If the percentage of scores falling between the mean and a z score of 0.40 is 15.54, then what is the percentage of scores falling between the mean and a z score of –0.40? A. -15.54 B. 15.54 C. 34.46 D.-34.46

Answer:

2 to the power of 6

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 2

Answer:

(2x - 1) (4x + 3)

Step-by-step explanation:

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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A small number of individuals could cause a widespread distribution of the disease.

A researcher applying Watts's mathematical models to study the transmission of an airborne contagious disease can most reasonably assume that:

1. The disease transmission follows a network-based spread pattern.

In Watts's mathematical models, the focus is on network structures and the dynamics of spreading phenomena. Therefore, the researcher can reasonably assume that the transmission of the airborne contagious disease is influenced by the connections and interactions within a network. This implies that individuals are not randomly interacting but are part of a network where the disease can propagate along the links.

The spread of the disease is influenced by the characteristics of the network.

Watts's models highlight the importance of the network structure in determining the spread of contagion. Therefore, the researcher can reasonably assume that factors such as network connectivity, node centrality, clustering, and other network properties significantly influence the transmission dynamics of the airborne contagious disease. These characteristics can affect the speed, reach, and severity of the disease's spread within the network.

By considering these assumptions, the researcher can utilize Watts's mathematical models to gain insights into how an airborne contagious disease might spread through a network and inform strategies for disease control and prevention.

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Answer:

9.2*10^-7

Step-by-step explanation:

Move decimal until there is one number to the left.  The number of times moved will be the exponent.  If the decimal moves left the exponent is positive, if it moves left it is negative.

So 0.00000012=1.2*10^-7

1.2*10^-7 + 8*10^-7

9.2*10^-7

Answer:

2(3h^2+2)

Step-by-step explanation:

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Kaylee will have to pay $28 in interest.

The interest on a loan or principal sum can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.

The interest Kaylee will have to pay is calculated as follows:

Interest = Principal x Rate x Time

where Principal is the amount borrowed, Rate is the interest rate as a decimal, and Time is the time period in years. Since Kaylee has to pay back the loan in 24 months, or 2 years, we can plug in the given values to get:

Interest = 700 x 0.02 x 2 = $28

Therefore, Kaylee will have to pay $28 in interest.

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Answer:

45 with a remainder of 53

Step-by-step explanation:

There are also standardized test suites, such as the Diehard tests or NIST Statistical Test Suite, that provide a comprehensive set of tests to evaluate the randomness of a PRNG.

The two properties that random numbers are required to satisfy are:

1. Uniformity: Random numbers should be uniformly distributed across their range. This means that every possible value within the range has an equal chance of being generated.

2. Independence: Random numbers should be independent of each other. The value of one random number should not provide any information about the value of other random numbers.

To test whether the keystream generated by a Pseudo-Random Number Generator (PRNG) satisfies these properties, you can perform the following tests:

1. Uniformity Test:

  - Generate a large number of random values using the PRNG.

  - Divide the range of the random numbers into equal intervals or bins.

  - Count the number of random values that fall into each bin.

  - Perform a statistical test, such as the Chi-square test or Kolmogorov-Smirnov test, to check if the observed distribution of values across the bins is significantly different from the expected uniform distribution.

  - If the p-value of the statistical test is above a chosen significance level (e.g., 0.05), you can conclude that the PRNG satisfies the uniformity property.

2. Independence Test:

  - Generate a sequence of random values using the PRNG.

  - Check for any patterns or correlations in the sequence.

  - Perform various tests, such as auto-correlation tests or spectral tests, to examine if there are any statistically significant dependencies between consecutive values or subsequences.

  - If the tests indicate that there are no significant patterns or correlations in the sequence, you can conclude that the PRNG satisfies the independence property.

It's important to note that passing these tests does not guarantee absolute randomness, especially for PRNGs. However, satisfying these properties is an important characteristic of a good random number generator. There are also standardized test suites, such as the Diehard tests or NIST Statistical Test Suite, that provide a comprehensive set of tests to evaluate the randomness of a PRNG.

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The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

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Answer:

The same shape but aren't always the size. Corresponding angles must be congruent. Corresponding sides are proportional.

Step-by-step explanation:

Answer:

24

128 divided by 16 is 8

8 x 3 = 24

Step-by-step explanation:

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{12}{-1 +2} \implies \cfrac{ 12 }{ 1 } \implies 12\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 12}(x-\stackrel{x_1}{(-2)}) \implies y -6 = 12 ( x +2) \\\\\\ y-6=12x+24\implies {\Large \begin{array}{llll} y=12x+30 \end{array}}\)

Answer: The answer is 37.7

Step-by-step explanation: 2 x 3.14 x 6

2 times pi/3.14 times half of the diameter, which is 6.

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

Answer:

Step-by-step explanation

VOLUME=BASE*HEIGHT is the formula for volume of prism....

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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the answer is 120 just do 10*12

Answer:

The answer is 60.

Step-by-step explanation:

We are doing a triangle not a square, so divide 10*12 in half. What do you get? 60. That's your answer.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: Write the formula for calculating z-scores

By substitution,

Hence, the z score is approximately 0.44 to 2 decimal places

Answer:

-12

Step-by-step explanation:

-15+3=x

-12=x

Hope u liked it

Greetings from Brasil...

Here's our problem:

\(\large{\frac{12^{3}}{12^{7}}}\)

From potentiation properties:

Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ

division of power of the same base: I repeat the base and subtract the exponents

So, in our problem

\(\large{\frac{12^{3}}{12^{7}}}\) = 12³ ÷ 12⁷

12³ ÷ 12⁴ = 12³⁻⁷

12⁻⁴

We also know about another property: P⁻ⁿ = (1/Pⁿ) so

12⁻⁴ = (1/12⁴)

To find the second partial derivative ∂²f/∂y² of the function f(x, y) = xy⁶  + x² + y⁴ at the point (1, -1). Therefore, ∂²f/∂y² = 18.

The first step is to find the first partial derivative ∂f/∂y of the given function. To do this, differentiate each term of the function with respect to y while treating x as a constant. The derivative of xy⁶ with respect to y is 6xy⁵, the derivative of x² with respect to y is 0 (as x is constant), and the derivative of y⁴ with respect to y is 4y³. Summing up these derivatives, we get ∂f/∂y = 6xy⁵ + 4y³.

Moving on to the second step, we need to differentiate the expression ∂f/∂y obtained in the previous step with respect to y again. Applying the same rules of differentiation, we differentiate each term of ∂f/∂y with respect to y, treating x as a constant. The derivative of 6xy⁵ with respect to y is 30xy⁴, and the derivative of 4y³ with respect to y is 12y².

Now, in the final step, we substitute the given point (1, -1) into the resulting expression ∂²f/∂y² = 30xy⁴ + 12y². Plugging in x = 1 and y = -1, we have ∂²f/∂y² = 30(1)(-1)⁴ + 12(-1)² = 30 - 12 = 18.

Therefore, ∂²f/∂y² = 18 at the point (1, -1).

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Writing as an equation :

X = 0.475 + 0.56

Add:

X = 1.035

Answer:

1.035 is 0.475 more than 0.56

Therefore, with 10 yellows, approximately 12.5 blues would be expected based on the inverse variation relationship. Since we can't have a fraction of a blues, we can consider it as 12 blues.

If blues vary inversely as yellows squared, we can set up the inverse variation equation as follows:

blues * yellows^2 = constant

Let's assign the constant of variation as "k."

So, for the given scenario where 50 blues go with 5 yellows, we can substitute these values into the equation:

50 * 5^2 = k

Simplifying:

50 * 25 = k

k = 1250

Now, we can use this value of k to find out how many blues go with 10 yellows:

blues * 10^2 = 1250

100 * blues = 1250

blues = 1250 / 100

blues = 12.5

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The  p-value of zero, while theoretically possible is effectively impossible, a p-value of .00000 is written as is

option A, "< .01".

It is important to first understand what a p-value represents. A p-value is a statistical measure that indicates the likelihood of obtaining the observed results of a study or experiment by chance, assuming that there is no true effect or difference between groups.

In hypothesis testing, a p-value of less than .05 (or .01, depending on the level of significance chosen) is typically considered to be statistically significant, indicating that the observed results are unlikely to be due to chance alone.

However, a p-value of exactly zero is not possible, as it would mean that the observed results are absolutely certain and could not have occurred by chance. Therefore, a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" or something similar, indicating that the p-value is less than the chosen level of significance (in this case, .01).

Therefore, option A, "< .01", is the most accurate way to represent a p-value of .00000. The other options are either not precise enough (B and D), or incorrect (C and F).

A p-value of exactly zero is impossible, and a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" to indicate that it is less than the chosen level of significance.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?