f(2) =


...................

Answer: 0.701

Step-by-step explanation:

Formula :  [tex]EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\alpha=[/tex] significance level , [tex]\sigma =[/tex] Population standard deviation, n= sample size.

As per given,  n= 22

[tex]\sigma = 2[/tex]

Critical z- value for 90% confidence level : [tex]z_{\alpha/2}=1.645[/tex]

Then,

 [tex]EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701[/tex]

Hence ,  error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701

Answer:

[tex]P(X_s^c|X_F) =0.2[/tex]

[tex]P(X_s^c|X_F) =0.31[/tex]

[tex]P(X_s^c|X_F) =0.331[/tex]

Step-by-step explanation:

From the given information:

Let represent [tex]X_F[/tex] as the first player getting an ace

Let [tex]X_S[/tex] to be the second player getting an ace and

[tex]\sim X_S[/tex] as the second player not getting an ace.

So;

The probabiility of the second player not getting an ace  and the first player getting an ace can be computed as;

[tex]P(\sim X_S| X_F) = 1 - P(X_S|X_F)[/tex]

[tex]P(X_S|X_F) = \dfrac{P(X_SX_F)}{P(X_F)}[/tex]

Let's determine the probability of getting an ace in the first player

i.e

[tex]P(X_F) = 1 - P(X_F^c)[/tex]

[tex]= 1 -\dfrac{(^{2n-2}_n)}{(^{2n}_n)}}[/tex]

[tex]= 1 - \dfrac{n-1}{2(2n-1)}[/tex]

[tex]= \dfrac{3n-1}{4n-2} --- (1)[/tex]

To determine the probability of the second player getting an ace and the first player getting an ace.

[tex]P(X_sX_F) = \text{ (distribute aces to both ) and (select the left over n-1 cards from 2n-2 cards}[/tex][tex]P(X_sX_F) = \dfrac{2(^{2n-2}C_{n-1})}{^{2n}C_n}[/tex]

[tex]P(X_sX_F) = \dfrac{n}{2n -1}---(2)[/tex]

[tex]P(X_s|X_F) = \dfrac{2}{1}[/tex]

[tex]P(X_s|X_F) = \dfrac{2n}{3n -1}[/tex]

Thus, the conditional probability that the second player has no aces, provided that the first player declares affirmative is:

[tex]P(X_s^c|X_F) = 1- \dfrac{2n}{3n -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{n-1}{3n -1}[/tex]

Therefore;

for n= 2

[tex]P(X_s^c|X_F) = \dfrac{2-1}{3(2) -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{1}{6 -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{1}{5}[/tex]

[tex]P(X_s^c|X_F) =0.2[/tex]

for n= 10

[tex]P(X_s^c|X_F) = \dfrac{10-1}{3(10) -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{9}{30 -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{9}{29}[/tex]

[tex]P(X_s^c|X_F) =0.31[/tex]

for n = 100

[tex]P(X_s^c|X_F) = \dfrac{100-1}{3(100) -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{99}{300 -1}[/tex]

[tex]P(X_s^c|X_F) = \dfrac{99}{299}[/tex]

[tex]P(X_s^c|X_F) =0.331[/tex]

Answer:

B. 2/5

Step-by-step explanation:

g(x)=x-2/x+1

g(4)=4-2/4+1

g(4)=2/5

Hey there!

ANSWER: [tex]\frac{9}{10}[/tex]

EXPLANATION:

[tex]3/8[/tex] ÷ [tex]5/12[/tex]

Make the numerator 12 and denominator 5.

[tex](\frac{3}{8})(\frac{12}{5})[/tex]

Now put both numerators together and the denominators together.

[tex]\frac{(3)(12)}{(8)(5)}[/tex]

Now multiply numerator by numerator and denominator by denominator.

Numerator:

[tex]3*12=36[/tex]

Denominator:

[tex]8*5=40[/tex]

[tex]\frac{36}{40}=\frac{9}{10}(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

the answer  is 9/10

Answer:

Q1.

Perimeter = 2(Length + Width)

Perimeter = [tex]2((2x-7)+(x^2-5))[/tex]

[tex]2\left(2x-7\right)+2\left(x^2-5\right)[/tex]

[tex]4x-14+2x^2-10[/tex]

[tex]2x^2+4x-24[/tex]

Q2.

[tex](-9x^2+3x-10)-(-15x^2-5x+11)[/tex]

[tex]-9x^2+3x-10+15x^2+5x-11[/tex]

[tex]6x^2+8x-21[/tex]

Answer:

512(cm)3

Step-by-step explanation:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -2/3*x+9=(4/3*x-3)=?

Step by step solution :

STEP

1

:

           4

Simplify   —

           3

Equation at the end of step

1

:

      2          4

 ((0-(—•x))+9)-((—•x)-3)  = 0  

      3          3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        3     3 • 3

   3 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x - (3 • 3)     4x - 9

————————————  =  ——————

     3             3    

Equation at the end of step

2

:

         2                (4x - 9)

 ((0 -  (— • x)) +  9) -  ————————  = 0  

         3                   3    

STEP

3

:

           2

Simplify   —

           3

Equation at the end of step

3

:

         2                (4x - 9)

 ((0 -  (— • x)) +  9) -  ————————  = 0  

         3                   3    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        9     9 • 3

   9 =  —  =  —————

        1       3  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

-2x + 9 • 3     27 - 2x

———————————  =  ———————

     3             3    

Equation at the end of step

4

:

 (27 - 2x)    (4x - 9)

 ————————— -  ————————  = 0  

     3           3    

STEP

5

:

Adding fractions which have a common denominator

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(27-2x) - ((4x-9))     36 - 6x

——————————————————  =  ———————

        3                 3    

STEP

6

:

Pulling out like terms

6.1     Pull out like factors :

  36 - 6x  =   -6 • (x - 6)  

Equation at the end of step

6

:

 -6 • (x - 6)

 ————————————  = 0  

      3      

STEP

7

:

When a fraction equals zero

7.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, then multiplies both sides of the equation by the denominator.

Here's how:

 -6•(x-6)

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -6  •  (x-6)  = 0

Equations which are never true:

7.2      Solve :    -6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

7.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

One solution was found :

x = 6

Answer:

x=6

Step-by-step explanation:

Answer:

d= 4t

Step-by-step explanation:

to find distance, the equation is speed multiplied by time and in this question we are given the time and distance so we have to divide 9km by 2.25hrs to find the speed: 9÷2.25= 4 so, the equation would be d=4t which means that to find distance we need to multiply 4 by the time.

Answer:

domain: (-∞, ∞) range: [8, ∞)

hope this helps! ;)

Step-by-step explanation:

Answer:

-9.4 degree Celsius

Step-by-step explanation:

By using the formula = 15F - 32 × 5/9

= -9.4 degree Celsius

Answer: C

Step-by-step explanation:

For this problem, we need to translate each point by 4 units left and 3 units down.

Point A

When we move 4 units to the left, x=1. When we move 3 units down, we get y=-2. Therefore, A' is (1,-2).

----------------------------------------------------------------------------------------------------------------

Point B

When we move 4 units to the left, x=3. When we move 3 units down, we get y=2. Therefore, B' is (3,2).

----------------------------------------------------------------------------------------------------------------

Point C

When we move 4 units to the left, x=0. When we move 3 units down, we get y=2. Therefore, C' is (0,2).

----------------------------------------------------------------------------------------------------------------

Point D

When we move 4 units to the left, x=-2. When we move 3 units down, we get y=0. Therefore, D' is (-2,0).

----------------------------------------------------------------------------------------------------------------

After translating each point, we know that C is the correct answer.

Answer:

b + 5

Step-by-step explanation:

If there are 5 more girls and b represents boys, then adding 5 to b (boys) gives you the number of girls. Hope this helps!

Answer:

The second one

Step-by-step explanation: 27-5=22 then u divide 22 divided by 2 and you get 11 then you add five girls to the 11 and you get 16 so there's 11 boys and 16 girls at the party which makes the equation 11+5=16 so the answer is number b (the second one).

Answer:

prime

Step-by-step explanation:

The variable is the letter like x or y. The coefficient is the number next to the variable like the 2 in 2x or if its just x it would be 1. The constant is the number by itself usually at the end.

Example 2x+5

Variable is x constant is 5 and coefficient is 2. Sorry i didn't answer the actual question and just told you how to find it but those expressions don't have any of these things.

Answer:

-1 and 1/3

Step-by-step explanation:

I replaced each variable with 1. Other than that I just guessed and got it right lol

Answer:

isnt 9?

Step-by-step explanation:

i asked google lololol

Answer:

9.

Step-by-step explanation:

Factors of 27: 1, 3, 9, 27

Factors of 45: 1, 3, 5, 9, 15, 45.

The GCF (Greatest Common Factor) of 27 and 45 is NOT 1, 3, or 27 because 27 is not a factor of 45, and since we are trying to figure out the GREATEST common factor, one and three do not work either. If you need more help, feel free to ask! I am on Brainly from 1 - 2 pm. EST, so if you have any further questions about this subject or my answer, feel free to ask me!

x = a number

7 + 2x = 21

Subtract 7 from both sides

2x = 14

Divide both sides by 2

x = 7

7 is the only number that makes this sentence true.

Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps!!!

Answer:

it is d

Step-by-step explanation: make me brainliest

Answer:

4 units left

explanation: the [x-4] part in the equation is the only part with a know value and with a negative x we know it will be going to left of the 0 on the number line

Answer:

x<_2

Step-by-step explanation:

first off solve this like a regular equation the >_ dosent matter till later

so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)

so its 5x-13+x>_9x-7

add 5x and x to get 6x-13 on one side

then you get 6x-13>_9x-7 then subtract -9x from both sides

so its now -3x-13>_-7 add 13 so you get -3x>_6

then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2

that your final answer hope this helps :)

Answer:

12,10,2

Step-by-step explanation:

Answer:

x > −4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+24>12

Step 2: Subtract 24 from both sides.

3x+24−24>12−24

3x>−12

Step 3: Divide both sides by 3.

3x/3 > −12/3

x>−4

Answer:

x>−4

Hope this helps

Answer:

y=9x

It's 9x because for every hour he earns 9 dollars.

Answer:

45

Step-by-step explanation:

Answer:

45 square units

Step-by-step explanation:

Answer:

Y=-5

X=6

Step-by-step explanation:

set x =0 then solve then set y=o and solve

Answer:

5x - 6y = 30

6y = 5x - 30

Y = 5/6x - 5

y intercept = -5

Therefore (0, -5)

0 = 5/6x - 5

5/6x = 5

x = 6

x intercept = 6

therefore (6,0)

answer : The x-intercept is (6, 0), the y-intercept is (0, –5).

x intercept =

Answer: yes the answer is $6.49!!

Step-by-step explanation:

all you have to do is multiply the money amounts by the item count, add both answers, and you get the sum!! Noice Job!!

Answer:

30 ft

Step-by-step explanation:

10 yards x 3 ft per yard= 10x3=30 ft

Answer:

[tex] V = \frac{10}{3} \pi r^2h [/tex]

Step-by-step explanation:

The cone has the following given dimensions:

Radius = r

Height = h

Volume of a cone = ⅓πr²h

The Cylinder has:

Radius = r

Height = 3h

Volume of the cylinder = πr²h = πr²*3h = 3πr²h

Volume of the cement post = volume of Cone + volume of Cylinder

Equation to find total volume of cement post:

V = ⅓πr²h + 3πr²h

[tex] V = \frac{\pi r^2h}{3} + \frac{3 \pi r^2h}{1} [/tex]

[tex] V = \frac{1(\pi r^2h) + 3(3 \pi r^2h)}{3} [/tex]

[tex] V = \frac{\pi r^2h + 9 \pi r^2h}{3} [/tex]

[tex] V = \frac{10 \pi r^2h}{3} [/tex]

[tex] V = \frac{10}{3} \pi r^2h [/tex]

Answer:

- 73.35

Step-by-step explanation:

-73.35 = -9(8.15)

Hopefully this helps you :)

pls give me brainlest ;)

Answer:

x = 25

∠A = 125

Step-by-step explanation:

∠A = ∠B

where

∠A = 6x + 5°

∠B = 4x + 45°

6x + 5° = 4x + 45°  

6x - 4x = 45 - 5

2x = 40

x = 40/2

x = 20

plugin x into  ∠A = 6x - 5°  

∠A = 6x + 5°

∠A = 6(20) + 5°

∠A = 125

Answer:

x = 25

A = 145

Step-by-step explanation: