Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. W
2 answers:
Answer:
Option A. is the answer.
Step-by-step explanation:
Smith high school offers a baseball camp that is $75 for 4 days of camp and basketball camp with the charges $100 for 5 days.
It is for the sure that a camp which offers less charges for a day will be the better deal.
Per day cost of baseball camp =
Per day cost of basketball camp =
Now we have to find the difference of per day cost of the camps.
per day cost of basketball camp - per day cost of baseball camp
= 20 - 18.75
= $1.25
So baseball camp is a better deal by $1.25 a day.
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Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get
On putting the values in the above formula, we get
⇒
On applying cross-multiplication, we get
⇒
⇒
On subtracting "18x" from both sides, we get
⇒
⇒
On adding "2" both sides, we get
⇒
⇒
⇒
⇒
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°
Answer:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.
Step-by-step explanation:
To solve this question, we have to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly
This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So
X = 1900
By the Central Limit Theorem
has a pvalue of 0.9535.
X = 1300
has a pvalue of 0.0465.
0.9535 - 0.0465 = 0.907.
The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.