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
Gennadij [26K]
3 years ago
10

The length of human pregnancies from conception to birth varies according to an approximately normal distribution with a mean of

266 days and a standard deviation of 16 days. What percentage of pregnancies last between 250 and 282 days?
Mathematics
1 answer:
g100num [7]3 years ago
4 0

Answer:

68% of pregnancies last between 250 and 282 days

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 266

Standard deviation = 16

What percentage of pregnancies last between 250 and 282 days?

250 = 266 - 16

250 is one standard deviation below the mean

282 = 266 + 16

282 is one standard deviation above the mean

By the Empirical Rule, 68% of pregnancies last between 250 and 282 days

You might be interested in
Find the total area for the regular pyramid T.A. =
Stolb23 [73]

Answer:

The answer to your question is At = 48 + 36\sqrt{3}

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

    Area = length x height / 2

    length = 12

    height² = 12² - 6²

                 = 144 - 36

                 = 108

    height = \sqrt{108} = 6\sqrt{3}

    Area = 12 x 6\sqrt{3} / 2

              = 36\sqrt{3}

b) Lateral area

   height² = 10² - 6²

                = 100 - 36

                = 64

   height = 8

   Area = 12 x 8/2

            = 48

c) Total area

   At = 48 + 36\sqrt{3}

4 0
2 years ago
a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c
Ivanshal [37]

Answer:

Step-by-step explanation:

5(x - 1.5) = 22.5

5x - 7.5 = 22.5

5x = 15

x = 3

8 0
2 years ago
The product of two consecutive integers is 90. Which equation can be used to find the two integers?
joja [24]
Two consecutive integers would be x and x+ 1
if you multiply them you have x(x + 1) = x^2 + x
if you want the product to equal 90 you get x^2 + x = 90
The first option is correct.
3 0
3 years ago
Determine the value of x for the following isosceles triangle.
andrew11 [14]

Given :

▪︎This triangle is an isosceles triangle.

▪︎Measure of one of its legs = 6 inches

▪︎Measure of its equivalent leg = \tt \frac{x}{9} inches

▪︎Measure of its base = \tt \frac{5}{2} inches

Which means :

=\tt 6 =  \frac{x}{9}

=\tt  \frac{6}{1}  =  \frac{x}{9}

=\tt 6 \times 9  = x \times 1

\hookrightarrow\color{plum}\tt 54 = x

Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :

=\tt 6 =  \frac{54}{9}

= \tt6 = 6

Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.

▪︎Therefore, the value of <u>x = 54</u>

8 0
2 years ago
If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed?
Lynna [10]
There are 6, you'd think there would be 8 but the answer is actually 6. A diagonal is a line segment that connects to vertices, the two vertices chosen do not count when forming the triangle, two vertices that are adjacent to that chosen vertex are NOT included when forming the diagonal. It's confusing, but I hope this helps. If you have any follow up questions I'd love to answer them.
3 0
3 years ago
Read 2 more answers
Other questions:
  • How can I solve h-17=-12
    9·2 answers
  • there are 480 students in a class. the ratio of boys to girls is 1:3 how many students in the class are boys
    12·2 answers
  • Ben bought 12 pounds of apples for $6?use the ratio table to find cost of buying 3 pounds of apples
    5·1 answer
  • 6 times 6 subtracted by 24 plus 8888888566783815829
    6·2 answers
  • Find a normal vector n to the plane z−5(x−2)=2(8−y)
    8·1 answer
  • Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs
    11·2 answers
  • The product of 5 and 3 subtracted from 25
    11·2 answers
  • Make m the subject of g-3m=am+5​
    9·2 answers
  • Help pls all shaded parts need answers
    6·1 answer
  • 4. Find the solution to the equation below.<br> please finish<br> this<br> problem
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!