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2 years ago

Please, Help with this MATH question.

Mathematics

2 answers:

hammer [34]2 years ago

6 0

Y in the second equation

fiasKO [112]2 years ago

4 0

The x at the second one. I hope you are help

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A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is <u>2209</u>.

8 0

3 years ago

Sally's bank account has $650 in it. Every week, Sally withdraws $50 to pay for her dog sitter.

lawyer [7]

Answer:

11 weeks

Step-by-step explanation:

If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.

I hope this helps have a great day :)

8 0

2 years ago

X y

shutvik [7]

Step-by-step explanation:

the unit rate of y per x :

9/3 = 18/6 = 27/9 = 36/12

all the results = 3

the right answer is B) 3

7 0

3 years ago

Can anyone help me solve this

kumpel [21]

Answer:

The answer to your question is a = 40, b = 5/8

Step-by-step explanation:

Data

ab = 25

log₄a - log₄b = 3

Process

1.- Use the law log of a quotient

log₄ a/b = 3

2.- Convert the log to an exponent

a/b = 4³

a/b = 64 Equation l

ab = 25 Equation ll

3.- Solve equation l for a

a = 64b

4.- Substitute in equation ll

(64b)b = 25

-Simplify

64b² = 25

-Solve for b

b² = 25/64

b = 5/8

5.- Substitute the value of b to find a

a = 64(5/8)

-Simplification

a = 40

4 0

3 years ago

How do you write 3 times 3/5 as a mixed number

Korolek [52]

1 4/5
Hope it helps! :)

7 0

3 years ago

Read 2 more answers