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
vaieri [72.5K]
3 years ago
14

The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si

gmaσ = 100 hours. What is the probability that a radio selected at random will last from 600 to 700 hours
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =\mu = 600 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

P(X

At x = 700

Z= \frac{700-600}{100}

Z=1

P(X

P(600

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

You might be interested in
on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q
nevsk [136]

Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.

In this problem:

  • In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is \frac{21}{25} = 0.84.
  • In the next n observations, mean of 1.

Hence, the mean is:

M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}

We want the mean to be of 0.9, thus:

M = 0.9

\frac{4.2 + n}{5 + n} = 0.9

4.2 + n = 0.9n + 4.5

0.1n = 0.3

n = \frac{0.3}{0.1}

n = 3

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

6 0
2 years ago
There are 3 boys in each row in Ms. Carlton's class. There are 12 boys in Ms. Carlton’s class. How many rows are in Ms. Carlton’
Digiron [165]
4 Rows :)))))))))))))))))))))))
3 0
3 years ago
Read 2 more answers
Simplify the expression, write in standard and exponential form.
timama [110]

Answer:

(5x {y}^{2} ) ^{7}  =  {5x}^{7 } \times  {x}^{7}   \times  {y}^{14}  =  {5x}^{14}    {y}^{14}

5 0
3 years ago
Read 2 more answers
Solve for x<br> Pls help
Anni [7]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

first we need to find the angle that is above 63 degrees, it will be much easier to know the next one....

= (Supplementary angle) 180 - 63

= 117

Expression = 23x + 2

= 23 x ? + 2

= (Multiplication of 23)

= 23 x 5 + 2

= <u>117</u>

SIMPLE!

Have a look on the pic given below....

HOPE IT HELPS!

MARK ME BRAINLIEST....

FOLLOW ME!!!! :)

6 0
2 years ago
2(x+3) + 6 = 3x - 9 written in word form? HELP!!!
zheka24 [161]
Two multiplied by x plus three plus six is equal to three multiplied by x subtracted by nine
7 0
3 years ago
Other questions:
  • Lines m and n are parallel. What is
    5·2 answers
  • What is the slope of a line that is perpendicular to the line whose equation is 5y+2x=12?
    10·1 answer
  • A seven-digit phone number in the united states consists of a three-digit exchange followed by a four-digit number.
    10·1 answer
  • Two angles in a triangle have measures of 62 degrees and 15 degrees. What is the measure of the third angle.
    15·2 answers
  • How many 12 liters goes into 3 trucks
    15·2 answers
  • In a_____ tax system, the tax rate gets higher as the taxable income gets larger
    14·1 answer
  • Write an equation of the line that passes through a pair of points (5, -2) , (4,5)
    8·1 answer
  • In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the st
    6·1 answer
  • Explain how to use the order of operations to evaluate numeric expressions.
    12·2 answers
  • Help I need some help due tomorrow
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!