Answer:
x = 40
Step-by-step explanation:
2/5x + 1/4x = 26
~Find common denominators
8/20x + 5/20x = 26
~Combine like terms
13/20x = 26
~Multiply 20/13 to both sides
x = 40
Best of Luck!
Answer: The volume of the solid is 324 cm³
Step-by-step explanation:
Formula for determining the volume if a cube is s³
Where s represents the length of each side of the cube.
From the information given, s = 6 cm
Volume = 6³ = 216 cm³
The formula for determining the volume of the square base pyramid is expressed as
Volume = Area × height × 1/3
From the information given,
Length of square base = 6 cm
Height = 6 cm
Area of square base = 6² = 36 cm²
Volume of square base pyramid
= 36 × 6 × 1/3 = 108 cm³
The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes
216 + 108 = 324 cm³
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
Step-by-step explanation:
Powerhouse of photo synthesis
7-3y=22
-7 -7
-3y=15
Divide by -3. y=-5