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Feliz [49]
3 years ago
8

Marco was paid $8 an hour and received $500 at the end of the summer as a bonus. Lupe was $11 an hour,but only received a $300 b

onus. How many hours would they need to work in order to get paid at the same at tye end of the summer?
Mathematics
1 answer:
kolezko [41]3 years ago
4 0

Answer:

Step-by-step explanation:

First make an equation,

8x+500=11x+300

Then, with pemdas, cancel out 300 and 8x

200=3x

Divide both sides by 3

Answer is 66.6 reapeating or about 67 hours

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-x+5y=5 in function notation
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Answer:

y = f(x) = \frac{1}{5}x + 1

Step-by-step explanation:

The function notation of a linear function is given by y = f(x) = ax + b.

Now, the given equation is - x + 5y = 5

So, we have to arrange it for the function notation.

Now, - x + 5y = 5

⇒ 5y = x + 5

⇒ y = \frac{1}{5}(x + 5)

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Therefore, the function notation of the given equation will be

y = f(x) = \frac{1}{5}x + 1 (Answer)

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3 years ago
Weight of 8 bags of sugar is 400 kg. The weight of 30 such bags will be ------------------------------------
Aliun [14]

Answer:

1500 kg

Step-by-step explanation:

8 bags = 400 kg

1 bag = 400/8

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30 bags = 30×50

= 1500 kg

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What is 9/7 of a kilo GIVING BRAINLY
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3 years ago
The ideal (daytime) noise-level for hospitals is 45 decibels with a standard deviation of 10 db; which is to say, this may not b
WINSTONCH [101]

Answer:

<em>(a) A 99% confidence interval for the actual mean noise level in hospitals is </em><em>(44.02 db, 49.98 db)</em><em>. </em>

<em>(b) We can be 90% confident that the actual mean noise level in hospitals is </em><em>47 db</em><em> with a margin of error of </em><em>1.89 db</em><em>. </em>

<em>(c) Unless our sample (of 81 hospitals) is among the most unusual 2% of samples, the actual mean noise level in hospitals is between </em><em>44.41 db and 49.59 db</em><em>. </em>

<em />

Step-by-step explanation:

<em>The problem is incomplete. The questions are:</em>

<em />

<em>(a) A 99% confidence interval for the actual mean noise level in hospitals is </em><em>(44.02 db, 49.98 db)</em><em>. </em>

For a 99% CI, the value of z is z=2.58

Then, the confidence interval for the mean is:

M-z\sigma/\sqrt{n}\leq\mu\leq M-z\sigma/\sqrt{n}\\\\47-2.58*10/\sqrt{75}  \leq\mu\leq47+2.58*10/\sqrt{75}\\\\47-2.98\leq\mu\leq47+2.98\\\\44.02\leq\mu\leq 49.98

<em>(b) We can be 90% confident that the actual mean noise level in hospitals is </em><em>47 db</em><em> with a margin of error of </em><em>1.89 db</em><em>. </em>

For a 90% CI, the value of z is z=1.64.

Then, we can calculate the margin of error as:

E=z*\sigma/\sqrt{n}=1.64*10/\sqrt{75}=1.89

<em>(c) Unless our sample (of 81 hospitals) is among the most unusual 2% of samples, the actual mean noise level in hospitals is between </em><em>44.41 db and 49.59 db</em><em>. </em>

The 2% tails data corresponds, in the standard normal distirbution, to the values of z whose absolute value is higher than 2.33.

The values of db for these critical values are:

X_1=M+z_1*\sigma/\sqrt{n}=47+(-2.33)*10/\sqrt{81}=47-2.59=44.41\\\\\\ X_2=M+z_2*\sigma/\sqrt{n}=47+(2.33)*10/\sqrt{81}=47+2.59=49.59

3 0
4 years ago
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