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
Alex73 [517]
3 years ago
7

Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY. a. The number of ways

you can arrange all of the letters in the word is __. b. The number of ways you can arrange two is the letters in the word is __.
Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

a) 6 ways

b) 6 ways

Step-by-step explanation:

a) for all of the letters

for the first letter, we have 3 options

for the second, we have 2 options

for the third, we have 1 option

So the number of options will be;

3 * 2 * 1 = 6

b) for the first, we have 3 options, for the second, we have 2 options

so the number of options will be 3 * 2 = 6 options

You might be interested in
QUESTION 3 The probability that it will rain on a given day is 63%. A child has a 12% chance of falling in dry weather and is th
attashe74 [19]

Answer + Step-by-step explanation:

<u>the probability that a child will not fall on any given day</u> :

= (63 × 64 + 27 × 88) ÷ 100

= 64.08 %

<u>the probability that a child will fall in dry weather</u> :

= (27 × 12) ÷ 100

= 3.24 %

3 0
1 year ago
A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
3 years ago
Solve the following equation for h.<br> r+3Q/h=t
Arada [10]

Answer:

             \bold{h=\dfrac{3Q}{t-r}}

Step-by-step explanation:

\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}

Or, if you mean (r+3Q)/h=t:

\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}

4 0
3 years ago
Which expression is equivalent to the expression -3 (4r - 2) -2r?
liubo4ka [24]

Answer:

-14r + 6

Step-by-step explanation:

-12r + 6 - 2r

3 0
3 years ago
20 POINTS AND BRAINLIEST PLZ HELP
mojhsa [17]

Answer:

4

Step-by-step explanation:

Recall that for a function f(x) and for a constant k

f(x+k) represents a horizontal translation for the function f(x) by k units in the negative-x direction.

Hence f(x+k) is simply the graph of f(x) that has been moved left (negative x direction) by k units.

From the graph, we can see that g(x) = f(x+k) is simply the graph of f(x) that has been moved 4 units in the negative x-direction.

hence K is simply 4 units.

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do I graph 2 equations to find point of intersect the numbers are y=3/2x+7 and y=2x
    13·1 answer
  • Teresa is 25 years old, and she makes $30,000 per year. If Teresa were to die,
    14·1 answer
  • Help please me with this ....
    11·1 answer
  • Can someone please help me , I really need it
    15·1 answer
  • Plz help i need this quick giveing brainlist
    6·2 answers
  • Which expression is equivalent to 3b - 1?
    5·2 answers
  • PLEASEE HELP! I WILL MARK BRAINLIEST!
    10·1 answer
  • PLEASE HELPPP!!!! urgent
    8·2 answers
  • Find the slope of the altitude on each side of triangle ABC (a) A(1,0), B(-3, 4),C(-1,-3)<br>​
    12·1 answer
  • Question if u ask a question will it take your points away
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!