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iren2701 [21]
2 years ago
13

I do t know how to do it

Mathematics
1 answer:
Luba_88 [7]2 years ago
7 0

We know: the sum of the angles measures in a triangle is 180°.

Therefore we have the equation:

64° + 75° + α = 180°

139° + α = 180°      <em> subtract 139° from both sides</em>

α = 41°

α and ∠2 are Supplementary Angles - they add up to 180°.

α + m∠2 = 180°

41° + m∠2 = 180°    <em>subtract 41° from both sides</em>

<h3>m∠2 = 139°</h3>

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Factor completely 3x^2 - x - 4
kakasveta [241]

Answer:

<em>B. </em>(3x-4)(x+1)<em></em>

Step-by-step explanation:

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2 years ago
F(x) = (x - 2)^2 + 2<br> find the range of the function
a_sh-v [17]
Vertex = (2, 2)
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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
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Answer:

P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=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 weights of a population, and for this case we know the distribution for X is given by:

X \sim N(10.5,0.3)  

Where \mu=10.5 and \sigma=0.3

We are interested on this probability

P(X>10.983)

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>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)

And we can find this probability using the complement rule and with excel or the normal standard table:

P(z>1.61)=1-P(z

8 0
3 years ago
The length of a rectangle is 3 times the width.If the length is decreased by 4 m and the width is increased by 1 m , the perimet
o-na [289]

Answer:

Length = 27 metres

Width = 9 metres

Step-by-step explanation:

Consider the width to be x.

Then the length will be 3x.

The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.

So the dimensions will become:

Length=3x-4

Width=x+1

Now solve for the variable x using the formula for perimeter of a rectangle:

P = 2(l+b)

66 = 2(3x-4+x+1)     (Divide both sides by 2 and simplify the parentheses)

33 = 4x-3      (Add 3 to both sides)

36 = 4x        (Divide both sides by 4)

x = 9

Now plug-in the value of x into the original dimensions which were:

Length=3x

Width=x

So the dimensions are:

Length = 27 metres

Width = 9 metres

6 0
2 years ago
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ki77a [65]

Answer:

x^2 + 2xy + y ^2

Step-by-step explanation:

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(x + y) + (x + y)

x^2 + xy + xy + y^2

x^2 + 2xy + y ^2

4 0
2 years ago
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