Solve for s.
Give an exact answer.
63 – 4 = 8 (2+1/4s)

Answers

Answer 1

Answer:

exact form: 43/2

decimal form: 21.5

mixed number form: 21 1/2

Step-by-step explanation:

i have no idea ahahahahhahahahha

Answer 2

Answer:  " s = 21. 5 " ; or, write as:  " s = [tex]21\frac{1}{2}[/tex] "

____________________________

Step-by-step explanation:

____________________________

Given:

 63 – 4 = 8 (2+1/4s) ; Solve for: "s" ;

Note: Rewrite the equation:

↔  8 (2+1/4s) = 63 - 4 ;   (commutative property);

Start with the "right-hand side" of the equation:

  " 63 − 4 " ;  which equals:  " 59. "

___________________________

Rewrite the equation:

___________________________

  →   8 (2 + 1/4s)  =  59 ;

Now, let us examine the "left-hand side" of the equation:

     " 8 (2 + 1/4s) " ;

Note the "distributive property" of multiplication:

           a(b + c) = ab + ac ;

As such:

       " 8 (2 + 1/4s) " ;

                     =  (8×2)  + (8× 1/4s) ;

                     =  16 + 8/4s ;

                      = 16 + 2s ;

Now, rewrite the equation:

                       16 + 2s = 59  ;  Subtract "16" from each side of the equation:

          16 + 2s − 16 = 59 − 16 ;

to get:   2s  = 43 ;

Now, divide each side of the equation by "2" ;  

 to isolate "s" on one side of the equation; & to solve for "s" ;

             2s / 2 =  43 / 2 ;

 to get:

              s =  21. 5 ;  

                  or;  write as " [tex]21 \frac{1}{2}[/tex]  " .

___________________________

Hope this answer—and explanation—helps you!

  Best of luck to you!

___________________________


Related Questions

Which point on the number line below is 57 the distance from D to A?

Answers

Answer:

C

Step-by-step explanation:

The answer is c because the distanse from D to a is 7, and 5/7 of 7=5

,and -3+5=2=c.

71+(-43)-13 give me the answer

Answers

Answer:

15

Step-by-step explanation:

combine -43 and -13 to get 66

71-66 = 15

What's the best definition of the word "ratio?"

Answers

Answer:

Compare

Step-by-step explanation:

Or relation I believe so...

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Equal quotients correspond to equal ratios.

HOPE YOU UNDERSTAND!!!

(i)If the circumference of the circle is 88 cm ; Find the diameter.
(Take π = 22/7 )

Answers

Given:

Circumference of the circle = 88 cm

π = 22/7

To Find:

The Diameter of the circle.

Formula:

Circumference of circle = 2πr

r = radius

Solution:

Circumference of the circle = 2πr = 88 cm

Circumference of the circle = πr = 88/2 = 44 cm

Circumference of the circle = r = 44 × 7/22 = 14 cm

r (radius) = 14 cm

d (diameter) = 2r = 2(14) = 28 cm

Answer:

Diameter of the circle = 28 cm

What represents 5. X=15

Answers

Answer:

X=3

Step-by-step explanation:

5x3=15

A group of freshmen at a local university consider joining the equestrian team. Thirty-five percent of students choose Western riding, 45% choose dressage, and 40% choose jumping. Fifteen percent choose both dressage and jumping, while 15% choose Western and dressage. No one chooses Western and jumping. There are no horses suitable for two styles, and each student is assigned to one horse. If two students decide to join the team, what is the probability that one student joins jumping only and the other student joins the Western team, if they independently decide

Answers

Answer:

Step-by-step explanation:

see attached file .

On the map, the school and the sports park are 12 centimeters apart.

What is the actual distance between the school and the park? PLEASE HELP ILL MARK BRAINLIST.

Answers

Answer:

The school and the sports park are 15 km apart.

Step-by-step explanation:

4 cm = 5 km

1 cm = 5 / 4 km

12 cm = 15 km

Answer:

15 km

Step-by-step explanation:

On the map, the school and the sports park are 12 centimeters apart.

scale 4cm : 5km

find;

What is the actual distance between the school and the park?

solution:

        12 cm     =   4 cm                  

          X km            5 km

cross multiply:

4 cm X km = 12 cm (5 km)

X =  12 cm (5 km)

             4 cm

X = 15 km

therefore, the distance between the school and the sports park is 15 km

l(x) = 2|3 – 2x| +6; find l(5)

Answers

Answer:

5 = a whole big mac right so if you get a triple big mac divide the big mac to the other one

Step-by-step explanation:

3 (x - 2) = 7 – (4 - x)​

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=92x=92

Decimal Form:

x=4.5x=4.5

Mixed Number Form:

x=412x=412

the answer is x = 9/2

explanation

3 (x - 2) = 7 – (4 - x)

apply the distributive law to 3(x - 2)

to get 3x - 6

simplify 7-(4-x)

3 + x

you now have

3x - 6 = x + 3

add 6 to both sides

-6+6=0   3 + 6 = 9

3x=x+9

subtract x from both sides

3x - x = 2x     x - x = 0

2x = 9

divide both sides by 2

2x/2 = x    9/2

to get x = 9/2

Need help please and thank u

Answers

Answer:

Step-by-step explanation:

I am stuck on the same thing, but A is probably the number of songs increse when lenght of cd increses.

PLZZZZZZZZZZZZZ HELP Simplify the expression.

–5^4

Answers

Answer:

625

Step-by-step explanation:

All it is saying to do is to do -5x-5x-5x-5

Answer:

625

Step-by-step explanation:

–5^4 is simply -5 times -5 4 times

the negatives cancel each other

out

formula of Santander deviation .​

Answers

Answer:

Step-by-step explanation:

Answer:

Work out the Mean(the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the Mean of those squared differences.

Take the square root of that and we are done!

Step-by-step explanation:

HELP ME PLS IM TO LAZY
4/5 divide by 8 in the simplest form?

Answers

the answer is 0.1 or 1/10

10q - 20 is equivalent to _____.

Answers

Answer: 10q-20

10(q-2)

factor out 10 as it is a common factor

Step-by-step explanation: this did not help please comment to contact please

find the value of x.

Answers

Answer:

23

Step-by-step explanation:

3x + 18 + 93 = 180

3x + 111 = 180

3x = 69

x = 23

Estimate the sum to the nearest tenth 8.741+2.165

Answers

Answer:

10.9

Step-by-step explanation:

8.741 is estimated to 8.7 and 2.165 is estimated to 2.2 so the estimated answer would be 10.9

Answer:

10.9

Step-by-step explanation:

he's always right every question i search up

he is always on here thanks so much brainly

use you deserve brainliest to be honets

Isabel's dog gets 55.4 grams of protein in each meal. How much protein does the dog get in 8 meals? Please help

Answers

Answer:

443.2

Step-by-step explanation:

For a sample of transformers built for heavy​ industry, the mean and standard deviation of the number of sags per weeks were and ​, ​respectively; also, the mean and standard deviation of the number of swells per week were and ​, respectively. Consider a transformer that has sags and swells in a week. Complete parts a and b below.
1. Would you consider 314 sags per week​ unusual, statistically? Explain.
A. No. The Z-score is meaning that the number of sags is not unusual and is not an outlier.
B. No. The Z-score is meaning that less than approximately 68% of transformers have a number of sags closer to the mean.
C. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has fewer sags.
D. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has more sags.
E. This cannot be determined, since the IQR is not provided and cannot be found from the provided information.
2. Would you consider 243 swells per week unusual, statistically? Explain.
A. No. The Z-score is meaning that less than approximately 68% of transformers have a number of swells closer to the mean.
B. Yes. The Z-score is meaning that this is an outlier and almost every other transformer has more swells.
C. Yes. The z-score is meaning that this is an outlier and almost every other transformer has fewer swells.
D. No. The Z-score is meaning that the number of swells is not unusual and is not an outlier.
E. This cannot be determined, since the IQR is not provided and cannot be found from the provided information.

Answers

Answer:

The correct options are:

(1) A

(2) C

Step-by-step explanation:

The complete question is:

For a sample of 119 transformers built for heavy​ industry, the mean and standard deviation of the number of sags per weeks were 338 and 22​, ​respectively; also, the mean and standard deviation of the number of swells per week were 174 and 15​, respectively. Consider a transformer that has sags 375 and 120 swells in a week.

(1)

A z-score less than -2 or more than 2 are considered as unusual.

Compute the z-score for 314 sags per week​ as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

   [tex]=\frac{314-338}{22}\\\\=-1.091[/tex]

The z-score for 314 sags per week is -1.091.

This value is more than -2.

Thus, the correct option is:

A. No. The Z-score is -1.091 meaning that the number of sags is not unusual and is not an outlier.

(2)

Compute the z-score for 243 swells per week as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

   [tex]=\frac{243-174}{15}\\\\=4.6[/tex]

The z-score for 243 swells per week is 4.6.

This value is more than 2.

Thus, the correct option is:

C. Yes. The z-score is 4.6 meaning that this is an outlier and almost every other transformer has fewer swells.

1). The decision regarding the consideration of 314 sags every week unusually would be:

a). No. The Z-score is meaning that the number of sags is not unusual and is not an outlier.

2). The decision regarding the consideration of 243 swells every week every week unusually would be:

c). Yes. The z-score is meaning that this is an outlier and almost every other transformer has fewer swells.

a). Given that

No. of transformers = 119

Mean = 338

Standard Deviation for the week = 22

Now,

z-score for sags = (No. of sags - Mean)/Standard Deviation

[tex]= (314 - 338)/22\\= -1.091[/tex]

Since it is greater than -2, option A is the correct answer.

b). Given that

No. of swells = 243

Mean for swells = 174

Standard Deviation = 15

Now,

z-score for sags = (No. of sags - Mean)/Standard Deviation

[tex]= (243 - 174)/15\\= 4.6[/tex]

Since it is greater than 2, it exemplifies an outlier. Thus, option C is the correct answer.

Thus, options A and C are the correct answers.

Learn more about "Transformation" here:

brainly.com/question/11707700

Which expression is equivalent to (7-8)(73)?

Answers

Answer:

The answer would be -73

Answer: 7^-5

Step-by-step explanation: I did it

HELP!!!!!!! MATH QUESTION FOR 40) POINTS!!!!!!
Abe is buying wrapping paper.
He is shopping for the best deal.

Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot. (Just put from least to greatest)

Red: 12.5 square feet for $1.79
Blue: 40 square feet for $5.29
Green: 50 square feet for $8.49
Orange: 60 square feet for $6.00​

Answers

Answer:

1)Green

2)Red

3)Blue

4)Orange

Juan’s battery only has 6 7 battery life left and drains at 2 5 per hour. How many hours will the battery last?

Answers

Answer:

3 hours

Step-by-step explanation:

Answer:

she will have a little more then 3 hours left but less then 4.

Step-by-step explanation:

simplify by combining like terms

Answers

Answer:

31b2 subtract 16b2

Step-by-step explanation:

Add and then subtract the numbers

I think this is the answer

[Will Mark Brainiest Answer]
What is (4.81*10^16)(1.1*10^-4)

Answers

Answer:

5.291e+12

Step-by-step explanation:

Step-by-step explanation:

5.291e+12 would be your answer my guy

A pharmaceutical company is interested in testing the effect of humidity on the weights of pills sold in a new aluminum package. Let X and Y denote the weight of a pill in the old aluminum package and in the new aluminum package (respectively) after the packaged pill has spent one week in chamber kept at 30 °C and 100 % humidity. Define a null and alternates hypothesis to test whether the old aluminum package pills weigh less than the new aluminum package pills following the humidity-chamber treatment. The following random samples of X yielded the following weights in milligrams:
373.2 376.7 381.6 382.1 388.7 384.0
397.9 389.8 385.1 371.3 383.5
and the following random sample of Y yielded the following weights in milligrams:
395.5 384.8 383.5 386.5 394.8
391.6 397.7 384.0 391.7 398.8
Define a critical region with a significance level of alpha = 0.05 and calculate the value of the test statistic. Accept or reject the null hypothesis and then state a scientific conclusion about the packaged-pill humidity experiment.

Answers

Answer:

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is   [tex]H_a : \mu_1 < \mu_2[/tex]

The test statistics is   [tex]t =  -2.65[/tex]

Reject the null hypothesis

There is  sufficient evidence to conclude that the weight of the old aluminium package pills is less than the new aluminium pills.

Step-by-step explanation:

From the question we are told that

The data for X is  373.2 , 376.7  , 381.6 , 382.1  , 388.7 ,  384.0 ,  397.9 , 389.8 ,385.1 , 371.3 , 383.5

The data for Y is 395.5 ,  384.8 , 383.5  , 386.5  ,394.8

, 391.6  , 397.7 , 384.0 , 391.7 , 398.8

Generally the sample mean for X is mathematically represented as

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

=>       [tex]\= x = \frac{373.2 +376.7 +\cdots + 383.5}{11}[/tex]

=>       [tex]\= x = 383.08 [/tex]

Generally the sample mean for Y is mathematically represented as

          [tex]\= y = \frac{\sum y_i }{n}[/tex]

=>       [tex]\= y = \frac{395.5 +384.8 +\cdots + 398.8}{10}[/tex]

=>       [tex]\= y = 390.89 [/tex]

Generally the standard deviation for  X is mathematically represented as

     [tex]\sigma_1 = \sqrt{\frac{\sum (x_i - \= x_1 )^2}{n} }[/tex]

=>   [tex]\sigma_1 = \sqrt{\frac{( 373.2 - 383.08)^2 +( 376.7 - 383.08)^2 +\cdots + ( 383.5 - 383.08)^2 }{11} }[/tex]

=> [tex]\sigma_1 = 7.63 [/tex]  

Generally the standard deviation for  Y is mathematically represented as

     [tex]\sigma_2 = \sqrt{\frac{\sum (y_i - \= y )^2}{n} }[/tex]

=>   [tex]\sigma_2 = \sqrt{\frac{( 395.5 - 390.89)^2 +( 384.8 - 390.89)^2 +\cdots + ( 398.8 - 390.89)^2 }{10} }[/tex]

=> [tex]\sigma_2 = 5.82 [/tex]  

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is   [tex]H_a : \mu_1 < \mu_2[/tex]

Generally the test statistics is mathematically represented as

     [tex]t = \frac{\= x - \= y}{ \sqrt{\frac{\sigma_1^2 }{ n_1 } +\frac{\sigma_2^2 }{ n_2 } } }[/tex]

=>   [tex]t = \frac{383.08 - 390.89}{ \sqrt{\frac{7.63^2 }{ 11 } +\frac{5.82^2 }{10} } }[/tex]

=>   [tex]t = -2.65[/tex]

Generally the level of significance is [tex]\alpha = 0.05[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2 - 2[/tex]

=>   [tex]df = 11 + 10 - 2[/tex]

=>   [tex]df = 19[/tex]

Generally from the student t- distribution table the critical value of   [tex] \alpha [/tex] at a df = 19 is      

    [tex]t_{\alpha ,df} =t_{0.05 ,19} = -2.093[/tex]

Now comparing the critical value  obtained with test statistic calculated we see that the critical value is the region of the calculated test statistic( i.e  between  -2.65 and  2.65) hence we reject the null hypothesis

Therefore there sufficient evidence to conclude that the old aluminium package pills weight is less than the new aluminium pills

Geometry question I need help with

Answers

Answer:

angle XYW = 44

Step-by-step explanation:

Supplementary angles add up to 180 degrees. So:

(5x - 6) + (12x+16) = 180

*combine like terms*

17x + 10 = 180

      - 10    -10

17x = 170

/17    /17

x = 10

angle XYW = 5x - 6

5(10) - 6 = ?

50 - 6 = 44

x = 44
you add 5x - 6 + 12x + 16 = 180 (algebra 1)
then that gets you 17x + 10 = 180
subtract 10 on both sides
which gets you 17x = 170
then divide on each side
which gets you x = 10
then you plug in x with the angle xyw
which gets you 5 (10) - 6
which then gets you 50 - 6
which means the answer is 44

(5x3 - 8x? – X – 4) = (x-2)

Answers

Answer: x= 1.4  Hope this helps with your assignment.

A team of scientists are conducting research on the effect of word fonts used in road signs on accident rates. Across the population, there is an average of μ = 40 accidents per year due to unclear road sign fonts, with a standard deviation of σ = 10. The distribution is approximately normal. The team believes that certain fonts are difficult to read and may cause accidents, and it wants to implement a change to road sign fonts nationwide. The team is recommending a new font to replace the old fonts in road signs. After a series of studies, the team finds that the new font decreases accidents. However, the effect size is rather small (d = - 0.2). If the change to road sign fonts is implemented and there truly is an effect, it is expected that the new average rate of accidents will be: μ = 38 (i.e., hypothesized mean of the treatment group). In other words, this change should decrease accidents by 2, on average. [50 points total]

A.) Because implementing such large-scale changes is very costly, the government wants to be sure that the investment will be impactful. For a hypothesis test, they want the α-level to be small to minimize error. It is decided that α = 0.01, and a one-tailed test will be used. [50 points]

-What type of error is minimized by setting a stricter (smaller) α-level?

-With a one-tailed hypothesis test at α = 0.01, use the unit normal table to find the zscore that marks the critical region.

B.) A sample of n = 100 people are selected to go through a road trial with new fonts in the road signs. Again, the treatment is expected to decrease accidents by 2 on average. If the researchers use a one-tailed hypothesis test with α = 0.01, what is the power of the hypothesis test? [10 points]

C.)An external consultant is worried that there may not be enough power to detect such a small effect with such a small sample size. The consultant recommends that the researchers select a sample of n = 400 people instead. With this new sample size, and assuming a one-tailed hypothesis test with α = 0.01 again, what is the power of the hypothesis test?

D.)Based on your answers in 3(b) and 3(c), calculate the probability of making a Type II error in both cases and explain what the values mean.

E.) Explain how sample size influences power. Discuss what this means in terms of the conclusions you might make in hypothesis testing. (You can use your answers in 3(b) and 3(c) as an example.)

Answers

Answer:

Step-by-step explanation:

You should start by

HELP ASAP PlEASE

The actual length of mermaid avenue is 90m and the scale is 1cm to 30m. What is the distance in the scale drawing using this scale?

Answers

So if 1cm=30m. Then set it up as a ratio. Then see what would make the first ratio equal the other and find x.

Gail pays 0.04 sales tax on each dollar she spends. If she buys a new bike for 137.32 how much sales tax will she pays ?

Answers

Answer:

$5.49

Step-by-step explanation:

Basically we can take the price of the bike, 137.32, and multiply by the tax, 0.04, to get 137.32*0.04 and we are left with 5.4928 and we round to 5.49.

Answer:

Gail's sales tax amount is $5.49

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?


A) Choose the equation to match the situation.


A. (0.20)(10) = 0.05x + 0.40x

B. (0.20)(10) = 0.05x + 0.40(10 – x)

C. (0.20)(10) = 0.05(10) + 0.40(10 – x)

D. (0.20)(10) = 0.05(10 – x) + 0.40(10 – x)

B) Solution

??? liters of 5%
??? liters of 40%

Answers

Option B is correct, (0.20)(10) = 0.05x + 0.40(10 - x)
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The following table describes the relationship between the number of scoops in an ice cream cone, represented by x. So this is the number of scoops in an ice cream cone. So that's x, and the price of the cone, represented by y. I'll do y in purple. Write the equation that describes this relationship. So let's see. When x is 0, y is 0. When x is 1, y is 1 and 3/4. So let me write this as an improper fraction, just so I can visualize it better. So this is 4/4 plus 3/4, which is equal to 7/4. When x is 2, y is 3 and 1/2. So let me see if I can write this in a little bit of a clearer way. So 2 times 3 is 6, plus 1 is 7, so this is 7/2-- which is the same thing as 14 over 4. And then here we have, when x is 3, y is equal to-- so 5 and 1/4-- if I would write it as an improper fraction-- 4 times 5 is 20, plus 1 is 21. So this is equal to 21 over 4. And then finally, if we were to write this as something over 4, this is equal to 28 over 4. 7 is the same thing as 28 over 4. So you see that this is a proportional relationship. The ratio between y and x. So let me write this. The ratio between y and x is always equal to 7/4. Notice here, y is 7/4 of x. 7/4-- it's a bigger number. Or you could say 1 and 3/4 of x. So let me make that clear. So y over x is equal to 7/4. Or, we can say that y is always 7/4 of x. We can multiply both sides by x, if we like. So if we multiply both sides by x, we get y is equal to 7/4 times x. And you see it here. When x is 4, 7/4 times 4 is 7. When x is 0, y is 0. When x is 3, 7/4 times 3 is 21 over 4, which is the same thing as 5 and 1/4. So there we go. And let me input it, just to make sure we can input it right. So y is equal to 7/4 x. We would just write y is equal to 7/4 times x. And let's check our answer. And we got it right Triangle QRS has been rotated 90 to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite and reciprocal slopes. 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