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2 years ago

Find the value of x for which ABCD must be a parallelogram. Express your answer as a decimal.

Mathematics

2 answers:

Pie2 years ago

8 0

2x+7=12x-6
7=10x-6
13=10x
13/10=x

solmaris [256]2 years ago

6 0

Answer:

X= 1.3

Step-by-step explanation:

If you need this to be a parallelogram, you need to found two pairs of parallel sides to be the same length.

The AB side has to be the same as the CD side.

So, to find x, you need to equal the two equations given, because both sides have to be the same.

$2x+7=12x-6$

To find x first put all X terms to one side of the equal and no X terms to the other side.

$7+6=12x-2x$

And you resolve

$13=10x\\13/10=x\\1.3=x$

So, to have a parallelogram, the value of X is 1.3

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While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-s

erma4kov [3.2K]

Answer:

a) $97.1\%$ b) $13.6\%$ $c) 772 \:calories$

Step-by-step explanation:

$\mu=1071,\:\sigma=301$

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%, 2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?

By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

$68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)$

But the question wants to know more than 469 calories, then $13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\$

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

$(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%$

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

The Mean and Standard deviation
The Z score and then multiply by that Standard Deviation
Add this to the mean

. $Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772$

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

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3 years ago

a golf ball is hit down a fairway. the golfer relates the time passed to the height of the ball. is this a function?

andre [41]

Yes, considering that the ball cannot have two different heights at the same exact time.

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3 years ago

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Andrej [43]

Answer:

$65,351+/-$3,661.73

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Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

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z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

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Answer:

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melisa1 [442]

Answer:

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