The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point. b. Find the probability that a randomly selected turkey weighs below 12 pounds. Your answer is . Round to 3 decimals and keep '0' before the decimal point.

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

\(\\ \ast\sf\hookrightarrow AB+BC=AC\)

\(\\ \ast\sf\hookrightarrow 4x-1+2x-1=5x\)

\(\\ \ast\sf\hookrightarrow 6x-2=5x\)

\(\\ \ast\sf\hookrightarrow 6x-5x=2\)

\(\\ \ast\sf\hookrightarrow x=2\)

Answer:

50% I think

Step-by-step explanation:

Answer:

The car travels 25 miles per gallon of gas used

Step-by-step explanation:

Unit Rate

It's given a car uses 9.8 gallons of gas to travel 245 miles.

We have to calculate how many miles the car travels per gallon. The unit rate gives us that result by dividing the number of miles by the gallons used:

unit rate = 245 miles / 9.8 gallons = 25

The car travels 25 miles per gallon of gas used

Answer:

i think its A

Step-by-step explanation:

Answer:

32 kilometers

Step-by-step explanation:

65 - 33 = 32 kilometers

Hope this helps

Answer:

b = 56km is the answer.

Step-by-step explanation:

a (Northbound train) = 33km

b (Eastbound train) = ?

c (Distance between them) = 65km

According to the Pythagorean theorem,

a² + b² = c²

33² + b² = 65²

1089 + b² = 4225

b² = 4225 - 1089

b² = 3136

b = 56km

∴ the eastbound train has travelled 56km.

The counter example for the system of equation is given by x + y = 1 ,

-x - y = 1 has the result 0 = 2 but ( 0, 2 ) is not the solution of the equation. It proves statement is false.

As given in the question,

Form the given system of equations , using elimination method to get the solution of the equation which shows the result 0 = 2 is as follow:

a. x + y = 1

- x - y = -1

0 = 0

Not the required result.

b. x + y = 1

  x - y = 1

 2x = 2

Not a required result.

c. x + y = 1

  - x - y = 1

     0 = 2

Required result.

Analyze : substitute x = 0 and y = 2 in any one equation

0 + 2 = 1

or -0 -2 = 1

Both the equations proves that statement is false.

d. x + y = -1

  -x -y = -1

   0 = -2

Not a required result.

Therefore, the system of equation of option c.  x + y = 1 , -x - y = 1 has the result 0 = 2 and proves it is the false statement.

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Answer:

no fred is not correct

Step-by-step explanation:

so u say

5/8×6/1

then u say 5×6=30

then u say 8×1=8

then u say 30÷8= 3.75

so yr answer is =3.75

hope u understand

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

The volume of the cylinder is  

Using the volume of cone given by the formula

= π r² h/3

In the problem the volume is given by  222 and volume of cylinder is equal to

= π r² h

comparing the two volumes and taking proportions

volume of cone / volume of cylinder

π r² h/3 / π r² h = 222 / volume of cylinder

π r² h / 3 π r² h = 222 / volume of cylinder

1 / 3  = 222 / volume of cylinder

volume of cylinder = 3 * 222

volume of cylinder =  666

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a. It will take 7 months to pay off the credit card.

b. it will take 4 months to pay off the credit card.

Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.

a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.

We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:

PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)

where:

PV is the present value of the debt

PMT is the payment amount per period

r is the monthly interest rate

n is the number of periods

Substituting the values, we get:

754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV ×r / PMT)) / log(1 + r)

n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)

n = 6.18

Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.

b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.

754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)

Simplifying and solving for n, we get:

n = log(1 + (PV × r / PMT)) / log(1 + r)

n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)

n = 3.43

Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.

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Answer:

try 35?

Step-by-step explanation:

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

It is a structured visual representation of simplified thoughts, ideas, structures, relationships, statistical data, anatomy, etc. It can be used in any part of human activity to clarify a topic or provide an example of a topic.

Mind maps, flowcharts, fishbone diagrams, hierarchy/org charts, and SWOT analysis charts are the most common types of diagrams covered in this article. It is a structured visual representation of simplified thoughts, ideas, structures, relationships, statistical data, anatomy, etc. It can be used in any part of human activity to clarify a topic or provide an example of a topic.

A diagram that shows the parts of an object and their interrelationships is called a diagram.

It is a structured visual representation of thoughts, ideas, structures, relationships, statistical data, anatomy, etc. It's a simplification. It can be used in any part of human activity to clarify a topic or provide an example of a topic.

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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If you input 3 into the table, the resulting y value is 5

From the question, we have the following parameters that can be used in our computation:

x       y

-2    9

-1     1

0     2

1       3

2       4

From the above table of values, we can see that;

2 added to the value of x gives y

This means that

y = x + 2

When the input (x) is 3, we have

y = 3 + 2

Evaluate

y = 5

Hence, the output is 5

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Complete question

if you input 3 into the table below,what is the resulting y value

x       y

-2    9

-1     1

0     2

1       3

2       4

Answer:

I think

Category: Calculus and Above

Satisfied Customers: 18,226

Hope this help! Try my best :)

The calculated value of the cost of the printer ink per ounce is $1.99

From the question, we have the following parameters that can be used in our computation:

2300 ounces of printer ink costs $4,577

This means that

Ounces = 2300

Total costs = $4,577

using the above as a guide, we have the following:

Unit rate = Total costs / Ounces

substitute the known values in the above equation, so, we have the following representation

Unit rate = 4577 / 2300

Evaluate

Unit rate = 1.99

Hence, the printer ink costs $1.99 per ounce

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Answer:

6 hours

Step-by-step explanation:

Since the trucks are moving in exactly opposite directions, the relative speed is 48 + 64 = 112 mph

If they have to be 672 miles apart, then the time taken is 672/112 = 6 hours

Check
After 6 hours, the truck traveling south would have covered 48 * 6 = 288 miles south

The truck traveling north would have covered 64 * 6 = 384 miles north

The distance between them after 6 hours would be 288 + 384 = 672 miles

Answer:

80% chance of winning$100

Step-by-step explanation:

50/1000 , 10/1000

=> 0.05, 0.01

0.05 - 0.01

0.04 ÷ 0.05

0.8 × 100

=> 80%

the polynomial with x equal to 3. - 9x+5  The solution, which is an integer, is -22.

An integer is a whole number that is not a fraction and can be positive, negative, or zero. Integers include -5, 1, 5, 8, 97, and 3,043 as examples. Some instances of numbers that are not INTEGERS.

A fraction is a numerical value that is a part of an entire. A whole is evaluated by breaking it down into various components.. For instance, 12 represents a half of a full number or item.

in accordance with the stated fact;

-9x+5

put x=3 in given equation;

-9(3)+5

=-27+5

=-22

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Number of highways:

From Winston to Hamlin: 3

From Hamlin to Greenville: 4

From Greenville to Ocean City: 3

The total number of routes from Winston to Ocean city is the product of the number of highways from Winston to Hamlin, etc.

Finally:

Answer:

\(35.36,44.64\)

Step-by-step explanation:

Sample size \(n=40\)

Mean weight \(\=x =67\)

Standard deviation \(\sigma=11.4\)

Confidence Interval \(CI=0.99\)

\alpha==0.01

Therefore

\(Z_{\frac{\alpha}{2}}=Z_[0.005]\)

From table

\(Z_{\frac{\alpha}{2}}=2.576\)

Generally, the equation for Margin of error is mathematically given by

\(M.E=Z_{\frac{\alpha}{2}}*(\frac{\sigma}{sqrt{n}}\)

\(M.E=2.576*(\frac{11.4}{\sqrt{40}}\)

\(M.E=4.64\)

Therefore Estimated mean is

\(\=x-M.E<\mu <\=x +E\)

\(40-4.64<\mu< 40+4.64\)

\(35.36<\mu < 44.64\)

\(35.36,44.64\)

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The bird covered 34 metres of vertical space overall. Warm-blooded, feathery animals with the ability to fly are known as birds.

The bird soared 15 m above the water, dove 2 m vertically, and descended to a depth of the water that was 15 + 2 = 17 m below its starting height. The bird must fly 17 m vertically upwards in order to cover the same distance in the other direction in order to return to its starting height.

Consequently, the bird travelled a total vertical distance of 34 metres (17 metres when diving and 17 metres while returning to its starting height).

Hence, the bird covered 34 metres of vertical space overall.

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Answer:

0

Step-by-step explanation:

srry if it's wrong :/

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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