Anja represents the inequality 4-g/8 < - 15 with the phrase “the quotient of the difference of 4 and a number and 8 is at lea
2 answers:
Answer:
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Step-by-step explanation:
Given the statement:
Anja represents the inequality
with the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to
"at least" means
then;
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
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donuts and cream puffs were 45 & 4 respectively !
<u>Step-by-step explanation:</u>
Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:
Let number of donuts and cream puffs are x & y respectively ! So ,
- twice the number of donuts was only 6 less than 24 times the number of cream puffs
According to this statement equation is :
⇒
⇒ ................(1)
- 10 times the number of cream puffs was only 5 less than the number of donuts
According to this statement equation is :
⇒
⇒ ................(2)
Equation (1) & (2) :
⇒
⇒
⇒
Putting in
:
⇒
⇒
Therefore , donuts and cream puffs were 45 & 4 respectively !
Answer:
4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
Since Z > -2 and Z < 2, this outcome is not considered unusual.
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.
If or
, the outcome X is considered to be unusual.
In this question:
Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
This is the pvalue of Z when X = 5. So
has a pvalue of 0.0455.
4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.
Since Z > -2 and Z < 2, this outcome is not considered unusual.