Sammi wanted to create a dot plot based on this tally chart
1 answer:
Complete Question:
Sammi wanted to create a dot plot based on this tally chartin which step, if any, did Sammi make a mistake creating his dot plot? (See attached pictures showing the chart tally and the 3 steps)
A. Sammi made a mistake in Step 1 because his number line did not include all numbers in the data set.
B. Sammi made a mistake in Step 2 because he chose a title without knowing if the table represents the number of hours read per week.
C. Sammi made a mistake in Step 3 because he did not correctly plot each dot above the appropriate place on the number line.
D. Sammi did not make a mistake.
Answer:
B. Sammi made a mistake in Step 2 because he chose a title without knowing if the table represents the number of hours read per week.
Step-by-step Explanation:
Taking a good look at Sammi's tally alongside the 3 steps he took, we can tell if he made any mistake or not.
=> Option A is incorrect because Sammi plotted correctly a number line that included all values in the data set. The values from the tally chart shows 3 to 6 hours.
=> Option B is correct, Sammi made a mistake in step 2 as he fails to state an appropriate title that corresponds with what the dots he wants to plot represents.
=> Option C is incorrect because from the tally chart, we can see that Sammi correctly plotted each dot accordingly above where each supposed to be in the number line.
Therefore, we can conclude that Sammi made a mistake in Step 2. Our answer is B.
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Answer:
The measure of arc ABC is 180 + x ⇒ 1st answer
Step-by-step explanation:
Let us revise some notes about the arcs of a circle
- The measure of an inscribed angle is half the measure of its subtended arc
- The measure of the central angle is equal to the measure of its subtended arc
- If two tangents intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs
∵ CD and AD are two tangents to the given circle
∵ They intersected at point D out side the circle
∵ The measure of ∠ADC = x°
- By using the 3rd note above
∵ The intercepted arcs are arc ABC and arc AC
∴ x° = (measure of arc ABC - measure of arc AC)
- Multiply both sides by 2
∴ 2 x = (measure of arc ABC - measure of arc AC)
- Add measure of arc AC in both sides
∴ 2 x + measure of arc AC = measure of arc ABC ⇒ (1)
∵ The measure of a circle is 360°
∵ The arcs ARC and AC is formed the circle
∴ Measure of arc ABC + measure of arc AC = 360°
- Subtract measure of arc ABC from both sides
∵ Measure of arc AC = 360 - measure of arc ABC ⇒ (2)
- Substitute (2) in (1)
∴ 2 x + 360 - measure of arc ABC = measure of arc ABC
- Add measure of arc ABC to both sides
∴ 2 x + 360 = 2 measure of arc ABC
- Divide both sides by 2
∴ x + 180 = measure of arc ABC
∴ The measure of arc ABC is 180 + x
<h2>SOLVING</h2>
Find the point-slope equation of the line, with the info given
Formula used,
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