Given :
Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.
To Find :
How many cups of sugar does she need to make the cookies for her party.
Solution :
Let, cups of sugar required to make cookies for her party is x.
So,
Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.
Hence, this is the required solution.
Answer: 25/8
Step-by-step explanation:
We would first turn 2 1/2 and 1 1/4 into an improper fraction.
That leaves us with 5/2 and 5/4.
Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.
Therefore x, or the amount of sugar she needs, is 25/8
II 1
III 7
Answer:
x≥ -3
Step-by-step explanation:
The domain is the values that x can take
g(x) = sqrt( x+3)
This must be greater than or equal to zero
x+3 must be greater than or equal to zero
x must be greater than or equal to -3
x≥ -3
b. The range is larger than the interquartile range.
c. The mean is much larger than the median.
d. The mean is much smaller than the median.
Answer: c. The mean is much larger than the median
Step-by-step explanation:
A dataset is skewed to the right when the peak of the dataset is located in the left( left of the mean), and it has a long right tail. It is also call positive skewed distribution. One of the characteristics of right skewed dataset is that the mean of the dataset is always greater/larger than the median and mode.
Therefore, for the case above if the mean is much larger than the median, it indicates that the dataset is skewed to the right.
A dataset is skewed to the right when the mean is much larger than the median. Therefore, the correct answer is option c.
When a dataset is skewed to the right, it means that the distribution of data is not symmetric, and it is stretched out more towards the higher values (right side) than the lower values (left side). This can be due to the presence of outliers or a natural characteristic of the data.
Now, let's look at why option "c" indicates right skewness:
c. The mean is much larger than the median.
The mean is the arithmetic average of all the values in the dataset, while the median is the middle value when the data is arranged in order. When a dataset is positively skewed (skewed to the right), it means that there are some significantly larger values in the right tail of the distribution that pull the mean to the right (towards higher values).
In this situation:
The mean gets pulled toward the larger values because the larger values have a greater impact on the mean due to their magnitude.
The median remains closer to the bulk of the data because it is not affected by extreme values as much as the mean.
So, when the mean is much larger than the median, it is an indication that there are significant outliers or a longer right tail in the dataset, which is a characteristic of a right-skewed distribution.
Therefore, the correct answer is option c.
Learn more about Skewed to the right here:
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The Measurement of Line GX will be 13 and ∠ABX will be 22°
A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Point X is the incenter of ΔABC. Triangle A B C has point X as its incenter. Lines are drawn from the points of the triangle to point X.
Also Given :
EX = 4z + 1 and XF = 2z + 7
Solution :
Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX is congruent.
EX = XF
4z + 1 = 2z + 7
2z = 6
z = 3
As, EX = XF = GX
EX = 4(3) + 1
EX = 13
Thus, GX = 13 ------ ( EX = XF = GX )
To find the ∠ABX, divide ∠ABC them by 2 you will get
∠ABX = 22°
Therefore, The Measurement of Line GX will be 13 and ∠ABX will be 22°.
Learn more about right-angle triangles here:
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Answer:
The first one is 13.
The second one is 22.
Step-by-step explanation:
I took the test I know this is correct. :)