

#SPJ1

The integer 35 from the set S = {-24,2,20,35} will make the inequality (5m/6) - 5 < (m/2) + 3 false.

We shall put each integer from the set to both the left hand side and the right hand side of the inequality expression to know if the symbol remain true as follows:

For m = -24:

[5(-24)/6] - 5 = -25

(-24/2) + 3 = -9

-25 < -9 true

For m = 2:

[5(2)/6] - 5 = -3.33

(2/2) + 3 = 4

-3.33 < 4 true

For m = 20

[5(20)/6] - 5 = 11.67

(20/2) + 3 = 13

11.67 < 13 true

For m = 35:

[5(35)/6] - 5 = 24.17

(35/2) + 3 = 20.5

24.17 < 20.5 false

Therefore, the integer 35 from the set S = {-24,2,20,35} will make the inequality (5m/6) - 5 < (m/2) + 3 false.

Know more about inequality here:https://brainly.com/question/18881247

#SPJ1

The value of the variable "a" will be 10. Thus, the correct option is C.

Given that:

Equation, \(\dfrac{3}{5} = \dfrac{a + 5}{25}\)

The largest exponent of the variable in a linear equation, which has a degree of 1, is 1. The values of the variable that make a linear equation true are known as solutions, and they may be discovered in a number of ways, including through substitution or by utilizing the slope-intercept form.

Fundamental to algebra, linear systems of equations are used in physics, economics, and engineering, among other disciplines.

Simplify the equation, then we have
\(\dfrac{3}{5} = \dfrac{a + 5}{25}\\\\15 = a +5\\\\a = 10\)

The value of 'a' is 10.

Thus, the correct option is C.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ12

The complete question is attached below:

The measure of acute angle is π/7

The area of a sector of a circle is a fraction of the circle's total area, proportional to the measure of the central angle that subtends the sector.

The formula to calculate the area of a sector of a circle is:

=> A = (θ/360) × πr²

Where: A is the area of the sector

θ is the measure of the central angle in degrees

r is the radius of the circle

We can use this formula to calculate the area of the sector in the given problem

Here we have

Two distinct lines pass through the center of three concentric circles of radii 3, 2, and 1. The area of the shaded region in the diagram is 8/13 of the area of the unshaded region.

Let the area of the shaded part is 'S' and 'U' be the area of the unshaded part and the acute angle formed by the two lines be 'θ'

Hence, we can take => S + U = 9π

From the data, S = 8/13 U

=> 8/13 U + U = 9π

=>  21/13 U = 9π

=> 9π = 21/13 U

=> U = 117/21 π

=> U = 39π/7  and S = 24π/7

Now write the area of the shaded region in terms of θ

=> 2θ/2π · π + 2(π - θ)/2π (4π - π) + 2θ/2π (9π - 4π) = 24π/7

=> θ + 3π - 3θ + 5θ = 24π/7

=> 3θ + 3π = 24π/7  

=> 3θ = 24π/7 - 3

=> 3θ = 24π - 21π/7

=> 3θ = 3π/7  

=>  θ = π/7  

Therefore,

The measure of acute angle is π/7

Learn more about Sector of Circle at

https://brainly.com/question/15849991

#SPJ4

There are 64 boards in the stack.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

A stack of boards is 24 inches high.

Each board is 3/8 of an inch thick.

As, When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

Then, number of boards

= 24 x 8/3

= 8 x 8

= 64

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ1

Answer:

10.60 inches

Step-by-step explanation:

18.45

-7.85

_____

10.60 inches

Answer:m is greater than or equal to 1/2

Step-by-step explanation:

5

The slope-intercept form is  y = m x + b y = m x + b , where  m m  is the slope and  b b  is the y-intercept. y = m x + b y = m x + b

Rewrite in slope-intercept form.

Subtract  3 x 3 x  from both sides of the equation. − 8 y = 5- 3 x - 8 y = 5-3 x

Divide each term by  −8 -8  and simplify. y = 3 x 8 − 58 y = 3 x 8 - 58

Rewrite in slope-intercept form. y = 38 x − 58 .

If there had been 2 more students in the club, each would have had to contribute 50 cents less, there were 18 students in the math club.

Let's assume that initially, there were 'x' students in the math club. Each student contributed an equal amount to purchase a $72 calculator, so each student's contribution was 72/x dollars.

According to the given information, if there had been 2 more students in the club, each student would have had to contribute 50 cents less. This means that the new contribution per student would be (72/x) - 0.50 dollars.

We can set up the equation:

72/x - 0.50 = 72/(x+2)

To simplify the equation, we can multiply both sides by x(x+2) to eliminate the denominators:

72(x+2) - 0.50x(x+2) = 72x

Expanding and rearranging terms:

72x + 144 - 0.50x² - x = 72x

Rearranging again:

0.50x² - x - 144 = 0

Now we can solve this quadratic equation. By factoring or using the quadratic formula, we find that x = 18 or x = -16. However, since the number of students cannot be negative, the solution is x = 18.

To learn more about equation click on,

https://brainly.com/question/21023449

#SPJ4

The expected number of empty bins when tossing n balls into n bins, with each toss being independent and equally likely, can be determined using the concept of probability.

Let's define the probability that a specific bin remains empty after n tosses as P(empty). Since each ball has n choices, there are n^n possible ways to distribute the balls. To find the probability that a specific bin is empty, we can consider the situation where balls can be tossed into the remaining n-1 bins, resulting in (n-1)^n possible distributions. Therefore, P(empty) = ((n-1)^n) / (n^n).

Now, to calculate the expected number of empty bins, we can use the concept of linearity of expectation. The expected value of the sum of random variables is equal to the sum of the expected values of the individual random variables. In this case, the random variables represent the empty status of each bin (1 if empty, 0 if not).

The expected number of empty bins is the sum of the probabilities of each bin being empty, which is n * P(empty). So, the expected number of empty bins = n * (((n-1)^n) / (n^n)).

Using this formula, you can determine the expected number of empty bins when n balls are tossed into n bins independently and with equal likelihood.

Learn more about independent  here:

https://brainly.com/question/15375461

#SPJ11

Therefore, we need to add approximately 0.0526 gallons of water (which is equivalent to about 6.63 fluid ounces) to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of one or more variables, coefficients, and constants, and it can include mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign, indicating that they have the same value. The goal of solving an equation is to determine the value of the variables that make the equation true. Equations are used in many areas of mathematics and science to model real-world phenomena and solve problems.

Here,

Let's assume that we need to add x gallons of water to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze. We know that the final solution will contain 1 gallon of antifreeze, and that this will be 95% of the total solution (the remaining 5% will be water). So, we can write:

1 gallon of antifreeze = 95% of (1 gallon of antifreeze + x gallons of water)

We can simplify this equation by converting 95% to a decimal:

0.95 × (1 gallon of antifreeze + x gallons of water) = 1 gallon of antifreeze

Now we can solve for x by isolating it on one side of the equation. First, let's distribute the 0.95:

0.95 gallons of antifreeze + 0.95x gallons of water = 1 gallon of antifreeze

Next, let's isolate x by subtracting 0.95 gallons of antifreeze from both sides:

0.95x gallons of water = 0.05 gallons of antifreeze

Finally, we can solve for x by dividing both sides by 0.95:

x = 0.05 gallons of antifreeze ÷ 0.95

x ≈ 0.0526 gallons of water

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

To learn more about distribution : brainly.com/question/29664127

#SPJ11

Answer:

x=3

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

The gross earnings are determined by multiplying the pay rate by the number of hours worked.

Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.

Total deductions are the sum of federal taxes, state taxes, and social security deductions.

Net pay is obtained by subtracting the total deductions from the gross earnings.

To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.

Therefore, the gross earnings are $7.50 * 30 = $225.

Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.

The federal taxes amount to 18% * $225 = $40.50.

Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.

The state taxes amount to 4% * $225 = $9.

To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.

The social security deduction amounts to 7.05% * $225 = $15.86.

The total deductions are the sum of the federal taxes, state taxes, and social security deduction.

Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.

Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.

Therefore, the net pay is $225 - $65.36 = $159.64.

In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.

Learn more about gross earnings here:

https://brainly.com/question/9778114

#SPJ11

Answer:

it's the 2nd one

Step-by-step explanation:

yeah it's the 2one

Answer:

(B) They are perpendicular because their slopes are negative reciprocals

Step-by-step explanation:

B. They are perpendicular because their slopes are negative reciprocals.

Answer:

there is no picture,you need to add a pic

An alternative proof of the theorem that a preference relation on a finite set has a utility representation with values being natural numbers can be given by showing that a maximal element always exists in a finite set with a preference relation on its elements, and then proceeding by induction to assign natural numbers to each element in the set. This proof can be helpful when designing experiments to elicit preference orderings over alternatives by providing a way to assign numerical values to the preferences.

The proof proceeds as follows:

Show that a maximal element always exists in a finite set with a preference relation on its elements.

Assign the natural number 1 to the maximal element.

For each element in the set that is not maximal, assign the natural number 2 to the element that is preferred to it, the natural number 3 to the element that is preferred to the element that is preferred to it, and so on.

Continue in this way until all of the elements in the set have been assigned natural numbers.

This proof can be helpful when designing experiments to elicit preference orderings over alternatives by providing a way to assign numerical values to the preferences. For example, if a subject is asked to rank a set of 5 alternatives, the experimenter could use this proof to assign the natural numbers 1 to 5 to the alternatives in the order that they are ranked. This would allow the experimenter to quantify the subject's preferences and to compare them to the preferences of other subjects.

To learn more about natural numbers click here : brainly.com/question/17273836

#SPJ11