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laila [671]
1 year ago
9

Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Mathematics
1 answer:
Oduvanchick [21]1 year ago
3 0
<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

4 + 2 sin(x)= 14-8 sin(x)

<h3>2. Subtract "4" from both sides of the equation.</h3>

-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10

<h3>4. Divide both sides by 10.</h3>

\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

arcsin(sin(x))=arcsin(1)\\ \\x=90

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 614 babies bo
MissTica

Answer:

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean weight was 3398 grams with a standard deviation of 892 grams.

This means that \mu = 3398, \sigma = 892

Proportion that weighed between 1614 and 5182 grams:

p-value of Z when X = 5182 subtracted by the p-value of Z when X = 1614.

X = 5182

Z = \frac{X - \mu}{\sigma}

Z = \frac{5182 - 3398}{892}

Z = 2

Z = 2 has a p-value of 0.9772

X = 1614

Z = \frac{X - \mu}{\sigma}

Z = \frac{1614 - 3398}{892}

Z = -2

Z = -2 has a p-value of 0.0228

0.9772 - 0.0228 = 0.9544.

Out of 614 babies:

0.9544*614 = 586

The number of newborns who weighed between 1614 grams and 5182 grams was of 586.

4 0
3 years ago
Plz answer 100 points!!!!!
zlopas [31]

Answer:

3x + ( - 2 - 3) = 19 \\ 3x+(- 5) = 10 + 9 \\ (1 + 2)x + ( - 5) = 19

all values stand for 3x+(-5)=19

  • 3x-5=19=> 3x=24=> <u>x=8</u>.

Three step requires another step, so it is difficult than two step process.

no, their is no limit to the number of steps it take to solve an equation.

Every number can be described as a sum/difference of two or three numbers.

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Step-by-step explanation:

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