excel according to government data, 35% of employed women have never been married. rounding to 4 decimal places, if 15 employed women are randomly selected: a. what is the probability that exactly 2 of them have never been married? b. that at most 2 of them have never been married? c. that at least 13 of them have been married?

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The sample size for the given data is 17

The sample size is a term used in market research for defining the number of subjects included in a sample size.

Given that, a sample size has an 80% confidence interval, the population standard deviation is s = 120, the margin of error to be approximately 10, We need to find the sample size,

Sample size = (z-score)²×SD×(1-SD) / (confidence interval)²

z-score of 80% confidence interval = 1.28

Sample size = (1.28)²×0.12(1-0.12)/0.10²

= 1.6384×0.12×0.88/0.01

= 17.30

Hence, the sample size for the given data is 17

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Answer:

A) reflect triangle A over the x-axis Triangle A: (4,-2) (4,-4) (1,-4)

B) Reflect Triangle A over the line y= -x Triangle A: (-2,4) (-4,-4) (-4,-1)

C) Rotate Triangle A 90 degrees counterclockwise Triangle A: (2,-4) (4,-4) (4,-1)

Step-by-step explanation:

A) When reflecting points over the x axis, the points change from

(x,y) to (x,-y)

B) When reflecting points over the line y=-x, the points change from

(x,y) to (-y,-x)

C) When rotating points 90 degrees counterclockwise around the origin, the points change from (x,y) to (y,-x)

Statement A is correct. The domain is(5,∞) and the range is (4, ∞) is correct.

What is functiοn?

Mathematicians research numbers, their variants, equatiοns, assοciated structures, fοrms, and pοssible cοnfiguratiοns οf these. The wοrd "functiοn" describes the cοnnectiοn between a grοup οf inputs, each οf which has a cοrrespοnding οutput.

The given function is:

f(x) = 3√(x-5) + 4

The domain of a function is the set of all possible values of the input variable (x) for which the function is defined. In this case, the function is defined for all values of x such that the radicand (x - 5) is non-negative, because otherwise we would have to take the cube root of a negative number, which is not a real number.

Therefore, the domain of the function is:

Domain: (5, ∞)

The range of a function is the set of all possible output values that the function can take. For this particular function, notice that the cube root is always non-negative, so the expression 3√(x - 5) is always non-negative. Moreover, adding a positive number (4) to a non-negative number results in a positive number.

Therefore, the range of the function is:

Range: (4, ∞)

Therefore, statement A is correct and statement B is incorrect.

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The centroid of an octant of a solid sphere is located at the point (r/3, r/3, r/3), where r is the radius of the sphere.

An octant is one-eighth of a solid sphere, so it is formed by cutting the sphere into eight equal parts along the x, y, and z axes. The centroid of a solid is the point at which the mass of the solid is evenly distributed, and for an octant of a sphere, this point is located at (r/3, r/3, r/3).

This can be determined by using the formula for the centroid of a solid, which is the average of the x, y, and z coordinates of all the points in the solid. For an octant of a sphere, the x, y, and z coordinates all range from 0 to r, so the average of these coordinates is r/3.

In conclusion, the point representing the centroid is (r/3, r/3, r/3).

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The rule of significant digits is:

a) 3.14 × 5.06 = 15.9

b) 300. × 10.60 = 3180

c) 0.079 × 6.95 = 0.548

d) 80.5 / 0.8759 = 92

e) 0.0409 / 106. = 0.000386

f) 8.70 / 0.356 = 24.4

a) 3.14 × 5.06 = 15.9184

Rounding to the appropriate number of significant figures, we get 15.9.

b) 300. × 10.60 = 3180.0

Rounding to the appropriate number of significant figures, we get 3180.

c) 0.079 × 6.95 = 0.54805

Rounding to the appropriate number of significant figures, we get 0.548.

d) 80.5 / 0.8759 = 91.9875611

Rounding to the appropriate number of significant figures, we get 92.

e) 0.0409 / 106. = 0.000385849

Rounding to the appropriate number of significant figures, we get 0.000386.

f) 8.70 / 0.356 = 24.4382022

Rounding to the appropriate number of significant figures, we get 24.4.

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Answer:

marvel - c

dc - d

Answer:

marvel c dc c

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/3x-2=4/6x-2

2/3x - 2 = 2/3x - 2

Infinite solutions.

Answer:

the answer is 0 = 0

Step-by-step explanation:

Divide the numbers,

Combine multiplied terms into a single fraction

Add  

2  to both sides of the equation

Simplify

The statement provided, "S=0 cm u song and f: NR 0 (no What to say about SO Olfo justify," is not meaningful or coherent. It does not convey any understandable information or context.

The given statement does not make logical sense and appears to be a random combination of letters, symbols, and words without any discernible meaning. It does not follow any recognizable language pattern or structure. Without further context or clarification, it is impossible to provide a meaningful interpretation or explanation for the statement. It seems to be a combination of random characters or a typographical error. If you can provide additional details or rephrase your question, I would be happy to assist you with any specific inquiry or topic you have in mind.

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Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)

Slope of PQ:

\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)

2x - y +1 = 0.

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Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

y - 25 + 25 = 89 + 25

y - 25 + 25 = 114

y = 114

Relational operators allow you to compare numbers. The correct option for the given statement is C.

Compare is an operation that compares two values. Operators are special characters that represent the calculation or comparison in a program. The relational operator is one of the operator types used in programming.

Relational operators are mostly used for comparison. They are used to check whether one value is greater than the other, less than the other, equal to the other, or not equal to the other. Relational operators are primarily used in conditional statements or loops.

The relational operators are:

< (less than)

(greater than)

<= (less than or equal to)

= (greater than or equal to)

== (equal to)

!= (not equal to)

These operators return a boolean value, which is either true or false, depending on the result of the comparison, when used in a program.

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Number that produces a rational number when multiplied  by 1/2 is any integer.

Rational number is a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Given number,

1/2, it is already a rational number.

Numbers that produces a rational number when multiplied by 1/2

is any integer.

Hence, any integer is the number that produces rational number when multiplied by 1/2.

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Answer:

379-68=p

Step-by-step explanation:

379 is the total number of tissues. If you take away the single pack tissues then you will have the amount of three pack tissues

The correct equation that shows the number of tissue three-packs, p, Johnson's sold in January is, p = 379 - 68.

Use the concept of subtraction defined as:

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that,

At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes.

Here, During January, Johnson's sells a total of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs.

Let us assume that, the number of tissue three-packs = p

Hence we get;

p = 379 - 68

p = 311

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Answer:

THERE ARE x intercepts there 3

Answer:

There are infinitely many solutions. Start with five data, in size order: a < b < c < d < e. Then c=11, the median. To get the mode of 12, we must have d=e=12. Thus far, we have (a+b+11+24)/5 = 10 the mean. But now we have run out of requirements, and we still have two unknowns. They satisfy a+b+35 = 50. Thus, pick any two values a not equal to b that add to 15 and are both less than 11.

The full set of solutions are points (a,b) run along a line joining the points (4,11) and (11,4) on graph paper, except (7.5, 7.5) and the endpoints. That would make competing modes. Try a=5.6 and b = 9.4 for instance!

the answer may be 5,6,12,13,14

its have many answer n this is one of it

i hope it can help u

Answer:

x=6 b=45

Step-by-step explanation:

45=5x-15. 45-15=30. 5x=30. x=6. b=45

The p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

A hypothesis testing method is the Chi-square test. Two popular Chi-square tests involve comparing observed and expected frequencies in one or more categories.

The expected proportions are:

3/7, 3/7, 1/7 respectively

Test stasisttics = 0.978

Df = n -1 = 3 - 1 = 2

P-value = 0.622

Thus, the p-value is 0.622 for the sample of this insect was randomly chosen and it was observed that 42 had black wings, 38 had red wings, and 10 had yellow wings.

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Answer:

Step-by-step explanation:

It is half of equilateral triangle where 2√3 is its hight so:

\(2\sqrt3=\frac{k\sqrt3}2\\\\4\sqrt3=k\sqrt3\\\\k=4\)

Answer:

The words the speaker could use in the blank are...

some text added here for great reasons...

Answer:

43%

Step-by-step explanation:

(40.76 - 28.50) / 28.5 = .43 or 43%

Answer:

41

Step-by-step explanation:

360-(104+104+111)=41

Answer:

255 miles

Step-by-step explanation:

if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.

Answer:

In this equation R would equal 88 because it satisfies the equation.

Step-by-step explanation:

You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.

Hope this helps :)

The answer for the question is D. That is the Pythagorean Theoram

The 98% confidence interval is (433.5866,854.6934)

What is a confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contains the parameter's true value is what is meant by the confidence level.

Given n = 14

Mean x = 644.14

standard deviation is s = 297.29

here α= 0.02

t(α</2,-1) = 2.65

The 98% confidence interval for mean is given by

z = x'- u / α(/√n) = (23-24/5.5/√5) =

x'-u / α(/√n) ≤ µ ≤ x'+u / α(/√n)

⇒(433.5866≤µ≤854.6934)

Hence, The 98% confidence interval is (433.5866,854.6934)

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a) ∠a = 35

b) ∠b = 40

c) ∠c = 35

d) ∠d = 70

e) When we add all the angles together we get an angle of 360°.

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Given, ∠b =  40  

∠d = 70

∠1 = ∠ a

∠2 = ∠c

∠1 = ∠2

So, ∠1 =∠2 = ∠a = ∠c

70 + 40 + ∠a + ∠2 = 180

110 + 2∠a = 180            

2∠a = 180 - 110

∠a = 70/2

∠a = 35

∠1 =∠2 = ∠a = ∠c = 35

When we add all the angles together we get an angle of 360°

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Answer:6x=

2=

X=1.5

Step-by-step explanation: