Corn: In a prior sample of corn, farmer Carl finds that 14% of the sample has worms but the margin of error for his population estimate was too large. He wants to set the margin of error to be 1.5% at the 95% confidence level. Enter your answers as whole numbers. What is the minimum sample size required for this type of accuracy? What is the minimum sample size needed if we have no prior knowledge of the sample proportion

Answer:

36 Bins are needed .

Step-by-step explanation:

3×2×1.5/12×8×6

= 36

Answer:

80

Step-by-step explanation:

because 16 decided by 0.2 is 80

hope this helps!!!!

Step-by-step explanation:

and his did u use adding if it's adding or

anything I can help!

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Probabilities are used to determine the chance of events.

Let:

\(A \to\) Japanese American

\(B \to\)  Smokes 21 to 30 cigarettes per day

The meaning of A u B is:

We want to select a Japanese American or someone whose smoking level is 21-30 cigarettes per day

The probability is calculated as follows:

\(P(A\ u\ B) = \frac{n(A) + n(B) - n(A\ n\ B)}{Total}\)

From the table (see attachment), we have:

\(n(A) = 26078\)

\(n(B) = 15273\)

\(n(A\ n\ B) = 4715\)

\(Total = 100450\)

So, we have:

\(P(A\ u\ B) = \frac{26068+ 15273 - 4715}{100450}\)

\(P(A\ u\ B) = \frac{36626}{100450}\)

\(P(A\ u\ B) = 0.365\)

Hence, the probability is 0.365

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Answer:

21

Step-by-step explanation:

Answer:

it's b, it says I need to write 20 characters so here haha

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Answer:

Isosceles triangle is the shape which has exactly one line of symmetry.

Answer:

the graph has the largest slope. the slope is 5/2

Step-by-step explanation:

the slope of y=2x+4 is 2.

to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.

to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.

1<2<5/2, so the graph has the largest slope.

Answer:

vertical shift is 3 units down

horizontal shift is 2 units left

Step-by-step explanation:

y=srx+2-3

vertical shift is 3 units down

horizontal shift is 2 units left

Answer:

< 6 = 58°

< 8 = 58°

< 5 = 122°

<7 = 122°

Step-by-step explanation:

<6 = <8 because corresponding angles are equal

5y + 13 = 7y -5  Subtract 5 y from both sides

13 = 2y -5  Add 5 to both sides

18 = 2y

9 = y

Now that we know that y = 9, we plug it back into either equation

5y + 13

5(9) + 13

45 + 13

58

<5 is supplemental to <6  so 180 - 58 = 122

<8 is supplemental to < 7 so it is 122 also

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

I need points sorry

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

When you factor it out, you get:

\(64x^6 + 192x^5y +240x^4y^2 + 160x^3y^3 + 60x^2y^4 +12xy^5 + y^6\)

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

the shaded area is a fraction and the unshaded is the decimal

The equation of the line in slope - intercept form is -

y = - 5x + 77.

The equation of a straight line in slope - intercept form is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation as -

77 - y = 5x

We have the equation in the slope - intercept form as -

77 - y = 5x

y = 77 - 5x

y = - 5x + 77

Therefore, the equation of the line in slope - intercept form is -

y = - 5x + 77.

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Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

To create a stem-and-leaf plot for the data:

• Use the first two digits to represent the stem.

• Use the third digit to represent the leaf.

For example, 32 | 5 represents 325

Given the amount earned:

325,326,311,329,325,310,301,319,329,311,304,322,311,301, and 328

Arrange those that have the same first two digits together:

• 301,301,304

• 310,311,311,311,319

• 322,325,325,326,328,329,329

The stem-and-leaf plot is attached below:

Answer:

No, they are not equivalent.

Step-by-step explanation:

2^5 means 2 to the 5th power, so we multiply it by itself 5 times.

2x2x2x2x2=32

Same as 5^2

5x5=25

32>25

There is your answer, no.

Answer:

What is the title of this math

Answer:

See below

Step-by-step explanation:

Vertically, the numbers are separated by 10. Horizontally, the numbers are separated by 1. Thus, these are the answers:

    2

11 12 13

   22

     16

25 26 27

     36

    29

38 39 40

    49

    37

46 47 48

     57

    48

57 58 59

    68

    52

61 62 63

    72

    63

72 73 74

    83

     74

83 84 85

     94

    45

54 55 56

     65

These are just a few examples of how positive and negative numbers are used in everyday life. Understanding and using them correctly is essential for various fields, including mathematics, finance, science, and navigation.

Positive and negative numbers are commonly used in everyday life for a variety of purposes. Here are some examples:

Temperature: Positive and negative numbers are used to represent temperature. Positive numbers indicate higher temperatures, while negative numbers represent lower temperatures. For instance, if the temperature is 10 degrees Celsius, it is represented as +10°C, and if the temperature is -5 degrees Celsius, it is represented as -5°C.

Financial Transactions: Positive and negative numbers are used in financial transactions. Positive numbers represent income, gains, or credits, while negative numbers represent expenses, losses, or debits. When managing bank accounts or budgeting, positive and negative numbers are used to track inflows and outflows of money.

Direction and Coordinates: Positive and negative numbers are used to indicate direction and coordinates. In navigation, positive and negative numbers are used to represent east and west directions or north and south coordinates. For example, a latitude of +40 degrees represents a location north of the equator, while a longitude of -75 degrees represents a location west of the prime meridian.

Sports Scores: Positive and negative numbers are used to keep track of scores in sports. In games such as basketball, soccer, or football, positive numbers represent points scored by a team, while negative numbers represent points scored against the team.

Elevations: Positive and negative numbers are used to represent elevations or heights above or below sea level. Positive numbers indicate locations above sea level, while negative numbers represent locations below sea level. This is particularly relevant in geography, construction, and aviation.

Debt and Credit: Positive and negative numbers are used to represent debt and credit. Positive numbers indicate money owed or credit received, while negative numbers represent payments made or credit used. It is commonly used in accounting, loans, credit cards, and personal finance.

These are just a few examples of how positive and negative numbers are used in everyday life. Understanding and using them correctly is essential for various fields, including mathematics, finance, science, and navigation.

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It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)