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Ugo [173]
3 years ago
9

Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

<2 = 34degrees

Step-by-step explanation:

Find the diagram attached below:

First we need to get <1;

<1 + 74 = 180 (angle on a straight line)

<1 = 180 - 74

<1 = 106degrees

Also, <1 + <2 + 40 = 180 (sum of angle in a triangle)

106+<2 + 40 = 180

146 + <2 = 180

<2 = 180-146

<2 = 34degrees

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The lenght of each diagonals is 1.
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Credit card holders carry an average debt of $3,027 per month, with a standard deviation of $1,060. A credit card company is loo
Alex

Answer:

To be dropped, the client must have debts of $949.40 or lower.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 3027, \sigma = 1060

Bottom 2.5%

The 2.5th percentile and lower.

The 2.5th percentile is X when Z has a pvalue of 0.025. So X when Z = -1.96. Then

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

-1.96 = \frac{X - 3027}{1060}

X - 3027 = -1.96*1060

X = 949.4

To be dropped, the client must have debts of $949.40 or lower.

7 0
3 years ago
How do I subtract 6 5/12 - 2 2/3=
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6 0
3 years ago
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Pls only do number 13. WILL give brainliest answer
-Dominant- [34]

Answer:

13)

Exact solutions: \pm \sqrt{7}

Approximate solutions: \pm 2.6

12)

2 is closer to<u> 1.9881</u> than to <u>2.0164</u>, so \sqrt{2}\approx<u> 1.41</u> .

The number line dot should be closer to 1.4 .

Step-by-step explanation:

13) Let a be real positive or zero number.

x^2=a implies x=\pm \sqrt{a}.

You are asked to solve x^2=7.

The solution is x=\pm \sqrt{7}.

Put into calculator to get what \sqrt{7} is approximately.

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So the approximate solutions to x^2=7 is \pm 2.6.

Basically the inverse operation of squared is square root.

12)

1.41^2=1.9881 by calculator.

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We need to figure out which of the outputs above is closer to 2.

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|2-2.0449|=0.0449

So 2 is closer to 1.9881 which means \sqrt{2} would be closer to 1.41.

So anyways let's fill the blanks.

2 is closer to<u> 1.9881</u> than to <u>2.0164</u>, so \sqrt{2}\approx<u> 1.41</u> .

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Answer:

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Step-by-step explanation:

5(x1)

5(5x1)

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