1. Determine the number of combinations of the letters of the word EXAMINATION given that
four letters are taken at a time.
(5marks)​

Answers

Answer 1

Answer:

210

Step-by-step explanation:

10 choose 4. 10 letters choose 4. Using the combination formula. C(n,r)


Related Questions

9 ⋅ (-.5) what is the answer

Answers

Answer:

-45

Step-by-step explanation:

9x5=45, and since there is a negative, you put it before 45.

Hope I helped!

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what is one thousandth less than 0.061

Answers

Answer:

one thousandth is greater than 0.061

Step-by-step explanation:

Mr. Williams drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?

Answers

Answer:

275 miles

Step-by-step explanation:

Help me with this please it says how can you isolate the term f/3 in f/3 + 22 = 17

Answers

Answer:

Given:

[tex]\sf {\dfrac {f}{3}}+22=17 [/tex]

To find:-

[tex]\sf {\dfrac {f}{3}}[/tex]

Solution:-First write the equation

[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}+22=17 [/tex]

Now take 22 to the other side by which the "+"sign will turn "-".

[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=17-22 [/tex]

Simplify

[tex]{:}\dashrightarrow[/tex][tex]\sf {\dfrac {f}{3}}=-5 [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf {\dfrac {f}{3}}=(-5)}}}[/tex]

Answer: Subtract 22 from both sides.

Step-by-step explanation:

f/3 +22 = 17

f/3 +22 -22 = 17 -22  Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The +22 and -22= 0 They "cancel"   17-22 = -5

f/3 = -17  f/3 is now isolated-- by itself-- in the equation.

If you had to solve for f, the next step would be to multiply both sides by  3.

Please answer the screenshot I attached below

Answers

Answer:

i think the answer is

[tex] \frac{1}{ {x}^{ \frac{4}{3} }} [/tex]

AB×6=BBB (playing with numbers.)

Answers

Answer:

A = 7

B = 4

Step-by-step explanation:

If u wanna know how i got this answer plz look at the comments below since it will delete my answer U-U

What is the value of square root 30 is between witch two integers
A-4and5
B-5and6
C-6and7
D-7and8

Answers

Answer:

b

Step-by-step explanation:

because

Annalise withdraws $20.50 each day from her account for a week. how can you represent the change in the account for the week

Answers

Answer:

you can get some fries and chickent aint enough for me keep it going people

Step-by-step explanation:

Ms. Swanson asked the question how does knowing the fact 6x5 help you find 60x500? can someone help me my teacher wrote this

Answers

Answer:

YOU DID THAT TEST? samee

Step-by-step explanation:

solve this question step by step​

Answers

Answer:

BE = 49

Step-by-step explanation:

In triangle BDC

  65^2=56^2+BD^2

  65^2-56^2=BD^2

  4225-3136=BD^2

  1089=BD^2

   33=BD

In triangle FDE

    65^2=63^2+DE^2

    4225-3969=DE^2

    256 = DE^2

    16=DE

since ED+DB=BE

THEREFORE

      16+33=BE

         49=BE

Find the value of x.
Find the value of y.
Y
61
X

Answers

Answer:

61=x ( vertical opposite angle)

61=y (corresponding angle)

Step-by-step explanation:

y = 61°( corresponding angles)

x = y = 61°(vertically opposite angles)

A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.​

Answers

Answer:

X = 4 because 20 times 16 is 320 than if you add 4 to the 20 you will get 24. 24 times 16 is 384. BOom thats your answer and i know because i just answered it.

Step-by-step explanation:

A hot air balloon is rising at a speed of 100 m/min. If an observer is standing 200 m from the lift-off point, what is the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high?

Answers

Answer:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

Step-by-step explanation:

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

The rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high is 0.05 rad/min.

Let θ be the angle of elevation of the line of sight from the horizontal. Since the hot air balloon is rising at a speed of 100 m/min, its vertical distance in time, t is d = vt = 100t.

Since the point of the observer is 200 m away( the horizontal distance), then tanθ = vertical rise/horizontal distance = 100t/200 = t/2

tanθ = t/2

To find the rate of change of the angle of elevation, we differentiate with respect to t.

So, dtanθ/dt = d(t/2)/dt

sec²θdθ/dt = 1/2

dθ/dt = 1/(2sec²θ)

At 600 m high, tanθ = vertical rise/horizontal distance = 600 m/200 m = 3

Given that tan²θ + 1 = sec²θ

dθ/dt = 1/(2sec²θ)

dθ/dt = 1/(2[tan²θ + 1])

Since tanθ = 3

dθ/dt = 1/(2[tan²θ + 1])

dθ/dt = 1/(2[3² + 1])

dθ/dt = 1/(2[9 + 1])

dθ/dt = 1/(2[10])

dθ/dt = 1/20

dθ/dt = 0.05 rad/min

So, the rate of change of the angle of elevation of the observer’s line of sight when the balloon is 600 m high is 0.05 rad/min.

Learn more about rate of change of angle of elevation here:

https://brainly.com/question/13932041

What is 3250 divided by 1/2

Answers

Similar to 3250 times 2
Which is equal to 6500

Answer:

6500

Step-by-step explanation:

KCF

3250/1 ÷ 1/2

3250/1 x 2/1

3250 x 2=  6500

1 x 1 = 1

final answer 6500/1 or 6500


At a local baseball game, the concession stand has two different meal choices. You can get 7 hotdogs and 5
drinks for $41.00 or you can get 4 hotdogs and 8 drinks for $44.00. If the price of hotdogs and drinks is the
same for each meal, find how much it costs for an individual hotdog and how much it costs for an individual
drink.
per hotdog:

per drink:

Answers

Answer:

Each hotdog is $3 and each drink is $4.

Step-by-step explanation:

Let h be the number of hotdogs and d the number of drinks,

7h + 5d = 41

4h + 8d = 44

Let's eliminate h.  Multiply the first by 4 and the second by 7.

28h + 20d = 164

28h + 56d = 308

Subtrat the first from the second.

36d = 144

d = 4

Substitute back into one of the equations.

7h + 5(4) = 41

7h + 20 = 41

7h = 21

h = 3

5x-7=5x bud it no solution one solution infinitely many solutions

Answers

Answer:

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Step-by-step explanation:

can i get help here ?

Answers

It will be 10z-30
Because you are collecting like terms with -5z and +5z and it will give you 10z and 30 will be by it’s self because it has nothing to add or subtract with .

Answer please here is a picture:

Answers

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

Write an equation of the line that passes through (-1,3) and is parallel to the line y=2x+2

Answers

Answer:

The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:  y = 2x + 5

(Hope it can help)

Answer:

y=2x+5

Step-by-step explanation:

hope you understood

Miguel is multiplying 58 by 12.

Answers

Answer:

696

Step-by-step explanation:

Here is the step-by-step.

i am less than 10, i am a multiple of 2, i am a composite.

Answers

Answer:

8

Step-by-step explanation:

What postulate proves the two triangles are congruent?

Answers

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

I'm not sure the answer

Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years

Answers

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

Suppose that the economy is experiencing a recession with an estimated recessionary gap of $10 billion. Congress is considering the use of fiscal policy to ease the recession, but due to current political sentiments, it has determined that the maximum spending increase the government is willing to support is $3 billion. It wants to make up the remainder of the recessionary gap using tax cuts.

If a spending increase of $3 billion is approved and the MPC is 0.6, by how much will taxes need to be reduced to close the remainder of the recessionary gap?

Answers

Answer:

4.66 billion

Step-by-step explanation:

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
18 cm
30 cm
24 cm
22 cm

Answers

18 cm is your correct answer

Helpp meee!?!!!!!
?!!?!
!?!

Answers

Answer:

You have to draw we cant draw 4 you sorry i cant help

Step-by-step explanation:

Veronica take 1/3 of an hour to write 1/4 of a page of calligrahpy how long will it take Veronica to write one page

Answers

Answer:

b because it takes 1 hour to complete 3/4 of a page so 3/3 = 1 hour 1 1/3 =1 and a third of an hour

Step-by-step explanation:

Urn 1 contains 4 green and 5 yellow marbles. Urn 2 contains 7 green and 4 yellow marbles. An experiment consists of choosing one of two urns at random then drawing a marble from the chosen urn. Urn 1 is more likely to be chosen than Urn 2 with probability 0.63.

Required:
a. What is the probability that a green marble was chosen?
b. What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
c. What is the probability that Urn 1 was chosen, if it is known that a yellow marble was drawn?

Answers

Answer:

a

[tex]P(N_g) = 0.5155[/tex]

b

 [tex]P(K ) = 0.36364[/tex]

c

[tex]P(U1 | N_y ) = 0.7223[/tex]  

Step-by-step explanation:

From the question we are told that

  The number of green marbles in Urn 1 is  [tex]N_g = 4[/tex]

   The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]

   The number of green marbles in Urn 2 is  [tex]n_g = 7[/tex]

   The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]

    The probability of choosing Urn 1 is  [tex]P(U1) = 0.63[/tex]

    The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]

Generally the total marble in Urn 1 is  

     [tex]N_t = N_g +N_y[/tex]

=>  [tex]N_t = 4 + 5[/tex]

=>  [tex]N_t = 9[/tex]

Generally the total marble in Urn 2 is  

     [tex]n_t = n_g +n_y[/tex]

=>  [tex]n_t = 7+4[/tex]

=>  [tex]n_t = 11[/tex]

Generally the probability of choosing green marble is

     [tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]

=>   [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]

=>   [tex]P(N_g) = 0.5155[/tex]

Generally  the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as

     [tex]P(K ) = \frac{n_y}{n_t}[/tex]

=>   [tex]P(K ) = \frac{4}{11}[/tex]

=>   [tex]P(K ) = 0.36364[/tex]

Generally the probability of choosing yellow marble is

     [tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]

=>   [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]

=>   [tex]P(N_y) = 0.4845[/tex]

Generally  the  probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as

     [tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]

=>   [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]

=>   [tex]P(U1 | N_y ) = 0.7223[/tex]      


A bag contains 5 RED beads, 3 BLUE beads, and 4 GREEN beads. If a single bead is picked at random, what is the probability

Answers

Answer:

total number of beads :-

5+3+4=12

probability is :-

number of times a specific outcome has occurred

total number of possible outcomes

red beads - 5/12

blue beads - 3/12

green beads - 4/12

the above given fractions are the probabilities of each color bead.

Step-by-step explanation:

hope this helps, if yes please can u give me a brainly?

i would really apreciate it...

have a great day ahead :)

Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.

How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.

Enter your answer in the box.

miles

Answers

Answer:

-2 or -5

Step-by-step explanation:

( shown in photo below )

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