Bryan works at the ballpark selling bottled water. She sells 19 bottles in One shift. The large bottles sell for $8 each and the small bottles sell for $3 each. At the end of One game, she has taken in $102. How many large and small bottles did Bryan sell?

Answer:

The next number in the sequence is: 13

Step-by-step explanation:

So we start with 3, then the pattern is:

subtract 9, add 18, subtract 8, add 16, subtract 7, add 14...

If we apply this to the pattern we can see that it works. You should be able to continue the pattern if needed.

Answer:

Step-by-step explanation:

Hello!

Given the variable

X:  Ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloth.

The researcher's claim is that the ratio of the SC of the sloths is more variable than in other animal species that are more active.

For more active species the standard deviation of the ratio is σ= 0.09

1)

To calculate the sample standard deviation you have to calculate the sample variance first:

[tex]S^2= \frac{1}{n-1} [sumX^2-\frac{(sumX)^2}{n} ][/tex]

n=7; ∑X= 8.91; ∑X²= 11.8599

[tex]S^2= \frac{1}{6} [11.5899-\frac{(8.91)^2}{7} ]= 0.0287= 0.029[/tex]

S= √S²= √0.029= 0.169≅ 0.17

The sample standard deviation of the ratio is 0.17

2)

The parameter of interest is the population standard deviation. To calculate a confidence interval for the standard deviation of a population you have to estimate the population variance first. Then calculate the square root of both limits of the interval for the variance to obtain the interval for the standard deviation.

The statistic to use is the Chi-Square and the formula for the interval is:

[tex][\frac{(n-1)S^2}{X^2_{n-1;1-\alpha /2}} ;\frac{(n-1)S^2}{X^2_{n-1;\alpha /2}} ][/tex]

[tex]X^2_{n-1;\alpha /2}= X^2_{6; 0.025}= 1.2373[/tex]

[tex]X^2_{n-1;1-\alpha /2}= X^2_{6; 0.975}= 14.449[/tex]

[tex][\frac{6*0.029}{14.449} ;\frac{6*0.029}{1.2373} ]\\[/tex]

[0.0120; 0.1406]

Using a 95% confidence level you'd expect the interval [0.0120; 0.1406] to include the true value of the population variance of the ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloths.

Now you have to calculate the square root of each limit:

[√0.0120; √0.1406]

[0.1097; 0.3750]

Using a 95% confidence level you'd expect the interval [0.1097; 0.3750] to include the true value of the population standard deviation of the ratio of the length to width of the anterior semicircular canals (SC) of the three-toed sloths.

3)

As you can see the calculated interval doesn't include the value obtained for the other species.

I hope this helps!

Answer:

67/100

Step-by-step explanation:

Find common denominators, note that what you do to the denominator, you must do to the numerator.

The common denominator is 100:

(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100

Add:

37/100 + 30/100 = 67/100

67/100 is your answer.

~

Answer:

67/100

Step-by-step explanation:

37/100+3/10

Get a common denominator

37/100 + 3/10 *10/10

37/100+30/100

67/100

Answer:

34.99

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

If the line is perpendicular to the y- axis, that means that it must be a horizontal line. Any horizontal line must be in the form y=b. Since the y-value of the point is -3, the equation of the line must be y=-3

Answer:

y = -3

Step-by-step explanation:

A line perpendicular to the y-axis is a horizontal line.

The equation of a horizontal line is of the form

y = k,

where k is the y-coordinate of all points on the line. Since point (-5, -3) is on the line, then the y-coordinate of all points on the line is -3.

Answer: y = -3

Answer:

1050 in total, 52.50 for each athlete

Step-by-step explanation:

We can start by writing an equation with x as the number of athletes

250+40x= Total cost

Now we can substitute 20 for x

250+40(20)

250+800

1050

The total cost is 1050

If you need the amount that each athlete is paying individually, just divide it by 20

1050/20=52.50

52.50 for each athlete

Answer:

C. (2, -3)

Step-by-step explanation:

Easiest and fastest way to get the solution set is to graph the systems of equations and analyze where the graphs intersect.

Answer:

Option D (20) is the right answer.

Step-by-step explanation:

The given values are:

Length of wood,

= 78 inches

Wood pieces,

=  [tex]3\frac{3}{4} \ inches[/tex]

On converting this in proper fraction, we get

=  [tex]3\frac{3}{4}[/tex]

=  [tex]\frac{15}{4}[/tex]

=  [tex]3.75 \ inches[/tex]

Now,

On dividing "78" from "3.78", we get

=  [tex]\frac{78}{3.75}[/tex]

=  [tex]20.8 \ pieces[/tex]

So we got "20 pieces".

Step-by-step explanation:

1 min = 60 sec

Boxes both can fold per min = 30 + 20 = 50

No of boxes to fold = 200

Time taken in sec = 200 ÷ 50 = 4 min = 60 x 4 = 240 sec

Answer:

$72

Step-by-step explanation:

I = Prt

I = ($300)(0.04)(6)

I = $72

Step-by-step explanation:

sum of four angles=360°

a=128

b=126

c=54

d=?,let d=x

128+126+54+x=360°

308+x=360

find like terms

x=360-308

x=52°

Answer:

  CA = 5

Step-by-step explanation:

Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:

  CA² = AB² +BC²

  CA² = 3² +4² = 9 +16 = 25

  CA = √25

  CA = 5

Answer:

D. CA = 5

Step-by-step explanation:

The Pythagorean Theorem states that given a right triangle with legs a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, the legs are 3 and 4, so a = 3 and b = 4. Plug these in to find c:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

c = √25 = 5

The answer is thus D.

~ an aesthetics lover

Answer:

A.

Step-by-step explanation:

B is wrong because irrational numbers can include pie.

C and D are wrong because irrational numbers don't get a whole number, and instead gives a decimal numbers.

Answer:

creat a t-chart to graph the coordinates.

Answer:

b. 1.69

Step-by-step explanation:

So to solve this problem we need to simply find the percentage increase from 11.8 to 12 =>

to solve this we would do 12 - 11.8 = 0.2 --> 0.2 is our "difference in the increase" -->

now we divide this by our amt. which is 11.8 --> 0.2/11.8 = approx. 0.0169

--> finally multiply that by 100 which is simply moving the decimal places 2 places right giving us the final answer of 1.69

Hope this helps!

Answer:

B. 1.69%

Step-by-step explanation:

If Ross calculated the countertop for a laundry room to be 12 square feet but turns out to be actually 11.8 square feet, we need to find out how much percentage error Ross has made!

In order to solve this question,

1) We need to create proportions:

Ross' calculations              x

______________ =   _________

   actual area                   100

x represents the percentage error.

100 is the total percentage.

2) Now we plug in the numbers:

We plug in 12 for Ross' calculations. We plug in 11.8 for the actual area. So, it will look like this:

   12                x

______ = _______

   11.8           100

3) Time for cross multiplication:

12 times 100 is 1,200

11.8 times x is 11.8x

So,

1,200 = 11.8x

4) Now we divide:

1,200 divided by 11.8 equals to 101.69 %

5) We are not done! We still have to subtract:

101.69

-100.00

_______

    1.69

Finished!!

Our answer is 1.69%, which is B.

Hope this was helpful !!!

Answer:

Step-by-step explanation:

Hello!

The given data corresponds to the variables

Y:  Annual Maintenance  Expense ($100s)

X: Weekly Usage  (hours)

n= 10

∑X= 253; ∑X²= 7347; [tex]\frac{}{X}[/tex]= ∑X/n= 253/10= 25.3 Hours

∑Y= 346.50; ∑Y²= 13010.75; [tex]\frac{}{Y}[/tex]= ∑Y/n= 346.50/10= 34.65 $100s

∑XY= 9668.5

a)

To estimate the slope and y-intercept you have to apply the following formulas:

[tex]b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} } = \frac{9668.5-\frac{253*346.5}{10} }{7347-\frac{(253)^2}{10} }= 0.95[/tex]

[tex]a= \frac{}{Y} -b\frac{}{X} = 34.65-0.95*25.3= 10.53[/tex]

^Y= a + bX

^Y= 10.53 + 0.95X

b)

H₀: β = 0

H₁: β ≠ 0

α:0.05

[tex]F= \frac{MS_{Reg}}{MS_{Error}} ~~F_{Df_{Reg}; Df_{Error}}[/tex]

F= 47.62

p-value: 0.0001

To decide using the p-value you have to compare it against the level of significance:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The decision is to reject the null hypothesis.

At a 5% significance level you can conclude that the average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

b= 0.95 $100s/hours is the variation of the estimated average annual maintenance expense of the computer wheel alignment and balancing machine is modified when the weekly usage increases one hour.

a= 10.53 $ 100s is the value of the average annual maintenance expense of the computer wheel alignment and balancing machine when the weekly usage is zero.

c)

The value that determines the % of the variability of the dependent variable that is explained by the response variable is the coefficient of determination. You can calculate it manually using the formula:

[tex]R^2 = \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]} = \frac{0.95^2[7347-\frac{(253)^2}{10} ]}{[13010.75-\frac{(346.50)^2}{10} ]} = 0.86[/tex]

This means that 86% of the variability of the annual maintenance expense of the computer wheel alignment and balancing machine is explained by the weekly usage under the estimated model ^Y= 10.53 + 0.95X

d)

Without usage, you'd expect the annual maintenance expense to be $1053

If used 100 hours weekly the expected maintenance expense will be 10.53+0.95*100= 105.53 $100s⇒ $10553

If used 1000 hours weekly the expected maintenance expense will be $96053

It is recommendable to purchase the contract only if the weekly usage of the computer is greater than 100 hours weekly.

Answer:

There are 10 digits and 6 numbers so the answer is 10 * 10 * 10 * 10 * 10 * 10 = 10⁶ = 1,000,000.

Answer: 72 arrangements

Step-by-step explanation:

The books are:

Statistics,  calculus, geometry, algebra, and trigonometry.

So we have 5 books.

We want that algebra and trigonometry are not together.

Suppose that we have 5 positions:

Now, we can start with algebra in the first position.

Now, we have 3 positions for trigonometry (3rd, 4th and 5th).

Now, once those two books are in position, we have 3 other positions and 3 other books, so for the first selection we have 3 options, for the second position we have 2 options, and for the last option we have 1 option.

The number of combinations is equal to the number of options in each selection:

3*(3*2*1) = 18

Now, if Algebra is in the second place, then for trigonometry we have only 2 possible options (4th and 5th)

and for the other 3 books again we have 3*2*1 combinations:

the total number of combinations is:

2*(3*2*1) = 12

If algebra is in the 3rd position, trigonometry has 2 options (1st and 5th)

For the other 3 books, we have 3*2*1 combinations.

The total number of combinations is:

(3*2*1)*2 = 12

in the fourth position is the same as the second position, so here we have again 12 combinations.

For the fifth position is the same as for the first position, so we have 18 combinations.

The total number of combinations is:

C = 18 + 12 +12 +12 +18 = 72

Answer:  Q(x) = x² - 4x + 2

Step-by-step explanation:

P(x) · Q(x) = R(x)   ⇒   Q(x) = R(x)/P(x)

R(x) = x³ - 2x² - 6x + 4     ÷     P(x) = x + 2

I will use synthetic division (but you can also use long division).

-2 |  1     -2     -6     4  

    |  ↓    -2       8    -4  

       1    -4       2      0   ← remainder

The reduced polynomial is: x² - 4x + 2

Answer:c is the correct ans

Step-by-step explanation:

Feel pleasure to help u

Answer:

B-. More than one unique triangle exists with the given side lengths.

Step-by-step explanation:

according to to tringle inequality theorem he sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some cal. are preforemed below

12+15>18

15+18>12

Answer:

see explanation

Step-by-step explanation:

Given that p varies directly as s² and inversely as r then the equation relating them is

p = [tex]\frac{ks^2}{r}[/tex] ← k is the constant of variation

To find k use the condition when s = 6, r = 3 and p = 48, that is

48 = [tex]\frac{6^2k}{3}[/tex] ( multiply both sides by 3 to clear the fraction

144 = 36k ( divide both sides by 36 )

4 = k , thus

p = [tex]\frac{4s^2}{r}[/tex] ← equation of variation

When s = 10 and r = 5 , then

p = [tex]\frac{4(10)^2}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80

Answer:

x= 3

y=2

Step-by-step explanation:

-3x + 9y = 9 ----------- equation 1

3x + 2y = 13--------------- equation 2

In  Matrix Form                            

[tex]\left[\begin{array}{cc}-3&9\\3&2\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}9\\13\end{array}\right][/tex]                  

Let A = [tex]\left[\begin{array}{cc}-3&9\\3&2\end{array}\right][/tex]    X =  [tex]\left[\begin{array}{c}x\\y\end{array}\right][/tex]  and B =    [tex]\left[\begin{array}{c}9\\13\end{array}\right][/tex]  

Then Mathematically AX= B

or X= A⁻¹ B

Where A⁻¹ = Adjacent A/ mod of A

Adjacent A =   [tex]\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right][/tex]    

Mod Of A= -6 - (27) = -33 which is not equal to zero

so Putting These values in the given formula

X= 1/-33    [tex]\left[\begin{array}{cc}2&-9\\-3&-3\end{array}\right][/tex]      [tex]\left[\begin{array}{c}9\\13\end{array}\right][/tex]  

Now Multiplying Rows and Columns

   [tex]\left[\begin{array}{c}x\\y\end{array}\right][/tex] = -1/33    [tex]\left[\begin{array}{cc}2*9+- 9*13\\-3*9 +- 3*13\end{array}\right][/tex]

Solving the Matrix we get

  [tex]\left[\begin{array}{c}x\\y\end{array}\right][/tex] = -1/33  [tex]\left[\begin{array}{cc}18-117\\-27-39\\\end{array}\right][/tex]

  [tex]\left[\begin{array}{c}x\\y\end{array}\right][/tex] = -1/33  [tex]\left[\begin{array}{cc}-99\\-66\end{array}\right][/tex]

From Here we find x= 99/33 or 3

and y = 66/33= 2

Answer:

Statistic, because it is a property of a sample and not the population.

Step-by-step explanation:

The difference between a parameter and an statistic is that the parameter is a property of a population distribution and an statistics is referred to a sample property.

For example, a sample mean is a statistic while a population mean is a parameter.

In t his case, the proportion is referring to the sample of 481 customers, so it is not a property of the population (altough we can use it to infere about the population), so this proportion (79%) is an statistic.

Answer:

20

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

Answer:

$36

Step-by-step explanation:

30 is 5/6 of the game, so we can think that 1/6 is equal to 6, since 5(6) is 30.

If we add another sixth, we get 36, which will be the total cost of the game.

Answer:

Step-by-step explanation:

First convert 3 minutes and 15 seconds into minutes by converting 15 sec to min and add it to 3min

60 sec = 1min

15 sec = 15 / 60 × 1 min

= 0.25min

Add it to 3min

3min + 0.25min = 3.25 min

We use ratio and proportion

3.25min = 104 copies

1 min = 104× 1/ 3.25

= 104 / 3.25

= 32

The final answer is 32 copies

Hope this helps you.

Answer:

Step-by-step explanation:

3 min 15 sec = 3*60 + 15 = 180 + 15 = 195 seconds

In 195 seconds 104 copies are made

In one second, the number of copies made = [tex]\frac{104}{195}\\[/tex]

In 60 seconds, the number of copies made = [tex]\frac{104}{195}*60[/tex]

                                                                       = 32 copies

It's Class B:

[tex]32\% \text{ of } 50 = 32\%\cdot50=\dfrac{32}{100}\cdot50 = \dfrac{32}{2}=16[/tex]

Answer:

From the analysis W1=W2.

they are directly related

Step-by-step explanation:

the work-done in stretching a spring can be expressed as

[tex]W=\frac{1}{2}kx^2[/tex]

where k= spring constant

           x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

[tex]W=\frac{1}{2}k*10^2\\\W=\frac{1}{2}k*100\\\W=50k[/tex]

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

[tex]W=\frac{1}{2}k*10^2\\\ W=\frac{1}{2}k*100\\\ W=50k[/tex]

Answer:

The sales tax is 2.10

Step-by-step explanation:

Take the price of the item and multiply by the sales tax rate to determine the tax

30 * 7%

30 * .07

2.10

The sales tax is 2.10