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
MaRussiya [10]
3 years ago
8

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

e 15.0 (kips) and standard deviation 1.25 (kips). Calculate the following probabilities: (1) (2 points) P(X ≥ 17.5). (2) (2 points) P(14 ≤ X ≤ 18).
Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

\mu = 15.0

Standard deviation,

\sigma = 1.25

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})

=1-P(z\leq \frac{17.5 - 15}{1.25})

=1-P(z\leq \frac{2.5}{1.25})

=1-P(z\leq 2)

=1- 0.5793   ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})

=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})

=P(z\leq 2.4) - P(z\leq -0.8)

= 0.9918 - 0.2119

= 0.7799

You might be interested in
Simplify the expression (6x^3 divided by 3x^4)^2
Evgesh-ka [11]
(6x^3/3x^4)^2 = (2/x)^2 = 4/x^2
3 0
3 years ago
Read 2 more answers
Is
Harman [31]

Answer: an improper fraction

Step-by-step explanation:  An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction

3 0
1 year ago
A scientist is studying a certain strain of bacteria that grows at an exponential rate, doubling each cell every 5 minutes. Imag
riadik2000 [5.3K]
Not sure if the question is complete, but if the cell doubles every five minutes, you must first double the one, then simply square the answer every five minutes. 
3 0
3 years ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th
irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: FV=P(1+r)^n

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: r=\frac{0.09}{2}=0.045

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

FV=1540(1+0.045)^{12}

FV=1540(1.045)^{12}

FV=1540(1.69588)

FV=2611.6552

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0
3 years ago
Show if √5×√5×√8 is rational or irrational numbers​
kobusy [5.1K]
√5 x√5 x√8= √(5x5x8) = √200 = 10 √2
It’s an irrational number
8 0
1 year ago
Read 2 more answers
Other questions:
  • Vector u has its initial point at (21, 12) and its terminal point at (19,-8). Vector v has a direction opposite that of u, whose
    12·1 answer
  • How much would 4.5 pounds of Skittles cost
    11·1 answer
  • PLZZZ HEPPPPPP IN MATHHHH
    13·2 answers
  • Find th mean of the integers -3,10,2,-13,-11
    5·1 answer
  • X3+6x2-4x-24 factor completely
    12·1 answer
  • How do I solve this question ? Anyone ??
    7·1 answer
  • Can i have some help (marked an Brainllest)
    5·1 answer
  • Add the following expressions: 3r - 7 and -10r + 2<br> -13r-9<br> 13-5<br> O -7r - 9<br> -7r -5
    12·2 answers
  • Please help me with math
    5·1 answer
  • NO LINKS!!!!<br><br>Similarity Flow Chart Proofs Part 5<br><br>​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!