Mathematics College

explain square roots

Answers

Answer 1
In mathematics, a square root of a number x is a number y such that y2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.
Answer 2

Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)

Related Questions

Use Bayes' theorem to find the indicated probability 5.8% of a population is infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
a. 0.905
b. 0.585
c. 0.038
d. 0.475

Answers

Answer:

b. 0.585

Step-by-step explanation:

According to Bayes' theorem:

[tex]P(A|B)=\frac{P(B|A)*P(A)}{P(B)}[/tex]

Let A = Person is infected, and B = Person tested positive. Then:

P(B|A) = 93.9%

P(A) = 5.8%

P(B) = P(infected and positive) + P(not infected and positive)

[tex]P(B) = 0.058*0.939+(1-0.058)*0.041\\P(B)=0.09308[/tex]

Therefore, the probability that a person has the disease given that the test result is positive, P(A|B), is:

[tex]P(A|B)=\frac{0.939*0.058}{0.09308}\\P(A|B)=0.585[/tex]

The probability is 0.585.

Solve the equation for X. 2(2x-4)=3(x+4) A -4 B 4 C 20 D 6

Answers

Answer:

X=20

Step-by-step explanation:

The answer is C

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram

Answers

Answer:

after 6 half lives: 210(1/2)^6= 3.28125

Step-by-step explanation:

isotope to be reduced to half its initial mass at first:

210(1/2)=105 half it is original weight

after second life: 210(1/2)^2=105(1/2)=52.5

after third : 210(1/2)^3=52.5/2=26.25

after fourth : 26.25/2=12.125

after fifth : 13.125/2

after 6 half lives: 210(1/2)^6= 3.28125

Other Questions
You are a graduate student in the lab of a famous fly geneticist. You need to analyze a batch of mutant flies that were recently created in her laboratory to identify the single gene that is most likely mutated in each of the flies. Drag the mutations on the left to the appropriate blanks on the right to complete the sentences.a. knirps (a gap gene) b. hunchback (a gap gene) c. hedgehog (a segment-polarity gene) d. wingless (a segment-polarity gene) e. kruppel (a gap gene) f. even-skipped (a pair-rule gene) 1. Mutant fly F has predominantly lost abdominal structures, which is likely the result of a mutation in_____. 2. The wings are missing in mutant fly L, which is likely the result of a mutation in______. 3. Thoracic and abdominal structures are missing in mutant fly Q. The gene most likely responsible for this mutation is______. 4. Segment-sized sections of every other segment are missing in mutant fly Z. One likely candidate gene is_______. 5. Mutant fly X has lost the head and thorax. The gene most likely responsible for this mutation is_______. 6. The mutation observed in mutant fly O resulted in defects within the anterior or posterior regions of each segment. The gene that most likely caused this mutation is_______. The Walthers Company has a semi-annual coupon bond outstanding. An increase in the market rate of interest will have which one of the following effects on this bond?a. increase the coupon rate.b. decrease the coupon rate.c. increase the market price.d. decrease the market price.e. increase the time period. The nursing instructor is conducting a teaching session on Lawrence Kohlberg's theory of moral development. The nursing instructor describes stage 4 as the child having more concern with society as a whole. which stage is being described?a) Law and order orientationb) Instrumental relativist orientationc) Universal erhical principles orientation d) Social contract and legalisric orientation DIP LLC reports ordinary income (before guaranteed payments) of $120,000, rent expense of $40,000, and interest income of $4,000 for the year. In addition, DIP paid guaranteed payments to partner Percy of $20,000. If Percy owns a 40% capital and profits interest, how much income will he report for the year and what is its character? BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly! What is the purpose of academic writing A hotel salesperson enters sales in a text file. Each line contains the following, separated by semicolons: The name of the client, the service sold (such as Dinner, Conference, Lodging, and so on), the amount of the sale, and the date of that event. Write a program that reads such a file and displays the total amount for each service category. Display an error if the file does not exist or the format is incorrect. Choose the equivalent system of linear equations that will produce the same solution as the one given below 4x-y=-11 2x+3y=5 hellpp plzzzzz....... Verify Identities: seca=1/1-sina Find 83 1 3 % of 384 please help I really need it Read the passage from Part of the Stew. On the morning of January 8, 1815, the Redcoats made their attack. Mama and I woke up to the sound of it. It was like thunder that rolled on and on, and we held hands as we thought of Pa and our friends. Then, suddenly, everything was silent. It felt like forever as we waited for news. Finally, word came around that the British had raised the white flag of surrender. The use of first-person point of view helps engage readers by allowing them to experience how the narrator feels about the battle. the narrators pa feels about the battle. the narrators friend feels about the battle. the narrators mama feels about the battle. The cease-fire that ended the Vietnam War resulted in Please answer in two minutes The magnetic force per meter on a wire is measured to be only 45 %% of its maximum possible value. Calculate the angle between the wire and the magnetic field. Zarina Corp. signed a new installment note on January 1, 2018, and deposited the proceeds of $15,000 in its bank account. The note has a two-year term, compounds 4 percent interest annually, and requires an annual installment payment on December 31. Zarina Corp.Required: 1. Use an online application, such as the loan calculator with annual payments at mycalculators.com, to generate an amortization schedule. Enter that information into an amortization schedule with the following headings: Year, Beginning Notes Payable, Interest Expense, Repaid Principal on Notes Payable, and Ending Notes Payable. 2. Prepare the journal entry on January 1, 2018, the adjusting journal entry to accrue interest on March 31, 2018. Assuming the journal entry from requirement 3 also is recorded on June 30, September 30, and December 31, 2018, prepare the journal entry to record the first annual installment payment on December 31, 2018. 3. Calculate the amount of interest expense that should be accrued for the quarter ended March 31, 2019. Solve the equation for X. 2(2x-4)=3(x+4) A -4 B 4 C 20 D 6 The 2-Mg truck is traveling at 15 m/s when the brakes on all its wheels are applied, causing it to skid for 10 m before coming to rest. The total mass of the boat and trailer is 1 Mg. Determine the constant horizontal force developed in the coupling C, and the friction force developed between the tires of the truck and the road during this time. What are some changes that can occur in ecosystems? A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tallHow many gallons of water are needed to fill the waterbed?Assume i gallon is 013 cu ft. Round to the nearest whole galon