The value of m which makes the equation true is; 8.2
<h3>How to solve one variable equations</h3>
The given equation is;
The value of m, for which the equation is true can be evaluated as follows;
m – 4.7 = 3.5
Add 4.7 to both sides of the equation to isolate m.
m - 4.7 + 4.7 = 3.5 + 4.7
m = 8.2
A one variable equation also known as linear equation is an equation in which one unknown variable is solved for.
Therefore, the value of m which makes the equation true is; 8.2
Read more on one variable equations;
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We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you must divide the final width of the billboard between the current width of the invoice.
We know both data, then we perform the operation:
48 feet /6.14 inches = 7.81 feet / inches
.
Therefore the correct answer is option D. 1″ = 7.81′
For the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet long per inch long that has the original image.
She can run 8 miles because every mile it takes 8 minutes to do so all you had to do was divide 64 and 8
Answer:
we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
Step-by-step explanation:
We are given;
Sample size;n = 6970
Success rate;X = 1334/6970 = 0.1914
Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;
H0: μ < 0.2
Ha: μ ≥ 0.2
The standard deviation formula is;
σ = √(x(1 - x)/n)
σ = √(0.1914(1 - 0.1914)/6970)
σ = 0.004712
Now for the test statistic, formula is;
z = (x - μ)/σ
z = (0.1914 - 0.2)/0.004712
z = -1.825
From the a-distribution table attached, we have a value of 0.03362.
This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than 20%.
