please help! thanks!

Answer:

D: The median of Box B is greater than the median of Box A.

Step-by-step explanation:

edg2020

The median of Box B is greater than the median of Box A. Then the correct option is D.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean is given as the ratio of the sum of the observation and the number of the observation.

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

The mean of Box A will be

⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10

⇒ 29.3

The mean of Box B will be

⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10

⇒ 29.3

The median of Box A will be

⇒ 25

The median of Box B will be

⇒ 30

The median of Box B is greater than the median of Box A.

Then the correct option is D.

More about the mean link is given below.https://brainly.com/question/521501

#SPJ2

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

Answer:

.45

$0.45

45%

45/100

Step-by-step explanation:

Answer:

The value of x + y is   -16.

Step-by-step explanation:

If each term is calculated by multiplying the previous one times 5 and then subtracting 20 from that result, then we can use that information to relate the first term (x) and the second one (0).

Following the info above, the following equation applies:

0 = 5 x - 20

then we solve for x:

5x = 20

x = 20/5

x = 4

Now we do the same study relating the second term (0) and the third one (y):

y = 5 (0) - 20

y = -20

Now that we have the value for both unknowns, we can estimate what they ask you: The value of x + y:

x + y = 4 + (-20) = 4 - 20 = -16

Answer:

the k value is 6

Step-by-step explanation:

The form of a qruadratic equation is f(x)=a(x-h)^2 + k, so by comparing this to the function f(x)=-18(x-2)^2 + 6  we can see that K = 6, a = -18,and h = 2.

Answer:

4x + 6

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]

Multiply the numerator / denominator of the second fraction by (x + 2)

= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator

Add the numerators leaving the denominators

= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]

= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]

= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6

Answer:

P = 11/135 = 0.0815

Step-by-step explanation:

we can said that:

So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:

14 + 18 + 21 + 22 + 14 + 16 + 19 = 124

Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:

P = 11/135 = 0.0815

Answer:

0.0815

Step-by-step explanation:

Answer:

The third choice is correct

Step-by-step explanation:

Domain > or equal to -3, and range is less than or equal to -2

Answer: A) 20.9 ; B) 34years

Step-by-step explanation:

Given the following :

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

A)

MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY

F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11

MEAN(X) = 230 / 11

X = 20.9

B)

WHEN A NEW PLAYER WAS ADDED :

MEAN (X) = 22

Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

Answer: 2(n - 12)

n is “the number”

Step-by-step explanation:

Hope that helps :D

Answer:

2(n - 12)

Step-by-step explanation:

Answer:

Mean: 12.9

Standard deviation: 14.8

Step-by-step explanation:

The mean is calculated adding all of the values and dividing by the number of elements:

[tex]m=\frac{2+3+7+12+1+4+27+49+11}{9}=\frac{116}{9}=12.9[/tex]

to find the standard deviation, we first find the variance (which is defined as the sum of all the elements subtracting the mean and squared and then dividing by the total amount of elements):

[tex]v=\frac{(2-12.9)^2+(3-12.9)^2+(7-12.9)^2+(12-12.9)^2+(1-12.9)^2+(4-12.9)^2+(27-12.9)^2+(49-12.9)^2+(11-12.9)^2}{9}\\[/tex]

[tex]v=\frac{1978.89}{9}\\[/tex]

[tex]v=219.88[/tex]

Noe that we have the variance, we can calculate the standard deviation.

The stardard deviation is defined as the squared root of the variance:

[tex]standardDeviation=\sqrt{v}[/tex]

we substitute the variance:

[tex]standardDeviation=\sqrt{219.88} \\standardDeviation=14.8[/tex]

Thus, the answer is:

Mean: 12.9

Standard deviation: 14.8

Answer:

A.) It is not in standard form because the degree of the first term is not greater than six.

Step-by-step explanation:

Answer:

x = ±2.24

Step-by-step explanation:

16x² - 80 = 0

16x² = 80 (Add 80)

x² = 5 (Divide by 16)

x = ±√5 (Square root both sides)

≈ 2.24, -2.24

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

To solve, you can use the quadratic formula.

The guy above is correct.

Hope this helps!

Answer:

Slope = [tex]-\frac{3}{4}[/tex]

y-intercept = 2

Equation of the line 't': [tex]y=-\frac{3}{4}x+2[/tex]

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since line 't' is passing through two points (0, 2) and (8, -4),

Slope of the line 't' = [tex]\frac{2+4}{0-8}[/tex]

                           m = [tex]-\frac{6}{8}[/tex]

                           m = [tex]-\frac{3}{4}[/tex]

Since y-intercept of a line is the value of 'y' for x = 0 [from point (0, 2) lying on this line]

Therefore, Y-intercept of line 't' = 2

Slope intercept of an equation is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line 't' will be,

[tex]y=-\frac{3}{4}x+2[/tex]

Answer:

C. 2/15

Step-by-step explanation:

So since 5 eggs weigh 2/3 of a pound, you have to divide 2/3 by 5 to find how much each egg weighs.

2/3/5 is the same as multiplying 2/3 by 1/5.

This gives you 2/15.

Answer:

Last option is the correct choice.

Step-by-step explanation:

Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]

Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]

Lines A and B intersect, because their slopes have no relationship.

Best Regards!

Lines A and Line B intersect, because their slopes have no relationship.

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given,

Line A passes through the points (-8, 5) and (-5, 4)

Let

x₁ = -8, y₁ = 5

x₂ = -5, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in formula

m₁ = (4 - 5)/(-5 - (-8))

m₁ = (4 - 5)/(-5 + 8)

m₁ = -1/3

So, the slope of the line A is -1/3

Line B passes through the points (0, 1) and (4, -1).

m₂ = (-1 - 1)/(4 - 0)

m₂ = (-2)/(4)

m₂ = -1/2

So, the slope of the line B is -1/2

Hence, Lines A and Line B intersect, because their slopes have no relationship.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]

Next, we determine the value of Angle B.

[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]

Finally, we find b.

[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]

The distance between the small plane and the observation tower is 7.9km.

Answer:

x = 9

Step-by-step explanation:

Step 1: Look at graph

You can see that both ∠B's are the same. Therefore, both side lengths AD and CD are the same

Step 2: Set equations equal to each other

3x = 2x + 9

Step 3: Solve

x = 9

And we have our answer!

Answer:

9

Step-by-step explanation:

Answer:

The answer is -5 + (-3).

Step-by-step explanation:

"The diver descends" is a clue that the position of the diver is even lower than before.

Answer:

A

Step-by-step explanation:

Answer:

1. 343^2/3 = 49

2. (2197^1/3)² = 169

3. 729^2/3 = 81

4. (1000²)^1/3 = 100

5. (³√9261)² = 441

6. ³√216² = 36

Hope this helps.

Answer: x + 12.7 = -25.2 ✓given

x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality

x + 0 = -37.9 ✓ Additive inverse and simplification

x = -37.9 ✓ Identity property

Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?

Answer: i hope this helps (answer is down below)

Step-by-step explanation:

Area goes to square meters

speed goes to meters per second

volume goes to cubic centimetres

perimeter goes to meters

Answer:

Step-by-step explanation:

I THINK IT C

The set the describes the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

In this case, the domain represents the set of hours he is permitted to work

From the question, we understand that he cannot work more than 60 hours

This means that, the least number of hours to work is 0, and the highest is 60

So, the domain is 0 to 60

When represented properly, the domain of P(h) is (b)  {h| 0 ≤ h ≤ 60}

Read more about domain at:

https://brainly.com/question/1770447

#SPJ2

Answer:

Step-by-step explanation:

Since the figure is symmetrical, angle MOA will be half of angle BOA, so will be 130°/2 = 65°. The tangent ratio is useful here. It tells you ...

  tan(MOA) = MA/OA

  AM = OA·tan(MOA) = 6·tan(65°)

  AM ≈ 12.87 . . . cm

__

Similarly, ...

  CM = 4·tan(65°)

  CM ≈ 8.578 . . . cm

__

The cosine ratio is useful for finding OD.

  cos(MOA) = OA/OM

  OM = OA/cos(MOA) = 6/cos(65°)

Similarly, ...

  DM = 4/cos(65°)

The length we want is OD, so ...

  OD = OM +DM = 6/cos(65°) +4/cos(65°) = 10/cos(65°)

  OD ≈ 23.66 . . . cm

Answer:

Brian = 55

Son = 29

Step-by-step explanation:

Let the ages of Brian and his son be

x +26 and x

Given that :

x + x + 26 = 84

2x + 26 = 84

2x = 58

x = 29.

We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55

Hope this helps.

Good Luck

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete answer.

A given line has the equation 2x + 12y = −1.

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

General formula of equation of a line is exspressed as y = mx+c

m = gradient or slope  

c = intercept

Step 1: we need to first get the slope of the given equation of a line by rewriting the equation in standard form y = mx+c

2x + 12y = −1

12y = -1-2x

y = -1/12-2x/12

y = -1/6 x - 1/12

From the equation above, it can be seen that the slope (m) of tghe line is -1/6.

Since both lines are perpendicular, the slope of the unknown line will be;

M = -1/m

M = -1/(-1/6)

M = 6

Step 2: We will find the intercept c by substituting the point (0,9) and the slope into the equation y = mx+c

9 = 6(0)+ c

c = 9

Stwp 3: We will find the equation of the line perpendicular to the given line by substituting the value of m and c into the equation y = mx+c

y = 6x+9

y-6x = 9

The equation in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9) is y-6x = 9

Answer:

y-6x=9

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

[tex]-4^{-2}[/tex] = [tex]\frac{1}{-16}[/tex]

The multiplicative inverse is basically the opposite reciprocal.

In this case, it is 16

[tex]16 = 4^2[/tex]

Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]

Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]

[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]

[tex]\sigma^2=\frac{7610}{11}[/tex]

[tex]\sigma^2=691.81[/tex]

Hence the variance rounded to the nearest tenth is 691.8