Which of the following is true statement?

Answer:

Profit from selling n cakes = $6.75n - $86

Profit from selling 25 cakes = $82.75

Step-by-step explanation:

You are selling cakes at a bake sale for $6.75 each.

You spend $86 to buy ingredients and supplies.

Profit from selling n cakes is;

Profit = Selling price - cost price

Profit = $6.75n - $86

Profit for selling 25 cakes is;

Profit = $6.75(25) - $86 = $82.75

Answer:

plz ask question correctly

Answer:

x≤ -3/8

Step-by-step explanation:

[tex]4x\le \:-\frac{2}{5}\left(6x+6\right)\\[/tex]

Expand ;

[tex]\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}[/tex]

[tex]4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x[/tex]

Simplify

[tex]\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}[/tex]

Answer:

The critical region is t ≥ t(0.025, 7) = 2.365

Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.

Step-by-step explanation:

We set up our hypotheses as

H0: β= 0   the two variable X and Y are not related

Ha: β  ≠ 0. the two variables X and Y are related.

The significance level is set at α =0.05

The test statistic if, H0 is true, is  t= b/s_b

Where   Sb =S_yx/√(∑(X-X`)^2 )

Syx = √((∑(Y-Y`)^2 )/(n-2))

In the given question we have the estimated regression line as y= 0.449x - 30.27

X Y X2         Y2      XY

72 3 5184 9    216

85 7 7225 49    595

91 10 8281 100      910

90 10 8100 100      900

88 8 7744 64       704

98 15 9604 225      1470

75 4 5625 16       300

100 15 10000 225       1500

80 5 6400 25        400        

∑779 77 68163 813 6995

Now finding the variances

∑(Y-Y`)^2  = ∑〖Y^2- a〗 ∑Y- b∑XY

                      = 813 – (- 30.27)77 - 0.449(6995)

                       = 813+2330.79 – 3140.755

                       = 3.035

∑(X-X`)^2 =  ∑X^2  – (∑〖X)〗^2 /n

                   = 68163 – (779)2/9

                    = 736.22

Syx = √((∑(Y-Y`)^2 )/(n-2))  = √(3.035/7) = 0.65846 and

Sb =S_yx/√(∑(X-X`)^2 ) = (0.65846  )/27.13337 = 0.024267

t= b/s_b  = 0.449/ 0.024267 = 18.50249

The critical region is t ≥ t(0.025, 7) = 2.365

Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.

Answer:

3

Step-by-step explanation:

(20a - 1) ÷ b

a = 2

b = 13

(20(2) - 1) ÷ 13

(40-1)÷13

39÷ 13

= 3

answer: 32a^{13}b

your welcome

Answer:

2C - 58

Step-by-step explanation:

Chrissy = C

=> 2C - 58

I wrote 2C - 58 because 58 is decreased from 2 times C

=> 2 times C = 2C

=> 58 decreased = -58

=> 2C - 58

Answer:

angle ABD=1/2 angle ABC ,Angle CBD =1/2 angleCBD

Step-by-step explanation:

The measure of angles ∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

We have,

BD bisects the angle ABC makes two  equal halves angle.

So, < ABD= < CBD.

and ∠ABD= (8x + 35)°

∠CBD= (11x + 23)°

Substituting the values of the angles

(8x + 35)° = (11x + 23)°

35-23 = 11x- 8x

3x= 12

x= 4.

Putting x=4 in (i) we have,

∠ABD= 8(4) + 35

∠ABD= 67°

As ∠ABD = ∠CBD,

∠CBD= 67°

Now, ∠ABC= ∠ABD + ∠CBD

∠ABC= 67° + 67°

∠ABC= 134°.

Hence, the measure of m∠ABD= 67°, m∠CBD= 67° and m∠ABC= 134°.

Learn more about Angular bisector here:

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Complete Question

Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10.

(a) What is the probability that professor will arrive at place B?

(b) If Professor Jin arrives at place B, what is the probability that she chooses road IV?

Answer:

a

  [tex]P(B) = 0.36[/tex]

b

  [tex]P(4 /B) = 0.62[/tex]

Step-by-step explanation:

From the question we are told that

  The number of ways from A to B is  n =  4

   The  probability if road 1 is selected is  [tex]P(1) = \frac{1}{8}[/tex]

   The  probability if road 2 is selected is  [tex]P(2) = \frac{1}{6}[/tex]

    The  probability if road 3 is selected is [tex]P(3) = \frac{1}{4}[/tex]

    he  probability if road 4 is selected is [tex]P(4) = \frac{9}{10}[/tex]

The probability that professor will arrive at place B is mathematically represented as

      [tex]P(B) = \frac{1}{n} * P(1) + \frac{1}{n} * P(2) + \frac{1}{n} * P(3)+ \frac{1}{n} * P(4)[/tex]

      [tex]P(B) = \frac{1}{4} * \frac{1}{8} + \frac{1}{4} * \frac{1}{6} + \frac{1}{4} * \frac{1}{4} + \frac{1}{4} * \frac{9}{10}[/tex]

      [tex]P(B) = 0.36[/tex]

If Professor Jin arrives at place B, what is the probability that she chooses road IV is mathematically represented as

      [tex]P(4 /B) = \frac{ \frac{1}{n} * P(4)}{P(B)}[/tex]

=>     [tex]P(4 /B) = \frac{ \frac{1}{4} * \frac{9}{10} }{0.36}[/tex]

=>      [tex]P(4 /B) = 0.62[/tex]

Answer:

The  correct option is  B

Step-by-step explanation:

From the question we are told that

  The null hypothesis is  [tex]H_o : p = 0.10[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.10[/tex]

   The  p-value  is  [tex]p-value = 0.09[/tex]

   The  level of  significance is  [tex]\alpha = 0.025[/tex]

From the given values [tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis

So there is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.

Answer:

50 seconds

Step-by-step explanation:

2 boxes in 5 seconds

20÷2=10

10×5=50

50 seconds = 20 pizza boxes

Answer:

50

Step-by-step explanation:

2=5secs

20=?

to make 20 from 2 you do =2×10

so,

5×10=50seconds is the time he would take to assemble 20pizza boxes

Answer:

y= -1-2x

Step-by-step explanation:

[tex]4x + 2y = −2[/tex]

Move 4x to the right and change it's sign

[tex]2y = - 2 - 4x[/tex]

Divide through by 2

[tex] \frac{2y}{2} = \frac{ - 2}{2} - \frac{4x}{2} [/tex]

Simplify

[tex]y = - 1 - 2x[/tex]

Answer:

10 c

Step-by-step explanation:

4 c = 2 qt

8c + 2c = 10c

Answer:

5x - 2 = 8

5x = 8 + 2

5x = 10

x = 10/5

x = 2

Answer:

p= 47

Step-by-step explanation:

61 - p = 14

p = 61 - 14

p = 47.

Answer:

Infrared light

Step-by-step explanation:

Infrared cameras capture heat signals from living or warm objects. Body heat is given off as infrared energy; our natural eyes can't see it.

Answer:

Infra-red Light

Step-by-step explanation:

Answer:

B.) translation and rotation

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer/Step-by-step explanation:

Given:

m<EFH = (5x + 1)°

m<HFG = 62°

m<EFG = (18x + 11)°

Required:

1. Value of x

2. m<EFH

3. m<EFG

SOLUTION:

1. Value of x

m<EFH + m<HFG = m<EFG (angle addition postulate)

(5x + 1) + 62 = (18x + 11)

Solve for x using this equation

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

Subtract 18x from both sides

5x + 63 - 18x = 18x + 11 - 18x

-13x + 63 = 11

Subtract 63 from both sides

-13x + 63 - 63 = 11 - 63

-13x = -52

Divide both sides by -13

-13x/-13 = -52/-13

x = 4

2. m<EFH = 5x + 1

Plug in the value of x

m<EFH = 5(4) + 1 = 20 + 1 = 21°

3. m<EFG = 18x + 11

m<EFG = 18(4) + 11 = 72 + 11 = 83°

Answer:

yes

Step-by-step explanation:

yes because they are in the same line

[tex]\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

[tex]sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}[/tex]

Then,

[tex]\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10[/tex]

Thank you

Answer:

-10

Step-by-step explanation:

L' Hopital's rule can be used to solve it.

We search for lim (f(x)/g(x))

this is the same as lim (f' (x)/g' (x))

this is the same as lim f'' (x)/g'' (x)

so here we have f(x) =sin(4x)-4sin(x)

g(x)=x^3

g'' (x)= 6x

f'' (x)=-16sin(4x)+4sin(x)

so lim f'' (x) / g ''(x) = -16/6 lim sin(4x)/x + 4/6 lim (sin(x)/x)

= -16*4/6+4/6

=(-64+4)/6=-60/6=-10

Answer:

h = 2 (v − s²) / s

Step-by-step explanation:

v = s² + ½sh

Subtract s² from both sides.

v − s² = ½sh

Multiply both sides by 2.

2 (v − s²) = sh

Divide both sides by s.

2 (v − s²) / s = h

Answer: 4y - x = 8

y = 4x + 7

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.

y - 4x = 9

y = 9 + 4x (add 4x to both sides)

y = 4x + 9 (switch the constant and x-term)

This line has a slope of 4.

4x - y = 8

-y = 8 - 4x (subtract 4x from both sides)

y = -8 + 4x (divide both sides by -1)

y = 4x - 8 (switch the constant and x-term)

This line has a slope of 4.

4y - x = 8

4y = 8 + x (add x to both sides)

y = 8/4 + x/4 (divide both sides by 4)

y = x/4 + 2 (simplify and switch constant and x-term)

This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.

Answer: 4y - x = 8

Hoped I helped

Answer:

5

Step-by-step explanation:

Given the following :

Number of workers - - TVs produced

0 - - - - - - - - - - - - - - - - - 0

1 - - - - - - - - - - - - - - - - - - 35

2 - - - - - - - - - - - - - - - - - 68

3 - - - - - - - - - - - - - - - - - - 99

4 - - - - - - - - - - - - - - - - - - 128

5 - - - - - - - - - - - - - - - - - - 155

We need to calculate the marginal product :

Workers - - - marginal product - - - value of m/p

0 - - - - - - - - - - - ____ - - - - - - - - - - - - - - __

1 - - - - - - - - - - - 35 (35 - 0) - - - - - - 35000

2 - - - - - - - - - - - - 33 (68 - 35) - - - - 33000

3 - - - - - - - - - - - - 31 (99 - 68) - - - - - 31000

4 - - - - - - - - - - - - 29 (128 - 99) - - - - - 29000

5 - - - - - - - - - - - - 27 (155 - 128) - - - 27000

The marginal product shows the change in output due to one additional unit of a certain input of production, in this case, number of workers. If the going wage of workers is $16,000, the company can afford to hire up to 5 workers and still make profit.

Answer:

yes it think

Step-by-step explanation:

You are correct. A statistical question is one where you apply things like random sampling and averages to answer questions such as choice B. With that many people, there's variability in the height so there isn't one set height. So instead we have an average height.

The other questions are simple straightforward answers that don't require statistics. There isn't any variability in the dataset for these types of questions.

Answer:

Step-by-step explanation:

Let the initial point of of the sea level be 0. If the whale was initially 460 feet below sea level, then its distance from the surface of sea level to the 460ft below the sea level will be 460 - 0 = 460ft.

Also, if the whale rises up and breaches out of water to a height of 27 feet above sea level, then its distance from the surface of sea level to the 27ft above the sea level will be 0 - 27 = 27ft.

The vertical distance that the whale travels = distance from the sea level to 460ft below the sea level + distance from the sea level to 27ft above the sea level

The vertical distance that the whale travels  = 460ft + 27ft

The vertical distance that the whale travels  = 487ft

Answer:

Median is 78

Step-by-step explanation:

The median is the number where 50% of the other numbers are lower and 50% of the other numbers are higher, the middle, so in this case 78 is the middle number.

The median of the data sets 67, 98, 78, 75, 83, 44, and 98 will be 78.

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The data is given below.

67, 98, 78, 75, 83, 44, 98

Arrange the data set in ascending order, then the data set is given as,

44, 67, 75, 78, 83, 98, 98

The number of terms in the data set will be 7.

Then the median of the data set will be 78.

More about the median link is given below.

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Answer: x=15, y=10

*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.

Step-by-step explanation:

For this problem, we can use system of equations. Let's use x for one number and y for the other.

First Equation:

x+y=25

We get this equation because it states that the sum of the two numbers is 25.

Second Equation:

y=x-5

We get this equation because it says one number (y) is 5 less than the other (x).

Since we have two equations, we can use substitution method to solve.

[tex]x+(x-5)=25[/tex]                                  [distribute 1 to (x-5)]

[tex]x+x-5=25[/tex]                                     [combine like terms]

[tex]2x-5=25[/tex]                                         [add both sides by 5]

[tex]2x=30[/tex]                                                [divide both sides by 2]

[tex]x=15[/tex]

Now that we have x, we can plug it into any of the equations to find y.

[tex]x+y=25[/tex]                                          [plug in x=15]

[tex]15+y=25[/tex]                                         [subtract both sides by 15]

[tex]y=10[/tex]

Finally, we have our answer, x=15 and y=10.

Answer:25,-5

Step-by-step explanation:

Answer:

The answer is B, don't listen to the dude that said is A... A is wrong

Step-by-step explanation:

De nada :)

There are 4 coordinates which means we can make 4 points on the graph.

4 points is the correct answer.

Given,

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.

______________

|x| – 6 | –4   |  3  | 5|

|y| –4  | –6   | –6 | 0|

We need to find how many points should appear in Kelsey’s graph.

Coordinates are the points in a given plane.

The plane can be a two-dimensional plane or a three-dimensional plane.

In a two-dimensional plane the coordinates are represented as:

(x, y).

In a three-dimensional plane the coordinates are represented as:

(x, y, z).

Find the coordinates from the given table.

We have,

There are four x values and four y values.

So,

(x, y) = { (-6, -4), (-4, -6), (3, -6), (5, 0) }

We see that we can make 4 coordinates in the coordinate plane.

Thus there are 4 coordinates which means we can make 4 points on the graph.

Learn more about matching the coordinates with the points on the coordinate plane here:

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Answer: y=-8/5x+2

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b. We know that m is the slope and b is the y-intercept. We can determine that b=2 because the y-intercept passes through the y-axis. This line passes through the y-axis at y=2. Now, all we have to do is find the slope. We can do that by using any two points on the graph. Let's use (-5,10) and (5,-6). The formula for slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

[tex]m=\frac{-6-10}{5-(-5)} =\frac{-16}{10} =-\frac{8}{5}[/tex]

With our slope, we can piece together the slope-intercept form equation.

y=-8/5x+2