MATHEMATICS COLLEGE

A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 419 adults whether they think things in the country are going in the right direction or in the wrong direction, 54% said that things were going in the wrong direction. How many people would need to ve surveyed for a 90% confidence interval to ensure the margin or error would be less than 3%?

Answers

Answer 1

Answer:

Answer: 747

Step-by-step explanation:

When prior estimate of population proportion (p) is given , then the formula to find the sample size is given by :-

$n=p(1-p)((z^*)/(E))^2$

, where z* = Critical value and E = Margin of error.

As per given , we have

p= 0.54

E= 0.03

Critical value for 90% confidence : z* = 1.645

Then, the required sample size is given by :-

$n=0.54(1-0.54)((1.645)/(0.03))^2$

$n=0.2484(54.8333333333)^2$

$n=746.862899999\approx747$

Hence, the number of people would be needed = 747

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34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work
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Answers

Step-by-step explanation:

p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)

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The dew point in degrees Fahrenheit can be calculated with the formula DP - T-(100 - RH), where DP is the dew point, T is the dry-bulb temperature, and RH is the relative humidity. Which of these is the equation solved forRH?

Answers

The equation for Relative Humidity RH is Option 3.

RH = 100 - 25/9 ( T - DP )

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 ,

The dew point in degrees Fahrenheit is calculated by the equation ,

DP = T - 9/25 ( 100 - RH )

where ,

DP = Dew Point

T = Temperature of dry-bulb

RH = Relative Humidity

Now , to solve for Relative Humidity , the equation can be simplified as

DP = T - 9/25 ( 100 - RH )

So ,

Adding 9/25 ( 100 - RH ) on both sides , we get

DP + 9/25 ( 100 - RH ) = T

Subtracting DP on both sides , we get

9/25 ( 100 - RH ) = T - DP

Multiply by 25/9 on both sides , we get

( 100 - RH ) = 25/9 ( T - DP )

Adding RH on both sides , we get

100 = RH + 25/9 ( T - DP )

Now , subtracting 25/9 ( T - DP ) on both sides , we get

100 - 25/9 ( T - DP ) = RH

Therefore , RH = 100 - 25/9 ( T - DP )

Hence , the equation for Relative Humidity RH is given by

RH = 100 - 25/9 ( T - DP )

To learn more about equations click :

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Answer:D

Step-by-step explanation:

Plz help me simply this

Answers

Answer:

Step-by-step explanation:

$\sqrt[5]{u^(10)*p^(15)}*\sqrt[4]{u^(16)*p^(18)}= \sqrt[5]{u^(2*5)*p^(3*5)}*\sqrt[4]{u^(4*4)*p^(16*2)}\n\n\n=\sqrt[5]{(u^(2))^(5)*(p^(3))^(5)}*\sqrt[4]{(u^(4))^(4)*p^(4*4)*p^(2)}\n\n=\sqrt[5]{(u^(2))^(5)*(p^(3))^(5)}*\sqrt[4]{(u^(4))^(4)*(p^{4)^(4)}*p^(2)}\n\n=u^(2)*p^(3) * u^(4)*p^(4)*\sqrt[4]{p^(2)}\n\n=u^(2+4)*p^(3+4)*\sqrt[4]{p^(2)}\n\n= u^(6)p^(7)\sqrt[4]{p^(2)}$

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