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tekilochka [14]
3 years ago
6

Sneha works two part-time jobs. One job is at a tutoring company that pays $19 an hour, and the other is pumping gas for $11.50

an hour. Between the two jobs, Sneha wants to earn at least $310 a week. Let x be the number of hours she works at the tutoring company and let y be the number of hours she works pumping gas. Write an inequality that models this situation.
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

19x + 11.5y \geqslant 310

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There are 267 students and 21 adults going on a field trip an equal number of people will ride on each bus there are 9 buses how
DiKsa [7]

Answer:

The number of people on each bus is 32

Step-by-step explanation:

We are given

Total number of students =267

Total number of adults =21

So,

Total number of passengers = ( Total number of students)+(Total number of adults)

now, we can plug values

Total number of passengers =267+21

Total number of passengers =288

We are given

Number of buses=9

so,

Number of passengers on each bus = (total number of passengers)/( Number of buses)

now, we can plug values

Number of passengers on each bus  is

=\frac{288}{9}

=32

So,

The number of people on each bus is 32


6 0
3 years ago
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.
jolli1 [7]

Answer:

Perimeter =  10x + 8 units.

Area = 6x^2 + 13x - 5 units^2.

Step-by-step explanation:

The perimeter  is 2*length + 2*breadth

= 2(2x + 5) + 2(3x - 1)

= 4x + 10 + 6x - 2

= 10x + 8 units.

The area = length * breadth

= (2x + 5)(3x - 1)

= 6x^2 - 2x + 15x - 5

= 6x^2 + 13x - 5 units^2.


7 0
3 years ago
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneou
notsponge [240]

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

<h3>What are extraneous solutions?</h3>

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

Learn more about equations on:

brainly.com/question/2972832

8 0
2 years ago
What is the area of the trapezoid shown below??
Ganezh [65]

Answer:

48

Step-by-step explanation:

8 0
2 years ago
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