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2 years ago

Help me please number 3

Mathematics

1 answer:

asambeis [7]2 years ago

3 0

Answer:

c = 26

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

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3 years ago

A 1 3/4 kg fish weighed 1 3/16 kg after it was cleaned. how much was the decreased in weight of the fish.

joja [24]

Answer:

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Step-by-step explanation:

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3 years ago

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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".

Solution to the problem

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

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

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: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

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4 years ago

What are the coordinates of point A?

Virty [35]

(-4,-3) need 20 characters

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3 years ago

If a box is 12.2 cm by 9.8 cm by 16.4 cm, what is the volume of the box?

sp2606 [1]

To find volume multiply length, width, and height.
12.2 x 9.8 x 16.4 =1960.784
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4 0

4 years ago