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
Ray Of Light [21]
3 years ago
15

Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer: 0.1587

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches.

i.e. \mu=70 ,\ \sigma=4

Let x be the random variable that represents the heights of adult males.

Also, z=\dfrac{x-\mu}{\sigma}

For x= 74 , we have

z=\dfrac{74-70}{4}=1

Then, the probability that a randomly selected male is more than 74 inches tall:-

P(x>74)=P(z>1)=1-P(z\leq1)\\\\=1- 0.8413447\\\\=0.1586553\\\\\approx0.1587 [using z-value table.]

Hence, the probability that a randomly selected male is more than 74 inches tall = 0.1587

You might be interested in
Can Someone Please Explain This To Me
Ghella [55]

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

3 0
2 years ago
Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lin
olga nikolaevna [1]
<h2>Answer:</h2>

The conditional statement is:

  • If two lines are parallel then they lie in the same plane.
<h2>Step-by-step explanation:</h2>

We know that a conditional statement is the statement which is written in the form of:

        If  p then q  i.e.  p → q

where p is the hypothesis of the statement.

and q is the conclusion  of the statement which is based on the hypothesis.

Here we are given a statement as:

 Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )

6 0
3 years ago
Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy leng
HACTEHA [7]

Solution :

The data is normally distributed.

The standard deviation is 18 days

Here the data is normally distributed and 54 days is 3 days of standard deviation.

Therefore, the percentage of the births that would be \text{expected to occur} within the 54 days of the mean \text{pregnancy} length is given by :

= P( -3 < Z < 3)

= 0.9544

= 95 %

Therefore, about 95% of the births would be \text{expected to occur} within 54 days of the men \text{pregnancy} length.

8 0
2 years ago
What is the initial value of the linear function that represents this situation
jekas [21]

Answer:

As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.

Let x represented day and y represents the number of photo

Total number of 24  photo in x days is, 24x

then; as per the given statement our equation becomes;

y = 24x+44            .....[1]

now, to find the total number of photos took by Hannah for 6 days in Rome;

put x = 6 in [1] we get;

y = 24(6) + 44 = 188

Therefore, the total number of photos on Hannah's Camera is, 188 photos.

To, find the initial value for the linear function y =24x +44.

Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.

Substitute x =0 in y =24x +44

y= 24(0) + 44

y = 0 + 44

y = 44

Therefore, the initial value for the equation y =24x+44 is 44 photos.


5 0
3 years ago
In a village the number number of houses and flats are in a a ration 9:5
ki77a [65]

Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

100 ÷ 5 = 20 ← value of 1 part of the ratio, then

9 parts = 9 × 20 = 180 ← number of houses

8 0
3 years ago
Other questions:
  • find the dimensions of a rectangle whose width is 4 miles less than its length and whose area is 96 square miles
    9·1 answer
  • What are equivelent ratios<br>give an example please then help me with problem 24
    14·1 answer
  • If you want to place a 9 3/4 inch towel bar in the center of a door that is 27 1/2 wide, how much space will be on each side of
    11·2 answers
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    13·2 answers
  • Convert 19'54" into a fraction of a degree. A. (199/600)° B. (199/1,200)° C. (199/900)° D. (199/1,800)°
    15·2 answers
  • Help its math again i forgot how to do it theres 2​
    9·1 answer
  • what is your name? your age ? and then if you are 12 or 13 can you call me i need help on computer science i will give you my ph
    15·2 answers
  • Help if you get it right I will give you Brainliest
    10·1 answer
  • Plz help will give what I got (45 points)
    8·1 answer
  • PLEASE HELP!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!