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2 years ago

6

Piglet measured the rectangle on his paper. Two sides were each 4 inches long. If the perimeter of the rectangle was 30 inches h

ow long was one of the other two sides

1 answer:

V125BC [204]2 years ago

6 0

The answer is 11 inches.

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Why are we teching hligh levels of math at lower grades

Oksanka [162]

Answer:

I have no idea

Step-by-step explanation:

people are weird

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2 years ago

What is the probability of tossing a penny and landing on heads 3 times in a row

Rasek [7]

Answer:

Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

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2 years ago

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

$P(140< \bar X$

5 0

2 years ago

Can someone please help me on this one

Artemon [7]

Answer: 78.5 units^2

Step-by-step explanation:

The area of the circle is equal to pi*radius^2.

The diameter is double the radius, which means the radius is 10/2 = 5.

Therefore, the area is pi*5^2 = 25pi.

We use 3.14 for pi and we get 25*3.14 = 78.5 units^2

7 0

2 years ago

5x + 6(x - 2) - 8 (x - 3)

Alex Ar [27]

Answer:

The value of $x=-4$ . The figure is also attached below.

Step-by-step explanation:

Considering the expression

$5x + 6(x - 2) - 8 (x - 3)$

If we have to find the vale of $x$ , then

$5x + 6(x - 2) - 8 (x - 3)=0$

$5x+6x-12-8\left(x-3\right)=0$

$5x+6x-12-8x+24=0$

$3x+12=0$

$\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}$

$3x+12-12=0-12$

$3x=-12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{-12}{3}$

$x=-4$

Therefore, the value of $x=-4$ . The figure is also attached below.

Keywords: equation

Learn more about equation solution from brainly.com/question/13678520

#learnwithBrainly

5 0

3 years ago