Determine the value of x.
4x + 20% 2x + 60%
(A) X= 10°
(B) x = 20°
(C) X= 30°
(D) x = 40°

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together

Question:

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.

Answer:

(a)

[tex]Mean = 4[/tex]

[tex]Median=3[/tex]

[tex]Mean > Median[/tex]

(b)

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

[tex]SD> IQR[/tex]

Step-by-step explanation:

Given:

Data: 4, 1, 3, 10, 2.

Solving (a): The mean and the Median

The mean is calculated as follows:

[tex]Mean = \frac{1}{n} \sum x[/tex]

Where

[tex]n = 5[/tex] i.e 5 data

So, the expression becomes:

[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]

[tex]Mean = \frac{1}{5}(20)[/tex]

[tex]Mean = 4[/tex]

Calculating the Median:

First, arrange the order (ascending order):

[tex]Data: 1, 2,3,4,10[/tex]

Because n is odd

The median is represented as:

[tex]Median = (\frac{n+1}{2})th\ item[/tex]

[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]

[tex]Median = (\frac{6}{2})th\ item[/tex]

[tex]Median = 3rd\ item[/tex]

From the arranged data, the 3rd item is 3.

Hence:

[tex]Median=3[/tex]

By comparison, the mean is greater than the median because [tex]4 > 3[/tex]

Solving (b): Standard Deviation and IQR

The standard deviation is calculated as follows:

[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]

So, we have:

[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]

[tex]SD= \sqrt{\frac{50}{5}[/tex]

[tex]SD= \sqrt{10}[/tex]

[tex]SD = 3.2[/tex]

Calculating IQR

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Data: 1, 2,3,4,10[/tex]

In (a), we calculate the median as:

[tex]Median=3[/tex]

First, we calculate [tex]Q_1[/tex]

[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]

The first half is:

[tex]First\ Half = 1,2,3[/tex]

So:

[tex]Q_1 = 2[/tex]

First, we calculate [tex]Q_3[/tex]

[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]

[tex]Second\ Half = 3,4,10[/tex]

So:

[tex]Q_3 = 4[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 4 - 2[/tex]

[tex]IQR = 2[/tex]

So, we have:

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

By comparison, the standard deviation is greater than the IQR because:

[tex]3.2 > 2[/tex]

So,

[tex]SD> IQR[/tex]

____________________________

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

____________________________

Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

Answer:

$72

Step-by-step explanation:

$768/265 = $3

$3 x 24 = $72

Answer:

$72

Step-by-step explanation:

768/256 = how much each hot dog was sold for

768/256 = 3

Each hot dog was sold for $3.

24*3 = $72

Therefore, the cost of 24 hot dogs is $72.

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.

Answer:

(10, 1)

Step-by-step explanation:

It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

X = 26 degrees

Step-by-step explanation:

84+ 70=154

180-154= 26

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

Answer:

its C

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

Answer:

it is D

since 6 percent of people infected by 10 day

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

A.) y=x-2

Step-by-step explanation:

Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Answer:

r = $105.6

Step-by-step explanation:

Given,

Amount paid by Trevor for 4 nights = $528

Rate per day = r

Now,

We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.

Now,

Amount paid = Number of days x Rate per day

$528 = 5 r

[tex]r = \frac{528}{5}[/tex]

r = $105.6

Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.

Answer: Option B.

Step-by-step explanation:

By an online search, i found that the options are:

A: (123873, 24765, 25000, 5678)

B: (16287, 16728, 16827, 16872)

C: (98782, 98728, 98287, 98278)

D: (78082, 78802, 78208, 78028)​

The numbers will be arranged in increasing order if the difference between all the pairs of consecutive numbers in the set is positive (where the order of the numbers if from left to right):

For example, for the set A the differences are;

1) 24765 - 123873 = -99108

The difference is negative, then the second number is smaller than the first one, then the numbers are not arranged in increasing order.

Now let's see with set B:

1) 16728 - 16287 = 441

2) 16827 - 16728 = 99

3) 16872 - 16827 = 45

All the differences are positive, then the numbers on this set are arranged in increasing order.

We could easily see that in sets C and D the numbers are not arranged in increasing order, in set C the second number is smaller than the first one.

and in set D the third number is smaller than the second number.

Answer: sorry if it is not what you wanted I wasn't sure on what to submit

Answer:

Lol its 8

Step-by-step explanation:

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

∴

x

300

−

x+5

300

=2

⇒

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

Answer:

x = 7

y = 2

Step-by-step explanation:

x² - y² = 45    

(x+y) (x-y) = 45

x + y = 9   (known)

9 x  (x-y) = 45

x - y = 5

y = x-5  

x + (x - 5) = 9  (substitute)

2x = 14

x = 7

y = 2

Answer:

15% off of $60.00 would be $51.00

Step-by-step explanation:

(15 x 15) / 100 = 9

60-9=51

        </3 PureBeauty