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Sergio [31]
3 years ago
6

The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9

ml of red water. Andre mixes 16 ml of blue water with 9 ml of red water. Which person will get a color mixture that is the same shade as Perfect Purple Water? Jada Andre
Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right  recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml  blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

\frac{8ml}{3ml} is not equivalent to \frac{16ml}{9ml}

Because dividing Andre's mixture  by a common value  will  not give  the equivalent ratio of the ideal recipe

\frac{16ml}{9ml}  \frac{/}{/}  \frac{3}{3} =\frac{5.3ml}{3ml}  

Jada mixes 24ml blue water with 9ml red water

\frac{8ml}{3ml} is equivalent to \frac{24ml}{9ml}

Because dividing Jada's mixture  by a common value  gives the equivalent ratio of the ideal recipe

\frac{24ml}{9ml}  \frac{/}{/}  \frac{3}{3} =\frac{8ml}{3ml}  

This shows that Jada got the right recipe and will get  same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for  Perfect Purple Water

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3 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

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53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

5 0
3 years ago
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