Multiply:(5x+4y) by(2x-3y)no spam step by step explaination

Mathematics

2 answers:

34kurt2 years ago

6 0

Answer:

$\huge\boxed{\bf\:10x^{2} - 7xy - 12y^{2}}$

Step-by-step explanation:

$\tt\:(5x+4y)*(2x-3y)\\\\\sf\: Use \: the \: distributive \: property. \\\\\tt\: 5x (2x - 3y) + 4y(2x - 3y)\\\tt\:10x^{2} - 15xy + 8xy - 12y^{2}\\\\\sf\: Simplify \: it \: further.\\\\\boxed{\bf\:10x^{2} - 7xy - 12y^{2}}$

_________

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Dmitry_Shevchenko [17]2 years ago

5 0

Step-by-step explanation:

5x(2x-3y)+4y(2x-3y)

10x-15y+8xy-12y²

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Suppose a national survey conducted among a simple random sample of 1475 adults shows that 54% of Americans think the Civil War

Lorico [155]

Answer:

(1) $H_0$ : p = 0.5, $H_A$ : p > 0.5

(2) Test statistic = 3.08

(3) P-value = 0.00104

Step-by-step explanation:

We are given that a simple random sample of 1475 adults shows that 54% of Americans think the Civil War is still relevant to American politics and political life.

We have to test the hypothesis to determine if there is a strong evidence that the majority of the Americans think the Civil War is still relevant.

(1) Let Null Hypothesis, $H_0$ : p = 0.50 {means that 50% of the Americans think that the Civil War is still relevant}

Alternate Hypothesis, $H_a$ : p > 0.50 {means that majority of the Americans think that the Civil War is still relevant,i.e; more than 50%}