1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
7nadin3 [17]
3 years ago
6

The systolic blood pressure of​ 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12

mmHg. What percentage of​ 18-year-old women have a systolic blood pressure that lies within 3 standard deviations of the​ mean?
(A) 68%
(B) 95%
(C) 100%
(D) 99.7%
Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

(D) 99.7%

Step-by-step explanation:

We are asked to find the percentage of​ 18-year-old women that will have a systolic blood pressure that lies within 3 standard deviations of the​ mean.

The empirical rule of normal distribution states approximately 68% of data lies within one standard deviation of mean, approximately 95% of data lies within two standard deviations of mean and approximately 99.7% of data lies within three standard deviations of mean.

Since the systolic blood pressure of​ 18-year-old women is normally distributed, therefore, 99.7% of 18-year-old women have a systolic blood pressure that lies within 3 standard deviations of the​ mean.

You might be interested in
How do I do this help
tatuchka [14]
6÷40.5= $6.75 per hour
8÷54= $6.75 per hour
y= 6.75x
5 0
3 years ago
3. Which sequence has a common difference of three? *
Andrej [43]

Answer:

2, 6, 18, 54..

Step-by-step explanation:

2, 6, 18, 54...

2 x 3 = 6

6 x 3 = 18

18 x 3 = 54

54 x 3 = ...

8 0
3 years ago
Read 2 more answers
At most, how many unique roots will a third-degree polynomial function have?
beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial p(x) has solutions x_1,\ x_2,\ldots x_n, then you can factor it as

p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)

But this is a fourth-degree polynomial.

7 0
3 years ago
The temperature outside in the morning was 15 degrees below zero. By lunchtime it was 25 degrees above zero. How many degreees d
denpristay [2]

15 degrees below zero = -15

25 degrees above zero = 25

25 + 15 = 40

It rose 40 degrees.

8 0
3 years ago
the height y of a ball thrown by a child is given by y = -1/12x^2 + 2x + 4. how high is the ball when it is at its maximum heigh
zhuklara [117]

Answer:

The height of ball when it is at maximum height is 12  unit

Step-by-step explanation:

Given as :

A ball is thrown by child to height y

And y as a function  x is y = -\frac{1}{12}x^{2}+2x+4

So, for maximum value of height ,

\frac{\partial y}{\partial x}  = 0

Or , \frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x} = 0

Or, -\frac{1}{12}(2x)+2 = 0

Or, \frac{1}{12}(2x) = 2

or,  x = 12

Hence The height of ball when it is at maximum height is 12  unit  Answer

3 0
3 years ago
Other questions:
  • If an item
    13·1 answer
  • -Based on the construction, you can conclude that the line passing through
    11·2 answers
  • A bean plant grows at a constant rate for a month. After 10 days, the plant is
    14·1 answer
  • A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri
    5·1 answer
  • Mike observed that 75% of the students of a school liked skating if 35 of the students of the school did not like skating the nu
    7·2 answers
  • 1. Which inequality represents the following statement? Two times the quantity x plus 4 is greater than 10.
    12·1 answer
  • Will give brainlest answer
    6·1 answer
  • HELP
    13·1 answer
  • Simplify -3(3x^2+2y-5)-2(x^2-3x)
    15·2 answers
  • Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!