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3 years ago

Please help! This is due in less that 10 minutes! (Will mark Brainliest!)

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

8 0

Answer:

Answer: a = - 12

Step-by-step explanation:

We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;

Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;

2 * ( 18x + 12y = 36 ), ⇒ 36x + 24y = 72

+ - 3 * ( ax - 8y = - 24 ) + - 3ax + 24y = 72

As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;

- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,

Answer: a = - 12

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Answer:

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In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could

saul85 [17]

Answer:

a 0.5

b 0.4831

c 0.4354 < P < 0.53008

Step-by-step explanation:

Given that :

Probability (P) of a head or a tail when a coin is being tossed or flipped = 1/2 = 0.5

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a) Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?

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Point estimate $(p') = \frac{X}{n}$

= $(p') = \frac{143}{296}$

= 0.4831

c) Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.

The $Z_c$ for 90% is 1.645

Using the formula P" -E < P < P" + E

where E = margin of error : $Z_c * \sqrt{\frac{P(1-P)}{n} }$

$=1.645 * \sqrt{\frac{0.4831(0.5169)}{296} }$

$=1.645 * \sqrt{\frac{0.2497}{296} }$

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= 0.0477

∴ P" -E < P < P" + E

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4 years ago

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Find the value of x. Round to the nearest tenth.

denpristay [2]

Answer:

$\displaystyle x \approx 38.2 ^{\circ}$

General Formulas and Concepts:

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Left to Right

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