Answer:
Correct answer is:
Step-by-step explanation:
Given that Number of bracelets with yellow beads is represented by
Each bracelet with yellow beads is sold for $5.
Total money raised by bracelets with yellow beads = Number of bracelets sold Money raised by sale of one such bracelet =
Also Given that Number of bracelets with Orange beads is represented by
Each bracelet with orange beads is sold for $6.
Total money raised by bracelets with orange beads = Number of bracelets sold Money raised by sale of one such bracelet =
Given that total money raised by sale of both type of bracelets is $660.
so, the first equation becomes:
It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"
So, by equation (1) and (2), the system of equations is:
Answer:
The money they make on selling pies on Saturday is $68 (approximately).
Step-by-step explanation:
Given:
Cost of an apple pie is $9.75.
Total apple pie sold on Saturday is 7.
So, to get the total amount of apple pie sold on Saturday:
Total amount = $68.25.
Therefore, the money they make on selling pies on Saturday is $68 (approximately).
Answer:
Yes. There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Step-by-step explanation:
The sample of the remaining toothpaste is: [.53, .65, .46, .50, .37].
This sample has a size n=5, a mean M=0.502 and standard deviation s=0.102.
The 10% of the advertised content is:
Hypothesis test for the population mean:
The claim is that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a left-tailed test, with 4 degrees of freedom and t=-2.148, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.049) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the remaining toothpaste is significantly is less than 10% of the advertised net content.
Answer:
99.87% of the store’s total delivery orders will be delivered to consumers with charge
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?
Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.
has a pvalue of 0.9987
99.87% of the store’s total delivery orders will be delivered to consumers with charge