Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.
Conjecture:

Answer:

31/256

Step-by-step explanation:

0.12109375 = 12109375/100000000

= 31/256

Dividing numerator and denominator by 390625.. we have the simplest solution

You can start out by dividing by 5 the numerator and denominator.you would see this division by 5 goes on 8 times

Or you can start out dividing both numerator and denominator by 25, we see this division goes on 4 times

Answer:

Step-by-step explanation:

0.12109375

=[tex]=\frac{12109375}{100,000,000} \\=\frac{484375}{4,000,000} \\=\frac{19375}{160000} \\=\frac{775}{6400} \\=\frac{31}{256}[/tex]

Answer:

I graphed all of the equations on the graph below.

Step-by-step explanation:

At the point (6,4), the equation [tex]x+y\ge10[/tex] uses 6 + 4 ≥ 10. Also, the equation [tex]2x+3y\le24[/tex] uses 2(6) + 3(4) ≤ 24.

If this answer is correct, please make me Brainliest!

Answer:

its A !!

Step-by-step explanation:

Answer:

Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.

Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.

And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.

In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.

Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.

Answer:

Each lunch cost $12.25

Step-by-step explanation:

Subtract 14.25 from 100 and then divide that by 7

Answer:

  f(m) = 0.128m

Step-by-step explanation:

cost per mile = (cost per gallon)/(miles per gallon) = $3.20/25 = $0.128

Then the desired function is ...

  f(m) = 0.128m

Answer:

Are you being timed??

Step-by-step explanation:

The graph of f(x) = sqrt(4x) looks like this

So choose the one that looks like the image attached

The graph has been plotted.

Graph is a mathematical representation of relation between two objects.

A graph is plotted between two variables that depicts the relation between them which is helpful in prediction of the pattern of the function that it is following.

A function is a relation between a dependent and an independent variable.

The domain and range of a function is always defined.

A domain is the value that can be an input to the function and a range is all the possible output value that can be obtained from the function.

The function is

F(x)=  √4x

A square root is the factor of a number when multiplied by itself gives the number itself.

A square root function is also called as a radical function represented by

y = √x

the domain of f(x)=√x is x≥0 and the range is y≥0

The graph of the function is plotted and attached with the answer.

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Answer:

I THINK ITS B

Step-by-step explanation:

Relax this isn't really that hard. We're given a triangle with coordinates

X(4,4), Y(12,12), Z(4,12)

and we're told to dilate it around the origin by scale factor 1/4.   The origin part makes it easy; this just means we multiply all the coordinates by 1/4.

So our new triangle is

X'(1,1), Y'(3,3), Z'(1,3)

which we plot in red.

Is that third page asking for the lengths?  We have

X'Y' is the hypotenuse of a right triangle with legs 2 and 2, so

|X'Y'| = 2√2

|Y'Z'| is 3-1 = 2

|Z'X'| = 2

The rule is

(x,y) → (x/4, y/4)

Scale factors are used to enlarge or reduce the size of a shape

The coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

The coordinates of the triangle are given as:

[tex]X = (4,4)[/tex]

[tex]Y = (12,12)[/tex]

[tex] Z = (4,12)[/tex]

The scale factor of dilation is given as:

[tex]k=\frac 14[/tex]

The coordinates of the new triangle after dilation are calculated as follows:

[tex]X' = (4,4) \times \frac 14[/tex]

[tex]X' = (1,1)[/tex]

[tex]Y' = (12,12) \times \frac 14[/tex]

[tex]Y' = (3,3)[/tex]

[tex]Z' = (4,12) \times \frac 14[/tex]

[tex]Z' = (1,3)[/tex]

So, the dilation rule is:

[tex](x,y) \to \frac 14(x,y)[/tex]

Hence, the coordinates of the dilated triangle are (1,1), (3,3) and (1,3)

See attachment for the image of the triangle

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Answer:

Step-by-step explanation:

Apparently, these sets represent sales of existing homes. Then (values of) the homes sold in 2010 are those listed in set B.

The English wording "West and Midwest" doesn't actually mean homes that are categorized as both West and Midwest. There aren't any such homes, because these sets are mutually exclusive. That wording logically means "West or Midwest", so would represent the union W ∪ M.

Then the homes in W∪M that were sold in 2010 will be ...

  B ∩ (W ∪ M) . . . . . matches the 3rd choice on the list

_____

The "cardinality" of a set is the number of elements in the set. Since the sets B and W and M are not shown, we cannot tell the cardinality.

Here, that word is apparently intended to mean the sum of the numbers designated as W and as M. For 2010, we have W=1.2, M=1.1, so ...

  for 2010, W +M = 1.2 +1.1 = 2.3 . . . million

Answer:

cone, [tex]\frac{1}{3}[/tex] , [tex]\frac{1}{3} \pi r^{2}h[/tex] , [tex]\pi r^{2}[/tex], base, h, height, same, [tex]\frac{1}{3}[/tex] , [tex]\frac{1}{3}[/tex] , 3

Step-by-step explanation:

The volume of a cone is equal to [tex]\frac{1}{3}[/tex] the volume of a cylinder that has the same base and height. The formula for the volume of a cone is [tex]\frac{1}{3}\pi r^{2}h[/tex].  stands for the area of the base and h is the height of the cone. Knowing this, we could quickly find the volume of a cone that has the same base and height as a cylinder with a volume of 9 cubic cm. Since the volume of a cone is [tex]\frac{1}{3}[/tex] the volume of a cylinder (with the same base and height), we would multiply 9*[tex]\frac{1}{3}[/tex] to obtain a volume of 3 cubic cm.

Answer:

53

Step-by-step explanation:

so you would subtract 30 from 401 to get 372 then divide it by the number of buses in this case it's 7 to get 53

Answer:

-995

Step-by-step explanation:

5(-2)^3 - 2 + 7

first you would multiply the 5 by -2

(-10)^3 - 2 + 7

then the exponents

-1000 - 2 + 7

then you would subtract -1000 by 2

-1002 + 7

then add the 7

-995

Answer:

It’s only sequence A I think

Step-by-step explanation:

I hope this was helpful

Answer:

Sequence A

Step-by-step explanation:

Answer:

The first step to solve the expression is to solve () i.e. (10-7) will be solved first.

Step-by-step explanation:

Any algebraic expression is solved as per BODMAS rule i.e. in the following sequential order (one after the other).

B - Bracket i.e. ()

O - Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

So, as per BODMAS rule, the bracket  i.e. () expression will be solved at first.

Solving the expression:

15 + 20 ÷ (10 – 7) + 12

[tex]\Rightarrow[/tex] 15 + 20 ÷ 3 + 12

[tex]\Rightarrow[/tex] 15 + 6.67 + 12

[tex]\Rightarrow[/tex] 21.67 + 12

[tex]\Rightarrow[/tex] 33.67

Hence, (10-7) will be evaluated first.

Answer:

10-7 will be done first.

Step-by-step explanation:

Answer:

The base is 7 and the height is 9.

Step-by-step explanation:

Answer:

The base is 7 and the height is 9.

Step-by-step explanation:

i got it correct on edge

Answer:

4096 horses, or 4 to the power of 6

Step-by-step explanation:

(4²)³×4 to the power of 0

We simplify the equation,

(16)³×4 to the power of 0

4096×1 (Since 4 to the power of 0 is 1)

= 4096 horses on the farm which is 4 to the power of 6

- Hope this helps!

Answer:

6 pounds

Step-by-step explanation:

Originally

Petra : 12 pounds

Ski: 0 pounds

Delivery job

Petra & Ski: Same amount.

Represent amount with 'D'

Total Amount

Petra: 12 + D pounds

Ski: D pounds.

Petra has three times as much as Ski, meaning

12 + D = 3 (D)

12 + D = 3D

12 = 3D - D

12 = 2D

Divide both sides by 2

6 = D...

Answer:

The slope is 2

Y-int is -4

Step-by-step explanation:

For the given equation, y=4−2x the slope and y-intercept of the line will be -2 and 4 respectively.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the equation is"y=4−2xy"

The given equation is of a straight line, A straight line is a combination of endless points joined on both sides of the point. A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

The given in form of a standard equation can be written as,

y=4−2x

y=-2x+4

Comparing the equation we get, the slope of the line as

m= -2

The intercept of the line is,

b= 4

Thus for the given equation, y=4−2x the slope and y-intercept of the line will be -2 and 4 respectively.

The question is incomplete, "the complete question is to find the slope and intercept for the given equation y=4−2xy."

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Answer:

408cm

Step-by-step explanation:

U got this

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.

The total surface area of the triangular prism will be

[tex]\rm Total\ area = 3(area \ of\ rectangle) + 2(area\ of \ triangle)[/tex]

The area of the triangle will be

[tex]\rm area\ of \ triangle = \dfrac{1}{2} * 2 * 4\\\\area\ of \ triangle = 4[/tex]

The area of the rectangle will be

[tex]\rm area\ of \ rectangle = 2 *1\\\\area\ of \ rectangle = 2[/tex]

Then the total area will be

[tex]\rm Total\ area = 2*4 + 3*2\\\\Total\ area = 8 + 6 \\\\Total\ area = 14[/tex]

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

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Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

[tex]\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2[/tex]

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92[/tex]

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5[/tex]

Then, the probability of getting a average score of 79 or higher is:

[tex]P(X>79)=P(z>-0.5)=0.69146[/tex]

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

Answer:

The experimental probability of tossing heads is

[tex]\frac{8}{20}=\frac{(8 \div 4)}{(20 \div4)} = \boxed{\frac{2}{5} } ✓ \\ [/tex]

Answer:

2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Given

2x² - 7x + 5

The coefficient of the x² term must be 1, thus factor out 2 from 2x² - 7x

= 2(x² - [tex]\frac{7}{2}[/tex] x ) + 5

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - [tex]\frac{7}{2}[/tex] x

= 2(x² + 2(- [tex]\frac{7}{4}[/tex] )x + [tex]\frac{49}{16}[/tex] - [tex]\frac{49}{16}[/tex] ) + 5

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{98}{16}[/tex] + 5

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{18}{16}[/tex]

= 2(x - [tex]\frac{7}{4}[/tex] )² - [tex]\frac{9}{8}[/tex]

Answer:

g(x) = 2(x - 1.75)^2 - 1.125.

Step-by-step explanation:

g(x) = 2x^2 – 7x + 5

First take the 2 out of the first  terms:

g(x) = 2(x^2 - 3.5x) + 5

Now complete the square on the expression in the parentheses:

g(x) = 2 [ (x - 1.75)^2 - 1.75^2] + 5

g(x) = 2 [ (x - 1.75)^2 - 3.0625] + 5

g(x) = 2(x - 1.75)^2 - 6.125 + 5

g(x) = 2(x - 1.75)^2 - 1.125.

Answer:

98% of confidence interval of Population proportion is determined by

(0.60683 ,0.67217)

Step-by-step explanation:

Given the sample size n = 1168

Given 747 out of 1168 female 12th graders said they always use a seatbelt when driving

The sample proportion 'p' = [tex]\frac{x}{n} = \frac{747}{1168} = 0.6395[/tex]

98% of confidence interval of Population proportion is determined by

[tex]p^{-} -Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^-)}{n} }, p^- +Z_{\frac{\alpha }{2} } \sqrt{\frac{p^-(1-p^-)}{n} } }[/tex]

The tabulated value Z₀.₀₂ score  = 2.326

[tex](0.6395 -2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} }, 0.6395 +2.326 \sqrt{\frac{0.6395(1-0.6395)}{1168} } })[/tex]

on calculation , we get

(0.6395 -0.03267 , 0.6395 +0.03267)

(0.60683 ,0.67217)

Answer:

[tex]f(x) -g(x) =(5x^3) +(-4x^2- 3x^2) + (0+2x) +(10-7)[/tex]

And if we simplify we got:

[tex]f(x) -g(x) =5x^3 -7x^2 +2x+ 3[/tex]

And the best option for this case is:

A) 5x3-7x2+2x+3

Step-by-step explanation:

For this case we have this function given:

[tex] f(x) = 5x^3 -4x^2 +10[/tex]

And we want to subracr from the last function this one:

[tex] g(x) =3x^2 -2x+7[/tex]

So we want to find [tex] f(x)-g(x)[/tex] and replacing we got:

[tex]f(x) -g(x) =(5x^3 -4x^2 +10) -(3x^2 -2x +7)[/tex]

And if we aggrupate the terms we got:

[tex]f(x) -g(x) =(5x^3) +(-4x^2- 3x^2) + (0+2x) +(10-7)[/tex]

And if we simplify we got:

[tex]f(x) -g(x) =5x^3 -7x^2 +2x+ 3[/tex]

And the best option for this case is:

A) 5x3-7x2+2x+3

Answer:

2

Step-by-step explanation:

the way I remember is that Egypt is always the top right country

2 is the number represents the country of Egypt. Hence, option B is correct.

In 1922, modern Egypt attained independence. Egypt and Syria formed the United Arab Republic from 1958 to 1961. The Arab Republic of Egypt, as it is officially known, has a surface area of 1 million km2, which is more than twice the size of the US State of California or roughly twice the size of France.

Egypt's history as a British colony lasted from 1882, when British troops invaded it during the Anglo-Egyptian War, to 1956, during the Suez Crisis, when the last British troops left Egypt in accordance with the 1954 Anglo-Egyptian Accord.

Modern Standard Arabic, which is used in most written documents and educational institutions, is Egypt's official language. Nevertheless, Modern Standard Arabic primarily describes Arabic's literary form, which is

Thus, option B is correct.

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Answer:

  y = negative 2 cosine (2 (x + pi)) minus 1

Step-by-step explanation:

The amplitude of the trig function will be half the difference of the minimum and maximum, so is ...

  A = (1 -(-3))/2 = 2

The coefficient of x is 2π divided by the period, so is ...

  B = (2π)/π = 2

The vertical offset is the average of the maximum and minimum:

  C = (1 +(-3))/2 = -1

Since the extreme negative value is at x=0, this can be the opposite of the cosine function:

  y = -A·cos(Bx) +C

The answer choices have a horizontal offset of pi, which does nothing, since the period is pi.

  y = -2cos(2(x+π)) -1

Answer:

C on E2020.

Step-by-step explanation:

Answer:

  a) Megan's total so far is 3 km more than necessary for an average of 15 km

  b) 22 km

Step-by-step explanation:

a) The total of differences from 15 is ...

  -1 + 8 + (-2) +(-2) = 3

Since this is more than 0, Megan's average is more than 15.

__

b) The total of differences from 17 is ...

  -3 +6 -4 -4 = -5

To increase her average to 17 km, Megan must walk 17+5 = 22 km on Friday.

_____

Comment on the approach

In general, I find it easier mentally to deal with small numbers than with larger ones. So adding small differences can be easier than computing larger sums.

a) By computing the difference from the supposed average, we have effectively found the difference of the sum of values from the total necessary to give the required average. That is, Megan's average would be 15 if her total distance were 4·15 = 60. Her total distance is (4·15 +3) = 63, so her average is more than 15.

b) By finding out how much the total is below that necessary for the desired average, we determine the amount above that average the final number needs to be.

  (14 -17) +(23 -17) +(13 -17) +(13 -17) +(Friday -17) = 0 . . . . the Friday value to make an average of 17

  14 +23 +13 +13 +Friday = 5·17 . . . . . . . add 5·17

  (14 +23 +13 +13 +Friday)/5 = 17 . . . . . . shows the Friday amount gives the required average

  Friday = 17 -((14 -17) +(23 -17) +(13 -17) +(13 -17)) . . . . first equation rearranged to show how we computed Friday

  Friday = 17 -(-5) = 17 +5 = 22

Answer:

4/3

Step-by-step explanation:

[tex] \frac{8}{9} \div \frac{6}{9} \\ \\ \implies \: \frac{8}{9} \times \frac{9}{6} \\ \\ \implies \: \frac{8}{1} \times \frac{1}{6} \\ \\ \implies \: {\boxed {\purple{\frac{4}{3} }}}[/tex]

[tex](-3\frac{1}{6}, \frac{2}{3} )[/tex]

Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

When the line segment is divided internally in the ration m:n, we use this formula.  That is when the point C lies somewhere between the points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC Such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

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