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GCF(3, 24, 27) = 3
Steps:
Prime factorization of the numbers:
3 = 3
24 = 2 × 2 × 2 × 3
27 = 3 × 3 × 3
GCF(3, 24, 27)
= 3
Answer:
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
Step-by-step explanation:
Lets the number of men's shoes he sells be x and women's shoes be y.
For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .
He needs to sell atleast 10 women's shoes and 5 men's shoes.
Also he needs to make atleast $60 per week.
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
These are are the 3 required inequalities.
Now we will see an example.
If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.
He will make a total profit =
=$76
Answer:
1.9
Step-by-step explanation:
Gabrielle uses 7.6 pints of blue and white paint to paint her bedroom
1/4 of the paint is blue paint
Therefore the amount of white paint she used to paint her bedroom can he calculated as follows
= 1/4
= 0.25×100
= 25%
25/100×7.6
= 2.5 × 7.6
= 1.9
Hence 1.9 pints of white paint was used to paint the room
Answer:
Step-by-step explanation:
The mean SAT score is
, we are going to call it \mu since it's the "true" mean
The standard deviation (we are going to call it
) is

Next they draw a random sample of n=70 students, and they got a mean score (denoted by
) of 
The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.
- So the Null Hypothesis 
- The alternative would be then the opposite 
The test statistic for this type of test takes the form

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.
With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

<h3>since 2.266>1.645 we can reject the null hypothesis.</h3>