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Answer:

(a) 0.0329

(b) 0.3502

(c) It is not unusual for a broiler to weigh more than 1710 grams.

Step-by-step explanation:

Using the TI-84 Plus calculator:

z-score is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

mean is 1535 grams and standard deviation is 169 grams.

(a) What proportion of broilers weigh between 1136 and 1243 grams?

For x = 1136 grams

z = (x-μ)/σ

= 1136 - 1535/169

= -2.36095

Determining the probability value from Z-Table:

= P(x = 1136)

= P(z =-2.36095)

= 0.0091142

For x = 1243 grams

z = (x-μ)/σ

= 1243 - 1535/169

= -1.72781

Determining the probability value from Z-Table:

P(x = 1243) = 0.042011

The proportion of broilers weigh between 1136 and 1243 grams is calculated as:

P(x = 1243) - P(x = 1136)

= 0.042011 - 0.0091142

= 0.0328968

≈ 0.0329

(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?

For x = 1600 grams

z = (x-μ)/σ

= 1600 - 1535/169

= 0.38462

Determining the Probability value from Z-Table:

P(x<1600) = 0.64974

P(x>1600) = 1 - P(x<1600) = 0.35026

The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502

(c) Is it unusual for a broiler to weigh more than 1710 grams?

For x = 1600 grams

z = (x - μ)/σ

= 1710 - 1535/169

= 1.0355

P-value from Z-Table:

P(x < 1710) = 0.84978

P(x > 1710) = 1 - P(x < 1710) = 0.15022

From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.

Answer:

Hypotenuse = 5 in

Longer leg = 4 in

Shorter leg = 3 in

Step-by-step explanation

The longer leg = x

The shorter leg = x - 1

Now through Pythagoras theorem:

hyp^2 = leg1^2 + leg2^2

5^2 = x^2 + (x - 1)^2

25 = x^2 + x^2 - 2 x + 1^2

25 = 2 x^2 - 2 x + 1

2 x^2 - 2 x - 24 = 0

2 ( x^2 - x - 12) = 0

2 (x - 4) (x + 3) =0

then x = 4  or x = - 3

We use the positive answer since we are looking for a length

then longer leg is 4 inches long,

and therefore the shorter one is one inch shorter than 4 in . That is:

shorter leg = 3 inches

Answer:

64 or 81

Step-by-step explanation:

If it is 4^3 it would be 4*4*4=64

If it is 3^4 it would be 3*3*3*3=81

(I don't know which one your asking about so I put both)

The solution is ± √5

The value of the equation is given by x = ± √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

x² = 5   be equation (1)

On simplifying the equation , we get

x² = 5

Taking the radical form , radical notation is the usage of a root in an expression, such as the square or cube root

So , taking square roots on both sides of the equation , we get

The value of x = ±√5

Therefore , the value of A is ±√5

Hence , The value of the equation is given by x = ± √5

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Answer:

D and E

Step-by-step explanation:

y = (x + 1)²

If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.

If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.

If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.

If x = t − 1, then y = (t − 1 + 1)² = t².

If x = t, then y = (t + 1)² = t² + 2t + 1.

Answer:

170 rooms left to clean.

Step-by-step explanation:

If you are implying that there are 126 rooms for each floor of the 4 floors total.

Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.

This relationship can be given by:

#total rooms - #cleaned rooms = #rooms left to clean.

The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.

Now we have all the variables needed, and can solve for the missing one:

(126×4) - (334) = #rooms left to clean

504 - 334 = 170 = #rooms left to clean

Answer:

$251.25

Step-by-step explanation:

50.25*5= 251.25

Answer:

it should be 4:5 I hope that helps

Answer:

No

Step-by-step explanation:

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N  = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]

∴

[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]

[tex]p(4) = \dfrac{5*1 }{210}[/tex]

p(4) = 0.0238

p(4) = 2.38%

Answer:

I'm pretty sure its 56 inches squared  

Answer:

seven hundred twenty-seven and five hundred twenty-six thousandths

Step-by-step explanation:

Hope this helps:)

Answer:

Transitive

Step-by-step explanation:

It's like a train. Since bc is equal to xy and xy is 8.Then the value of xy equals to bc.

Answer:

14/24 and 3/24

Step-by-step explanation:

The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

Answer:

See below

Step-by-step explanation:

Solving inequality:

3 of provided answers are correct:

If given correct, any combination of two can be shown as answer:

Answer:

-12 and -9

Step-by-step explanation:

I just answered the problem on a quiz

Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.

A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.

To find how many cupcakes each friend gets we can use the unitary method.

Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.

∴ Each friend can have 13 cupcakes.

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Answer:

it would be b

Step-by-step explanation:

-.2 will cause reflection so eliminate a and c

if you do -1 than it will translate down so it has to be b

Answer:

f(x)= 0.2 (x - 2)^2 + 1

Step-by-step explanation:

I did the test.

Answer:

undefined

Step-by-step explanation:

the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.

If this helped, don't forget to mark it the brainliest:) have a nice day

Answer: N= -1/4

Step-by-step explanation:

2 can go into 5 2 times which give you 2 wholes and you have 1 left over

Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.

Answer:

80%

Step-by-step explanation:

lets say he gets x%, which is x/100.

then the equation is: 560/700=x/100

and to solve it, first multiply each side by 700: 560=7x

then divide both sides by 7, and you get: x=80

so the answer is 80%

Answer: (0, 1) Usually, we put the solutions in parenthesis.

Step-by-step explanation: x(x+1) = x(2) which = x²+ x = 2x = x² + x - 2x = 0

x² - x = 0. Now we divide by x which = x(x - 1) = 0 and the new solution set is x = 0 and x -1 = 0 which equals x = 1

Answer:

[tex]y = - \frac{2}{3} x + 7[/tex]

You get this equation when you plug in the values to find out the y intercept.

Answer:

1.811

Step-by-step explanation:

To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.

[tex]\frac{3}{4}=.75[/tex]

[tex]\frac{1}{8} =.125[/tex]

[tex]\frac{4}{5}=.8[/tex]

[tex]\frac{17}{125}=.136[/tex]

Then just add all the decimals together.

Answer:

Step-by-step explanation:

Given the function f(x) = tan (x)

From trigonometry identity, tan (x) = sin(x)/cos(x)

f(x) = sin(x)/cos(x)

Using the quotient rule to find the derivative of the function, we will have;

f'(x) = cos (x)cos (x) - sin (x)[-sin (x)]/ cos²x

f'(x) = cos²x - sin²x/ cos²x

Divide through by cos²x

f'(x) = cos²x/cos²x + sin²x/cos²x / cos²x/cos²x

f'(x) = 1 + sin²x/cos²x / 1

f'(x) = 1 + (sin²x/cos²x)

f'(x) = 1 + tan²x

From trig identity,  1 + tan²x = sec²x

Hence, f'(x) = sec²x

Hence the expression  f'(x)  in terms of the secant function is sec²x

f'(x) = 1/cos²x

For the function to be defined, it means that cos²x ≠ 0

cos²x ≠ 0

cos x ≠ 0

x ≠ cos⁻¹0

x ≠ 90⁰

Hence the value of x must not be equal to 90 for the function to be defined. x can be defined at when x = 0 since cos 0 = 1, the equation will  becomes f'(0) = 1/cos²0 = 1/1 = 1.

Hence the function is defined at 0≤x<90

Answer:

f(x) = 2 + x^3

Step-by-step explanation:

The function f(x)=2+x^3 satisfies all the values given in the table.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For the third option C we will check all the values of x in the function.

[tex]f(x)=2+x^3\\\\\\f(0)=2+0^3=2\\\\\\f(2)=2+2^3=2+8=10\\\\\\f(4)=2+4^3=2+64=66\\\\\\f(6)=2+6^3=2+216=218[/tex]

Hence the function f(x)=2+x^3 satisfies all the values given in the table.

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Answer:

Step-by-step explanation:

she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word

she can type 110 words in 5 minutes and 220 words in 10 minutes.

18:

multiply both sides

move the constants to the right

calculate

I added a picture if you need it. I hope this helps