Answer:

Step-by-step explanation:
we know that
To find out the total yards of fabric used, add up the yards of fabric used for Nickys' room and the yards of fabric used for Linda's room
so

Convert mixed number to an improper fraction

Adds the fractions

Convert to mixed number

Answer:
Required equation 
The height of statue of liberty is 93 meters.
Step-by-step explanation:
Given : Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters.
To find : Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?
Solution :
The model is 15 inches tall.
The scale of the model to the actual statue is 1 inch : 6.2 meters.
Let x be the height in meters of the Statue of Liberty.
According to question, required equation is

Cross multiply,


Therefore, the height of statue of liberty is 93 meters.
Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.
Yes, it's miles true.
Consider the machine as Ax = 0. in which A is 4x5 matrix.
From given dim Nul A=1. Since, the rank theorem states that
The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation
rank A+ dim NulA = n
dim NulA =n- rank A
Rank A = 5 - dim Nul A
Rank A = 4
Thus, the measurement of dim Col A = rank A = five
And since Col A is a subspace of R^4, Col A = R^4.
So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.
What is the lesson? We are aware that the 2 triangles are congruent, they also tell us what the two segments are equal to. Your best is to set up an equation making the segments equal to eachother to find the value of segment WK
Answer:
The significance level for this case would be
and the critical value for this case would be:

The margin of error is given by:

And replacing we got:

And the margin of error for this case would be 
Step-by-step explanation:
For this case we have the following dataset given:
represent the sample size
represent the estimated proportion of interest
represent the confidence level
The significance level for this case would be
and the critical value for this case would be:

The margin of error is given by:

And replacing we got:

And the margin of error for this case would be 