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3 years ago

10

What is the solution of the equation 3x − 7 = 4x? -7 -1 1 7

2 answers:

gogolik [260]3 years ago

8 0

The solution of this equation is -7.
3x - 7 = 4x
3x - 7 - 4x = 0
3x - 4x - 7 = 0
-x - 7 = 0
-x = 7
x = -7

Viktor [21]3 years ago

7 0

3x-7=4x
3x-4x=7
-x=7 |*(-1)
x=-7
Answer: -7

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3 years ago

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Step-by-step explanation:

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2 years ago

Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Supp

IgorC [24]

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, $\hat p_1$ = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, $\hat p_2$ = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

$\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}$

Where;

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k₂ = 0.67 × 25 = 16.75

$\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685$

The test statistic is given as follows;

$Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}$

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From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

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