negative x plus 1 is less than 5

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    [tex]$\sigma = \sqrt{np(1-p)}$[/tex]

       [tex]$=\sqrt{8.8452}$[/tex]

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

[tex]$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$[/tex]

[tex]$=P(-0.75 < z < -0.41)$[/tex]

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

[tex]$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$[/tex]

[tex]$=P(0.60 < z < 0.94)$[/tex]

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

Answer:

90 mm^2

Step-by-step explanation:

Divide it in 2 figures

Get the area of the one of 5 * 6 mm = 30mm^2

Then the one of 6 * 10 mm = 60 mm^2

Then just add it up. 90 mm^2

Answer:

ω= 0.01 rad/s

Step-by-step explanation:

The given data is question is ,

Firstly let's find the linear speed. Which is

=> v = Circumference/time

=> v = 2πr/180s

=> v = 3.14 × 100ft ./ 90

=> v = 3.48 ft/s ≈ 1m/s

=> v = r[tex]\omega[/tex]

=> [tex]\omega[/tex] = v/r

=> [tex]\omega[/tex] = 1/100

=> [tex]\omega[/tex] = 0.01 rad/s

Answer:

36

Step-by-step explanation:

multiple by the length value by 3

La respuesta es 15

31 - 16 = 15

Answer:

LCM of (4800, 1350, 2646) = 2116800

Step-by-step explanation:

Factorización prima de los números:

4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5

1350 = 2 × 3 × 3 × 3 × 5 × 5

2646 = 2 × 3 × 3 × 3 × 7 × 7

MCM (4800, 1350, 2646)

2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7

2116800

MCM de (4800, 1350, 2646) = 2116800

Answer:

Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.

One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes.

How many minutes would it take Mr. Russo alone to pack the case?

:

Let t = time required by Russo alone

then

(t+3) = time required by Lloyd alone

:

Let completed job = 1; (a packed case)

:

Russo + Lloyd = completed job

6%2Ft + 4%2F%28%28t%2B3%29%29 = 1

:

Multiply by t(t+3)

t(t+3)*6%2Ft + t(t+3)*4%2F%28%28t%2B3%29%29 = 1t(t+3)

:

Cancel the denominators, and you have:

6(t+3) + 4t = t^2 + 3t

6t + 18 + 4t = t^2 + 3t

10t + 18 = t^2 + 3t

:

Arrange as a quadratic equation on the right:

0 = t^2 + 3t - 10t - 18

t^2 - 7t - 18 = 0

Factors to

(t-9)(t+2) = 0

:

The positive solution is what we want here:

t = 9 minutes, time required by Russo alone

:

:

Check solution in original shared work equation (Lloyd requires 12 min)

Answer:

c.prism is not solid figure

Answer:

rectangle

Step-by-step explanation:

rectangle isn't a solid figure

Answer:

B

Step-by-step explanation:

surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.

Answer:

i know this is not the option but i did the maths and the correct answer

the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways

Step-by-step explanation

1.  5.95*5.95= 35.4025

2. but since it is a triangle it should be devided by 2 which is 17.70125

3. since there are 4 triangles you have to multiply it by 4 which is 70.805

4. 5.1*5.1=26.01

5. 26.01+70.805= 96.815

Answer:

60%

Step-by-step explanation:

5 hours - 100%

1 hour - 100/5 = 20%

3 hours - 20 x 3 = 60%

john has $3.05 he subtracts $1.18 and is left over with $1.87

first john subtracts the 8 from the five but he cant do that so he takes from the 3 and makes it a 2 he then moves over that ten that he had taken away from the 3 and places it at the 0. Now john needs to move over the 10 on the 0 to the 5 so he can subtract the 8 from the 5. John moves one ten from the nine that had replaced the 0 and gave it to the 5. that 5 is now a 15 because you've added ten to it.  John now subtracts the 8 from the 15 to get 7 . next john subracts the 9 from the 1 in the tens place to get 8. Now john subracts the 1 from the 2 in the hundereds place to get a total sum of $1.87.

or

3.05

-1.18

---------

1.87

Answer:

The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level

Step-by-step explanation:

The given data is

No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753

Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902

The calculated Means are

x1`= 2902.8

X2`= 3108.125

The standard deviations are

s1= 277.265

s2= 205.87

We are using Student's t- test

We formulate null and alternate hypotheses are

H0 : u1 - u2= 0 against Ha: u1 - u 2≠0

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t  ≥ t (0.025, 16) = ± 2.120

Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16

Here the difference between the sample means is x`1- x`2

=2902.8-3108.125

= -205.325

The pooled estimate for the common variance σ² is

Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2

=  9( 277.265)² + 7(3108.125)²/ 16

Sp² = 691,882.922+67,623,087.109/16

Sp= 2066.321

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -205.325/ 2066.321 √1/10+ 1/8

t= -205.325/980.142

t= -0.2095= -0.21

Conclusion

The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

7 - s/2 > 3

Step 1: Simplify both sides of the inequality.

−1 /2 s + 7 > 3

Step 2: Subtract 7 from both sides.

−1 /2 s + 7 − 7 > 3 − 7

−1 /2 s > − 4

Step 3: Multiply both sides by 2/(-1).

( 2 /−1 ) * ( −1/ 2 s) > ( 2/ −1 )*(−4)

s<8

Answer:

s<8

Given:

The expression is:

[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]

It can be written as:

[tex]=\dfrac{-10v^5x}{2v^3x^2}+\dfrac{6v^5x^4}{2v^3x^2}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-5v^2}{x}+3v^2x^2[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{-5v^2}{x}+3v^2x^2[/tex].

Answer:

144 minutes

Step-by-step explanation:

1 hr  = 60 minutes

5/12 of a fence in 60 mimnnutes

(5/12)x = 60

Multiply both sides by 12/5

x = 60 * 12/5

x = 144

144 minutes

If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.

An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Let x be the minutes.

1 hr = 60 minutes

5/12 of a fence in 60 minutes

(5/12)x = 60

Multiply both sides by 12, and we get

[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]

Simplifying the above equation, we get

5x = 720

Divide both sides by 5

[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]

Simplify

x = 144

The value of x = 144.

Therefore, 144 minutes will take them to complete the job.

To learn more about algebraic expression refer to:

https://brainly.com/question/19864285

#SPJ2

Step-by-step explanation:

sin 240° = -½√3 = -0.866

_______

Answer:

"0.9999" is the correct solution.

Step-by-step explanation:

The given values in the question are:

Mean,

= 55

Standard deviation,

= 9.1

Now,

⇒ [tex]z=\frac{X-mean}{sd}[/tex]

By putting the values, we get

⇒    [tex]=\frac{90-55}{9.1}[/tex]

⇒    [tex]=\frac{35}{9.1}[/tex]

⇒    [tex]=3.8461[/tex]

hence,

[tex]P(X<90)[/tex]

= [tex]P(Z<3.8461)[/tex]

= [tex]NORMSDIST(3.8461)[/tex]

then the value will be:

= [tex]0.9999[/tex]

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = 8x

Let the third number = x + 100

x + 8x + x + 100 = 480              Combine like terms

10x + 100 = 480                        Subtract 100

      - 100    -100

10x = 380                                   Divide by 10

x = 380/10

x = 38

First number = 38

Second number = 8*38 = 304

The third number = 38 + 100 = 138

Answer:

0.209 x 12 is that answer but their really is no answer because i have tried about every way i can think of to get the answer so yeah sorry

Step-by-step explanation:

brainliest pls

Answer:

Lets choose y

Plug in

Answer:

I'll choose 'x' variable first to eliminate because -

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]

⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]

⇒ [tex]-13y = 21[/tex]

⇒ [tex]y = \frac{-21}{13}[/tex]

Putting the value of y in eqn.2 ,

⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]

⇒ [tex]3x + \frac{105}{13} = 45[/tex]

⇒ [tex]3x = 45 - \frac{105}{13}[/tex]

⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]

⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]

Reducing the fraction gives ,

⇒ [tex]x = \frac{160}{13}[/tex]

Answer:

c.25-c/4

Step-by-step explanation:

because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4

Answer:

[tex]\sigma (y_1-y_2)=39[/tex]

Step-by-step explanation:

From the question we are told that:

Urn 1 :2 Red, 3 Yellow

Urn 2:3 Red, 7 Yellow

Sample 1 [tex]n_1=75\ balls[/tex]

Sample 2 [tex]n_2=100\ balls[/tex]

Generally the Probability of Red ball drawn is mathematically given by

For Urn 1

[tex]P(R)_1=\frac{2}{5}[/tex]

[tex]P(R)_1=0.4[/tex]

For Urn 2

[tex]P(R)_1=\frac{3}{10}[/tex]

[tex]P(R)_1=0.3[/tex]

Generally the equation for Variance of two independent variables [tex]\sigma (y_1-y_2)[/tex] is mathematically given by

 [tex]\sigma (y_1-y_2)=\sigma y_2 +(-1)^2 \sigma(x_1)[/tex]

    Where red balls drawn from both Urn is Modeled

    [tex]Urn_1\ is\ Modeled\ as (n_1=75,p_1=0.4)[/tex]

   [tex]Urn_2\ is\ Modeled\ as\ (n_2=100,p_2=0.3)[/tex]

 [tex]\sigma (y_1-y_2)=n_2 p_2(1_p_2)+n_1*p_1(1-p_1)[/tex]

 [tex]\sigma (y_1-y_2)=100*0.3(1-0.3)+75*0.4(1-0.4)[/tex]

 [tex]\sigma (y_1-y_2)=39[/tex]

Therefore the variance of the random variable defined as the number of red balls is

 [tex]\sigma (y_1-y_2)=39[/tex]

wheres the picture

Step-by-step explanation:

Answer:

∠K ≅ ∠N

Step-by-step explanation:

Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:

∠J ≅ ∠M

∠K ≅ ∠N

∠L ≅ ∠O

So, the answer is ∠N

Answer: no solution

Step-by-step explanation:

Answer:

10 × 0.5 x = 5x

10 × -2 = - 20

(5x-(-20)) = 5x + 20

-3x + 8x + 20 = 5x + 20

Answer

:A(2,2) _scale factor ½--A'(1,1)

B(4,6)_scale factor ½--B'(2,3)

C(6,2)_scale factor ½--C'(3,1)

is a required coordinate

Answer:

Heyaa!! My name is Pinky and im here to tell you that the answer is..

Step-by-step explanation:

!!(b)  P( x < 4)  =     ( 5 + 10 + 2 + 9 )  / ( 5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1 ) =  13/45!!

!!(c)  P(x  = 6)  =  15 / (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1)  =  1/6!!

!!(d) P( x ≥ 5 ) =  (12+ 15 + 3 + 1) /  (5 + 10 + 2 + 9 + 33 + 12 + 15 + 3 + 1) =  7/30!!

Have and Amazing Day now!!

                                                  ~Pinky~

Answer:

with what plz explain the question