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
ahrayia [7]
3 years ago
6

If AC = 15 centimeters, and BC = 12 centimeters, which does AB equal

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

The pythagorean theorem says that a² + b² = c²

You're given the b and the c so substitute the values in: a² + 12² = 15²

a² + 144 = 225; subtract 144 from both sides

a² = 81; square root each side

a = 9, or choice C

You might be interested in
To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1010 married
Xelga [282]

Answer:

  • a. See the table below
  • b. See the table below
  • c. 0.548
  • d. 0.576
  • e. 0.534
  • f) i) 0.201, ii) 0.208

Explanation:

First, order the information provided:

Table: "Who is better at getting deals?"

                                       Who Is Better?

Respondent      I Am        My Spouse     We Are Equal

Husband           278             127                     102

Wife                   290            111                       102

<u>a. Develop a joint probability table and use it to answer the following questions. </u>

The<em> joint probability table</em> shows the same information but as proportions. Hence, you must divide each number of the table by the total number of people in the set of responses.

1. Number of responses: 278 + 127 + 102 + 290 + 111 + 102 = 1,010.

2. Calculate each proportion:

  • 278/1,010 = 0.275
  • 127/1,010 = 0.126
  • 102/1,010 = 0.101
  • 290/1,010 = 0.287
  • 111/1,010 = 0.110
  • 102/1,010 = 0.101

3. Construct the table with those numbers:

<em>Joint probability table</em>:

Respondent      I Am        My Spouse     We Are Equal

Husband           0.275           0.126                 0.101

Wife                   0.287           0.110                  0.101

Look what that table means: it tells that the joint probability of being a husband and responding "I am" is 0.275. And so for every cell: every cell shows the joint probability of a particular gender with a particular response.

Hence, that is why that is the joint probability table.

<u>b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.</u>

The marginal probabilities are calculated for each for each row and each column of the table. They are shown at the margins, that is why they are called marginal probabilities.

For the colum "I am" it is: 0.275 + 0.287 = 0.562

Do the same for the other two colums.

For the row "Husband" it is 0.275 + 0.126 + 0.101 = 0.502. Do the same for the row "Wife".

Table<em> Marginal probabilities</em>:

Respondent      I Am        My Spouse     We Are Equal     Total

Husband           0.275           0.126                 0.101             0.502

Wife                   0.287           0.110                  0.101             0.498

Total                 0.562           0.236                0.202             1.000

Note that when you add the marginal probabilities of the each total, either for the colums or for the rows, you get 1. Which is always true for the marginal probabilities.

<u>c. Given that the respondent is a husband, what is the probability that he feels he is better at getting deals than his wife? </u>

For this you use conditional probability.

You want to determine the probability of the response be " I am" given that the respondent is a "Husband".

Using conditional probability:

  • P ( "I am" / "Husband") = P ("I am" ∩ "Husband) / P("Husband")

  • P ("I am" ∩ "Husband) = 0.275 (from the intersection of the column "I am" and the row "Husband)

  • P("Husband") = 0.502 (from the total of the row "Husband")

  • P ("I am" ∩ "Husband) / P("Husband") = 0.275 / 0.502 = 0.548

<u>d. Given that the respondent is a wife, what is the probability that she feels she is better at getting deals than her husband?</u>

You want to determine the probability of the response being "I am" given that the respondent is a "Wife", for which you use again the formula for conditional probability:

  • P ("I am" / "Wife") = P ("I am" ∩ "Wife") / P ("Wife")

  • P ("I am" / "Wife") = 0.287 / 0.498

  • P ("I am" / "Wife") = 0.576

<u>e. Given a response "My spouse," is better at getting deals, what is the probability that the response came from a husband?</u>

You want to determine: P ("Husband" / "My spouse")

Using the formula of conditional probability:

  • P("Husband" / "My spouse") = P("Husband" ∩ "My spouse")/P("My spouse")

  • P("Husband" / "My spouse") = 0.126/0.236

  • P("Husband" / "My spouse") = 0.534

<u>f. Given a response "We are equal" what is the probability that the response came from a husband? What is the probability that the response came from a wife?</u>

<u>What is the probability that the response came from a husband?</u>

  • P("Husband" / "We are equal") = P("Husband" ∩ "We are equal" / P ("We are equal")

  • P("Husband" / "We are equal") = 0.101 / 0.502 = 0.201

<u>What is the probability that the response came from a wife:</u>

  • P("Wife") / "We are equal") = P("Wife" ∩ "We are equal") / P("We are equal")

  • P("Wife") / "We are equal") = 0.101 / 0.498 = 0.208
6 0
3 years ago
Brenna writes a product of six negative factors. She uses
IgorC [24]

Answer: (A) The product of two numbers with the same sign is positive.

Since the numbers in each pair have the same sign, the product will be positive.

3 0
3 years ago
Read 2 more answers
Solve for X. Geometry
kozerog [31]
So since they are similar
AC/BC=CD/CE

so
(66-x)/30=(x+4)/5
times both sides by 5
(66-x)/6=x+4
times both sides by 6
66-x=6(x+4)
distribute
66-x=6x+24
add x to both sides
66=7x+24
minus 24 from both sides
42=7x
divide both sides by 7
6=x
x=6 units
4 0
3 years ago
Newly purchased tires of a particular type are supposed to be filled to a pressure of 30 psi. Let m denote the true average pres
dimulka [17.4K]

Answer:

a) 48.21 %

b) 45.99 %

c) 20.88 %

d) 42.07 %

e) 50 %

Note: these values represent differences between z values and the mean

Step-by-step explanation:

The test to carry out is:

Null hypothesis  H₀    is                           μ₀ = 30  

The alternative hypothesis                      m  ≠ 30

In which we already have the value of z for each case therefore we look  directly the probability in z table and carefully take into account that we had been asked for differences from the mean (0.5)

a)  z = 2.1   correspond to  0.9821  but mean value is ubicated at 0.5 then we subtract    0.9821 - 0.5  and get 0.4821   or 48.21 %

b)  z = -1.75   P(m) = 0.0401     That implies the probability of m being from that point p to the end of the tail, the difference between this point and the mean so 0.5 - 0.0401 = 0.4599 or 45.99 %

c)  z = -.55    P(m) = 0.2912    and this value  for same reason as before is 0.5 - 0.2912 = 0.2088  or 20.88 %

d)  z = 1.41     P(m) = 0.9207    0.9207 -0.5     0.4207  or  42.07 %

e)  z = -5.3   P(m) = 0    meaning there is not such value in z table is too small to compute  and difference to mean value will be 0.5  

d)  z= 1.41      P(m) =

4 0
2 years ago
4. The cosine function can be made to have the same values as the sine function for each angle by including a shifted _______ in
r-ruslan [8.4K]

Answer: Option D

phase

Step-by-step explanation:

By definition, the cosine function has the following form

y = cos (x - \phi)

Where \phi is known as the phase angle

By definition the sinx function is equal to the cosx function with a phase shift of \frac{\pi}{2}

So if we have the function

y = cos (x - \phi) and we want to transform it into the function y=sin(x) then \phi = \frac{\pi}{2}

Finally

y = cos(x - \frac{\pi}{2})=sin(x)

the answer is the option D

6 0
3 years ago
Other questions:
  • Education Is Fun has created a new board game called Math Maze. The company is trying to increase its sales. Its marketing divis
    10·2 answers
  • Use the graph to determine which statement describes f(x)
    5·1 answer
  • The quotient of two and five times a number
    5·1 answer
  • In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.
    14·2 answers
  • Consider this inequality: 8x^2+ 2x – 3 ≥ 0. The quadratic formula gives the x-values that result in the quadratic expression bei
    10·1 answer
  • Evaluate the expression when a=3 .​<br><br> 27÷a =<br><br> Answer:
    11·2 answers
  • Sandra waits tables at Polly's Tamales. While she is working, she receives a discount on any food she buys. If an item normally
    13·1 answer
  • What is the slope of y=-4?
    13·2 answers
  • (9×100)+(8×10)+(7× <br> 1000<br> 1<br> ​<br> )
    7·1 answer
  • What is the length of AC?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!