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3 years ago

Find the rule for the sequence First term: 2 3/4 Sixth term: 3 7/12 Rule:_______

1 answer:

4 0

K, so areitmetic

an=a1+d(n-1)
a1=first term
d=common differnce

we are given
a1=2 and 3/4
6th term is 3 and 7/12

so

a6=3 and 7/12=2 and 3/4+d(6-1)
3 and 7/12=2 and 3/4+d(5)
minus 2 and 3/4 both sides
10/12=5d
divide both sides by 5 or multiply both sides by 1/5
2/12=d
1/6=d

$a_n=2 \frac{3}{4}+ \frac{1}{6}(n-1)$ or
$a_n=2 \frac{7}{12}+ \frac{1}{6}n$
that is the rule

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A total of 200 10-year-old children of similar intellectual abilities participated in a noise experiment in their classrooms. Th

Vladimir79 [104]

Answer:

The dependent variable for this experiment is the ability of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment which depends on the presence or absence of noise outside the classroom.

Step-by-step explanation:

In an experiment, the independent variable is the one whose value, form or outcome is not determined by any other variable in the experiment.

The dependent variable is the one whose value, form or outcome is determined by one or more other variable(s) in the experiment.

This experiment tests the abilities of students with similar intellectual abilities to recall the meaning of a symbol in a textbook one week after the start of the experiment.

This ability was made to depend on whether there was noise or no noise outside their classrooms.

Since, this variable to be measured is determined by another variable in the experiment, it is evident that this is the dependent variable for this experiment.

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3 years ago

Find all the solutions for the equation x4 = 16

Olenka [21]

Answer:

x=4

Step-by-step explanation:

16 divided by 4 is 4

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3 years ago

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at le

hoa [83]

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em />

<em />

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

$P(x\geq1)=1-(\frac{1}{2})^{10}=0.999$

So the answer is 0.999 (rounded to nearest thousandth)

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3 years ago

Lemonade stand math problem

monitta

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3 years ago

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

Artemon [7]

<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

$\sf{\rightarrow{d = kt}}$