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jarptica [38.1K]
4 years ago
7

13 = -7 + 9x - 5x X =

Mathematics
1 answer:
brilliants [131]4 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Given

13 = - 7 + 9x - 5x , that is

13 = - 7 + 4x ( add 7 to both sides )

20 = 4x ( divide both sides by 4 )

5 = x

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Find the nth term of this number sequence<br> 7, 10, 13, 16, ...<br><br> help please !!
LenKa [72]

Answer:

a_{n} = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

a_{n} = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

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2 years ago
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A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their
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Write the fractions in order from least to greatest. 7/8, 1/4, 3/8, and 4/8
m_a_m_a [10]

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1/4 3/8 4/8 7/8

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5 0
3 years ago
Construct a 95% prediction interval for y given x=-3.5, ^y= 2.097x - .552 and se= .976​
Rasek [7]

Answer:

95% Confidence interval for y

= (-9.804, -5.979)

Lower limit = -9.804

Upper limit = -5.979

Step-by-step explanation:

^y= 2.097x - 0.552

x = -3.5

Standard error = 0.976

Mathematically,

Confidence Interval = (Mean) ± (Margin of error)

Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915

(note that x=-3.5)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value for 95% confidence interval = 1.960

Standard Error of the mean = 0.976

95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]

CI = -7.8915 ± (1.960 × 0.976)

CI = -7.8915 ± 1.91296

95% CI = (-9.80446, -5.97854)

95% Confidence interval for y

= (-9.804, -5.979)

Hope this Helps!!!

3 0
3 years ago
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