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Bond [772]
3 years ago
11

A mechanic makes $350 /week. If 20% of his income is deducted for taxes, how muchd id the mechanic bring home as pay?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

$280

Step-by-step explanation:

Step one

Given data

A mechanic makes $350 /week

20% of his income is deducted for taxes

Required

the mechanic's take-home pay for the week

Step two:

let us find 20% of $350

=20/100*350

= 0.2*350

=$70

Therefore the take-home pay is

= 350-70

= $280

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I need help with number 1-4 I don’t understand..
Karo-lina-s [1.5K]

Answer:

  1. 109°, obtuse
  2. 131°, obtuse
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Step-by-step explanation:

You are exected to know the relationships of angles created where a transversal crosses parallel lines.

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The appearance of the diagram often gives you a clue.

You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.

1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.

2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.

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4. Corresponding angles are equal, so x will be 124°. It is obtuse.

8 0
3 years ago
If the difference of a number and four is doubled the result is 1/4 less than the number. find the number
sukhopar [10]
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Mult both sides by 4: 

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If this is not what you expected, please ensure that you have copied down the original problem correctly.  What do you mean by "1/4 less?"

Let's try    (2)(n-4) = 1n-(1/4)n = (3/4)n.  Then,

2n-8 = (3/4)n, or (5/4)n = 8.  Mult. both sides by (4/5), we get:

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8 0
3 years ago
A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
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Answer:

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And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

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Answer:

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