5, 10, 20, 40, ...

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

The inequality -15<-6 is given. Write the inequality you get when you perform the following operation:

Anna35 [415]

Step-by-step explanation:

strange, because the way you typed it, it would be absolutely correct.

If a < b and if c is a positive number, then

a/c < b/c

Dividing each side of an inequality by a positive number does not change the direction of the inequality symbol.

that is one of the defined rules.

so, did you make a mistake with a sign ? maybe the division is meant to be by -3 ?

then indeed, suddenly

5 > 2

so, please check the problem definition precisely. if your correct answer is actually wrong, then the original problem must be different than what you typed here.

8 0

3 years ago

QUESTION 1: To the nearest tenth, what is the area of a circle whose diameter is 21 inches? Use 3.14 for π . Enter your answer i

Rashid [163]

QUESTION 1: To the nearest tenth, what is the area of a circle whose diameter is 21 inches? Use 3.14 for π. Enter your answer in the box.
The area of a circle given its diametrom by definition is:
A = pi * (d / 2) ^ 2
Substituting the value of the diameter we have and applying 3.14 for the value of pi, we have:
A = (3.14) * (21/2) ^ 2
A = 346.185
Round to the nearest tenth:
A = 346.2 in ^ 2
Answer:
The area of a circle whose diameter is 21 inches is:
A = 346.2 in ^ 2
QUESTION 2: What is the circumference of a circle with a radius of 5.4 inches?
Enter your answer as a decimal in the box. Use 3.14 for pi. Round your answer to the nearest tenth.
By definition, the circumference of a circle is given by:
C = 2 * pi * r
Where,
r : radius of the circumference
Substituting the values we have:
C = 2 * (3.14) * (5.4)
C = 33,912 in
Round to the nearest tenth:
C = 33.9 in
Answer:
The circumference of a circle with a radius of 5.4 inches is:
C = 33.9 in
QUESTION 3: A scale model of an ancient Egyptian pyramid is 29 centimeters high, with a base length of 46 centimeters. The height of the real pyramid is 145 meters. What is the base length of the real pyramid? Enter your answer, in simplest form, in the box.
The first thing we must do in this case is to find the scale factor.
For this we use the relationship between the heights.
We have then:
145 = k * 0.29
From here, let's clear k:
k = (145) / (0.29)
k = 500
We now apply the scale factor to find the actual length of the base:
b = k * 0.46
b = 500 * 0.46
b = 230 m
Answer:
The base length of the real pyramid is:
b = 230 m

QUESTION 4: Which expression is equivalent to 13 (4-5x-1)?
For this case what you should do is rewrite the expression:
13 ((4-1) -5x)
13 (3-5x)
Now we apply the commutative property:
39-65x
Answer:
An expression that is equivalent to 13 (4-5x-1) is:
39-65x

3 0

3 years ago

Read 2 more answers

Which line segment is the diameter of circle O?

bixtya [17]

Answer:

MN

Step-by-step explanation:

Because the radius is a half of a diameter

8 0

3 years ago

The answer to the problem

Amiraneli [1.4K]

2. Pedro mixes 3/4 teaspoon of plant food for every gallon of water, and we need to find out how much he needs for 5 gallons.

First, make 5 gallons into a fraction. The easiest fraction to make would be 5/1, so we'll use that.

Now, we multiply the fractions to find out how much he needs. In order to do that, we multiply the numerators (top numbers) together, and we multiply the denominators (bottom numbers) together.

$\frac{3}{4} * \frac{5}{1}$
3 x 5 = 15
4 x 1 = 4

He needs 15/4 teaspoons of water. We can simplify this by seeing how many times 4 goes into 15.

4 x 3 = 12
4 x 4 =16

16 is bigger than 15, so we can't use that.
12 is 3 less than 15, so we can write the fraction as

3 3/15

Pedro needs 15/4, or 3 3/15 teaspoons for 5 gallons of water. (D)

4. Which of the following expressions is NOT equal to 7/10?

A) 5/10 + 1/10 + 1/10
B) 2/10 + 2/10 + 3/10
C) 3/10 + 3/10 + 2/10
D) 4/10 + 2/10 + 1/10

To find the answer, we simply have to add the fractions together. Any fractions with the same denominator (bottom number) can be added by putting all the numerators (top numbers) together over the denominator.

A) 5/10 + 1/10 + 1/10
5 + 1 + 1 = 7
7/10

B) 2/10 + 2/10 + 3/10
2 + 2 + 3 = 7
7/10

C) 3/10 + 3/10 + 2/10
3 + 3 + 2 = 8
8/10

D) 4/10 + 2/10 + 1/10
4 + 2 + 1 = 7
7/10

C came out to 8/10 which is bigger than 7/10. This means that C is not equal to 7/10.
The answer is C) 3/10 + 3/10 + 2/10

4 0

3 years ago

Read 2 more answers