At a certain coffee shop, all the customers buy a cup of coffee and some also buy a doughnut. the shop owner believes that the number of cups he sells each day is normally distributed with a mean of 340 cups and a standard deviation of 23 cups. he also believes that the number of doughnuts he sells each day is independent of the coffee sales and is normally distributed with a mean of 120 doughnuts and a standard deviation of 15. complete parts a) through c). the shop is open every day but sunday. assuming day-to-day sales are independent, what? s the probability he? ll sell over 2000 cups of coffee in a week? if he makes a profit of 50 cents on each cup of coffee and 40 cents on each doughnut, can he reasonable expect to have a day? s profit of over $300? explain. what? s the probability that on any given day he? ll sell a doughnut to more than half of his coffee customers?

what graph

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.