What is the mode for the set of data shown below?
14, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
A. 14
B. 28
C. 95
D. 32

Answer:

The numbers are 11 and -4

Step-by-step explanation:

Given

Let the two numbers be [tex]x[/tex] and [tex]y[/tex]

such that:

[tex]x + y = 7[/tex]

[tex]x*y = -44[/tex]

Required

Find x and y

Make y the subject in: [tex]x + y = 7[/tex]

[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] in [tex]x*y = -44[/tex]

[tex]x(7-x) = -44[/tex]

Open bracket

[tex]-x^2 +7x = -44[/tex]

Rewrite as:

[tex]x^2 -7x -44=0[/tex]

Expand

[tex]x^2 +4x-11x -44=0[/tex]

Factorize

[tex]x(x +4)-11(x +4)=0[/tex]

Factor out x + 4

[tex](x -11)(x +4)=0[/tex]

Solve for x

[tex]x =11; x =-4[/tex]

Recall that:

[tex]y = 7 - x[/tex]

So:

[tex]y = 7-11 = -4[/tex]

or

[tex]y = 7--4 = 11[/tex]

Answer:

315 yd cubed

Step-by-step explanation:

To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.

[tex]\frac{1}{3} (B * H )[/tex]

To get the base, we multiply the length by the width.

21 * 9 = 189

189 * 5 = 945

945 divided by 3 = 315

Answer:

Let's find the base area:

21 x 9 = 189

Now let's multiply the base area by the height:

189 x 5 = 945

Now let's divide by 3( x 1/3 ):

945 divided by 3(x 1/3) = 315 yd^3 is your answer

Step-by-step explanation:

Formula area of a rectangular Pyramid(just like any other pyramid):

BH x 1/3

To find base we multiply length by width just using the basic formula of finding area of a rectangle.

Then we multiply our base area by our height.

One we've done that we now divide by 3(multiplying by 1/3)

Answer:

the answer is c

Step-by-step explanation:

(1-cosb²)/sinx²

Answer:

B) $9

Step-by-step explanation:

5% can also be written as 0.05

Dividing a percentage by 100 gives you decimal form.

The question is asking for the amount of commission earned, not the total amount. This means that all we have to do is do:

$180 x 0.05 = $9

Answer:

w < 3.3

C) w < 3.3

D) w < 3.3

Answer:   [tex]w \le 3.3[/tex]

=====================================================

Explanation:

w is the weight and it may be no more than 3.3 pounds. This is the same as saying that 3.3 pounds is the highest it can go. Think of it as the ceiling.

w = 3.3 is possible or anything smaller than it is possible.

So w is 3.3 or smaller meaning we write the inequality [tex]w \le 3.3[/tex]

The answer is not w < 3.3 because that would exclude 3.3 itself.

The answer is between choices C and D. It seems like one of those inequality signs should have an underline.

Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150

150 ÷ 7= 21.4285 = 21

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

2(3x + 1) + 5x + 9 - 2x - 3

⇒ 6x + 2 + 5x + 9 - 2x - 3

⇒ 9x + 8

Algebra

2(3x+1)=6x+2

Then combine like terms.

6x+2+5x+9-2x-3

9x+8

Answer:inconsistent

Step-by-step explanation:

there is no explanation its just vocab

Answer:

a) 90°

b) 90° - 35° = 55°

c) 65° - 40° = 25°

d) 90° - 65° = 25°

e) 180° - 65° = 115°

f) 180° - 35° = 145°

g) 180° - 40° = 140°

h) 65° + 35° = 100°

180° - 100° = 80°

i) 90° - 40° = 50°

j) 35° + 40° = 75°

180° - 75° = 105°

(the answer is written in bold)

Answer:

the median is 12

the mean is 11.16

I believe the answer is:

Median: 12 hours

Mean: 11.2 hours

Hope this helps! :D

Answer:

The game ended at 1:24 p.m.

Step-by-step explanation:

9514 1404 393

Answer:

  20 = 2 + (7 -4) × 6

Step-by-step explanation:

The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.

If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.

We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).

Our final expression is chosen to be ...

  20 = 2 +(7 -4)×6

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

Answer:

the second one

Step-by-step explanation:

y is postitive when x <  -1 and x > 3, but y is decreasing only when x < 1 so the case where both are true is when x < -1   option 2

Answer:

[tex]y=2\sin(x)-1[/tex]

Step-by-step explanation:

Let's break it down:

In the sinusoidal function [tex]y=a\sin b(x-c)+d[/tex]:

To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.

To find [tex]b[/tex], use [tex]T=\frac{2\pi}{b}[/tex], where [tex]T[/tex] is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is [tex]2\pi[/tex] and therefore

[tex]2\pi=\frac{2\pi}{b},\\b=\frac{2\pi}{2\pi}=1[/tex].

To find Phase Shift, find the horizontal shift from the parent function [tex]y=\sin x[/tex]. In this case, there is no phase shift.

To find Vertical Shift, find the vertical shift from the parent function [tex]y=\sin x[/tex]. In this case, vertical shift is -1.

Thus, we've found:

Substituting these values into [tex]y=a\sin b(x-c)+d[/tex] , we get:

[tex]y=2\sin 1(x-0)-1=\boxed{y=2\sin(x)-1}[/tex]

Answer:

Step-by-step explanation:

3*2t

substitute the value of t

=3*2*4

=24

Answer:

24

Step-by-step explanation:

so you do

3x 2(4) subsuite the t for the 4

then  do 2*4= 8

then d0 3x8= 24

Answer:

.077

.64935

Step-by-step explanation:

Let F= failure

let S= severe

we are given that

p(F|S')= .03

p(F|S)= .5

For the first question we are looking for f

we can solve for it by using the law of total probability

so in theory we want

F∩S+F∩S'

Using the conditional probability formula we can solve for the intersections

.03*.9+.5*.1= .077

2.

For this question we are looking for S|F

to solve this use bayes thereom

[tex]S|F=\frac{F|S*S}{F|S*S+F|N*N}=\frac{.5*.1}{.5*.1+.9*.03}=.649[/tex] (or 50/77)

Answer:

the answer for this is C.

Step-by-step explanation:

quotient is the number gotten by dividing a number by another.this is why it is C.

Answer:

I think he can line them up a total of 6 times?

Answer:

6

Step-by-step explanation:

Answer:

628.3 cm

Step-by-step explanation:

The window has a semicircle shape = half of a circle

Perimeter of the window = ½(πr²)

Radius (r) = 20 cm

Plug in the value

Perimeter of the window = ½(π*20²)

= ½(π*400)

Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)

Taxi Word Problem

C = 3.50 + .50m + 3

C = 3.50 + .50(13) + 3

C = 3.50 + 6.50 + 3

C = 13

The total cost will be $13.00

Rock Climbing Word Problem

Trina: 5 + 3.25h = 21.25

Now, subtract 5 from both sides.

3.25h = 16.25

Now, divide both sides by 3.25.

h = 5

Trina spent 5 hours at the facility.

Ralph: 21.25 - 5/ 3.25 = h

Subtract 5 from 21.25

16.25/ 3.25 = h

Now divide

5 = h

Ralph will spend 5 hours at the facility to spend the same amount as Trina.

I hope I helped you in time! Good Luck!!

Answer:

18

Step-by-step explanation:

21 = 3 x 7

12 = 2 x 6

4 = 2 x 7

( 21 x 12 ) / 14

= ( 3 x 7 x 2 x 6 ) / ( 2 x 7 )

= 3 x 6

= 18

Answer:

18

Step-by-step explanation:

See image attached for guide

21 x 1 2/14

Make 1 2/14 an improper fraction, add the denominator 1 under 21:

21/1 x 16/14

Multiply numerator x numerator, do the same for denominator:

21 x 16= 336

1 x 14 = 14

336/14

Simplify:

336/14 = 24

Hope this helps

Answer:

8

Step-by-step explanation:

f(x) = (-x)^3

Let x = -2

f(-2) = (- -2)^3

        = (2)^3

        = 8

Answer:

Quadrant IV shows the roller coaster.

Step-by-step explanation:

Since you see R in quadrant 4, which has the coordinates 1,-6, it is in the 4th quadrant, or Quadrant IV.

Answer:

=5

Step-by-step explanation:

perimeter= 2(L)+2(W)

11 =2(1/2)+2W

11=1+2W

11-1=2W

10=2W

Both sides divided by 2

therefore The width is 5

Answer:

yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Step-by-step explanation:

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.  

The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Option (B) is correct.

It is required to find  the appropriate to model the distribution of the sample.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.

Given that:

A local steakhouse served 625 customers over a weekend.

The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n &gt; 30, the distribution of the sample mean can be modeled by a normal distribution.

So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Learn more about arithmetic here:

https://brainly.com/question/23907399

#SPJ2

Answer:

6x²+4x

Step-by-step explanation:

The given expressions are 3x²- 4x-4 and 3x²+8x+4.

We need to add these two expressions.

3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4

= 6x²+4x

On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x