Answer:
<h3>285.15</h3>
Step-by-step explanation:
Given the expression;
19/258 = 21/x
We are to find the unknown value x;
Cross multiply;
19 * x = 258 * 21
19x = 5418
Divide both sides by 19;
19x/19 = 5418/19
x = 285.15
Hence the unknown value is 285.15
A photo of 6 and 8 is scaled down to 1/2 the size
To find this, you multiply both by 1/2 or divide by 2
The new dimensions are 3 by 4
6 divided by 2=3
8 divided by 2=4
<span>7s over 5t to the negative 3rd power 2 to the negative 3rd power times X to the 2nd power times Z to the negative 7th power 7s to the zero power times T to the negative 5th power over 2 to the negative 1st power times M to the 2nd power If you would please simplify these </span>
Answer:
10 and 15
Step-by-step explanation:
Let 'x' and 'y' are the numbers we need to find.
x + y = 25 (two numbers whose sum is 25)
(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)
The solutions of the this system of equations are the numbers we need to find.
x = 25 - y
1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y
6y + 6(25-y) = (25-y)y
6y + 150 - 6y = 25y - (y^2)
y^2 - 25y + 150 = 0 quadratic equation has 2 solutions
y1 = 15
y2 = 10
Thus we have
:
First solution: for y = 15, x = 25 - 15 = 10
Second solution: for y = 10, x = 25 - 10 = 15
The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
More can be learned about hypothesis tests at brainly.com/question/26454209
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