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2 years ago

To convert 8 kiloliters to liters, the first ratio is 1 kL/1,000 L. To set up the proportion, the second ratio must be _____.

Mathematics

2 answers:

dlinn [17]2 years ago

8 0

Answer:

B. $\frac{8kL}{x}$

Step-by-step explanation:

For 2 ratios to be the same, they have to be equal to one another, in this case, meaning if a part of one of the ratios is unknown, you must be able to solve it by setting the two ratios equal to one another:

$\frac{1kL}{1000L} =\frac{8kL}{x}\\x=\frac{8kL}{\frac{1kL}{1000L}} \\x=8kL*\frac{1000L}{1kL} \\x=8000L$

My name is Ann [436]2 years ago

6 0

It would be b. the first ratio is
1kL
----
1000

so you would match up the kL and not know how many regular liters there are.

8kL
-----
x

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A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo

borishaifa [10]

Answer:

a) $P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

b) $P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

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".

Part a

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:

$X \sim N(7.37,1.25)$

Where $\mu=7.37$ and $\sigma=1.25$

We are interested on this probability

$P(5$

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:

$P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

Part b

For this case we want this probability:

$P(X>6)$

And we can use the z score and we got:

$P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

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2 years ago

a kilogram of dalandan in pure gold costs P55. if jessica bought k kilograms, represent the amount paid A as a function

Rufina [12.5K]

Answer:

$A(k) = 55k$

Step-by-step explanation:

Given

$1kg = P55$

Required

Determine the cost of k kilogram

$1kg = P55$

Multiply both sides by k

$k * 1kg = P55 * k$

$k\ kg = 55 k$

Representing this as a function:

$A(k) = 55k$

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2 years ago

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software,

grandymaker [24]

Solution:

There is no saddle point (DNE). However, there is local maximum at (1, 1/2) for the given function.

Explanation:

we have function of two variables f(x,y)= 9-2x+4y-x^2-4y^2

we will find the values by partial derivative with respect to x,y,xy

$f_{x}$ = -2 -2x

$f_{y}$ = 4 -8y

to find the saddle point we should first find the critical points so equate

-2 -2x=0 and 4 -8y=0

we get x= 1 and y =1/2 so, critical points are (1,1/2)

to find local maximum or minimum we have to find $f_{xx}$ , $f_{yy}$ and $f_{xy}$

formula is $f_{xx}$ * $f_{yy}$ - $f^{2_{xy} }$ =0

$f_{xx}$ = -2

$f_{yy}$ = -8

$f^{2_{xy} }$ =0

putting values in formula

(-2)*(-8) -0 =16 > 0, and $f_{xx}$ < 0 and $f_{yy}$ <0

so, here we have local maximum

we have no saddle point for this function by using the same formula we used to find extrema.

4 0

2 years ago

Read 2 more answers

Express 1.2 km as a percentage of 300 m

Effectus [21]

Answer:

1.2km is 400% of 300m

Step-by-step explanation:

1 km=1000m

So,1.2 km=1000*1.2=1200m

Let 1.2km(or 1200m) be x% of 300 m

By the problem,

300*x/100 = 1200

Or, 3x=1200

Or,x=1200/3=400

1.2km is 400% of 300m

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2 years ago

You have at most $3.65 to make copies for a school project. Each copy costs $0.25. Write and solve an inequality that represents

slamgirl [31]

The equation for the problem is $0.25x$ ≤ $3.65$

Hope it helps!

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2 years ago