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4 years ago

Briefly explain how to convert a fraction to its decimal form.

2 answers:

5 0

Answer: So what my teacher always told me to do was act like a fraction was a tree. The tree always falls to the left which then outs the fraction as a division problem. You solve the division problem

Step-by-step explanation:

Ok so for example, lets use $\frac{1}{2}$ . Drawing it as a tree it then falls to the left. Therefore it becomes 1 ÷ 2. So 2 can not go into one therefore you need to put a decimal point at the top and add a zero behind the 1 under the bar. The 1 then becomes a 10, therefore 2 can go into 10 5 times. However the answer is not 5. You have to remember to bring the decimal point that you placed before the 5. In conclusion hte answer is .5 . This may be confusing because I am not able to include any photos but hopefully you'll get the point.

Lerok [7]4 years ago

4 0

Answer:

you just divide

Step-by-step explanation:

Just divide the top of the fraction by the bottom, and read off the answer!

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.) Suppose college students produce 650 pounds of solid waste each year, on average. Assume that the distribution of waste per c

amid [387]

Answer:

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 650 pounds and a standard deviation of 20 pounds.

This means that $\mu = 650, \sigma = 20$

What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?

Less than 620:

pvalue of Z when X = 620. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{620 - 650}{20}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

More than 700:

1 subtracted by the pvalue of Z when X = 700. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{700 - 650}{20}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938

1 - 0.9938 = 0.0062

Total:

0.0668 + 0.0062 = 0.073

0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste

4 0

3 years ago

Select all the expressions that are equivalent to y'.

aleksley [76]

Answer:

A, B, D

Step-by-step explanation:

A) y squared times y squared you just add the exponents

B) y^6/y^2 write it out as (y)(y)(y)(y)(y)(y)/(y)(y) then u cancel out two "y" from numerator and denominator and is left with y^4

C) is just 0 so its wrong

D) is the same process as B just cancel out 5 "y" from numerator and denominator and is left with y^4

E) is incorrect bc you need to add the exponents and you will get y^5 which is not equal to y^4 so yeah its wrong

3 0

3 years ago

Angle X is the larges angle in the triangle XYZ. Angle Y is the smallest angle. How does the sum of the measures of angles Y and

loris [4]

Dear Dollster444, the sum of angles Y and Z is bigger than Y.

3 0

3 years ago

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.