Justine already owns 90 hair bands, and additional hair bands are priced at 5 for a dollar. With $124 to spend on new hair bands, how many total hair bands can Justine own? Write and solve an equation to find the answer.

Answers

Answer 1
Answer:

Answer:

710 hairbands

Step-by-step explanation:

Total hairbands = (5*dollars spent) + 90

Max hairbands = (5 * 124) + 90


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A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample was 12.2 MPH and the standard deviation of the sample was 2.4. What is the 95% confidence interval for the true mean speed of thunderstorms?

Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

Answers

Answer:

  1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

  (overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

According to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered. (In contrast, only 2% of bikes stolen in New York City are recovered.) Find the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered. Find the nearest answer.

Answers

Answer:

0.31104

Step-by-step explanation:

Given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

If X represents the number of bicyles stolen in Sydney, X is binomial

because each cycle to be stolen is independent of the other.

Also there are two outcomes

n = 6, p = 0.40

Required probability = the probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered

==P(X=2)

=6C2 (0.4)^2 (0.6)^4\n= 15(0.16)(0.6)^4\n=0.31104

Answer:

Probability that exactly 2 out of 6 bikes are recovered is 0.31.

Step-by-step explanation:

We are given that according to the Sydney Morning Herald, 40% of bicycles stolen in Holland are recovered.

Also, there is a sample of 6 randomly selected cases of bicycles stolen in Holland.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^(r) (1-p)^(n-r) ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 6 cases of bicycles

            r = number of success = exactly 2

           p = probability of success which in our question is % of bicycles

                 stolen in Holland that are being recovered, i.e; 40%

LET X = Number of bikes recovered

So, it means X ~ Binom(n=6, p=0.40)

Now, Probability that exactly 2 out of 6 bikes are recovered is given by = P(X = 2)

   P(X = 2) = \binom{6}{2}0.40^(2) (1-0.40)^(6-2)

                 = 15 * 0.40^(2) * 0.60^(4)

                 = 0.31

Therefore, Probability that, in a sample of 6 randomly selected cases of bicycles stolen in Holland, exactly 2 out of 6 bikes are recovered is 0.31.

A = 1 −7 −1 2 , B = 3 7 −1 0 , C = 1 0 −1 1 Find: a) BC, b) 5A − 2C, c) A + C,

Answers

Answer:

b

Step-by-step explanation:

Help!! Is anyone good at algebra??

Answers

Answer:

h = 20 m

Step-by-step explanation:

So you know volume of a cylinder = π*(r^2) * h

and you also know volume of this cylinder = 180π

(volume is also in meters^3)

you can set these volumes equal to one another

180π = π*(r^2) * h

by dividing by π you get this:

180 = (r^2) * h

you need h so you can divide by r^2 to get this

h = 180 / (r^2)

now you just need to plug in the radius you are given which was 3 meters

h = 180 m^3 / (3 m^2)

h = 180 m^ 3 / 9 m^2

h = 20 m

Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hourswhat is the airplanes unit rate of speed in miles per hour?

at this rate of speed, how many miles the airplane travel in 1 1/2 hours?

Answers

Answer: A=450

Step-by-step explanation:

A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules

Answers

Answer:

C. 303,000 Joules

Step-by-step explanation:

1. use abcos(theta)

a=50

b=7000

theta=30 degrees

2. (50)(7000)cos(30)=303,000

Answer:

C: 303,000 Joules

Step-by-step explanation:

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