The length of the shorter piece is 30
<h3>What are algebraic expressions?</h3>
Algebraic expressions are expressions that are made up of constants, terms, factors and variables.
They also contain mathematical operations such as division, addition, multiplication, subtraction, etc
From the information given, we have;
Let the length of one piece be x
Let of the other piece is 5x
5x + x = 180
collect like terms
6x = 180
Make 'x' the subject
x = 180/ 6
x = 30
Thus, the length of the shorter piece is 30
Learn more about algebraic expressions here:
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Answer: 8.05 km
Step-by-step explanation:
1 mile=1.6093 km
1.6093x5=8.0465
Round to the nearest hundredth: 8.05
I think the answer is 87395:)
Answer:
a) angle XBC=55° because corresponding angles are congruent.
b) <BXC=70°
Step-by-step explanation:
From the diagram, XY and BD are parallel lines.
This means line AB is a transversal .
Angle XBC and angle AXY form an F-angle.
F-angles are also called corresponding angles, and are congruent.
Therefore, angle XBC=55° because corresponding angles are congruent.
b) We want to work out, angle BXC.
Since XB=XC, triangle XBC is isosceles.
The base angles of an isosceles triangles are equal.
This implies that:
<XBC=<BCX=55°.
Also, sum of angles in a triangle add up to 180°.
<XBC+<BCX+<BXC=180°
55°+55°+<BXC=180°
<BXC=180°-55°-55°
<BXC=180°-110°
<BXC=70°
Answer:
The 95% CI for the difference of means is:
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>
Process 1:
- Sample size: 10
- Mean: 200
- S.D.: 15
Process 2:
- Sample size: 4
- Mean: 300
- S.D.: 50
The difference of the sample means is:
The standard deviation can be estimated as:
The degrees of freedom are:
The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.
Then, the confidence interval can be written as: