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NISA [10]
3 years ago
10

What is the value of x in the figure below

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

It is 118°

Step-by-step explanation:

because these are corresponding angles.

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Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?
steposvetlana [31]

Answer:

The integer that represents the amount of debt she has remaining is $9

Step-by-step explanation:

$15 - $6 = $9

8 0
3 years ago
5) Two machines M1, M2 are used to manufacture resistors with a design
Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that \mu = 1050, \sigma = 100

The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So

X = 1100

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

Z = \frac{1100 - 1050}{100}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915.

X = 900

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

Z = \frac{900 - 1050}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.6915 - 0.0668 = 0.6247.

M1 has a 62.47% probability of being in the desired range.

M2:

M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that \mu = 1000, \sigma = 120

X = 1100

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

Z = \frac{1100 - 1000}{120}

Z = 0.83

Z = 0.83 has a pvalue of 0.7967.

X = 900

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

Z = \frac{900 - 1000}{120}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033

0.7967 - 0.2033 = 0.5934

M2 has a 59.34% probability of being in the desired range.

Since M1 has the higher probability of being in the desired range, we choose M1.

8 0
3 years ago
Solve the inequality x divided by 6 is less than or equal to 3
Alja [10]
Your inequality looks like this:
\frac{x}{6}  \leq 3
To get rid of the /6, you need to multiply by 6 as the opposite operation cancels it out. So, all you need to do is multiply both sides by 6 to isolate x. 
Therefore:
x \leq 18
6 0
3 years ago
4. Simplify - 4b +(-9k) – 6 – 3b + 12.
diamong [38]

Answer:

−7b−9k+6

Step-by-step explanation:

−4b+(−3b)=−7b

+(−9k)=−9k

12−6=6

6 0
3 years ago
A company loses $780 as a result of shipping delay the 6 owners of the company must share the loss equally.
tekilochka [14]

A) Change in profit for each owner = -780/8

B) Change in profit for each owner = -$130

The total loss  = $780

Number of owners = 6

The 6 owners must share the loss equally

The change in profit for each owner will be the original profit less 780/6

That is -780/6

Evaluating -780/6

Change in profit for each owner = -$130

Learn more here: brainly.com/question/17858380

7 0
3 years ago
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