1answer.
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
alexgriva [62]
3 years ago
13

Determine two consecutive odd integers such that the sum of their squares is a minimum.

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

Answer:

5 or -7, the two integers are either 5 and 7 or -7 and -5.

Step-by-step explanation:

You might be interested in
I have two congruent sides. I also have two congruent angles that measure 45 degree each. I am a
Snowcat [4.5K]

45 Degrees on each side means it is equal, for an "equilateral" triangle.


4 0
3 years ago
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it
brilliants [131]

Answer:

(a) 11.25 and 1.68  

(b) 0.1651

(c) 0.3903

(d) 0.6865

Step-by-step explanation:

We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.

This situation can be represented through Binomial distribution as;

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

where,  n = number of trials (samples) taken = 15

             r = number of success

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

                  which customer problems are resolved on the same day, i.e.;75%

So, here X ~ Binom(n=15,p=0.75)

(a) Expected number of problems to be resolved today = E(X)

            E(X) = \mu = n * p = 15 * 0.75 = 11.25

    Standard deviation = \sigma = \sqrt{n*p*(1-p)} = \sqrt{15*0.75*(1-0.75)} = 1.68

(b) Probability that 10 of the problems can be resolved today = P(X = 10)

     P(X = 10) = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}

                    = 3003*0.75^{10} *0.25^{5} = 0.1651

(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)

    = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}+\binom{15}{11}0.75^{11}(1-0.75)^{15-11}

    = 3003*0.75^{10} *0.25^{5} + 1365*0.75^{11} *0.25^{4} = 0.3903

(d) Probability that more than 10 of the problems can be resolved today is

    given by = P(X > 10)

P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)  

= \binom{15}{11}0.75^{11}(1-0.75)^{15-11}+\binom{15}{12}0.75^{12}(1-0.75)^{15-12} + \binom{15}{13}0.75^{13}(1-0.75)^{15-13}+\binom{15}{14}0.75^{14}(1-0.75)^{15-14} + \binom{15}{15}0.75^{15}(1-0.75)^{15-15}

= 1365*0.75^{11} *0.25^{4} + 455*0.75^{12} *0.25^{3}+105*0.75^{13} *0.25^{2} + 15*0.75^{14} *0.25^{1}+1*0.75^{15} *0.25^{0}

= 0.6865

3 0
3 years ago
WILL GIVE BRAINLIEST
Bezzdna [24]

Answer: D. (8, 4)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What value of r makes the equation true? r 0.12 = 0.20 A. r = 0.32 B. r = 0.08 C. r = –0.08 D. r = –0.32
muminat
Depends on your question...

If your question is r + 0.12 = 0.20 then do this:

Subtract 0.12 from both sides

r = 0.08

The answer is B.


If your question is r - 0.12 = 0.20 then do this:

Add 0.12 on both sides

r = 0.32

The answer is A

So it depends on your question :P
8 0
3 years ago
Read 2 more answers
Which of the following percentage is the discount for a textbook ,if the original price is $107,00 and the discount $62?a. 42. b
nordsb [41]

Answer:

Concept: Percentage Change

  1. Original Price: 107
  2. At a discount of: 62
  3. Hence 107-62= 45
  4. Hence B
5 0
2 years ago
Other questions:
  • (16x+14)-(3x^2+-19)​
    12·1 answer
  • If the median of the score distribution on this pop quiz is more than 170, the teacher will drop the next pop quiz. The pop quiz
    12·1 answer
  • 7 divided by 4 long division
    14·1 answer
  • What is the perimeter in units of this rectangle?
    12·1 answer
  • What is the domain and range for following graph
    11·1 answer
  • Please help me answer this :) I will give Brainlst
    10·1 answer
  • Please help me with this
    15·1 answer
  • Each of the 18 students in Mr. Hall's class has
    15·2 answers
  • Can anyone help me answer this?
    14·2 answers
  • Jarell Tarver invested $20,000 in the Boyd Kern Mutual Fund (Type A). The net asset value is $21.34 per share. The fund is front
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!