A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals .85. The probability that the sample proportion will be between .9115 and .946 is _____.

Remember that the domain is the numbers that x can take

x=5 has a domain of only 5

y = 1/x cannot have a value of x=0 because 1/0 is undefined

t = sqrt(x) cannot have negative values because sqrt( negative numbers) is not defined in the real number system

y = |x| is defined for all values of x so it has a domain of all real numbers

Answer:

a=2s-b-c

Step-by-step explanation:

2s=a+b+c

a=2s-b-c

Answer:

2s-c-b =a

Step-by-step explanation:

s = ( a+b+c)/2

Multiply each side by 2

2s = ( a+b+c)/2 *2

2s = a+b+c

Subtract c from each side

2s -c = a+b+c-c

2s -c = a+b

Subtract b from each side

2s-c-b = a+b-b

2s-c-b =a

Answer:Since -2 can not equal 0, there is no solution. The lines are parallel. It is an inconsistent system.

Step-by-step explanation:

The first step in solving a system of equations by substitution is solving one of the equations for one of the variables

x - y = 0 Equation 1

x - y + y = 0 +y Add y to each side

x = y Simplify

After solving an equation for one of the variables, substitute that value into the other equation. In this problem, I can substitute y for x.

x - y - 2 = 0 Equation 2

y - y - 2 = 0 Substitute the value of x from equation 1

0 - 2 = 0 Inverse Property of addition

-2 = 0 Identity Property of addition

Based on the general form of a wave function, the times the frequencies of the sound waves be the same in the interval [0°, 360°) is x = 180°, 210°, 270°, 330°.

Frequency is the number of vibrations of a wave per second.

The period of a wave is the time taken for one complete vibration.

Frequency and Period are inversely related.

Using the general form of a wave function:

where;

From the two wave functions:

y = 2sin2x

b = 2

period = 2π/2

period = π = 180°

Frequency =

y = −sin x

b = 1

Period = 2π/1

Period = 2π = 360°

Therefore, the times the frequencies of the sound waves be the same in the interval [0°, 360°) is x = 180°, 210°, 270°, 330°.

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Answer:

x = 0°, 180°, 210°, 330°

If you were to graph the two functions those would be the intersection points (after converting from radians to degrees)

Answer:

1 - 0.9887 = 0.0113

Step-by-step explanation:

The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

Step-by-step explanation:

15+5x=20x

   -5x  -5x  => Subtract 5x from each side

You get

15 = 15x

Divide both sides by 15

1=x

Answer:

For the points (0, 0) and (5, 3), the numerical expression 3 − 0 gives the rise and the numerical expression 5 − 0 gives the run.

Step-by-step explanation:

Answer:

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The last part is -8, which means 8 fewer.

Answer:

20

Step-by-step explanation:

Technically cats only have one life even though they can survive falls and such

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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9514 1404 393

Answer:

  C)  Peta, because she invests the most

Step-by-step explanation:

The additional $70 that Peta invests is equivalent to more than 2 years' interest at either of the other rates. Not only does Peta invest more money, she does so at a higher interest rate.

Peta will have the most money in her account when she closes it.

__

The balances will be ...

  Joan $490.02

  Peta $548.21

  Linda $420.00

Answer: I would believe all you have to do is round up making the number 658 lad :)

Step-by-step explanation:

Have a good day :)

Stay safe and stay awesome :D

Hence, after finding the solution, Jimmy discovered 16 dimes and 15 nickels. By assuming variables, this problem can be resolved.

In mathematics, a variable is a symbol or letter that designates a value of the variable or amount. Variables are fundamental to many fields of science, technology, and mathematics and are used to formulate and solve equations.

Let's use constants to depict Jimmy's discovery of nickels and dimes.

Let x be the quantity of nickels and y be the quantity of dimes.

We may create the following pair of equations using the data:

Formula 1: x + y = 31 

Equation 2 reads: 0.05x + 0.10y = 2.35, which equals the total worth of the coins at $2.35.

The methods of substitution and elimination can be used to calculate the characteristics of x and y. Substitutions made

Equation 1 might be used to convert this x into units of y: x = 31 - y

In Equation 2, replace x with the following expression: 0.05(31 - y) + 0.10y = 2.35

Simplify the equation and find y as follows: 1.55 - 0.05y + 0.10y = 2.35 0.05y = 0.80 y = 16

Jimmy therefore found 16 pennies.

Equation 1 can be changed to y = 16 to determine the amount of nickels: x + 16 = 31 x = 15

Jimmy therefore discovered 15 nickels.

Jimmy discovered 16 dimes and 15 nickels as a result.

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If all nickels and dimes and came out to a total amount of $2.35. Jimmy found 15 nickels and 16 dimes.

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's assume that Jimmy found x number of nickels and y number of dimes. Then we can write two equations based on the given information:

The total number of coins is 31:

x + y = 31

The total value of the coins is $2.35:

0.05x + 0.10y = 2.35

To solve for x and y, we can use the first equation to solve for x in terms of y:

x = 31 - y

Then we can substitute this expression for x into the second equation:

0.05(31 - y) + 0.10y = 2.35

1.55 - 0.05y + 0.10y = 2.35

0.05y = 0.80

y = 16

So Jimmy found 16 dimes. To find the number of nickels, we can substitute this value of y into either of the two equations we started with. Let's use the first equation:

x + y = 31

x + 16 = 31

x = 15

Therefore, Jimmy found 15 nickels and 16 dimes.

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Answer:6.986

Step-by-step explanation:

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

Answer: Standard deviation is 6.986.

Step-by-step explanation:

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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Answer:

$500625

Step-by-step explanation:

$27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?  A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.     area shape square = 450 *450 Square Area = 202500 SQft  perimeter = 450* 4 =1800 Ft  TRIANGLE = Hypotenuse is given by formula H=B√2 but height is already given = 120 and 255 area = Height  * Base = 120 * 255 =Triangle Area = 30600 feet squared     perimeter = 255 * 3 = 765 Ft   fence perimeter is 765-255 = 510 feet   total area = 202500+ 30600= 233100 square foot = 233100* $2 = (*2) = $466200  total fence = 765+510 = 1275 feet = 1275(*$27) = $34425   Total cost =   466200+34425 = $500625

Answer: i cant see thw whoke length but if both are 8 if 32

Step-by-step explanation:

8 × 2 16 then if the other sides 8 8×2 = 16 16+16 =32

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

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Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

Answer:

0.75609 repeating or 31/41 as a fraction.

There is no other way to write this decimal.

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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Answer:

139

Step-by-step explanation:

Since the given is a parallelogram then angle <D and angle <B are equal angles

10x - 21 = 9x - 5

10x - 9x = 21 - 5

x = 16 replace x with 16 to find the measure of angle <B

16*9 - 5 = 139

We need to find the y-intercept of the equation.

For this, we need to use the slope-intercept form:

Where m represents the slope and b the y-intercept.

Now, to get the form, we need to solve the equation for y:

Then:

Solving for y:

Add both sides 5x:

Divide both sides by 3

We can rewrite the expression as:

Where 5/3x represents the slope and 10 represents the y-intercept.

The y-intercept represents when the graph of the equations intersects with the y-axis, therefore, it can be written as the ordered pair (0,10).

Answer:

Top Right: 26

Bottom Right: 16

Top Left: 36

Bottom Left: 20

Center: 26

Step-by-step explanation:

TR: 5 + 3 + 12 + 6 = 26

BR: 2 + 2 + 4 + 5 + 3 = 16

TL: 14 + 10 + 8 + 3 + 1 = 36

BL: 6 + 6 + 2 + 2 + 2 + 2 = 20

Center: 2 + 2 + 8 + 8 + 6 = 26

Answer: $240.75

Step-by-step explanation:

The number is 66.

A constituent which is a prime number.

Or, any prime number that may be multiplied by itself to get the original number.

Example: The prime factors of 15 are 3 and 5 (because 3×5=15, and 3 and 5 are prime numbers).

Given:

A number is between 64 and 69.

It has prime factors of 2 and 11.

The numbers between 64 and 69 are 65, 66, 67, 68

and, the number which have prime factors as 2 and 11 is 66.

Hence, the number is 66.

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Answer:

  7.2 cm

Step-by-step explanation:

You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.

Simplifying gives ...

  4^2 + 6^2 = C^2

  16 +36 = C^2 = 52

  C = √52 ≈ 7.2

The length of the missing side is about 7.2 cm.

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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