What would you expect the shape of the sampling distribution for the sample proportion to be? A. Exponential B. Uniform C. Normal D. None of these

James says the fraction 3/4 has the same value as the expression 4 ÷ 3. I disagree with James' statement.

The fraction 3/4 is not the same as the expression 4 ÷ 3. A fraction can be interpreted as division of the numerator (top number) by the denominator (bottom number). In this case, 3/4 represents the division of 3 by 4, whereas 4 ÷ 3 represents the division of 4 by 3. These two expressions have different values and are not equal.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

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The value of r in permutation P(5, r) = 2P(6, r-1) is 11.  So, option d) is correct.

We know that the formula for the permutation of r objects taken from n distinct objects is P(n, r) = n! / (n-r)!. Using this formula, we can rewrite the given equation as:

5! / (5-r)! = 2 * 6! / (6-r+1)!

Simplifying this equation, we get:

5! / (5-r)! = 2 * 6! / (7-r)!

(5-r)! / 5! = (7-r)! / (2 * 6!)

(5-r)! / 5! = (7-r)! / 12

Since 5! = 120, we can simplify the left-hand side to:

(5-r)! / 120 = (7-r)! / 12

Multiplying both sides by 12, we get:

(5-r)! / 10 = (7-r)!

Multiplying both sides by 10, we get:

(5-r)! = 10 * (7-r)!

We can now manually try different values of r until we find one that satisfies the equation. Trying r = 3, we get:

(5-3)! = 10 * (7-3)!

2! = 10 * 4!

2 = 240

Since this is a contradiction, we can eliminate option (a) from the answer choices. Trying r = 5, we get:

(5-5)! = 10 * (7-5)!

1 = 20

Again, this is a contradiction, so we can eliminate option (b) from the answer choices. Trying r = 8, we get:

(5-8)! = 10 * (7-8)!

(-3)! = -10

Since the factorial of a negative number is undefined, this is not a valid solution, so we can eliminate option (c) from the answer choices. Therefore, the correct answer is (d) 11. Trying r = 11, we get:

(5-11)! = 10 * (7-11)!

(-6)! = 10 / 24

Simplifying the right-hand side, we get:

(-6)! = 5 / 12

Since the left-hand side is undefined for negative integers, we can eliminate this solution. Therefore, the only valid solution is r = 11, which we can confirm by checking that both sides of the equation are equal when r = 11. So, the correct answer is option (d).

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Whyte Clinic records an amount of $ 434100 as the cost for the land.

To purchase a land Whyte Clinic did costs:

Cost of Land is given by = $ 420000

Amount of property taxes due on the land is given by = $ 4500

The total fees for title and attorney is given by = $ 3000

The cost to grade the land is given by = $ 6600

So the total cost for the land recorded by the Whyte Clinic is given by

= $ (420000 + 4500 + 3000 + 6600)

= $ 434100

Hence Whyte Clinic records an amount of $ 434100 as the cost for the land.

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There will be 720 ways that can 3 boys and 3 girls sit in a row if only the boys must sit together.

A permutation is a conceivable order or arrangement for a group of items, especially one among several alternatives.

We need to figure out how to arrange 3 boys and 3 girls in a row.

The total number of ways that n objects can be put at r various locations in a line is known as the permutations of n different objects taken r at a time.

Given, 3 boys and 3 girls sit in a row.

ⁿPr = n! / (n - r)!

Total number of boys and girls, n = 3 + 3 = 6

So, ⁶P₆ = 6! / (6 - 6)!

= 6! / (0!)

We know, 0! = 1

So, ⁶P₆ = 6!

6 × 5 × 4 × 3 × 2 × 1

30 × 24 = 720

Therefore, 3 boys and 3 girls can sit in a row in 720 ways.

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Answer:

Step-by-step explanation:

30% mark represents:

So

The difference is:

Answer:

25 students

Step-by-step explanation:

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

it is Arthematic equation

A recursive formula is a formula that defines each term of a sequence using preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence.

so it is recursive equation

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

Answer:

x=53

Step-by-step explanation:

A quadrilateral has four sides, four vertices and its  interior angles that add to 360 degrees:.

360 -120-103-84-= x

360-307 = x

53 = x

Answer:

x=5

Step-by-step explanation:

Answer:

Wyzant

SOLVE IT

Chi Y. asked • 07/27/18

The sum of the digits of a 2-digit number is 14. If it’s digit are reversed, the original number is increased by 18. What is the number?

There is no format. I just the answer ASAP.

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Andy C. answered • 07/27/18

TUTOR 4.9 (27)

Math/Physics Tutor

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Here is the algebraic solution:

T is the tens digit

O is the ones digit

T+O = 14

So O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.

Answer:

60 miles per hour

Step-by-step explanation:

We need to simply divide the total distance he traveled by the total time it took him.

At 10:00 AM, he is 200 miles from New York.

At 12:00 PM, he is 80 miles from New York.

This means that 2 hours has elapsed and the distance he has traveled is:

200 - 80 = 120 miles

Therefore, his average speed is:

120 / 2 = 60 miles per hour

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:

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Answer: 126 marbles

Step-by-step explanation:

Let the marbles with Sam be x

so, marbles with Ravi will be 4x

we know total marbles are 630 which means

    x + 4x = 630

      x     =  126

so marbles with Sam & Ravi will be 126 & 504.

To make marbles equal each should have 315 marbles.

So, Ravi has to give 315 - 126 = 189 marbles to Sam.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}\)

\(A=2000\left(1+\frac{0.015}{1}\right)^{1\cdot 3}\implies A\approx 2091.36~\hfill \underset{earned~interest}{\stackrel{2091~~ - ~~2091.36}{\approx 91.36}}\)

The value of x from the shape is 5.6

Since the shapes are similar, hence the ratio of the sides is equal to a constant. Mathematically;

10/14 = 4/x

10x = 14 * 4

10x = 56

Divide both sides by 10

10x/10 = 56/10

x = 5.6

Hence the value of x is 5.6

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Answer:

X=5.6

Step-by-step explanation:

It is necessary to use the trigonometric identity: sin2 (β) + cos2 (β) = 1.

1) a. sin2 (β)In order to solve the problem.

Now, substituting these values in sin2(β),

sin2(β) = (sin(β))2sin

2(β) = (-√6/7)2 sin

2(β) = 6/7.

Now is cos 2(β) = 1/7.2) 10sin45.

cos45 = 10(sin45).

(cos45)Since sin45 = cos45

= 1/√2,10(sin45)(cos45)

= 10(1/√2)(1/√2)10(sin45)(cos45)

= 10/2.

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Answer:

Nope Nope

Step-by-step explanation:

Nevertheless

Answer:

\(10\)

Step-by-step explanation:

\(5m-4n+p\)

You would substitute in the given values and then combine like terms

\(m=4\\n=3\\p=2\)

\(5(4)-4(3)+(2) = 20-12+2=10\)

The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The pertinent data are:

Period Fertilizer Sales Number of Mowers Sold

1 1.6 12.0

2 1.3 10.0

3 1.8 13.0

4 2.0 15.0

5 2.2 15.0

6 1.5 11.0

7 1.6 12.0

8 1.4 10.0

9 1.8 13.0

10 1.4 10.0

11 1.9 15.0

12 1.4 11.0

13 1.7 14.0

14 1.4 13.0

To determine the correlation between the two variables

Regression equation ( y ) = a + bx

y = dependent variable ( mower )

x = independent variable ( fertilizer)

a = intercept point ( y-axis and regression line )

b = slope ( regression line )

From the given data;

N = 14 ,    Σ x = 22.8,  

Σy = 131,   Σy^2 = 1269,

Σx^2 = 38.18,      (Σx)^2 = 519.84

Σxy = 219.8,       (Σy)^2 = 17161

Hence, The correlation between variables (r) = 0.959, and signifies a positive relationship between the variables.

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a) The probability that a simple random sample of 50 ten-gram portions results in a mean of at least 3.6 insect fragments is approximately 0.027.

b) This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation.

c) More information about the distribution of insect fragments in the population and the context in which the samples were collected would be needed to draw more definitive conclusions.

To answer this question, we would need to know the distribution of insect fragments in the population from which the samples are drawn. Let's assume that this distribution is approximately normal with a mean of 3.2 insect fragments and a standard deviation of 0.8 insect fragments, as suggested by FDA guidelines for chocolate.

The distribution of the sample means for samples of size n can be approximated by a normal distribution with mean µ and standard deviation σ/√n. In this case, µ = 3.2 and σ/√n = 0.8/√50 = 0.113.

To find the probability that a sample of 50 ten-gram portions has a mean of at least 3.6 insect fragments, we need to find the area under the normal curve to the right of 3.6. Using a standard normal distribution table or a calculator, we find that this probability is approximately 0.027.

This result is somewhat unusual, as only about 2.7% of samples would be expected to have a mean of at least 3.6 insect fragments. However, it is not necessarily a cause for concern, as it is within the range of expected variation. If the sample mean was much higher, say 4.0 or 4.5, it would be more concerning and warrant further investigation.

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The number -14/11 belongs to the set of rational numbers.

The set of rational numbers includes all numbers that can be expressed as a fraction, where the numerator and denominator are integers. In this case, the number -14/11 can be written as a fraction with -14 as the numerator and 11 as the denominator. Since both -14 and 11 are integers, -14/11 is a rational number. Rational numbers can be positive or negative and can include whole numbers, integers, and fractions. It's important to note that not all numbers belong to the set of rational numbers. For example, irrational numbers such as the square root of 2 or pi cannot be expressed as fractions. However, in the case of -14/11, it can be expressed as a fraction, making it a rational number.

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Answer:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Step-by-step explanation:

The given equation is:

4x−8=2(2x−3)

We will try to translate the given equation in English.

We can see that the variable used is only one. On the left hand side of the equation 8 is being subtracted from 4 times of the variable and on the right hand side 3 is being subtracted from 2 times of variable and then being multiplied by two.

From the given option, correct answer is:

Eight less than four times a number is equal to two times the difference of double that same number decreased by three.

Answer:

13

Step-by-step explanation:

You take the number of miles from weeks 5-8 and add them up. 2+3+4+4=13

Answer:

24

Step-by-step explanation:

Answer:

55° and 76°

Step-by-step explanation:

An inscribed angle is half the measure of its intercepted arc.

(a)

∠ IDE = \(\frac{1}{2}\) × IE = 0.5 × 110° = 55°

(b)

arc TD = 2 × ∠ TED = 2 × 38° = 76°

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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The probability p(2) is 0.125e-0.5(e).

Given, Y follows a Poisson distribution, and p(0) = P(1).

The probability mass function of Poisson distribution is given by:

P(Y = y) = (e^(-λ)*λ^y) / y!

Let p(0) = P(1) = a, then using the Poisson distribution's probability mass function, we get:

P(Y=0) = a = (e^(-λ)*λ^0) / 0! => a = e^(-λ)

Also, P(Y=1) = a = (e^(-λ)λ^1) / 1! => a = λe^(-λ)

Solving these two equations, we get λ=1, and hence a = e^(-1).

Now, to find p(2), we can use the Poisson distribution's probability mass function and substitute λ=1:

P(Y=2) = (e^(-1)*1^2) / 2! = 0.125e^(-0.5)

Therefore, p(2) is 0.125e^-0.5(e).

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