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Aleksandr-060686 [28]
3 years ago
11

Please help!? Work out the size of angle x. 42 degrees and 123 degrees?

Mathematics
2 answers:
vlabodo [156]3 years ago
5 0

Answer:

Sorry I don´t know the answer but I tried

Step-by-step explanation:

netineya [11]3 years ago
4 0

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

  • 180° - 123° = 57° (sum of angles on a straight line)

Sum of angles in a triangle is 180°. Let <em>u</em><em> </em>be the value of the unknown angle in the triangle.

  • 57° + 42° + u° = 180°

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

  • x° + 81° = 180°

x° = 180° - 81°

x° = 99°

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat
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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
A gumball machine contains equal numbers of red, yellow, green, and blue gumballs. It randomly gives out one gumball for each pu
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Answer: 50%

Step-by-step explanation: there are 4 options and it’s the probability of getting two

5 0
3 years ago
Which ordered pairs lie on the graph of the exponential function f(x)=−3^(x−1) +2 Select each correct answer.
katrin [286]
<h3>Answer:</h3>

(1, 1), (4, -25)

<h3>Step-by-step explanation:</h3>

You can evaluate the function to see.

f(-1) = -3^(-1-1)+2 = -3^(-2)+2 = -1/9 +2 ≠ 2

f(1) = -3^(1-1) +2 = -1 +2 = 1

f(0) = -3^(0-1) +2 = -1/3 +2 ≠ 0

f(4) = -3^(4 -1) +2 = -27 +2 = -25

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Or, you can graph the points and the curve.

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3 years ago
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Answer:

g(x)=x3-2x2+5x+40g

Step-by-step explanation:

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3 years ago
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X>3 is the proper setup for this sentence.

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