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4 years ago

Can someone help me with these problems

Mathematics

1 answer:

ruslelena [56]4 years ago

4 0

2) angles are vertical so they are congruent- 7x-27= 4x+12 --> subtract 4x from both sides so 3x-27=12 --> add 12 to both sides so 3x=39 (divide both sides by 3) so then x= 13

3) again, vertical angles so 8x-120= 4x+16 --> subtract 4x so that 4x-120=16 --> add 120 to both sides and then 4x=136, divide both by 4 and x= 34

hope this helps:))

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How many two-digit positive integers can be formed the digits 1,5,6, and 8 if no digit is repeated?

IgorLugansk [536]

Answer:

Step-by-step explanation:

There are 4 different digits to choose from. Since we want 2-digit number, we will see what digits can we put in place of 1st digit and what digit can we place in place of 2nd digit.

Hence, how many digits (from 1,5,6 and 8) can be placed in the 1st digit of the number we want?

Any one of the four digits (1,5,6, or 8).

Now, How many digits (from 1,5,6 and 8) can be placed as the 2nd digit of the number we want?

Any one of the THREE digits (since repetition is not allowed, we disregard the initial digit).

Thus the number of two-digit positive integers is 4 * 3 = 12

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3 years ago

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Step-by-step explanation:

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3 years ago

Which of the following is the solution for 6x + 3 ≤ 27

postnew [5]

Answer:

x ≤ 4

Step-by-step explanation:

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6x ≤ 24 divide 6 both sides

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4 years ago

Help me please ASAP. I really need this

Ksju [112]

Answer:

Step-by-step explanation:

I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.

If this is incorrect, post the diagram.

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3 years ago

The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil

Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

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.

In this question, we have that:

$\mu = 83, \sigma = 3$