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3 years ago

Emma scored 4 points more than twice number of points teagan scored. Emma scored 3 points. How many did teagan score

1 answer:

8 0

Let's write T for Teagan's score and E for Emma's score.
Also, let's write an equation

E = 2T + 4
E = 3
2T + 4 = 3
subtract 4 from both sides
2T = -1
divide both sides by 2
T = -1/2

To see of this is correct:
2T + 4 = 3
2(-1/2) + 4 =?= 3
-1 + 4 =?= 3
3 = 3

Hope this helps

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A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d

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Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, $\bar{x}_{1}$ = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, $\bar{x}_{2}$ = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

$\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}$

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ $t_{\alpha /2}$ = 3.25

Therefore, we have;

$\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}$

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

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3 years ago

Answer all questions:

lozanna [386]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

First, we will eliminate the x, so we multiply the first one by 2.

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2 years ago

Suppose that 1/2 of all cars sold at a Nissan dealer in a given year are Altimas, 1/3 are Maximas, and the rest are Sentras. Sup

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(1) Not conditional, 5/8

(2) Not conditional, 1/12

(3) Conditional, 1/18

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Maxima = 1/2 × 1/3 = 1/6

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(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12

(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18

A conditional probability uses if (as a condition) in making statements or asking questions

An unconditional probability makes statement or ask question without the use of condition (if)

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3 years ago