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Answer:

$52.92 has been spent in total for spa treatment and this amount includes a sales tax of $2.52 and a tip of $8.40.

Step-by-step explanation:

Cost of the spa treatment = $42

Percentage of sales tax = 6%

Percentage of tips = 20%

Normally the tips amount is calculated before adding sales tax.

Then

Amount of tips given = (20/100) * 42

                                 = (1/5) * 42

                                 = 8.40 dollars

Amount of sales tax taken = (6/100) * 42

                                          = 252/100

                                          = 2.52 dollars

Then

The total amount spent for spa treatment = (42 + 8.40 + 2.52) dollars

                                                                  = 52.92 dollars

Answer:

250 ml of the 75% mixture are needed to obtain the desired solution.

Step-by-step explanation:

Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:

100 x 0.75 + 0 x 0.35 = 75

90 x 0.75 + 10 x 0.35 = 71

89 x 0.75 + 11 x 0.35 = 70.6

87.5 x 0.75 + 12.5 x 0.35 = 70

12.5 = 40

87.5 = X

87.5 x 40 / 12.5 = X

3,500 / 12.5 = X

280 = X

Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.

Step-by-step explanation:

The function is:

[tex]f(n) = 25 + 5 \times (n - 1) \\ n \geqslant 1[/tex]

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

D. 400 sq units

The surface area of the right prism given below is 432 square units.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a right prism.

The right prism consists of three rectangular faces and two triangular faces.

Area of a triangular face = 1/2 × 8 × 6 = 24

Area of two triangular faces = 2 × 24 = 48 square units

Area of rectangular faces = (10 × 16) + (8 × 16) + (6 × 16)

                                          = 384 square units

Total area of the prism = 48 square units + 384 square units

                                      = 432 square units

Hence the total area of the prism is 432 square units.

Learn more about Surface Area here :

https://brainly.com/question/29298005

#SPJ7

Answer:

The median is 9

Step-by-step explanation:

Answer:

Hey love! Answer: 9

Step-by-step explanation:

these are the numbers 5 6 7 8 (9) 10 11 12 13

the median is simply just the one in the middle so this one is 9 because it has 4 numbers in front and 4 numbers after

Hope this helps!

Answer:

The pot can hold 9 6/10 liters of water

Step-by-step explanation:

Since you know that the pitcher can hold 8/10 liters of water and that Jada has to fill the pitcher 12 times to fill the pot you would first convert the 8/10 liters that the pitcher can hold to a decimal so that would become 0.8 liters of water and then you would multiply the 0.8 by 12 to get 9.6 liters of water and then you can convert that back to a fraction which would be 9 6/10 liters of water. So the pot can hold 9 6/10 liters of water

Her error was that she misplaced the numbers

-30x ≥ -300

its supose

to be -30x ≥ 200

Answer:

Jamie should have reversed the inequality when using the division property of inequality.

Step-by-step explanation:

Answer: 47.6 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4Step-by-step explanation:

Answer:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 125[/tex]

See attachment for proper table

Required

Complete the table

Experimental probability is calculated as:

[tex]Pr = \frac{Frequency}{n}[/tex]

We use the above formula when the frequency is known.

For result of roll 2, 4 and 6

The frequencies are 13, 29 and 6, respectively

So, we have:

[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]

[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]

[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]

When the frequency is to be calculated, we use:

[tex]Pr = \frac{Frequency}{n}[/tex]

[tex]Frequency = n * Pr[/tex]

For result of roll 3 and 5

The probabilities are 0.144 and 0.296, respectively

So, we have:

[tex]Frequency(3) = 125 * 0.144 = 18[/tex]

[tex]Frequency(5) = 125 * 0.296 = 37[/tex]

For roll of 1 where the frequency and the probability are not known, we use:

[tex]Total \ Frequency = 125[/tex]

So:

Frequency(1) added to others must equal 125

This gives:

[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]

[tex]Frequency(1) + 103 = 125[/tex]

Collect like terms

[tex]Frequency(1) =- 103 + 125[/tex]

[tex]Frequency(1) =22[/tex]

The probability is then calculated as:

[tex]Pr(1) = \frac{22}{125}[/tex]

[tex]Pr(1) = 0.176[/tex]

So, the complete table is:

[tex]1 \to 22 \to 0.176[/tex]

[tex]2 \to 13 \to 0.104[/tex]

[tex]3 \to 18 \to 0.144[/tex]

[tex]4 \to 29 \to 0.232[/tex]

[tex]5 \to 37 \to 0.296[/tex]

[tex]6 \to 6 \to 0.048[/tex]

Answer:

The slope is 0.

Step-by-step explanation:

Suppose we have two points in a data set, the slope is given by the change in the output divided by the change in the input.

In this question:

Two points: (0,-20) and (1,-20)

Change in the output: -20 - (-20) = -20 + 20 = 0

Change in the input: 1 - 0 = 1

Slope: 0/1 = 0

The slope is 0.

Answer:

there are 3 solutions which can be done by substitution method, elimination method,graphical method, 9f you need solution than contact me 8n comments I can show solutions

Answer:

a

Step-by-step explanation:

Answer:

[tex]log(\frac{a^{2} }{b^{3} } )[/tex]

Step-by-step explanation:

[tex]q[/tex] [tex]log[/tex] [tex]a -3log[/tex] [tex]b[/tex]

[tex]=log[/tex] [tex]a^{2} -log[/tex] [tex]b^{2}[/tex]

[tex]now[log[/tex][tex]a/b=log[/tex] [tex]a-log[/tex] [tex]b[/tex][tex]][/tex]

[tex]= log(a^{2} /b^{3)}[/tex]

[tex]--------[/tex]

hope it helps...

have a great day!!!

Answer:

2

Step-by-step explanation:

on Edge

Answer: 2

Step-by-step explanation:

have a great day!

Answer:

False, the first percentile is less than 22 hours.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Twenty four of the families in the sample watched TV for less than 22 hrs per week. In the sample, there are 150 families.

This means that 22 is the:

24*100%/150 = 16th percentile.

The first percentile is greater than or equal to 22 hours: True or False?

The first percentile is less than the 16th percentile, which is 22. This means that this is false, the first percentile is less than 22 hours.

Answer:

y = 2/5x +2

Step-by-step explanation:

y - 4 = 2/5(x -5)

y-4 = 2/5x -2

y = 2/5x +2

Answer:

DONT CLICK THE LINK!!!! IT IS A BOT. THEY WILL. HACK.

Step-by-step explanation:

Given, we know that she has 14 bricks.

We also know that the patio is 4 yards long and 3 yards wide. If we multiply those two numbers together we get 12.

So, if we do the math 14-12=2 bricks left over.

Therefore, she will have enough bricks to build the patio.

Step-by-step explanation:

Here

Now,

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]

And,

[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]

And

[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]

Now

[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]

Answer:

112 ^0

Step-by-step explanation:

cant explains it very well

Answer:

5 f

Re-order terms so that constants are on the left

. 5

5 f

solution

5 f

9514 1404 393

Answer:

  widen

Step-by-step explanation:

The vertical scale factor is 3/4, so the vertical extent is shortened at a given x-value distance from the axis of symmetry. That will give the appearance of making the parabola (slightly) wider.

Answer:

Step-by-step explanation:

Solution :

Let

Waiting time for accessing one record = W

Read time for moving the information = R

Total time for accessing to get one block of information = X

So, the random variable X is defined as :

X = W + R

  = W + 7

a). Calculating E(X)

E(X) = E(W+7)

      = E(W) + 7

      [tex]$=\int_{0}^{28}\frac{1}{28-0}w dw +7$[/tex]

       [tex]$=\frac{1}{28}\int_{0}^{28}w dw +7$[/tex]

       [tex]$=\frac{1}{28}\left[\frac{w^2}{2}\right]_0^{28}+7$[/tex]

      [tex]$=\frac{1}{56}\left[28^2\right]+7$[/tex]

      [tex]$=\frac{28}{2}+7$[/tex]

     = 14 + 7

     = 21

b). Calculating Var(X)

V(X) = V(W+7)

      = V(W)+0

      = V(W)

     = [tex]$E(W^2)-[E(W)]^2$[/tex]

     [tex]$=\int_0^{28}\frac{1}{28}w^2 dw-[14]^2$[/tex]

    [tex]$=\frac{1}{28}\left[\frac{w^3}{3}\right]_0^{28}-196$[/tex]

   [tex]$=\frac{1}{28\times 3}\times 28^3-196$[/tex]

  [tex]$=\frac{28\times 28}{3}-196$[/tex]

 = 65.33

c). Considering A is the random variable that can be defined as follows:

A = 6(W+7)

   =6W + 42

So calculating E(A)

E(A) = E(6W + 42)

      = E(6W) +42

      = 6E(W) + 42

     = 6(14) + 42

     = 84 + 42

     = 126

Sorry for the changing answers, did the question too fast and misinterperted the diagram. The answer below is the correct one.

Answer:

mUC=70°

Step-by-step explanation:

The angle (87) formed by two chords (US and TS) is half the sum of the intercepted arcs(104 and mUC):

87=(1/2)(104+mUC)

174=104+mUC

mUC=70°

Answer:

the slope of (-1,3) (-2,-1) is 4

Answer:

Surface area = 24in

Step-by-step explanation:

I think its 6in x 4in

so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)

Answer:

a-As the only factor of interest is type of electric motor, thus instead of using 1-factor randomization, a randomized block design is used where at maximum one motor of each type is tested every day.

b- The test statistic is given as

[tex]F_{I-1,(I-1)(J-1)}=\dfrac{12\left(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}\right) }{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}[/tex]

Step-by-step explanation:

a-

This is done such that the days are considered as blocks and the randomization is only occuring within the block. The order of testing is random. However the condition is implemented such that one motor of each type is tested each day.

b-

The F-Value is given as

[tex]F-Value=\dfrac{MSA}{MSAB}[/tex]

Here MSA is given as

[tex]MSA=\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}[/tex]

Here

Similarly MSAB is given as

[tex]MSAB=\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}[/tex]

Here

By putting these values and simplifying, equation becomes:

[tex]F-Value=\dfrac{MSA}{MSAB}\\\\F-Value=\dfrac{\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}}{\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}}\\\\F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{5-1}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(5-1)(4-1)}}\\\\[/tex]

This is further simplified as

[tex]F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{4}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\[/tex]

The numerator can be written as

[tex]F-Value=\dfrac{\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{12(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..})}{{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}}\\[/tex]

Answer:

the value x is 0 and the value of y is 2

Answer:

B

-2(0)²+24(0)-54

= -54

Answer:

I think its C

Step-by-step explanation:

y intercepts (0,-54)

ANSWER.

The measure of angle A is 53.13°.

STEP BY STEP

Given,

ABC is a triangle,

In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,

By the law of sine,

 ( By cross multiplication )

By substituting the values,

 ( sin 90° = 1 )

Hence, the measure of angle A is 53.13°.

Answer:

a = -7

b = 1

c = 4

Step-by-step explanation:

0 = 4 - 7x²+ x

-7x²+x+4 = 0

But

ax²+bx + c = 0

a = -7

b = 1

c = 4

Answer:

-7, 1, 4

Step-by-step explanation: