The stem-and-leaf plot below displays the ages of 30 attorneys at a small law firm.
Stems Attorneys
4 99
5 00112589
6 1234458
7 1233458
8 0137
9 12
What is the age of the oldest attorney? What is the age of the youngest attorney?
A. The oldest attorney is 102 years old. The youngest attorney is 31 years old.
B. The oldest attorney is 91 years old. The youngest attorney is 48 years old.
C. The oldest attorney is 82 years old. The youngest attorney is 59 years old.
D. The oldest attorney is 92 years old. The youngest attorney is 49 years old.

Answer:

B) 25

Step-by-step explanation:

First, you add up all the numbers. Then, you divide it by 9 which is the total amount of numbers there are.

Find the academic calendar, and then answer: How many days after the end of the course are the final grades published? Select one:

a. 12 days

b. 7 days

c. 14 days

d. 3 days

Answer:

7 days

Step-by-step explanation:

Take note that under standard practice and based on the information available that it would take up to 7 days after the end of a course for the final grades to be published.

Thus, the correct option is 7 days.

Answer:

+ square root of 20  ------->     +[tex]\sqrt{20}[/tex]

Step-by-step explanation:

[tex]x^{2}=20[/tex]

[tex]x=\sqrt{20}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Cedric's share=$120

Abel's share=$60

Step-by-step explanation:

Abel will receive half as much as Cedric

Let

Cedric's share=x

Abel's share = 1/2 of x

Total money=$180

x + 1/2x = 180

2x+x/2 =180

3/2x=180

Divide both sides by 3/2

x= 180÷3/2

=180 × 2/3

=360/3

=120

Therefore,

Cedric's share = x = 120

Abel's share=1/2x

=1/2 × 120

=120/2

=60

Cedric's share=$120

Abel's share=$60

Answer:

r = 0

Step-by-step explanation:

To solve this for r, add 20 to both sides.  The result will be -10r = 0, and so

the solution is r = 0.

Answer:

0

Step-by-step explanation:

-10r - 20 = -20

-10r = -20 + 20

-10r = 0

r = 0

The real numbers is one set, and so is the the set of integers since this set is { ..., -3, -2, -1, 0, 1, 2, 3, ...} composed of positive and negative whole numbers, along with 0.

The value -15 is also in the rational set because we can write it as a fraction of two integers:  -15 = -15/1

Answer:

Domain { -5,2,7,-2}

Step-by-step explanation:

The domain is the input values, in this case the x values

Domain { -5,2,7,-2}

Answer:

Option C is the correct option.

Step-by-step explanation:

Domain is the set of all values of x

{( -5 , 6 ) , ( 2 , -8 ) , ( 7 , 12 ) , ( -2 , -8 )

⇒ { - 5 , 2 , 7 , - 2 }

Hope I helped!

Best regards!

Answer:

31120 ounce

Step-by-step explanation:

Answer:31120

Step-by-step explanation:Use google

Answer:

6 inches

Step-by-step explanation:

just make

3 - (-3) = 6

So you will be calculating that distance.

Answer:

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Finding the slope of the line passing through these Points

Slope = [tex] \sf{ \frac{y2 - y1}{x2 - x1} }[/tex]

plug the values

⇒[tex] \sf{ \frac{4 - 1}{2 - ( - 5)} }[/tex]

We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \frac{4 - 1}{2 + 5} }[/tex]

Subtract 1 from 4

⇒[tex] \sf{ \frac{3}{2 + 5} }[/tex]

Add the numbers

⇒[tex] \sf{ \frac{3}{7} }[/tex]

Hope I helped!

Best regards!!

Answer:

7,342

Step-by-step explanation:

In the thousands place, we have 7,000

In the hundreds place, we have 300

In the tens place, we have 40

In the ones place, we have 2

Put them each in their place, you will get 7,342. It's also the same as adding all of them together.

Answer:

7342 is the standard form

Step-by-step explanation:

simple!

7000

 300

    40

+      2

_______

 7432

_______

Hope it helped you! :)

Answer:

The cost of 1 ticket is 15 dollars

Step-by-step explanation:

The rate of change is another word for slope

m = (y2-y1)/(x2-x1)

    = (90-75)/(6-5)

   = 15/1

The cost of 1 ticket is 15 dollars

The rate of change is a ratio that compares the change in y/change in x.

We can see that the y-values increase by 15 each time and

we can see that the x-values increase by 1 each time.

So the change in y/change in x is 15/1.

This means that for every ticket bought, you pay $15.

Answer:

B. 229

Step-by-step explanation:

I solved it by multiplying the 4.02 and 29.92. Then, added the numbers together and rounding the solution to the nearest whole number.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{125 \: {cm}^{2} }}}}}[/tex]

Step-by-step explanation:

Let the width be 'w'

Length of a rectangle = 5w

Perimeter of a rectangle = 60 cm

Area of a rectangle = ?

First, finding the value of width ' w '

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{60 = 2(5w + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{60 = 10w + 2w}[/tex]

Collect like terms

⇒[tex] \sf{60 = 12w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{12w = 60}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12w}{12} = \frac{60}{12} }[/tex]

Calculate

⇒[tex] \sf{w = 5}[/tex] cm

Finding the value of length ( l )

[tex] \sf{length = 5w}[/tex]

Substitute the value of w

⇒[tex] \sf{length = 5 \times 5}[/tex]

⇒[tex] \sf{length = 25 \: cm}[/tex]

Finally, Finding the area of rectangle having length of 25 cm and width of 5 cm

[tex] \boxed{ \sf{area \: of \: a \: rectangle = l \times b}}[/tex]

plug the values

⇒[tex] \sf{area \: = \: 25 \times 5}[/tex]

Multiply the numbers

⇒[tex] \sf{area \: = \: 125 \: {cm}^{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

A

Step-by-step explanation:

11x + 4 < 15 OR 12x - 7 > -25

11x < 11 OR 12x > -18

x < 1 or x > -1.5

The answer is -3/2 < x < 1.

Answer:

There are two types of hypotheses tests. null and alternative

They are complements.

Step-by-step explanation:

There are two types of hypotheses tests. null and alternative

the table shows the summary of both tests.

True Situation                              DECISION

                                  Accept H0             Reject H0

                                                               (or accept Ha)

H0 is true          Correct decision       Wrong Decision

                            (no error)                     type I error          

H0 is false          Wrong Decision           Correct decision

                             type II error                 ( no error)    

The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.

∝ = P ( type I error) = P (reject H0 / H0 is true)

β = P (type II error) = P (accept H0 / H0 is false)

When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.

When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.

Answer:

A rectangle is a two - dimensional shape, so let me explain using it as an example.

The diagonal of a rectangle divides the rectangle into two triangles that are congruent (the same size and shape.)

Another example is parallelogram; the diagonal of a parallelogram also divides the figure into two separate shapes that are congruent.

Hope this helps!

Answer:

v < -7

Step-by-step explanation:

Step 1: Write out equation

-4v - 25 > 2v + 17

Step 2: Add 4v to both sides

-25 > 6v + 17

Step 3: Subtract 17 on both sides

-42 > 6v

Step 3: Divide both sides by 6

-7 > v

Step 4: Rewrite

v < -7

Answer:

Hey there!

Original function: f(x)=-x-3

Substituting -4: f(-4)=4-3

Simplify: f(-4)=1

Let me know if this helps :)

F(x) = -x - 3

F(-4)

Replace x with -4 and solve:

F(-4) = -(-4) -3

-(-4) = positive 4

So you have 4-3

4-3 = 1

F(-4) = 1

Answer:

[tex]\bold{\dfrac{63}{143}}[/tex]

Step-by-step explanation:

Number of Democrats = 6

Number of Republicans = 7

Total number of members = 6+7 = 13

To find:

Probability of selecting two Democrats and two Republicans if 4 members are selected in the committee = ?

Solution:

This is a selection problem.

Total number of ways to select 4 members in the committee out of total 13 = [tex]_{13}C_4 = \dfrac{13\times 12\times 11\times 10}{4\times 3\times 2} = 715[/tex]

Number of ways to select 2 Democrats = [tex]_{6}C_2 = \dfrac{6\times 5}{2} = 15[/tex]

Number of ways to select 2 Republicans = [tex]_{7}C_2 = \dfrac{7\times 6}{2} = 21[/tex]

Number of ways to select 2 Democrats and 2 Republicans = 15 [tex]\times[/tex] 21 = 315

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, required probability:

[tex]\dfrac{315}{715} = \bold{\dfrac{63}{143}}[/tex]

Answer:

  73

Step-by-step explanation:

Let a represent the number of adult tickets sold. Then the total revenue was ...

  8.60a +5.50(131 -a) = 946.80

  8.60a -5.50a +720.50 = 946.80 . . . . eliminate parentheses

  3.10a = 226.30 . . . . . . subtract 720.50, collect terms

  a = 73 . . . . . . . . . . . . . . divide by 3.10

73 adult tickets were sold that day.

Answer:

Step-by-step explanation:

Formula for locating the Median of a grouped data = (N+1)/2 th where

N is the total number of defects.

Total defects = 10+18+13+15+9+12

Total defects = 77

Median value = (77+1)/2 th value

Median value = 78/2 = 39th value.

We will cummulate the frequency (number of defects up to the 38th value) and locate the corresponding observation value.

On cummulating:

10+18+13 = 41

We can see that the value of 38 falls on the third column(13), hence the median will be the equivalent number of observations i.e 3.

Therefore the sample median is 3

Answer:

Step-by-step explanation:

h(x) = x² + 1

k(x) = x - 2

To find (h-k)(3) we must first find (h - k)(x)

To find (h - k)(x) subtract k(x) from h(x)

That's

(h - k)(x) = x² + 1 - ( x - 2)

(h - k)(x) = x² + 1 - x + 2

(h - k)(x) = x² - x + 1 + 2

We have

(h - k)(x) = x² - x + 3

To find (h-k)(3) substitute the value of x that's 3 into (h - k)(x) that's replace every x in (h - k)(x) by 3

We have

(h-k)(3) = (3)² - 3 + 3

= 9 - 3 + 3

= 9 - 0

We have the final answer as

Hope this helps you

Answer:

6

Step-by-step explanation:

Answer:

3,11,13 are the prime numbers.

Answer:

1, 3, 11, 13

Step-by-step explanation:

you can't multiply two numbers to equal them

Answer:

yes at line HE.

Step-by-step explanation:

Plane GFE is the plane that contains face EFGH of the prism.

Plane HBC is the plane that contains face BCEH of the prism.

The two planes do intersect, and their intersection is line HE.

Answer:

4/5 OR -4/5

Step-by-step explanation:

So, area of triangle = 1/2 * base * height

base = 5 (because x-axis is base, x-intercept is -5, so x-length = 5)

height is unknown

area = 10

We can form the equation: 1/2 * 5 * height = 10

Rearrange terms to get: height (y-height) = 10 / (0.5 * 5) = 4

Following the formula for gradient, dif in y / dif in x, we get 4/5

Therefore our gradient is (4/5), or 0.8.

But because we are only told the x-intercept, it can cross the y axis at y = 4 or y = -4. So there are actually 2 possible gradients, 4/5 and -4/5

Answer:

The width is 4 inches

The length is 11 inches

Step-by-step explanation:

Let the width  be x inches

Let the length be (2x+3 )inches

Perimeter= 30 inches

therefore, 2(length +breadth)= perimeter

        =>2(2x+3+x)=30

        =>2(3x+3)=30

         =>6x+6=30

          =>6x=30-6

          =>6x=24

           =>x=24/6

           =>x=4

The width is 4 inches

The length is 11 inches  

To solve this question:

Doing this, we get that the length of the painting is: 11 inches.

Perimeter of a rectangle:

The perimeter of a polygon is the sum of it's sides.

For a rectangle, as the one given in the picture at the end of this answer, which is of the format of the painting, the perimeter is given by:

[tex]P = 2l + 2w[/tex]

Lisa is framing a rectangular painting the length is three more than twice the width.

This means that:

[tex]l = 3 + 2w[/tex]

Since we want to solve for the length, we write the width as a function of the length, thus:

[tex]2w = l - 3[/tex]

She uses 30 inches of framing material

This means that the perimeter is of 30 inches, that is:

[tex]2l + 2w = 30[/tex]

Since [tex]2w = l - 3[/tex]

[tex]2l + l - 3 = 30[/tex]

[tex]3l = 33[/tex]

[tex]l = \frac{33}{3}[/tex]

[tex]l = 11[/tex]

Thus, the length of the painting is of 11 inches.

A similar question is found at https://brainly.com/question/21894434

Answer:

A. No, because the probability of success does not remain the same in all trials.

Step-by-step explanation:

In this procedure the number of televisions could vary in each house. Some people have one , two, even three or some may not have any. So the number of successes in each trial varies as the number of televisions varies.

Therefore, it is not a binomial distribution. It is necessary that for a binomial distribution the probability of success for each trial remains fixed.