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
svlad2 [7]
4 years ago
15

The amount of rainfall in January in a certain city is normally distributed with a mean of 3.7 inches and a standard deviation o

f 0.5 find the value of Q1
Mathematics
1 answer:
White raven [17]4 years ago
6 0

Answer:

x = 3.4

Step-by-step explanation:

given,                                  

mean = 3.7 inches                      

standard deviation =  0.5                  

we want find the value of Q₁ = ?                              

the value of x such that, P(X < x)= 0.25                                

= > P(\dfrac{X - \mu }{\sigma } < \dfrac{X - 3.7 }{0.5})=0.25

= > P(Z                      

=> \dfrac{x - 3.7}{0.5}= Z_{0.25}                

=> \dfrac{x - 3.7}{0.5}= -0.67                        

=> x = -0.67 x 0.5 + 3.7                

=> x = 3.365                      

=> x = 3.4

You might be interested in
Translate please <br><br> The quotient of a number and the sum of the number and 5 is -2
julia-pushkina [17]
X/X+5=-2
please mark brainiest if this helped you out<span />
6 0
4 years ago
What is 1/100 of 605 feet
slamgirl [31]
1/100 of 605 is 6.05 because you divide 605 by 100
7 0
3 years ago
A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much
AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0
3 years ago
Use pi=3<br> Calculate the area of a circle with a diameter of 10cm
GalinKa [24]
Area of a circle is 75 cm².

Area of a circle is computed by multiplying pi to the square of the radius.

A = πr²

diameter = 10 cm
radius = d/2 = 10/2 = 5 cm
pi = 3

A = 3(5cm²)
A = 3(25cm²)
A = 75 cm²
7 0
3 years ago
Solve for x,<br> m-3x=2x+p
just olya [345]
<span>m-3x=2x+p
m-x=p (- 2x on both sides)
-x=p-m (- m on both sides)
answer: x=-p+m (divide -1 on both side)

</span>
5 0
3 years ago
Other questions:
  • Joe dokes bought a new tv which was marked at $880. He gets the tv for a lower price because the score has marked everything dow
    8·1 answer
  • What is the value of x? (2x-2) (3x-52)
    9·1 answer
  • What is 96 divided by 4977 long divided
    6·2 answers
  • Is this a difference of squares? x2−30
    10·1 answer
  • Find the nth derivative of (sin x)^3
    13·1 answer
  • What percent of 803 is 1
    6·1 answer
  • The weight limit for a piece of luggage is 50 pounds. How many kilograms is this?
    7·1 answer
  • B. Mills works as a construction worker. He makes a salary of 54,200 a year. After
    7·1 answer
  • Urgent!! What is the solution for the system of equations? Y=1/3x+2 <br> -x+3y=6
    10·1 answer
  • Nikko scored 90, 98, 87, 85 and 95 on his seatwork. What is his average score?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!