Answer:
Tom can either take 24 kicks and make 16 goals or 30 kicks and make 20 goals.
Step-by-step explanation:
Andre made 4 goals out of 6 kicks.
Tom wants to take more than 20 kicks and to make an equivalent fraction to Andre.
<u>Possibility 1:</u>
Let Tom makes 24 kicks.
To get 24, we need to multiply the denominator of Andre's fraction by 4.
So, 
Therefore, Tom can take 24 kicks and make 16 goals.
<u>Possibility 2:</u>
Let Tom makes 30 kicks.
To get 30, we need to multiply the denominator of Andre's fraction by 5.
So, 
Therefore, Tom can take 30 kicks and make 20 goals.
Answer: 5
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)
the square root of 4^2 + 3^2 = c
c = 5
To find the decreased percentage,here's what we can do:

In this case,the eqaution would be:

Hope it helps!
Answer:
Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Step-by-step explanation:
We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.
If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.
Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.
<u></u>
<u>SO, Margin of error formula is given by;</u>
Margin of error =
where,
= significance level = 10%
= standard deviation = 2.0
n = number of families
Now, in the z table the critical value of x at 5% (
) level of significance is 1.645.
SO, Margin of error =
0.5 =

n =
= 43.3 ≈ 43
Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.