Answer:
Step-by-step explanation:
Given
The dimension of the box is
Space occupied by the box is equal to its volume i.e.
The volume of the box is .
Answer:
48m²
Explanation:
since 3cm represents 4m, the width of the dining hall would be 4m. its length on the drawing is 9cm, which is 3 times of 3cm, so we can also multiply 4m by 3 to find the real length of the dining hall. this would give us 12m.
3cm : 4m
(multiply both by 3)
9cm : 12m
now, we can calculate the area of the dining hall using the equation 12m × 4m = <u>48m²</u>.
i hope this helps! :D
Answer:
Step-by-step explanation:
The given equation is in the form
We have to evaluate the correct system of equations which can be used to find the roots of the equation.
We can find the root of the equation by plotting the graph of the equations. In order to graph, we can assume the left and right hand side of the given equation as two separate equations.
Therefore, we have
Now, we plot the graph of these two equations in the same coordinate plane. The intersection point (s) would be the roots of the given equation.
Hence, the system of equation that we can use to find the root of the given equation is
Last option is correct.
Answer:
The first quartile of the strengths of this alloy is 9.055 GPa.
Step-by-step explanation:
Problems of normal distributions can be 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.
The strength of an aluminum alloy is normally distributed with mean 10 gigapascals (GPa) and standard deviation 1.4 GPa.
This means that
What is the first [lower] quartile of the strengths of this alloy?
This is the 100/4 = 25th percentile, which is X when Z has a pvalue of 0.25, so X when Z = -0.675.
The first quartile of the strengths of this alloy is 9.055 GPa.
Answer:
Number 1 is also 125 because it corresponds.
Step-by-step explanation:you see other line in the triangle right!if u see both are giving that line anywhere then you will know they corresponds! hope it hels!good night!