Find the path of the numbers from the upper left corner to the bottom right corner. The sum of the numbers must be equal to the number at the exit arrow. You are allowed to move either down or to the right only.

Answer:

14    -50    -29    -541

Step-by-step explanation:

8-3=5-1=4+5=9-8=1+13=14-64=-50+21=-29-512=-541  

i got this by looking up sequence pattern finder in google and clicking on the second option then inserting the numbers you gave hope this helps

Answer:

The answer is only c) x=5

Step-by-step explanation:

|x| means that this is an absolute value. If the number is a negative, removing the value bars will make it a positive again. Positives stay positives. So the only answer greater than value of 2 is 5.

Answer:

The answer is

[tex]$ (3x^2 - 12x + 43) + \frac{-190}{(x+4)} $[/tex]

Where

Remainder = -190

quotient = [tex]3x^2 - 12x + 43[/tex]

Step-by-step explanation:

The dividend is given as

[tex]3x^3 - 5x -18[/tex]

The divisor is given as

[tex]x + 4[/tex]

Using the long division,

Multiply [tex](x + 4)[/tex] by [tex]3x^2[/tex]

Remainder:

[tex]-12x^2 - 5x -18[/tex]

Multiply [tex](x + 4)[/tex] by [tex]-12x[/tex]

Remainder:

[tex]43x - 18[/tex]

Multiply [tex](x + 4)[/tex] by [tex]43[/tex]

Remainder:

[tex]-190[/tex]

Therefore, the answer is

[tex]$ (3x^2 - 12x + 43) + \frac{-190}{(x+4)} $[/tex]

Where

Remainder = -190

quotient = [tex]3x^2 - 12x + 43[/tex]

Answer:

x=-2

Step-by-step explanation:

2 times -2=-4+3=-1

Answer:

Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.

Step-by-step explanation:

Given the vertices of a triangle as: A(3, 5), B(− 1, 5), and C(3,− 6)

Since A and B are on the same y-coordinate, we have that:

AB = 3-(-1)=4 Units

Since A and C are on the same x-coordinate, we have that:

AC=5-(-6)=11 Units

Next, we determine the distance BC using the distance formula.

Given: B(− 1, 5), and C(3,− 6)

[tex]BC=\sqrt{(3-(-1))^2+(-6-5)^2}\\= \sqrt{(4)^2+(-11)^2}=\sqrt{137}$ Units[/tex]

Therefore:

Perimeter of the Triangle

[tex]= 4+11+\sqrt{137}\\ =15+\sqrt{137}$ Units\\=26.7 Units[/tex]

On plotting the triangle, it forms a right triangle such that the:

Base = 4 Units

Height = 11 Units

Therefore:

Area of a triangle [tex]=\dfrac12 *Base*Height[/tex]

Therefore:

Area of the Triangle = 0.5 X 4 X 11

=22 Square Units.

Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.

Answer:

True.

Step-by-step explanation:

If we have for a sample of size n=25 a sample variance of 400, the standard error can be written as:

[tex]\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{\sqrt{400}}{\sqrt{25}}=\dfrac{20}{5}=4[/tex]

This way of calculating the standard error is the same used for estimating the standard deviation of the sample means for samples of size n=25.

Answer:

1 2/1 ÷1 1/2  = 2

Step-by-step explanation:

dividend ÷ divisor = quotient

1 2/1 ÷1 1/2  = 2

In order to solve this you need to make the mixed numbers into an improper fraction:

3/1 ÷ 3/2

use the KFC method (Keep Change Flip)

When you got to fractions you wanna divide flip the right and multiply

3/1 (2/3)= 2

Answer:

Base Side Length =1.59m

Height = 3.16 m

Step-by-step explanation:

Volume of the box = [tex]8$ m^3[/tex]

Let the base dimensions = x and y

Let the height of the box =h

However, for any optimal configuration, Width = Length as varying the length and width to be other than equal reduces the volume for the same total(w+l)

Volume, V=xyh=8

Since x=y

[tex]h=\dfrac{8}{x^2}[/tex]

Surface Area of the box

[tex]= 2(x^2+xh+xh)\\=2x^2+4xh[/tex]

The material for the top and bottom costs twice as much as the material for the sides.

Let the cost of the sides =$1 per square meter

Cost of the material for the sides = 4xh

Cost of the material for the top and bottom = [tex]=2*2x^2=4x^2[/tex]

Therefore:

Total Cost, [tex]C= 4xh+4x^2[/tex]

Substitution of  [tex]h=\frac{8}{x^2}[/tex]  into C

[tex]C= 4x(\frac{8}{x^2})+4x^2\\=\frac{32}{x}+4x^2\\C(x)=\dfrac{4x^3+32}{x}[/tex]

To minimize C(x), we find its derivative and solve for the critical points.

[tex]C'(x)=\dfrac{8x^3-32}{x^2}\\$Setting C'(x) to zero\\8x^3-32=0\\8x^3=32\\x^3=4\\x=\sqrt[3]{4}\\ x=1.59$ m[/tex]

To verify if it is a minimum, we use the second derivative test

[tex]C''(x)=8+\frac{64}{x^3}\\C''(1.59)=23.92[/tex]

Since C''(x) is greater than zero, it is a minimum point.

Recall:

[tex]h=\frac{8}{x^2}\\h=\frac{8}{1.59^2}=3.16$ m[/tex]

Therefore, the dimensions that minimizes the cost are:

Base Side Lengths of 1.59m; and

Height of 3.16 m

Answer:

Explanation:

F(2) means, value of function at x=2.

Here,you can see from the graph,from 0 to 4, it's a straight line and value of y is 2.

Hope this helps...

Good luck on your assignment....

Answer:

  (1, 2), (-2, -1)

Step-by-step explanation:

We can choose x = 1 and find y:

  y = 2/1 = 2

  (x, y) = (1, 2)

We can choose x = -2 and find y:

  y = 2/(-2) = -1

  (x, y) = (-2, -1)

Answer

3 5/6   or   3.83

Step-by-step explanation:

Answer:

The required matrix is[tex]A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right][/tex]

Step-by-step explanation:

Matrix of rotation:

[tex]P = \left[\begin{array}{ccc}cos\pi/4&-sin\pi/4\\sin\pi/4&cos\pi/4\end{array}\right][/tex]

[tex]P = \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right][/tex]

x' + iy' = (x + iy)(cosθ + isinθ)

x' = x cosθ - ysinθ

y' = x sinθ + ycosθ

In matrix form:

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}cos\theta&-sin\theta\\sin \theta&cos\theta\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

The matrix stretches by 1.8 on the x axis and 0.7 on the y axis

i.e. x' = 1.8x

y' = 0.7y

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right][/tex]

According to the question, the result is rotated by pi/3 clockwise radians

[tex]R = \left[\begin{array}{ccc}cos(-\pi/3)& -sin(-\pi/3)\\-sin(\pi/3)&cos(\pi/3)\end{array}\right][/tex]

[tex]R = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right][/tex]

To get the matrix A, we would multiply matrices R, Q and P together.

[tex]A = RQP = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right] \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right][/tex]

[tex]A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right][/tex]

Answer:

as probability of this is higher than 0.05 level this is not significantly high number .

Step-by-step explanation:

we have here a binomial distribution with the following data:

p = 0.76 and n = 8

therefore probability that a least 7 of the 8 adults require eyesight correction is P (X> = 7)

 P (X> = 7) = P (X = 7) + P (X = 8) = nCr * (p) ^ (n) * (1-p) ^ (n-r)

= (8C7) * (0.76) ^ 8 * (0.24) ^ (8-7) + (8C8) * (0.76) ^ 8 * (0.24) ^ (8-8)

nCr = n! / (r! * (n-r)!

replacing:

(8C7) = 8! / (7! * (8-7)!) = 8

(8C8) = 8! / (8! * (8-8)!) = 1

P (X> = 7) = 8 * 0.0267 + 1 * 0.11130 = 0.325

as probability of this is higher than 0.05 level this is not significantly high number .

Answer:

V= 452.39cm³ (to 2 d.p. )

S.A. = 326.73cm² (to 2 d.p. )

Step-by-step explanation:

Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )

S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under filling or overfilling is occurring. If the sample data lead to a conclusion of under filling or overfilling, the production line will be shut down and adjusted to obtain proper filling.

A. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.

B. Comment on the conclusion and the decision when H0 cannot be rejected.

C. Comment on the conclusion and the decision when H0 can be rejected.

Solution:

A) We would set up the hypothesis. Under filling or over filling means two ways. Thus, it is a two tailed test

For null hypothesis,

H0: μ = 32

For alternative hypothesis,

H1: μ ≠ 32

B) if H0 cannot be rejected, it means that there was insufficient evidence to reject it. Thus, it would be concluded that the production line operation filled the cartons with laundry detergent to a mean weight of 32 ounces.

C) There was sufficient evidence to reject the null hypothesis. Thus, it can be concluded that there was under filling or over filling.

Answer:

In that year approximately 2114 thousand people visited the park.

Step-by-step explanation:

Since the expression [tex]y(x) = -7.5*x^2 + 103*x + 2142[/tex] models the number of visitors in the park, where x represents the number of years after 2007 and 2021 is 14 years after that, then we need to find "y" for that as shown below.

[tex]y(14) = -7.5*(14)^2 + 103*14 + 2142\\y(14) = -7.5*196 + 1442 + 2142\\y(14) = -1470 + 3584\\y(14) = 2114[/tex]

In that year approximately 2114 thousand people visited the park.

Answer:

h < 2

Step-by-step explanation:

Step 1: Distribute

10h + 40 < 60

Step 2: Subtract 40 on both sides

10h < 20

Step 3: Divide both sides by 10

h < 2

Answer:

Step-by-step explanation:

A standard normal probability distribution is a normal distribution that has a mean of zero and a standard deviation of 1.

Answer:

a^x/y=1              x: 0

Step-by-step explanation: w.k.t,        a^0=1( any variable raised to 0 is 1)

                                    so, here the exponent is x/y which should have been 0 so that answer was 1.

Answer:

The value of α is 0.05.

Step-by-step explanation:

A poll of 1000 adults was conducted to determine their favorite pie.

The poll result states that among the 1000 ​respondents, 14 ​% chose chocolate​ pie, and the margin of error was given as plus or minus 3 percentage points.

[tex]\hat p=\text{Sample Proportion of adults who chose chocolate pie} = 0.14\\\hat q=\text{Sample Proportion of adults who did not chose chocolate pie}\\=1-\hat p\\=0.86\\n=\text{Sample size}=1000\\E=\text{Margin of Error}=0.03\\p=\text{Population Proportion of adults who chose chocolate pie}[/tex]

The confidence level is 95%.

Determine the value of significance level, α as follows:

[tex]\text{Confidence Level}=(1-\alpha)\%\\\\95\%=(1-\alpha)\%\\\\0.95=(1-\alpha)\\\\\alpha=1-0.95\\\\\alpha=0.05[/tex]

Thus, the value of α is 0.05.

Answer:

40 ml of 73% solution required and 80 ml of 13% solution

Step-by-step explanation:

Let x = amt of 58% solution

It say's the amt of the resulting mixture is to be 120 ml, therefore

(120-x) = amt of 13% solution

A typical mixture equation

0.73x + 0.13(120-x) = 0.33(120)

0.73x + 15.6 - 0.13x = 39.6

0.6x=24

x=40 ml of 73% solution required

and

120 - 40 =80 ml of 13% solution

Answer:

3 is the answer

Step-by-step explanation:

They are 8 blocks the ones shaded is the  denominator and the amount un-shaded are the numerator.

Answer:

B and C

Step-by-step explanation:

In order to know your x and y intercept, first rearrange your equation in the form ax+by=c

NB c should always be one so if you rearrange and c is not one, divide the whole equation by the no. represented by c, then to know your x and y intercepts look at the reciprocal of the coefficients of x and y

For example

B. -4x+2y= -6

divide the whole equation by -6 to get

2/3x-1/3y=1

hence the x intercept will be the reciprocal of the coefficient of x which is 3/2

y intercept will be the reciprocal of the coefficient of y which is -3

so if you look at the line, the equation applies

The same will apply to C

The solution is : B and C,

B. -4x+2y= -6 and, C. y = 3x - 2, could be the equation of the graph shown below.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

In order to know your x and y intercept, first rearrange your equation in the form ax+by=c

NB c should always be one so if you rearrange and c is not one, divide the whole equation by the no. represented by c, then to know your x and y intercepts look at the reciprocal of the coefficients of x and y

For example

B. -4x+2y= -6

divide the whole equation by -6 to get

2/3x-1/3y=1

hence the x intercept will be the reciprocal of the coefficient of x which is 3/2

y intercept will be the reciprocal of the coefficient of y which is -3

so if we look at the line, the equation applies

The same will apply to C. y = 3x - 2

This has positive slope and negative y-intercept, which are the characteristics of our graph.

Therefore this choice is correct.

Hence, B. -4x+2y= -6 and, C. y = 3x - 2, could be the equation of the graph shown below.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ7

Answer:

4x + 6

Step-by-step explanation:

[tex] \frac{x}{x² + 3x + 2} + \frac{3}{x + 1} [/tex]

To determine what the numerator would be, after simplifying both fractions, take the following steps:

Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.

Thus,

x² + 2x + x + 2

(x² + 2x) + (x + 2)

x(x + 2) +1(x + 2)

(x + 1)(x + 2)

We would now have the following as our new fractions to add together and simplify:

[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]

Step 2: find the highest common factor of the denominator of both fractions.

Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)

Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.

Thus,

[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]

[tex] \frac{x + 3(x + 2)}{(x + 1)(x + 2)} [/tex]

[tex] \frac{x + 3x + 6)}{(x + 1)(x + 2)} [/tex]

[tex] \frac{4x + 6)}{(x + 1)(x + 2)} [/tex]

Therefore, the numerator of the simplified form sum of both fractions = 4x + 6

Answer:

C - 4x+6

Explanation:

Edg2020

Answer:

-2√2.

Step-by-step explanation:

Treat the radical as if it were a variable.

3x  -    5x   = -2x

3√2 - 5√2 = -2√2.

Answer:

The guy above me is right, it is A

Step-by-step explanation:

I got that answer right on the Quiz... In total I got an 80% But this was one of the right answers.

Answer:

speed of slower driver 30 mph

speed of faster driver = 55 mph

Step-by-step explanation:

let the speed of slower driver b x mph

given

One driver drives 25 mph faster than another driver does

Speed of faster driver = (x+25) mph

we know time = speed / distance

also in same time faster will travel more distance than the slower one.

thus

driver with speed  (x+25) mph would have traveled 165 miles

driver with speed  x mph would have traveled 90 miles

time for driver with speed  (x+25) mph = 165/(x+25)

time for driver with speed  x mph = 90/x

Given that

They start at the same time and after a certain amount of time, one driver has driven 90 miles, and the other driver has driven 165 miles.

\time for driver with speed  (x+25) mph =time for driver with speed  x mph

165/(x+25) = 90/x

165x = 90(x+25)

=> 165x = 90x + 2250

=> 165x -90x = 2250

=> 75x = 2250

=> x = 2250/75= 30

Thus, speed of slower driver 30 mph

speed of faster driver = 30+25 = 55 mph

Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:

[tex]P = \frac{33}{65} \times 100\% = 51%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/14398287

#SPJ1

Answer:

It's A. 61% The dude above me is wrong.

Step-by-step explanation:

I just took the test

Answer:

The population under consideration in the data set are all the adults in the United States.

Step-by-step explanation:

Sampling

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

The population of interest are all the residents of New York State.

In this question:

Sample of 765 adults in the United states.

So the population under consideration in the data set are all the adults in the United States.

Answer:

240cm³

Step-by-step explanation:

First, let's assume the entire shape is full rectangular prism without that has the middle being cut out.

What this means is that, to get the volume of the solid made out of clay, we would calculate the solid as a full rectangular prism, then find the volume of the assumed middle cut-out portion. Then find the difference between both.

Let's solve:

Find the volume of the rectangular prism assuming the solid is full:

Volume of prism = width (w) × height (h) × length (l)

w = 4cm

h = 7cm

l = 3+6+3 = 12cm

Volume of full solid = 4*7*12 = 336cm³

Next, find the volume of the assumed cut-out portion using same formula for volume of rectangular prism:

w = 4cm

h = 7-3 = 4cm

l = 6cm

Volume of assumed cut-out portion = 4*4*6 = 96cm³

Volume of solid made from clay = 336cm³ - 96cm³ = 240cm³