0. Juan has been saving for a new bike for two months. So far, he has saved
$150 for the bike. If the money that he has saved so far is 30% of the cost of
the bike, what is the total cost of the bike? Please help me

Given:

Juan has been saving for a new bike for two months. So far, he has saved $150 for the bike.

The money that he has saved so far is 30% of the cost of the bike.

We need to determine the total cost of the bike.

Total cost of the bike:

Let x denote the total cost of the bike.

The total cost of the bike is given by

The value of 30% can be written as

Thus, we get;

Multiplying both sides by , we have;

Simplifying, we have;

Thus, the value of x is 500.

Hence, the total cost of the bike is $500.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;