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Vinil7 [7]
4 years ago
9

In Chemistry, Seth recorded the weight of copper tubing as 15.4 grams. The actual weight was 15.8 grams. What is his percent of

error, rounded to the nearest percent?
Mathematics
1 answer:
givi [52]4 years ago
8 0

Answer: -2.6%

Step-by-step explanation:

Percent error is the difference between the measured and known value, and then we divide by the known value, and then multiply by 100%.

Estimated.number = 15.4 grams.

Actual number = 15.8 grams

Percentage error = (Estimated number - Actual number)/Actual number × 100

= (15.4 - 15.8)/15.8 × 100

= -0.4/15.8 × 100

= 0.0253 × 100

= 2.53

= -2.6% approximately

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Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are
schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

E=\#weeks*P(S>120)=52*0.09012=4.68

The nearest answer is C. 5 weeks.

6 0
3 years ago
10% of the songs on Emma's playlist are in Spanish. If she has 6 Spanish songs on her playlist, how many total songs are on it?
Vinvika [58]

If 10% of songs represents 6 songs,

then 100% of songs represents (100 * 6) / 10 = 60 songs

The playlist has a total of 60 songs.

7 0
3 years ago
30 PTS!!! ASAP!! WILL MARK BRAINLIEST!!! PLEASE HELP!!! ASAP!!!How many liters of a 40% sugar solution must be mixed with 30 lit
Nana76 [90]

Answer:

15 litters of suger must be mixed

5 0
3 years ago
Read 2 more answers
-2x+2&gt;3x-8<br><br> 50 points
Blababa [14]

Given:

The inequality is

-2x+2>3x-8

To find:

The solution of the given inequality.

Solution:

We have,

-2x+2>3x-8

Isolate the variables terms on the left side.

-2x-3x>-2-8

-5x>-10

Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.

\dfrac{-5x}{-5}

x

Therefore, the correct option is D.

5 0
3 years ago
1
Monica [59]

Answer:

x = 8

Step-by-step explanation:

f(x) = \sqrt{3x}

g(x) = \frac{1}{x+3}

(f o g)(x) = f[g(x)]

             = \sqrt{\frac{3}{x+3} }

This function is defined for (x + 3) > 0

(x + 3) - 3 > 0 - 3

x > -3

From the given options x = 8 is the only solution which is greater than -3.

Therefore, x - 8 is in the domain of the given function.

4 0
3 years ago
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