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Softa [21]
2 years ago
10

HELP MEEEEE It's due tomorrow and I want a good grade! Will give 15 pts

Mathematics
1 answer:
alexandr402 [8]2 years ago
7 0

Answer:

60 degrees, since its an acute angle.

Step-by-step explanation: Maybe brainliest?

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The difference between two numbers is 25. The smaller number us 1/6th of the larger number. What is the value of the smaller num
Nataliya [291]

Answer:

5

Step-by-step explanation:

Let L be the larger number and s be the smaller one.

Then we have two equations.

(1) L – s = 25

(2)       s = L/6     Multiply both sides by 6

        6s = L         Substitute the value for L in Equation(1)

 6s – s = 25        Combine like terms

       5s = 25        Divide both sides by 5

         s = 5

The value of the smaller number is 5.

7 0
3 years ago
A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The profes
balandron [24]

Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>  n = [\frac{2.58  *  2.539  }{4.266} ] ^2

=>  n = 2

6 0
3 years ago
Help please I don’t get it
AlexFokin [52]

Answer:

3/8

Step-by-step explanation:

Rearrange, find common denominator.

x =  \frac{7}{8}  -  \frac{1}{2}  \\ x =  \frac{7}{8}  -  \frac{4}{8}  \\ x =  \frac{3}{8}

8 0
2 years ago
Read 2 more answers
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). O
Neko [114]

Answer:

a)q(p)=-15p+ +300

b)R(p)=-15p²+300p

c)C(p)=-30p+1600

d.1)P(p)=-15p²+330p-1600

d.2)p=$11

Step-by-step explanation:

(a).Before getting started, we are going to consider  the cartesian plane, where x-axis corresponds to the cover charge and y-axis corresponds to number of guests per night . There, we will locate the following coordinates according to the previous information:

(9,165)  (10,150).

Remember that  the slope-intercept form of the  linear equation is y=mx+b where m is the slope and b  is te intercept.

The slope can be calculated  by the next formula:

m=\frac{y2-y1}{x2-x1}

In this case we will assign  (9,165) as the first coordinate and (10,150) as the second one. The order does not matter. At the end we get the same value for m.

Therefore:

m=\frac{150-165}{10-9} = -15

Now, we have the slope and two poitns. According to this, and taking into account that  point-slope form of the equation of a line is y-y1=m(x-x1),   find a linear demand equation.

Any of two coordintates can be selected. In this case we will select the second one.

y-150=-15(x-10)   equation 1

Solve equation 1 for y

y=-15x+150+150

y=-15x+300

Above we had defined x as cover charge (p) and y as number of guests (q). Thus, rewrite equation 1.

q(p)=-15p+ +300.  

it equation shows the number of guests per night as a function of the cover charge,

(b). The nightly revenue can be calculated multplying the price of the cover charge by  the number of guests. So, we just have to multiply the equation 1 by p.

p*q(p)=p*(-15p +300)

R(p)=-15p²+300p   equation 2

(c) To get the cost function of the nightclub  we just have to multiply the cost of the two non-alcoholic drinks   by the number of the guests ( equation 1) and add to it  nightly overheads.

C(p)=2*(-15p+300)+1000

C(p)= -30p+600+1000

C(p)=-30p+1600  equation 3

(d) In order to find the profit in terms of the cover charge we will  subtract nightly costs ( equation 3) from nightly revenue (equation 2)

P(p)=R(p)-C(p)

P(p)=-15p²+300p - (-30p+1600)

P(p)=-15p²+300p+30p-1600

P(p)=-15p²+330p-1600

To determine that  the entrance fee we should charge for a maximum profit we are going to use the first derivative test (y'(x)=0) in order to find an extremum point.

Compute the first derivative of P(p)

P'(p)=-30p+330=0

30p=330

p=330/30

p= $11

The entrance fee that we should charge for a maximum profit is p=$11 per guest.

5 0
3 years ago
The current balance of Amber’s bank account was $8. She withdrew
8_murik_8 [283]

Answer:

$-6

Step-by-step explanation:

$(8-14)

= $-6

Hope this helped!

4 0
3 years ago
Read 2 more answers
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