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a_sh-v [17]
4 years ago
5

NEED HELP WITH THE CORRECT ANSWER AND EXPLANATION!! :p

Mathematics
1 answer:
scoray [572]4 years ago
6 0

Answer: \frac{1}{8}\ lb

Step-by-step explanation:

According to the information given in the exercise, you know that the total amount of butter (in pounds) that were divided evenly, is:

total=\frac{3}{4}\ lb

The exercise explains that they filled six dishes with that division. Therefore, in order to calculate the value of the variable "x", you need to divide \frac{3}{4}\ lb by 6.

But first it is important to remember the Division of fractions:

\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\div\frac{d}{c}=\frac{ad}{bc}

Therefore, applying that rule, you get:

\frac{3}{4}\ lb\div6=(\frac{3}{4}\ lb)(\frac{1}{6})=\frac{3}{24}\ lb

Finally, reducing the fraction you get the following result expressed as a fraction:

=\frac{1}{8}\ lb

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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%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

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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