1. Find the value of the expression.
7755 • 21

Answer:

Hey there!

First, I converted 8 feet to inches. I knew that 12 inches were in a foot, so 96 inches are in 8 feet. If the water rises at 8 inches per hour, at the end of 6 hours, the water will rise 48 inches. Finally, subtracting 48 from 96, we get that there are 48 inches of rope above the water's surface.

Let me know if this helps :)

Answer:

Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Step-by-step explanation:

Given that;

q = 720/p - 1 million units per year { 60 ≤ p ≤ 400 }

supply q = 0.018p − 1 million units per year (60 ≤ p ≤ 400)

we substitute

720/p - 1  = 0.018p − 1

720/p = 0.018p

720 = 0.018p^2

p^2 = 720/0.018 = 40000

p = sqrt(40000)

p = 200

substitute value of p

q = 0.018(200) − 1

q = 3.6 - 1 = 2.6

Therefore Equilibrium price P = 200 dollars

equilibrium demand of million e-readers per yer = 2.6 mi/yr

Answer:

1. [tex] \boxed{ \boxed{ \sf{mean = 10}}}[/tex]

2. [tex] \boxed{ \boxed{ \sf{median = 10.5}}}[/tex]

3. [tex] \boxed{ \boxed{ \sf{mode = 11}}}[/tex]

4. [tex] \boxed{ \boxed{ \sf{range = 16}}}[/tex]

Step-by-step explanation:

1. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18

Σx = 2 + 3 + 5 + 7 + 8 + 10 + 11 + 11 + 13 + 15 + 17 + 18 = 120

N ( total number of items ) = 12

Finding the mean

To find the mean, divide the sum of all the items by the number of items.

[tex] \boxed{ \sf{mean = \frac{Σx}{N} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = \frac{120}{12} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = 10}}[/tex]

Mean = 10

----------------------------------------------------------

2. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18

N ( total number of items ) = 12

Finding the position of median

[tex] \boxed{ \sf{median = { \frac{n + 1}{2} }^{th \: item}}} [/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{12 + 1}{2}) }^{th \: } item}}[/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{13}{2}) }^{th \: }item }}[/tex]

[tex] \dashrightarrow{ \sf{median = {6.5}^{th \: }}} [/tex] item

[tex] \sf{ {6.5}^{th} }[/tex] item is the average of 6 th and 7 th items.

[tex] \sf{∴ \: median = \frac{ {6}^{th}item + {7}^{th} item}{2}} [/tex]

[tex] \dashrightarrow{ \sf{median = \frac{10 + 11}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{median = \frac{21}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{median = 10.5}}[/tex]

Median = 10.5

-----------------------------------------------------------

3. The mode of a set of data is the value with the highest frequency.

Given data : 2, 3, 5, 7, 8, 10, 11, 11, 13, 15, 17, 18

Here, 11 has the highest frequency.

So, Mode = 11

----------------------------------------------------------

4. Highest number = 18

Lowest number = 2

[tex] \boxed{ \sf{range = highest \: number - lowest \: number}}[/tex]

[tex] \dashrightarrow{ \sf{range = 18 - 2}}[/tex]

[tex] \dashrightarrow{ \sf{range = 16}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

Given the following scores 3, 7 and 2, we are to find the expression Σ2X-2 and Σ(X-1)²

The value of X's are 3, 7 and 2. Substituting the values we will have;

Σ2X-2 = [2(3)+2(7)+2(2)] - 2

Σ2X-2 = (6+14+4) - 2

Σ2X-2  = 24-2

Σ2X-2  = 22

For  Σ(X-1)²

Σ(X-1)² = (3-1)²+ (7-1)² + (2-1)²

Σ(X-1)² = 2²+6²+1²

Σ(X-1)² = 4+ 36+1

Σ(X-1)² = 41

Σ2X  - 2 = 22 , Σ( X - 1 )^2 = 41

Given : X = 3 , 7 , 2

Σ2X is calculated in the image = 24

Σ2X  - 2 = 24 - 2 = 22

Σ( X - 1 )^2 calculation is shown, it is = 41

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Answer:

7x + 13y [tex]\leq[/tex] $81

Step-by-step explanation:

The inequality that represents the situation given will be  7x + 13y ≤ 81.

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Answer:

by answering others ppl questions

Answer:

you make points by answering to others peoples questions. :)

Answer:

56.077

Step-by-step explanation:

Answer:

56.077

Step-by-step explanation:

i did it in my caculator lol :)

Answer:

2(z+3)

Step-by-step explanation:

2z+6

take out the 2: 2(z+3)

Answer:

16.5

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x+1.5[/tex]

To find f(2.5), substitute 2.5 for x. Thus:

[tex]f(2.5)=6(2.5)+1.5[/tex]

Multiply:

[tex]f(2.5)=15+1.5[/tex]

Add:

[tex]f(2.5)=16.5[/tex]

And we're done!

Answer:

15.25 hours atleast.

Step-by-step explanation:

First  rewrite the expression so it helps us find the answer.

4(h+11)-15=90

Distribute -> Substract from both sides -> Divide 61/4

[tex]4(h+11)-15=90\\4h+44-15=90\\4h+29=90\\4h=61\\61/4= 15.25h[/tex]

Answer: False

Step-by-step explanation: A linear correlation scatter plot is one which is aimed at establishing a graphical view of the relationship between two quantitative variables. A linear correlation scatter plot could either be positive which is depicted by a positive gradient which infers direct proportionality, this means an increase in variable A results in increase in variable B while a decrease in variable A results in decrease in variable B. Similarly, it could also exhibit a negative gradient which infers a inverse proportionality meaning a decrease in one variable leads to increase of the other and vice-versa. Hence, a linear scatterplot does not only exhibit direct proportionality.

Answer:

the area is 9in^3

Step-by-step explanation:

the formula for area of a triangle is 1/2bh, so it's 1/2 x 7.2 x 2.5

Answer:

False because the vertical intercept is not always a snap point.

Step-by-step explanation:

In a line graph, the vertical intercept of a line will not always be a point snap. This is because snap points rest on nodes and are used to define boundary or shape of objects in a line graph. So in a case whereby the intercept of the line doesn't rest on a node that defines the boundary or shape of the object, then the vertical intercept may not be a snap point.

False

A vertical intercept is a point where a line crosses the vertical axis, or [tex]\boldsymbol{y-}[/tex]axis.

The vertical intercept of a line in a line graph is not always a snap point. Snap points are used to define the boundary or shape of objects in a line graph, rely on nodes. In the event when the line's intercept does not rest on a node that defines the object's boundary or shape, the vertical intercept may not be a snap point.

False, the vertical intercept of the line may not always be a snap point.

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Answer:

10 cm³

Step-by-step explanation:

Volume of a cube = (Side)³

Volume of bigger cube = (12)³

                                           (12)³ = 1728 cm³

Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728

(x)³ = 1728 - (6)³ - (8)³

(x)³ = 1000

x = ∛1000

x = 10 cm³

Answer:

70.833333

Step-by-step explanation:

Divide 425 by 6

Step-by-step explanation:

drugs dgxln fix ezutxohcpuvpucitzkyxoh pi

Answer: The number is -9/7  

Step-by-step explanation:

The statement can be expressed by the equation

7(n + 2) = 5       where n is the number

Now solve for n

7(n+2) = 5   distribute on the left side

7n + 14 = 5

      -14    -14

7n = - 9

n = -9 /7

Answer:

the answer is angle addition postulate

Step-by-step explanation:

Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.

The given diagram as shown in the image attached below alongside the proof of x = 30.

T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.

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Step-by-step explanation:

[tex] \\ 8 \times 5 = 40 \\ 40 = 4 \times 10 \\ \\ 8 \times 5 = 4 \times 10[/tex]

Answer:

12 hours 50 minutes

Step-by-step explanation:

8:40 pm to 9:30 am

8:40 pm to 8:40 am = 12 hours

8:40 am to 9:30 am = 50 minutes

The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes

What is an Interval?

An interval is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.

Given data ,

Let the interval be denoted as [ a , b ] , where a is the start point and b is the final point

Now ,

a = 8:40 pm

b = 9:30 am

The interval can be calculated by ( b - a )

8:40 pm → 8:40 am = 12 hours

8:40 am → 9:30 am = 50 minutes

Therefore , total interval = 12 hours and 50 minutes

Hence , The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes

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Answer:

-5

Step-by-step explanation:

or, f(x) = -x^2+10x+16

or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)

=49-70+16

=65-70

=-5

Answer:

y - 4 = 4(x - 2)

Step-by-step explanation:

Please write these points as (2, 4) and (3, 8) (use commas and parentheses).

As we move from (2, 4) to (3, 8), x increases by 1 and y increases by 4.  Thus, the slope is m = rise/run = 4/1 = 4

and the equation of the line through these two points (in point-slope form) is

y - 4 = 4(x - 2)

The slope of the line that passes through the point (2 4) and (3 8) is​ 4

The formula for calculating the equation of a line passing through the point (x1, y1) and (x2, y2) is expressed using the formula:

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

Given the coordinate points (2 4) and (3 8), the slope is expressed as:

[tex]m=\frac{8-4}{3-2}\\m=\frac{4}{1}\\m = 4[/tex]

Hence the slope of the line that passes through the point (2 4) and (3 8) is​ 4

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Answer:

So theres 13 cards of heart and diamond

so 26 cards out of 52,

26/52

Answer: x = 10

Step-by-step explanation: You add 3 + 7 which equals 10. 10 minus 3 is 7.

Answer:

5/3 does'nt belong.

Step-by-step explanation:

think about it.

33% = 1/3 = .6666666 they are all the same. 5/3 doesnt belong

The number 5/3 does not belong.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given number:

33%

Now, we can write the percentage as

33/100

≈1/3

on converting the fraction in decimal

=0.666...

Hence, the which does not belong this pattern is 5/3.

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Answer:

just do it on ur caslc im pretty sure it would work

Step-by-step explanation:

Answer:

aef = fed = 51 degrees,

and the full angle aed = 102 degrees

Step-by-step explanation:

If ef bisects the angle aed, then the two angles it defines: aef and fed, must measure the same.

Therefore we can asume that aef = fed which numerically means:

4 x + 3 = 7 x - 33

so we solve for x:

33 + 3 = 7 x - 4 x

36 = 3 x

x = 36/3

x = 12 degrees

That means that the half angle aef measures:

aef = 4 x + 3 = 4 (12) + 3 = 48 + 3 = 51 degrees

Then we have that aef = fed = 51 degrees,

and the full angle aed = 51 + 51 = 102 degrees

Answer:

5, 1, 5, 1.

Step-by-step explanation:

take it one step at a time.

for the first one f(g(1))

first do whats inside of the parenthesis.

> g(1), go to g(x) graph, go to x= 1 and your y-value is your new value (3)

> your new equation is now f(3)

→ go to f(x) graph, go to x= 3, your y-value is 5. Your final answer is 5.