Find the value of x and EF. A and B are midpoints.

Complete question:

Joelwants to buy a new tablet computer from a store having a 20% off sale on all tablet. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax.

Answer:

$159.60

Step-by-step explanation:

Given the following :

Sales tax = 5%

Percentage discount = 20%

Original cost = $190

Joel's incorrect expression : 0.95(190)(0.8)

Joel's mistake is the 0.95 which is equivalent to 95% used in Calculating the total cost of the computer. The sales tax increases the total cost of the computer and instead of subtracting 5% sales tax, it should be added.

B.) 20% discount = 0.2 will be deducted from 100%(1)

1 - 0.2 = 0.8

5% sales tax = 0.05 will be added :

1 + 0.05 = 1.05

Original cost = $190

Therefore,

Total cost : Original cost * sales tax * discount

Total cost = $190 * 1.05 * 0.8

Total cost = $159.60

Answer:

b. 3p-2q

Step-by-step explanation:

Let the position vector of P=p

Let the position vector of Q=q

Point R divides segment PQ in ratio 3:2 externally.

[tex]\text{Position Vector of R }=\dfrac{\text{(Position Vector of P)m }-\text{(Position Vector of Q) n}}{m-n}[/tex]

m:n = 3:2

Therefore:

[tex]\text{Position Vector of R }=\dfrac{3p -2q}{3-2}\\=3p-2q[/tex]

Answer:

A.) 25.2

Step-by-step explanation:

Given the following :

Times in first four races :

26.3, 28.4, 25.6 and 29.1

The range of a list of values is the difference between the maximum and minimum value of the list or data.

In her first four races :

Range = 29.1 - 25.6 = 3.5

Value of range in her first four races = 3.5

In other to make the range larger:

Either she has a value less than the least time in her previous four races or she has a value greater than the maximum value of her previous race in her next race.

With a time of 25.2 in her next race : least value in the data will be 25.2

Range = 29.1 - 25.2 = 3.9

With a time of 26.1 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 28.0 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 29.1 in her next race :

Range = 29.1 - 25.6 = 3.5

Answer:

25.2

Step-by-step explanation:

Your friend swims on the school team.

In her first four races, her times are 26.3, 28.4, 25.6, and 29.1 seconds.

Which time listed for her next race would make the range larger?

Answer:

Step-by-step explanation:

Answer:

y=-5x-4

Step-by-step explanation:

y=mx+b

-5=-5m+b

-5=-1+b

b=-4

y=-5x-4

:D

Answer:

4.2 kanban containers required

Step-by-step explanation:

Given the following information :

Waiting time = 0.25 days

Average peocessing time = 0.15 days / container

Daily usage (Demand rate) = 2000 per day

Container capacity = 200 wheels

Policy variable ( Alpha) = 5% = 0.05

Therefore, number of kanban containers needed for the wheels can be calculated using:

(Number of containers(x) * container size) = (Demand rate (waiting time + processing time)*(1 + alpha))

x * 200 = 2000(0.25 + 0.15)*(1 + 0.05)

200x = 2000(0.40)*(1.05)

200x = 840

x = 840 / 200

x = 4.2

4.2 kanban containers required

Answer:

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as [tex] a^3 [/tex] , while surface area of a cube is given as [tex] 6a^2 [/tex]

Where, a = the side length = 5 yards

[tex] Volume = a^3 = 5^3 [/tex]

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 6a^2 = 6(5)^2 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Answer:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

[tex]dh/dt = 1.5t + 4[/tex]

Multiplying both sides by 'dt', we have:

[tex]dh = (1.5t + 4)dt[/tex]

Using the integral in both sides:

[tex]\int dh = \int (1.5t + 4) dt[/tex]

[tex]h = 0.75t^2 + 4t + h(0)[/tex]

[tex]h = 0.75t^2 + 4t + 12[/tex]

So the height after t years is represented by this equation:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = [tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

[tex]V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}[/tex]

V = [tex]3 \frac{3}{4}[/tex]

Hope this helps :)

Answer:

The mean, median, and standard deviation of the University of Oregon are $451.33, $467.5, and $113.61 respectively.

The mean, median, and standard deviation of the University of Washington are $396.67, $380, and $56.27 respectively.

Step-by-step explanation:

We are given that a sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Oregon is: $295, $475, $345, $595, $538, $460.

A second sample of the amount of rent paid for one-bedroom apartments of similar size near the University of Washington is: $495, $422, $370, $333, $370, $390.

Firstly, we will calculate the mean, median, and standard deviation for the data of the University of Oregon.

Arranging the data in ascending order we get;

X = $295, $345, $460, $475, $538, $595.

The mean of the above data is given by the following formula;

                  Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                                   =  [tex]\frac{\$295+ \$345+ \$460+\$475+ \$538+\$595}{6}[/tex]

                                   =  [tex]\frac{\$2708}{6}[/tex]  = $451.33

So, the mean price of rent near the University of Oregon is $451.33.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

                    Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                    Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{\$460 +\$475}{2}[/tex]  = $467.5

Hence, the median price of rent for the University of Oregon is $467.5.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]

                     =  [tex]\sqrt{\frac{ (\$295 - \$451.33)^{2} +(\$345 - \$451.33)^{2} +......+(\$595 - \$451.33)^{2} }{6-1} }[/tex]

                     =  $113.61

So, the standard deviation for the University of Oregon is $113.61.

Now, we will calculate the mean, median, and standard deviation for the data of the University of Washington.

Arranging the data in ascending order we get;

X = $333, $370, $370, $390, $422, $495.

The mean of the above data is given by the following formula;

                  Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                                   =  [tex]\frac{\$333+ \$370+ \$370+\$390+ \$422+\$495}{6}[/tex]

                                   =  [tex]\frac{\$2380}{6}[/tex]  = $396.67

So, the mean price of rent near the University of Washington is $396.67.

For calculating the median, we first have to observe that the number of observations (n) in the data is even or odd.

                    Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                    Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

Here, the number of observations is even, i.e. n = 6.

So,  Median  =  [tex]\frac{(\frac{n}{2} )^{th} \text{ obs. } + (\frac{n}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(\frac{6}{2} )^{th} \text{ obs. } + (\frac{6}{2}+1 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{(3 )^{rd} \text{ obs. } + (4 )^{th} \text{ obs.}}{2}[/tex]

                     =  [tex]\frac{\$370 +\$390}{2}[/tex]  = $380

Hence, the median price of rent for the University of Washington is $380.

Now, the standard deviation is calculated by using the following formula;

         Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }[/tex]

                     =  [tex]\sqrt{\frac{ (\$333 - \$396.67)^{2} +(\$370 - \$396.67)^{2} +......+(\$495 - \$396.67)^{2} }{6-1} }[/tex]

                     =  $56.27

So, the standard deviation for the University of Washington is $56.27.

Answer:

Step-by-step explanation:

El ancho es x, el largo es x+3

El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6

El polinomio sería: P(x)=4x+6

Answer: Vertical Angles are congruent

Answer:

D

Step-by-step explanation:

So that you can have an equation equal to zero to solve for x

The option that correctly describes the graph below is A. Piecewise function.

A piecewise function is a function that reacts in different ways based on the input received at every point in time. This function has different intervals and funtions that apply to the respective domains.

Sometimes, these graphsa re recognized by the three main parts that they have. So, the function that is represented by the graph is the piecewise function.

Learn more about piecewise functions here:

https://brainly.com/question/27262465

#SPJ2

Answer:

y = 61/90

Step-by-step explanation:

7y - 12/5 - y - 2/3 = 1

Combine like terms.

6y -46/15 = 1

Add 46/15 to both sides.

6y = 61/15

Divide both sides by 6.

y = 61/90

Answer:

4y+6

Step-by-step explanation:

Perimeter is adding up the outside

so.. there are y+y = 2y

y+3 + y+3 = 2y+6

2y+6 + 2y = 4y+6

Hope this helps :)

Answer:

£6000

Step-by-step explanation:

3:5:8

3+5+8=16

5-3 =2

Therefore 2=750

Therefore 1=375

16*375=£6000

Answer: (2, 3) and (4,2) are not equal.

Step-by-step explanation:

An ordered pair is something like (x, y)

and two pairs (x1, y1) and (x2, y2) are only equal if x1 = x2 and y1 = y2

in this case, we have (2, 3) and (4, 2)

you can see that in the pairs the value of x is different, and the value of y is also different. Then we have that the pairs can not be equal.

Answer:

2a+2b

Step-by-step explanation:

I am pretty sure that if the length is a and width is b, you would add them twice together. I am actually not quite sure.

Hope this helped you

I am sorry if this was wrong, I am still a beginner at this

Answer:

7/12 ≈ 0.583

Step-by-step explanation:

See picture below. There are 21 totals higher than 6 out of 36 possible outcomes. The probability is therefore 21/36 = 7/12.

Answer: 21/36 or 7/12. = 58.33%

Step-by-step explanation: 36 possible outcomes

Of those, combinations resulting in numbers greater than 6 are:

# | combinations

7 | 6

8 | 5

9 | 4

10 | 3

11 | 2

12 | 1

The sum of those combinations is 21.

So 21/36 = 0.5833

or 7/12 = 58.33%

Answer: Probability = 20/132

Step-by-step explanation: There is no replacement in the box, so, once the marble is taken out, there will be one less inside the bag:

Total = 5 + 4 + 3 = 12

Probability of Blue:

P(b) = 5/12

Probability of Red: Since the blue is already out, total will be one less:

P(r) = 4/11

Probability of taken one and then the other:

P(blue,red) = [tex]\frac{5}{12} . \frac{4}{11}[/tex]

P(blue,red) = [tex]\frac{20}{132}[/tex] ≈ 0.15

The probability of drawing a blue and then a red is 20/132.

Answer:

5/33

Step-by-step explanation:

Answer:

∠ BDG = 148°

Step-by-step explanation:

The tangent- chord angle BDG is half the measure of its intercepted arc DCG

The 2 arcs in the circle sum to 360°, thus

arc DCG = 360° - arc DG = 360° - 64° = 296° , thus

∠ BDG = 0.5 × 296° = 148°

Answer:

240

Step-by-step explanation:

16*8=128

3+3+8=14

14*16=224

224/2=112

112+128=240

240 is the answer

Step-by-step explanation:

area of a rectangle =l*b

8*16=128

area of a triangle =1/2*b*h

1/2*14*16=112

final area=128+112=240

please make me brainliest

Answer:

[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]

When another number is added the mean is 7, let s note x the another number we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]

From the first equation we can say

[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]

So the second equation becomes

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]

The solution is then 2

Hope this helps

Answer:

-12m-6n

Step-by-step explanation:

Let's break this down systematically

Start:

8m + 2n - 4(5m - 2n)

Use the distributive property

8m + 2n - 4(5m - 2n)

8m + 2n - 20m - 8n

Match like terms m and n

8m - 20m = -12m

2n - 8n = -6n

-12m-6n

Answer:

Percentage error is 39.39%

Step-by-step explanation:

It is given that,

The calculated value that Erika spend on school supplies this year is $115.

Actual value that she spent is $82.50.

We need to find Erika's percent of error. Percentage error is given by the formula as follows :

[tex]\%=\dfrac{\text{calculated value}-\text{actual value}}{\text{actual value}}\times 100\\\\\%=\dfrac{115-82.5}{82.5}\times 100\\\\\%=39.39\%[/tex]

So, Erika's percent of error is 39.39%.

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

Please mark brainiest

Answer:

1. A pentagonal Pyramid

2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now

Answer: 756

Step-by-step explanation:

The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.