The right answer is Option C.
Step-by-step explanation:
Given equations are;
-2x+4y=17 Eqn 1
3x-10y= -3 Eqn 2
Adding Eqn 1 and Eqn 2;

The right answer is Option C.
Keywords: linear equations, addition
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Answer:
86%
Step-by-step explanation:
<u>430</u><u> </u> × <u>100</u> = <u>430</u> = 86%
500 1 5
you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.
430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
In exponential form it is given as, 8⁻³ = 
<u>Step-by-step explanation:</u>
We have to write the given equation in the exponential form, that is in the form of base to the power value.
Given:
log₈ (
) = -3
Here the base is 8.
In the exponential form, it is written as,
base to the power 3 = 512
Here the reciprocal of 512 is given, so,
base to the power -3 = 
So the exponential form is given as, 8⁻³ = 