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Verdich [7]
3 years ago
12

Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer:

3

Step-by-step explanation:

QC=2x

RC=3x

QR=15

THEREFORE,

QC+RC=QR

=>2x+3x=15

=>5x=15

=>x=15/5

=>x=3

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Ike Phillips worked 6.7 hours at time-and-a-half pay and 3.4
ikadub [295]

Working out the different pay rates earned by Ike Phillips :

  • Time and half pay rate = $17.055
  • Double pay rate = $22.74
  • Time and half earning = $114.2685
  • Double rate earning = $77.316
  • Gross earning = $646.3845

Let :

Regular rate = $11.37

Total earning for the week = $454.80

Double pay hours = 3.4

Time and half pay hours = 6.7

  • Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055

  • Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74

  • Time and half earning = rate × time = $17.055 × 6.7 = $114.2685

  • Double rate earning = rate × time = $22.74 × 3.4 = $77.316

  • Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845

Therefore, Ike's gross earning for the week is $646.3845

Learn more : brainly.com/question/24635246

4 0
2 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \mu = 5.11, \sigma = 0.07

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

-1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = -1.34*0.07

X = 5.02

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = 1.34*0.07

X = 5.2

The diameter that separates the top 9% is 5.2 millimeters.

6 0
3 years ago
Weather forecasters use a barometer to measure
Zepler [3.9K]

Answer:  air pressure

Whenever you hear things like "high pressure" or "low pressure" on weather reports, they measured the pressure using a barometer. Knowing the air pressure helps determine if there is a higher chance of rain or storms for instance.

Typically but not always, high pressure correlates to sunny days and dry weather. Low pressure often brings about rain. This is of course a very oversimplified viewpoint.

4 0
1 year ago
The lowest elevation in Lammefjord, Denmark, is 23 feet below sea level. The elevation of the Sea of Galilee in Israel is about
tatyana61 [14]

Answer:

Sea\ of\ Galilee = -690ft

Step-by-step explanation:

Given

Lowest\ Elevation = 23ft below sea level

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Required

Determine the elevation of the Sea of Galilee

We have that the lowest elevation in Lammefjord is:

Lowest\ Elevation = -23ft

It is negative because, the elevation is below sea level.

Calculating the elevation of Sea of Galilee, we have:

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Sea\ of\ Galilee = 30 * -23ft

Sea\ of\ Galilee = -690ft

<em>Hence, the elevation of Sea of Galilee is -690ft or 690ft below sea level</em>

5 0
2 years ago
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Ksju [112]

Answer:

x=8

KN=24

LK is congruent to LM

LN is congruent to NL

5 0
2 years ago
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