Answer:
Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
1 answer:
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Answer:
Step-by-step explanation:
we have
we know that
The sum of a quadratic equation and a linear equation will be a quadratic equation
so
Combine like terms
Answer:
The measure of side AC is 6 cm.
Step-by-step explanation:
The information for the triangle ABC are:
AB = 6 cm
m∠A = 80°
m∠B = 50°
The sum of all angles of a triangle is 180°.
Compute the value of m∠C as follows:
m∠A + m∠B + m∠C = 180°
m∠C = 180° - 80° - 50°
= 50°
Thus, the angles, m∠C = m∠B.
Consider the triangle below.
If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.
And in an isosceles triangle the sides corresponding to the equal angles are equal.
Then in this case as m∠C = m∠B then sides AC = AB.
The measure of the side AC is 6 cm.
Answer:
The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.
The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.
The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.
The difference between sample means is Md=-9.4.
The estimated standard error of the difference between means is computed using the formula:
The critical t-value for a 99% confidence interval is t=2.678.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).