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3 years ago

What's 412 divided by 84

Mathematics

2 answers:

atroni [7]3 years ago

8 0

412/84 = 4 R 76 <- you will have a remainder

worty [1.4K]3 years ago

3 0

412 / 84
= (2 * 206) / (2 * 42 )
= 206 / 42
= (2 * 103 ) / (2 * 21)
= 103/21
= 4.904761...

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Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

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3 years ago

This rational expression is nonequivalent. 5x / 25x^4 ; x^3 / 5x^15<br> True or false?????

FromTheMoon [43]

It is nonequivalent. Figure it out this way. Think about what number has to be multiplied by both the numerator and the denominator of $\frac{5x}{25x^4}$ to get to $\frac{x^3}{5x^15}$ . It has to be the samee number for the one expression to be equivalent to the other. To get from 5x to x^3, we have to multiply by 1/5x^2. When we do that we get x^3. Good. Now we have to multiply the denominator by the same thing, 1/5x^2. $25x^4(\frac{1}{5}x^2)=5x^6$ . As you can see, they are not equivalent.

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3 years ago

Read 2 more answers

This graph represents which function?

il63 [147K]

Answer:

Step-by-step explanation:⁻7+

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3 years ago

What Does It Mean to Be A Responsible Food Citizen?

Lelu [443]

Answer:

the meaning of it means the practice of engaging in food-related behaviors that support, rather than threaten, the development of a democratic, socially and economically just, and environmentally sustainable food system.

Step-by-step explanation:

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3 years ago

In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A

vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

$\mu_s=np=500*0.90=450$

The standard deviation will be:

$\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7$

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

$z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932$

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

$\mu=np=300*0.932=279.6$

The standard deviation will be:

$\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36$

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

$P(270\leq x\leq280)=P(269.5$

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

$P(X=280)=P(279.5$

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3 years ago