Seven people, named Anna, Bob, Chandra, Darlene, Ed, Frank, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna is interviewed first, and Darlene is interviewed second?

Answers

Answer 1

Answer:

0.0238

Step-by-step explanation:

Total number of persons to be chosen from = 7

If each person has an equal probability of being selected ;

Number of persons to be selected = 2

Probability = required outcome / Total possible outcomes

P(Anna first) = 1 / 7

Recall; this is a selection without replacement ;

P(Darlene second) = 1 / 6

1/7 * 1/ 6 = 1 / 42 = 0.0238


Related Questions

Simplify
1)a³b⁴/ ab³
2)2 (x³ )²
3)3x*2x³ y²

Answers

Answer:

1) a³b⁴/ ab³ = a²b

2)2 (x³ )² = 2x^6

3)3x*2x³ y² = 6x⁴y²

1. What is the formula for the circumference using the radius below?

Answers

Answer:

The formula for the circumference of a circle is  

2

π

r

so all we have to do is plug in 5 for our radius:  

2

π

(

5

)

which can be simplified to  

10

π

.

Step-by-step explanation:

The hypotenuse of a right triangle measures nem and one of its legs measures o em.
Mnd the measure of the other leg. If necessary, round to the nearest tenth.
Sun
attempt to

Answers

H=11cmB=9cmP=?

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=121-81[/tex]

[tex]\\ \sf\longmapsto P^2=40[/tex]

[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]

[tex]\\ \sf\longmapsto P=6.2cm[/tex]

Step-by-step explanation:

Given,

Hypotenuse = 11 cm

Base (One of the given leg) = 9 cm

Therefore,

According to Pythagoras Theorem,

[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]

[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]

[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]

[tex] = > {height}^{2} = 121 - 81[/tex]

[tex] = > {height}^{2} = 4 0[/tex]

[tex] = > height = \sqrt{40} [/tex]

=> height = 6.3245553203

When rounded to nearest tenth,

=> height = 6.3

Hence,

Required length of other leg is 6.3 (Ans)

What is the answer for 76 = -4b

Answers

Answer:

-19 = b

Step-by-step explanation:

76 = -4b

Divide each side by -4

76/-4 = 4-b/-4

-19 = b

Answer:

b = -19

Step-by-step explanation:

76 = -4b

shift -4 to the left hand side and when you shift -4 divides 76

76/-4 = b

-19 = b

2. Find the measure of angle J.

Answers

Mark Brainliest please

Answer is Angle ∠J = 54.052°

Explanation :

The following is one way to perform the calculation.

Calculating ∠J based on given a, b and c.
∠A = arc cos BC(b2 + c2 - a2 /2bc)

= 0.94338 rad
= 54.052°

Find the value of a. A. 57 B. 104 C. 26 D. 52​

Answers

Answer:

Option D, 52

Answered by GAUTHMATH

hello i need help someone please!!

find the inverse of this relation
h(t) = -6t + 7

Answers

Answer:

73

Step-by-step explanation:

Answer:

[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]

Step-by-step explanation:

let y = h(t) and rearrange making t the subject

y = - 6t + 7 ( add 6t to both sides )

6t + y = 7 ( subtract y from both sides )

6t = 7 - y ( divide both sides by 6 )

t = [tex]\frac{7-y}{6}[/tex]

Change y back into terms of x with t = [tex]h^{-1}[/tex] (t)

[tex]h^{-1}[/tex] (t) = [tex]\frac{7-t}{6}[/tex]

f(x) =-x^2+x+13
find f(9)

Answers

Answer:

f(9) = - 59

Step-by-step explanation:

Substitute x = 9 into f(x) , that is

f(9) = - (9)² + 9 + 13

     = - 81 + 22

    = - 59

Answer:

-59

Step-by-step explanation:

f(x) =-x^2+x+13

Let x = 9

f(9) = - (9)^2 +9+13

       = -81 +9+13

      = -59

Serena hits a tennis ball downward from the top of the net at which the angle of
depression is 20°. If the net is 0.9 m high, how far from the net does the ball land to
the nearest tenth of a metre?

Answers

Answer:

2.5 meter

Step-by-step explanation:

in a right triangle, tan of an angle  = opposite side /adjacent side

tan 70° = x/ 0.9 , multiply both sides by 0.9

0.9 * tan 70° = x, solve on a calculator

x ≈ 2.5 m

The mean of 14 numbers is 49. Removing one of the numbers causes the mean to decrease to 43. What number was removed?

Answers

Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

Please hurry I will mark you brainliest

What is the equation of the line that passes through (3,-1) and is parallel to the line y=3x+2?

Answers

Answer:

y = 3x-10

Step-by-step explanation:

When lines are parallel, they have the same slope

y = 3x+2 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

y = 3x+b

We have a point on the line

-1 = 3(3)+b

-1 = 9+b

-10 = b

y = 3x-10

Working as a team, 8 mathletes can solve 20 problems in 10 minutes. At this same rate, how many mathletes are needed in order to solve 30 problems in 5 minutes?

Answers

Answer:

12 mathletes is needed to solve 30 problems in 5 minutes

Step-by-step explanation:

8 athletes can solve 20 problems in 10 minutes

30-20=10

now we need 10 more problems to be solved so

20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems

Write the equation of the line that is perpendicular to y = 2x + 17 and contains the point (8-1).​

Answers

Answer:

y= -1/2x + 3

Step-by-step explanation:

A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line

so now, plug in the point (8, -1) into the point-slope formula

y-y1=m(x-x1)

y1= -1

x1= 8

m= -1/2

So,

y- -1= -1/2(x-8)

y+1=-1/2x + 4

Subtract 1 from both sides

y=-1/2x+3

Graph the function y= 3/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values.​

Answers

Answer:

(a square +7a+12) ÷(a+3)

Here are two fractions 3/10 and 5/7 work out which one is closer to a 1/2

Answers

Answer:

Therefore 3/10 is closer to ½

Step-by-step explanation:

We've to get the difference:

» with 3/10 :

[tex] \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}[/tex]

» with 5/7

[tex] | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}[/tex]

but:

[tex] \frac{3}{14} > \frac{1}{5} [/tex]

Among both the given fractions, the one that is closer to a ½ is 3/10.

What is a fraction?

A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components.  A correct fraction has a numerator that is lower than its denominator.

Required calculations are done with both the fractions,

1/2 - 3/10 = 1/5

1/2 - 5/7 = 3/14

3/14 ≥ 1/5

Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.

Learn more about fraction from here:

https://brainly.com/question/10354322

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Find the inverse of the given function. f(x) = 7x – 4​

Answers

Hi there!

[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]

f(x) = 7x - 4

Rewrite f(x) with y:

y = 7x - 4

Swap the x and y variables:

x = 7y - 4

Solve for y:

x + 4 = 7y

y = (x + 4)/7


What will be the first term of a geometric series which has its sum 280, common ratio 3 and the last term 189 ?

Answers

Answer:

b1=7

Step-by-step explanation:

If we deal with geometric series, we should use the formulas for it. If there is the last term, it is not infinite geometric series. The sum of geometric series which isn't infinite is equal to b1(r^n-1)/(r-1)   where b1 is the first term and r is the common ratio.

So 280= b1(3^n-1)/(3-1)

560= b1(3^n-1)

560= b1*3^n-b1

Then express bn=b1*r^(n-1)

189= b1*3^(n-1)

189= b1*3^n*1/3

567= b1*3^n when

560= b1*3^n-b1

560=567-b1

b1=7

Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )​

Answers

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

Use the provided graph to write the vertex form equation of the parabola.

Answers

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

25 points, choices in photo
Which of the following accurately shows the first step when solving the following system of equations by substitution?

Answers

I would go with C as a first step

The correct answer is C (that is equating f(x) and g(x))

How to solve a quadratic and linear equation?

A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.

In geometric sense, solving them means finding the point of intersection of curves:

In X-Y plane, these polynomials can be written as:

[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]

Taking the value of y from second equation and substituting it in first equation we get,

[tex]-x^{2} +2x+3=-2x+3[/tex]

Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.

To know more about polynomials refer to:

https://brainly.com/question/9438778

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Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5

O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV​

Answers

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

solve the inequality and graph the solution

-5-7x < -40

Answers

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

1. 42.78 + 19.56
2. 0.0997 + 1.4
3. $62.74 + $1.75 + $12
4. 40.75 – 17. 46
5. 0.95 – 0.68
6. $60 - $31.74
7. 5.4 x 0.07
8. 5.9 x 1.2
9. 0.24 ÷ 0.8
10. 6.56 ÷ 4

Answers

1.  - 62.34

2. - 1.4997

3. - $76.49

4. - 23.29

5. - 0.27

6. - $28.26

7. - 0.378

8. - 7.08

9. - 0.3

10. - 1.64

Answer:

1. 62.34

2. 1.4997

3. $76.49

4. 23.29

5. 0.27

6. $28.26

7. 0.378

8. 7.08

9. 0.3

10. 1.64

What is the solution set of { x | x <-5} n { x | x >5 }? Help needed!

Answers

Answer:

The Empty set............

Answer:

There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.

Step-by-step explanation:

The solution for { x | x <-5} is ---> x < -5

The solution for { x | x >5 } is ---> x > 5

If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.

See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.

Round 4746.13662611 to the nearest whole number.

Answers

Answer:

4746

Step-by-step explanation:

4746 is the answer. since 1(the first number after the point) is less then 5 so we dont need to round the last number (before the point)

What is the value of x?

Answers

answer: 112. ——i think :)

Answer:

x = 46

Step-by-step explanation:

Assuming DE is an angle bisector , then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{HD}{DG}[/tex] = [tex]\frac{EH}{EG}[/tex] , substitute values

[tex]\frac{x+4}{58}[/tex] = [tex]\frac{55}{63.8}[/tex] ( cross- multiply )

63.8(x + 4) = 3190 ( divide both sides by 63.8 )

x + 4 = 50 ( subtract 4 from both sides )

x = 46

Create a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
Create a line through point D perpendicular to .
Find the intersection of line segment and the perpendicular line, and label it point E. With point D as the center, create a circle passing through point E.
Measure and label the radius of the inscribed circle of ΔABC on the diagram.
Take a screenshot of your result, and paste it below.

Answers

The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;

1) Clicking on the Geometry link, under Powerful Math Apps group

2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)

3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created

4) Repeat the above to create the angle bisector of angle ∠B

5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D

6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB

7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E

8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC

9) Select the Segment tool, then select the center of the circle and a point

on the circumference. Click on the label, from the pop up options, select

the label option AA then change the label of the segment created to Radius

and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached

Learn more about GeoGebra hear;

https://brainly.com/question/10400398

Answer:

Step-by-step explanation: from edmentum

PLS HELP ME OB THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

D. Positively skewed

Step-by-step explanation:

I need help plz anyone I don't understand this at all.

Answers

Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

1/4x-2= -6+ 5/12x1/4x-5/12x= -6+23x-5x/12 = -43x-5x= -4×122x= -48x= -48/2x= -24

2. Write an equation that can be used to find M-Angle M. Then Solve it. Round to the nearest degree​

Answers

Answer:

M = sin ^-1 (5/11)

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin M = 5/11

Taking the inverse sin of each side

sin ^-1 sin M = sin ^-1 (5/11)

M = sin ^-1 (5/11)

M=27.03569

To the nearest degree

M = 27

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