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3 years ago

Find the measure of the missing angle. 34°

Mathematics

2 answers:

Digiron [165]3 years ago

5 0

The answer is 56.

As you can see, the triangle given is a right angle, meaning it is 90 degrees. To find the missing angle, we can solve 90 - 34 to get 56.

hope this helps !! have a nice day :))

butalik [34]3 years ago

4 0

56 I hoped this helped youuu

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10. A taco stand sells tacos for $3.25 each. The stand’s expenses for the day are $210. Define your variables and write an inequ

makvit [3.9K]

X : number of tacos they sell per day. ...... profit = y = 3.25 × x - 210 ......inequality. y > 0. so. x > 210/3.25 = 840/13 = 64. ......so the taco stand must sell at least 65 tacos for making profit.

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2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at

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Answer:

the total number of marbles are 12 and there are 3 colours so you divide 12 by 3

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2 years ago

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GrogVix [38]

5/6 of a yard divided by 5 is 1/6 of a yard.

Each piece is 1/6 yards long.

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3 years ago

In the xy-plane, the line determined by the points (2,k) and (k, 32) passes through the origin. Which of the following could be

alexgriva [62]

1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that

2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so

3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)

k=0

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1 year ago

The article "Monte Carlo Simulation—Tool for Better Understanding of LRFD" (J. Structural Engr., 1993: 1586–1599) suggests that

Sedaia [141]

Answer:

a) $P(X$

And we can find this probability using the normal standard distribution or excel and we got:

$P(z$

b) $P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

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

$P(z>3.78)=1-P(Z$

c) $z=0.674$

And if we solve for a we got

$a=43 +0.674*4.5=46.033$

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.

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 heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(43,4.5)$

Where $\mu=43$ and $\sigma=4.5$

Part a

We are interested on this probability

$P(X$

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:

$P(X$

And we can find this probability using the normal standard distribution or excel and we got:

$P(z$

Part b

$P(X>40)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-43}{4.5})=P(z>3.78)$

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

$P(z>3.78)=1-P(Z$

Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674$

And if we solve for a we got

$a=43 +0.674*4.5=46.033$

So the value of height that separates the bottom 75% of data from the top 25% is 46.033.

8 0

3 years ago