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3 years ago

The work of a student to solve the equation 3(2x – 4) = 8 + 2x + 6 is shown below:

1 answer:

6 0

If you would like to know in which step did the student first make an error and what is the correct step, you can calculate this using the following steps:

3(2x - 4) = 8 + 2x + 6
6x - 12 = 8 + 2x + 6
6x - 12 = 14 + 2x ... Step 2
6x - 2x = 14 + 12
4x = 26
x = 26/4 = 13/2

The correct result would be Step 2; <span>6x - 12 = 14 + 2x.</span>

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What is the explicit formula for this geometric sequence with recursive formula

Nonamiya [84]

generate the first few terms using the recursive formula

$a_{2}$ = - 7 × $\frac{1}{3}$ = - $\frac{7}{3}$

$a_{3}$ = - $\frac{7}{3}$ × $\frac{1}{3}$ = - $\frac{7}{9}$

$a_{4}$ = - $\frac{7}{9}$ × $\frac{1}{3}$ = - $\frac{7}{27}$

r = $a_{2}$ / $a_{1}$ = $\frac{1}{3}$

the n th term formula (explicit ) for a geometric sequence is

$a_{n}$ = $a_{1}$ $r^{n-1}$ = - 7( $\frac{1}{3}$ )^(n - 1)

6 0

2 years ago

Read 2 more answers

Pls pls pls help <br>Find the perimeter and the area

Illusion [34]

Answer:

Perimeter = 42 units Area = 57.73 square units

Step-by-step explanation:

Perimeter of an Astroid = 6l ---> 6 x 7 = 42 units

Area of an Astroid = (3 x pi x a^2)/8 = 57.73 square units

3 0

3 years ago

Help please (place and label the following numbers on the number line. Order them as best as you can.)

svet-max [94.6K]

Answer:

least to greatest in order: -5/2(-2.5), -2.5, -2, -1.75, -1, 1.75, 9/4(2.25)

8 0

2 years ago

Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636, the central limit theorem appl

lakkis [162]

Answer:

a) $\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)$

$\mu_{\bar X}=100$ $\sigma^2_{\bar X}=1$

b) $P(\bar X >101)=1-P(\bar X$

c) $P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$