Answer:
E= 6.45
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
Step-by-step explanation:
Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.
General formula for the margin of error is
Margin of error = critical value × standard error of statistic
= 
× σ √n
z-value from two tailed is listed below:
From the table of standard normal distribution, probability value of 0.10.
row and column values gives the area to the two tail of z.
The positive z value is 2.58.
standard deviation is σ = 15,
The critical value is z(α/2) = 2.58.
after putting these vales we obtain the margin of error value that is
E= 6.45
Answer: The expression that represents the area of Mary's new garden =2x^2
Step-by-step explanation:
The area of a square is given by x^2, where x is the length of one side. The length of the other side is also x. In a square, all sides are equal. each of the four sides equal x
Area = x × x
Area = x^2
She decided to double the area of her garden
New area = 2(x × x)
New area = 2x^2
The expression that represents the area of Mary's new garden =2x^2
Answer:
The cost is $9.70 per kilogram.
Step-by-step explanation:
This can be solved by a rule of three.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.
Solution:
The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:
1 pound - xkg
2.2 pound - 1 kg
kg
Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?
$4.40 - 0.45kg
$x - 1kg
The cost is $9.70 per kilogram.
Answer:
Step-by-step explanation:
2<y<4
all real numbers >2 and < 4
A.) .4 of a balloon is left
To Check:
what I did was divide 172 by 27 and it is 6.37 rounded to ........6 is an equal number so I kept it and .4 will be left over after sharing equally.
B.) 17 more balloons are needs
To Check:
what I was multiply 27 by 7 because each student needs seven balloons and I got 189 after that I subtracted 172 from 189 (189-172=17)
to see how many more balloons are needed.
