answer.
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
Nastasia [14]
2 years ago
15

Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of

the amounts spent follows a normal distribution with a standard deviation of $45 per year. We select a random sample of 40 women. The mean amount spent for those sampled is $335.
Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0

Answer:

P ( x_bar > 335 ) = 0.9826

Step-by-step explanation:

Given:

- Mean amount u = 350

- standard deviation s.d = 45/year

- Sample size n = 40

Find:

- The probability of sample mean P( x_bar > 335 )

Solution:

- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)

                             = P ( Z > sqrt(40)*(335-350)/45)

                             = P ( Z > -2.111) = P ( Z < 2.111)

                             =  0.5 + P( 0 < Z < 2.111)

                              = 0.5 + 0.4826

                             = 0.9826

You might be interested in
last night, julie's pet hamster zoe kept julie awake for at least an hour running on her exercise wheel and scratching at the co
borishaifa [10]

Answer: x+y\geq 1, x>\frac{1}{4} ,  x\geq 2y and y\geq 0

Step-by-step explanation:

Here,  x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.

Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.

⇒ x+y\geq 1

She ran on her wheel at least twice as long as she scratched at the corners of her cage.

⇒ x\geq 2y

Also, She spent more than 1/4 hour running on her wheel.

⇒ x>\frac{1}{4}

And, we know that number of hours can not be negative.

⇒  y\geq 0

Therefore, the complete system of inequality which shows the given situation is,

x+y\geq 1, x>\frac{1}{4} and x\geq 2y, y\geq 0

Note: the feasible region ( covered by the given system) is shown in the below graph.


6 0
2 years ago
The average of Johnny’s two tests is a 92. What must he get on a 3rd test to raise his average to a 94?
zheka24 [161]
Reread, take time, and concentrate
5 0
2 years ago
Read 2 more answers
If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute
alex41 [277]

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

=P(Z>-0.8333)\\=0.7977

(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

=P(Z

(d) P(X < 20),

=P(Z

(e) P(X > 16).

=P(Z>-0.6667)

= 0.2524

6 0
2 years ago
OMG PLEASE HELP ME ASAP!!!!!!! A local charity sponsors a 5K race to raise money. It receives $55 per race entry and $10,000 in
Dominik [7]
Start with how much profit they are making off each race entry. People pay $55 to race, but $15 of that is expenses so they are only profiting $40 for each entry. Now write one side of the equality. They start with $10,000 in donations, and then have a $40 profit for each race entry. So 10,000+40x. X will represent the unknown number of race entries. What do we want that expression to be equal to? We want 10000+40x>55000. It can also be greater than or equal to, not just greater than. Solve for x. Subtract 10000 from each side resulting in 40x>45000. Divide each side by 40 to solve for x. X>1125. X needs to bbe greater than or equal to 1125. If there are 1125 race entries, the charity will profit exactly $55000, so the lowest number of race entries is 1125
3 0
2 years ago
Bob neff, owner of an automotive dealership, pays one of his salesmen, mike, a $1,300 draw per week plus 6% on all commission sa
Sedaia [141]

Draw per week = $1,300

Draw for four weeks = 1300 x 4 = $5,200

Four week sales amount = $186,900

6% commission on sales = 0.06 x 186,900 = $11,214

<span>Thus the amount equal to mike’s commission minus the draw = 11,214 – 5,200 = $6,014</span>

4 0
2 years ago
Other questions:
  • Nick is 30 years less than 3 times Rays age. If the sum of their ages is 74,how old are each of the men? Solve and write an equa
    6·1 answer
  • Please help. Find the length of the side labeled x. Round intermediate values ​​to the nearest thousandth. Use the rounded value
    9·2 answers
  • The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If
    15·2 answers
  • How can ABC be mapped XYZ? <br> first pull down is either vertex X, vertex Y, or vertex Z?
    8·2 answers
  • Which input value produces the same output value for the two functions on the graph? f(x) equals negative StartFraction 2 Over 3
    6·2 answers
  • A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported
    13·1 answer
  • A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
    9·1 answer
  • A random sample of 250 students at a university finds that these students take a mean of 15.2 credit hours per quarter with a st
    13·1 answer
  • A taste test asks people from Texas and California which pasta they prefer,
    15·1 answer
  • Velvet fabric costs $11.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!