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neonofarm [45]
3 years ago
10

Find the value of x in the diagram

Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

Answer:

x = 21

Step-by-step explanation:

Inscribed angle = (3x - 3)°

Intercepted arc measure = 120°

Thus:

(3x - 3)° = ½(120°) => an inscribed angle of any circle = ½ the measure of its intercepted arc.

Multiply both sides by 2

2(3x - 3) = 120

6x - 6 = 120

6x - 6 + 6 = 120 + 6

6x = 126

6x/6 = 126/6

x = 21

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Liane is sewing new curtains for her bedroom She Bought 3 yards of fabric Her total cost was $12. What was her cost per yard?
iragen [17]

Answer: $4 per yard

Step-by-step explanation:

From the question, we are informed that Liane is sewing new curtains for her bedroom and that she bought 3 yards of fabric and her total cost was $12.

Her cost per yard will be the amount she bought the fabric divided by 3. This will be:

= $12 / 3

= $4 per yard

7 0
2 years ago
Bill Board is "lording" his SAT score over his friend, Rhoda Dendron, who took the ACT. "You only got a 25 in math," he chortled
SCORPION-xisa [38]

Answer:

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Bill:

Scored 300, so X = 300

SAT has a μ of 500 and a σ of 100.

His z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{300 - 500}{100}

Z = -2

Z = -2 has a p-value of 0.02.

This means that Bill, whose SAT score has Z = -2, scored in the 2nd percentile.

Rhoda

Scored 25, so X = 25.

ACT has a μ of 20 and a σ of 5

Her z-score:

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 20}{5}

Z = 1

Z = 1 has a p-value of 0.84

This means that Rhoda, whose ACT score has Z = 1, scored in the 84th percentile.

What is wrong with Bill’s logic ?

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

4 0
3 years ago
Sally, Sue and Joe were measured in gym class. Sally was 65 3/4 inches. Sue was 65 7/8 inches. Joe was 65 1/2 inches. Who was th
qaws [65]

Answer:

Sue was the tallest.

Step-by-step explanation:

Sally = 65 3/4 --> 65 6/8

<h2>Sue = <u>65 7/8</u></h2>

Joe = 65 1/2 --> 65 4/8

5 0
3 years ago
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Katen [24]

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Step-by-step explanation:

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Solve these algebraic fractions please with explanation would be great ​
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Answer:

look above

Step-by-step explanation:

hope it helps

4 0
2 years ago
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