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malfutka [58]
3 years ago
7

Emelia measures the weight of a rock to be 30 grams. The actual weight of the rock is 24 grams. Determine Emelia's percent error

.
Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Answer: 25%

Step-by-step explanation:

Given

Emelia measures the weight of the rock to be 30 gm

The actual weight was 24 gm

Percentage error is given by  

\Rightarrow \dfrac{\text{Deviation }}{\text{Actual value}}\times 100

Insert the values

\Rightarrow \dfrac{30-24}{24}\times 100\\\\\Rightarrow \dfrac{6}{24}\times 100\\\\\Rightarrow 25\%

Therefore, the percentage error is 25%.

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juan needs to take a taxi to get to the movies. the taxi charges 3.50 dollars for the first mile, then 2.75 dollars for each mil
kompoz [17]
6.5 miles , hope this helped

3 0
3 years ago
Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13
Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: P(t)=P_i(1+r)^t

where P(t) is the population at time "t",

P_i is the initial (starting) population

(1+r) is the common ratio,

and r is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and  initial population), and solve for the unknown common ratio and its related rate of growth:

P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

1+r=1.155273\\r=1.155273-1=0.155273

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0
2 years ago
A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
AnnZ [28]

Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3 0
2 years ago
Determine if the following table represents a quadratic function.
snow_tiger [21]

Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

Difference = 22 - 13 = 9

Difference = 37 - 22 = 15

Difference = 58 - 37 = 21

Difference = 85 - 58 = 27

<em>The resulting difference are: 9 || 15 || 21 ||  27</em>

Next; Calculate the difference between the difference of values of y

Difference = 15 - 9 = 6

Difference = 21 - 15 = 6

Difference = 27 - 21 = 6

<em>The resulting difference are: 6 || 6 || 6</em>

<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>

7 0
3 years ago
Doreen lives 3/4 mile from the library. Sheila lives 1/3 AS FAR AWAY FROM THE LIBRARY AS DOREEN.
alexdok [17]
What's the question that needs to be solved and I will help?
3 0
3 years ago
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