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aliya0001 [1]
2 years ago
13

Look at the equations below. Identify which equation has infinitely many solutions A. 21 + 2.5w = 6 +5.7w - 3.2w + 15 B. 9k +1 =

4k - 1 + 5k C. x=4 - 0.5(x + 2) D. 1/2x+4=2/3x​
Mathematics
1 answer:
Volgvan2 years ago
3 0

The equation that has infinitely many solutions in the options is 21 + 2.5w = 6 +5.7w - 3.2w + 15

<h3 /><h3 /><h3>What is an equation with an Infinitely many solution:</h3>

An equation with infinitely many solutions essentially have same thing on both sides.

Generally, a linear equation has infinitely many solution when the equations are equivalent. Let take for example:

  • 2y + 2= y + y + 2

The equation above have infinitely many solution because there is no actual value of y.

Therefore,

2y + 2 = 2y + 2

2 = 2

We can see both sides are equal to each other. So, this is an infinitely many solution.

Therefore, 21 + 2.5w = 6 +5.7w - 3.2w + 15 has an infinitely many solution.

  • 21 + 2.5w = 6 +5.7w - 3.2w + 15
  • 21 + 2.5w  = 6 + 15 + 5.7w - 3.2w
  • 21 + 2.5w = 21 + 2.5w
  • 21 = 21
  • 0 = 0

learn more infinite solution: brainly.com/question/21499734?referrer=searchResults

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3 years ago
Suppose 45% of the population has a college degree.
levacccp [35]

Using the normal distribution, there is a 0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

The proportion estimate and the sample size are given as follows:

p = 0.45, n = 437.

Hence the mean and the standard error are:

  • \mu = p = 0.45
  • s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.45(0.55)}{437}} = 0.0238

The probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3% is <u>2 multiplied by the p-value of Z when X = 0.45 - 0.03 = 0.42</u>.

Hence:

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

By the Central Limit Theorem:

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

Z = (0.42 - 0.45)/0.0238

Z = -1.26

Z = -1.26 has a p-value of 0.1038.

2 x 0.1038 = 0.2076.

0.2076 = 20.76% probability that the proportion of persons with a college degree will differ from the population proportion by greater than 3%.

More can be learned about the normal distribution at brainly.com/question/28159597

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8 0
2 years ago
HELP TEST EMERGENCY !!!
stiks02 [169]

Answer:

DG = 17

Step-by-step explanation:

DG and EF are similar so sides are same.

2x - 7 = x + 5

2x - x = 5 + 7

x = 12

So DG = 2x - 7

           = 2(12) - 7

           = 24 - 7

           = 17

4 0
3 years ago
What is the slope of the line that contains (-10,-8) (-4,40)
mart [117]

Answer:

y = 8x + 72

Step-by-step explanation:

3 0
3 years ago
Find the area of polygon​
Mumz [18]

Answer:

87 cm²

Step-by-step explanation:

there is 1 triangle and 1 rectangle in the diagram. so you have to find the area of the both polygons and sum up to find the total area of polygon

area of triangle formula:

\frac{1}{2}  \times base \times height

1) area of triangle AED

base = 12 cm

height = 4.5 cm

area:

\frac{1}{2}  \times 12 \times 4.5 = 27 {cm}^{2}

area of rectangle formula:

length \times height

2) area of rectangle ABCD

length = 12cm

height = 5 cm

area:

12 \times 5 = 60 \: cm {}^{2}

3) area of whole polygon

= area of triangle AED + area of rectangle ABCD

= 27 cm² + 60 cm²

= 87 cm²

7 0
3 years ago
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