Describe in words what occurs during the process represented by the photosynthesis equation. Include the importance of sunlight

Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.

Lunna [17]

Answer:

x = $\frac{5}{2}$ , y = $\frac{27}{4}$

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

$\frac{x}{3}$ = $\frac{\frac{15}{4} }{\frac{9}{2} }$ = $\frac{15}{4}$ × $\frac{2}{9}$ = $\frac{5}{6}$ ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = $\frac{15}{6}$ = $\frac{5}{2}$

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Equate the last 2 parts of the ratios on both sides and solve for y

$\frac{\frac{9}{2} }{y}$ = $\frac{3}{\frac{9}{2} }$ = 3 × $\frac{2}{9}$ = $\frac{2}{3}$ ( cross- multiply )

2y = $\frac{9}{2}$ × 3 = $\frac{27}{2}$ ( divide both sides by 2 )

y = $\frac{27}{4}$

8 0

3 years ago

The ratio of the height of two similar pyramids is 4:7. The volume of the smaller pyramid is 1,331cm, to the nearest whole numbe

IRISSAK [1]

Answer:

The volume of the larger pyramid is equal to $7,133\ cm^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

In this problem, the ratio of the height is equal to the scale factor

$z=\frac{4}{7}$

step 2

Find the volume of the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> volume of the smaller pyramid

y----> volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{4}{7}$

$x=1,331\ cm^{3}$

substitute

$(\frac{4}{7})^{3}=\frac{1,331}{y}\\ \\(\frac{64}{343})=\frac{1,331}{y}\\ \\y=343*1,331/64\\ \\y=7,133\ cm^{3}$

8 0

3 years ago

PLZ I need help QUICKLY

dimulka [17.4K]

Answer:

The angles produced are not the same...

Step-by-step explanation:

I think the problem has an error in the answers. I get 33 for b and 31 for q which is NOT correct when they are both similar. In fact, even the question symbols aren't right. They're not congruent...they are similar so the symbol should be ~ not the concurrency. Sorry you have a stupid online system.

5 0

3 years ago

A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 623 babies bo

Margaret [11]

Answer:

The estimation for the number of newborns who weighed between 1724 grams and 5172 grams is 595.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3448, \sigma = 862$