Jack and Danny both have a test average of 88 in Biology. Jack's standard deviation is 1.231 and
Danny's standard deviation is 8.632. Write a sentence describing the differences in Jack’s and Danny’s test scores.

Answer:

1+1=2

Step-by-step explanation:

Thanks for the ponts

Answer:

D (x-8)(x-3)

Step-by-step explanation:

Answer:

Number of pennies = 11

Number of dimes = 11

Number of quarters = 8

Step-by-step explanation:

Given:

Total number of coins = 30

Number of pennies = Number of dimes

Total value = $3.21 = 321 penny

Computation:

Assume:

Number of pennies = x

So,

Number of dimes = x

Number of quarters = 30 -x- x = 30 - 2x

Value of pennies = x

Value of dimes = 10 x

Value value of quarters = 25[30 - 2x] = 750 - 50 x

Total value = x + 10x + 750 - 50x

39x = 429

x = 11

Number of pennies = 11

Number of dimes = 11

Number of quarters = 30 - 11 -11 = 8

Answer:

see below

Step-by-step explanation:

z+66+z+69+43z=180

so 45z=180-66-69 = 45

so z=1

so angle U= 43 its opposite side length ST is the smallest

same logic for the other 2.

66+1=67

69+1=70

so ST<US <TU

Standard form equation of given circle.

The standard form of the equation of a circle is (x - h)² + (y - k)²= r², where (h,k) is the center of the circle and r is the radius. To find the standard form of the equation of the circle in the graph, we need to first determine its center and radius.

We can see that the center of the circle is (-3,1) and its radius is the square root of 2. Using this information, we can plug these values into the standard form equation and simplify to get (x + 3)² + (y - 1)² = 2 as the standard form of the equation of the circle.

This means that any point (x,y) that satisfies this equation will lie on the circle with center (-3,1) and radius square root of 2.

Learn more about standard form

brainly.com/question/29000730

#SPJ11

Answer:

  see attached

Step-by-step explanation:

The left piece is a little tricky because it does not intersect the y-axis. You know it has a slope of -1, so it will be 1 unit higher than the y-intercept when it is 1 unit left of the y-axis. It ends at (-1, 3). The end point is not included in the definition of the relation, so an open circle is shown.

The right piece crosses the y-axis at y=-3, and has a slope of 2. It ends at (-1, -5). This end point is included, so a solid dot will be found at (-1, -5).

The relation is doubly-defined at x = -1, so there is another solid dot at (-1, -2).

__

Additional comment

It is incorrect to call this a function, because it fails the vertical line test at x = -1. There are two points on that vertical line. (You may want to discuss this question with your teacher.)

Answer: 1225

Step-by-step explanation:

Just plug in 350 for 'm':

3.5m

3.5m (350)

^^^^^^^^^^

times these two together, to get your final answer!

Multiply:

1225

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

Learn more about graph Visit: brainly.com/question/19040584

#SPJ4

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

Length: 44 metre

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

The coordinates of point M are (-6, 6.5). Option (B) is the correct answer.

We are given that S(-4, 5) is the midpoint of MP and the coordinates of P are (-8, 8). We want to find the coordinates of point M.

Since point S is the midpoint of MP, we can use the midpoint formula to find the coordinates of point M:

Midpoint formula: (xm, ym) = ((xp + xs)/2, (yp + ys)/2)

Substituting the given values, we get:

(xm, ym) = ((-8 - 4)/2, (8 + 5)/2)

(xm, ym) = (-6, 6.5)

The other points listed in the answer choices are not relevant to this problem.(option-b)

For such more questions on coordinates

https://brainly.com/question/29660530

#SPJ8

Using the midpoint formula to solve the equations gives us the coordinates of M as (0,2).

In mathematics, we can find the coordinates of the point M using the formula properties of a line division. Since S is the midpoint, that means it equally divides the line segment MP into two. The midpoint formula is M = [(x1+x2)/2 , (y1+y2)/2]. You have the coordinates of S(-4,5) and P(-8,8), so we can set up the following equations using the midpoint formula:
(-4+X)/2 = -8 and (5+Y)/2 = 8
Solving these equations for X and Y, we get X = 0 and Y = 2. Therefore, the coordinates of M would be (0,2), which is option O (0,2) in your given choices.

https://brainly.com/question/30764573

#SPJ2

Answer:

Hey there! Therefore, your discount would be 25%.

Step-by-step explanation:

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

Learn more about Simplex Algorithm here:

https://brainly.in/question/46895640

#SPJ11

Answer:

i belive the answer is c because they always try and trick you making you choose the wrong one and all the evidence cites that it could be c!!

Step-by-step explanation:

Answer: 4 units to the right

Step-by-step explanation:

i took the quiz

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

8y - 80

Step-by-step explanation:

    Perimeter, put simply, is all of the sides added up together. It will look like this:

(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)

    Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:

4(2y -10)

    Now we will distribute:

8y - 80

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Its jsut combining like terms

Perimeter is basically the out sides all  added up in this case everything is equal

so its

2y-10+2y-10+2y-10+2y-10

8y-40

8y-40 is your final answer

Answer:

40 units^2

Step-by-step explanation:

Answer:

  7 feet

Step-by-step explanation:

You want the height of a 6' by 12' cuboid box that has a total surface area of 396 square feet.

The formula for the surface area of a cuboid is ...

  SA = 2(LW +H(L+W))

For the given box, this is ...

  396 = 2(6·12 +H(6+12))

  198 = 72 +18H . . . . . . . . . . divide by 2

  126 = 18H . . . . . . . . . . . subtract 72

  7 = H . . . . . . . . . . . . divide by 18

The height of the box is 7 feet.

Answer:

o

Step-by-step explanatioon:

The probability that less than 7 of the 30 students are left-handed is given as follows:

0.9742 = 97.42%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The parameter values for this problem are given as follows:

n = 30, p = 0.1.

The probability that less than 7 of the 30 students are left-handed is given as follows:

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

Using a binomial distribution calculator with the parameter, finding each of the probabilities and adding them, we have that:

P(X < 7) = 0.9742 = 97.42%.

More can be learned about the binomial distribution at https://brainly.com/question/24756209

#SPJ1

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Based on the given information, you can borrow approximately $89,227.46 for the purchase of your first home if you can afford to make monthly payments of $500 with a 6% annual interest rate on a 30-year mortgage.

APR = \((FV / PV)^1^/^n\) - 1

Where:

APR = Annual Percentage Rate

FV = Future Value ($2,500,000)

PV = Present Value or initial investment ($800,000)

n = number of years (10 years)

Plugging in the values, we have: APR = \(($2,500,000 / $800,000)^1^/^1^0\) - 1

Calculating this expression, we find: APR ≈ 0.1153 or 11.53%

Therefore, the annual percentage rate of return on your investment in the cattle ranch is approximately 11.53%.

Regarding your question about how much you can borrow for the purchase of your first home, given that you can afford to make monthly payments of $500 and the annual interest rate is 6% on a 30-year mortgage, we can use the formula for loan amount calculation:

Loan Amount = (Monthly Payment / Monthly Interest Rate) * (1 - \((1 + Monthly Interest Rate)^-^N^u^m^b^e^r^ o^f^ M^o^n^t^h^s\))

Where:

Monthly Payment = $500

Annual Interest Rate = 6% or 0.06

Monthly Interest Rate = Annual Interest Rate / 12

Number of Months = 30 years * 12 months

Plugging in the values, we have:

Loan Amount = ($500 / (0.06 / 12)) * (1 - (1 + \((0.06 / 12))^-^3^0^ *^ 1^2\))

Calculating this expression, we find: Loan Amount ≈ $89,227.46

To learn more about interest click here: https://brainly.com/question/8100492

#SPJ11

Explaination:

Put a dot where all 4 lines meet (the + in the center). Go down one cube from there, then go right two (put a dot at the place you stop on). Now, go back to the center of the graph. Go up one, and then left two (make another dot here at the place yo ended on). Then, make a straight line that touches the two points nicely, and going straight through the center. Put arrows at each end of the line. I hope this helped!

This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

For more questions like Data click the link below:

https://brainly.com/question/10980404

#SPJ11