Solve for x PLEASE PLEASE
38+8x+2+68=180

Answer:

There will be 5 full groups of 7 with 1 person left over so you can make it 6 if you want

Step-by-step explanation:

7 times 5 equals 35 plus 1 equals 36

Complete Question

A population has a mean of 200 and a standard deviation of 50. Suppose a random sample of 100 people is selected from this population. What is the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean

Answer:

The value is  [tex]P(195 <  X  <  205 ) =  0.6827  [/tex]

Step-by-step explanation:

From the question we are told that  

   The mean is [tex]\mu = 200[/tex]

    The population standard deviation is  [tex]\sigma = 50[/tex]

    The sample size is  [tex]n = 100[/tex]

Generally the standard error of sample mean is mathematically represented as

       [tex]s = \frac{ \sigma }{\sqrt{n} }[/tex]  

=>    [tex]s = \frac{50 }{\sqrt{100} }[/tex]  

=>    [tex]s =5[/tex]

Generally the limits of   [tex]\pm 5[/tex]  within  the population mean is mathematically represented as

      [tex]a = \mu - 5[/tex]

=>  [tex]a = 200 - 5[/tex]

=>  [tex]a = 195[/tex]

and

    [tex]b = \mu + 5[/tex]

=>[tex]b = 200 + 5[/tex]

=>[tex]b = 205[/tex]

Generally the probability that the sample mean will be within [tex]\pm 5[/tex] of the population mean is mathematically represented as

         [tex]P(a < X < b ) = P(\frac{a - \mu }{s} < \frac{X - \mu }{s} < \frac{b - \mu }{s} )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(\frac{ 195-  200 }{5} < \frac{X -  \mu }{s} < \frac{205 -  200 }{5}  )[/tex]

 [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(-1< Z<1 )[/tex]

=>    [tex]P(195 <  X  <  205 ) =  P(Z <  1)  -  P(Z<-1 )[/tex]

Generally from the  z -table  the probability of  (Z <  1) and  (Z<-1 )  is

     [tex]P(Z < 1)= 0.84134[/tex]

and  

    [tex] P(Z<-1 )   = 0.15866 [/tex]

So

      [tex]P(195 <  X  <  205 ) =  0.84134  -  0.15866  [/tex]

      [tex]P(195 <  X  <  205 ) =  0.6827  [/tex]

Answer: x<5 or x>11

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\text{Numbers: 3, 18}}[/tex]

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

[tex]a+b=21[/tex]

[tex]b=6a[/tex]

We can now substitute the value of b (6a) into the first equation.

[tex]a + (6a) = 21[/tex]

Combine like terms:

[tex]7a=21[/tex]

Divide both sides by 7:

[tex]a=3[/tex]

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into [tex]b=6a[/tex].

[tex]b = 6 \cdot 3\\\\b = 18[/tex]

So our numbers are 3 and 18.

Hope this helped!

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

a+b=21a+b=21

b=6ab=6a

We can now substitute the value of b (6a) into the first equation.

a + (6a) = 21a+(6a)=21

Combine like terms:

7a=217a=21

Divide both sides by 7:

a=3a=3

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .

b=6⋅3

b=18

So our numbers are 3 and 18.

Hope this helped!

Answer:

x = -4

Step-by-step explanation:

3x - 6 = 8x + 14

-6 = 5x + 14

-20 = 5x

-4 = x

x = -4

Answer: 0.8185

Step-by-step explanation:

Let X represents the tree diameters that are distributed normally.

Given: Mean [tex]\mu=9.6\text{ inches}[/tex], Standard deviation  [tex]\sigma=2.4\text{ inches}[/tex]

The probability that its diameter will fall between 7.2 inches and 14.4 inches will be:

[tex]P(7.2<X<14.4)=P(\dfrac{7.2-9.6}{2.4}<\dfrac{X-\mu}{\sigma}<\dfrac{14.4-9.6}{2.4})\\\=P(-1<Z<2)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<2)-P(Z<-1)\\\\=P(Z<2)-(1-P(Z<1))\\\\=0.9772-(1-0.8413)=0.8185\ [\text{By p-value table}][/tex]

Hence, required probability = 0.8185

Answer:

600

Step-by-step explanation:

(4x5) x (5x6)

First we solve each expression in the parenthesis. 4x5=20 and 5x6=30. Then, since the parenthesis are placed together, we multiply the two values. 20x30=600.

hope this helped!! <3

Answer:

i think 600

Step-by-step explanation:

Answer (it stays the same):

[tex]3x^{2} + x - 6[/tex]  

I hope this helps!

Answer:

Option (2)

Step-by-step explanation:

If we spin spinner 1, the possible outcome on this spinner for a single spin will be either RED (R) or GREEN (G).

Similarly, if we spin spinner 2, possible outcomes for a single spine will be 1 or 2 or 3 or 4.

If we spin both the spinners possible outcomes from both the spinners in a single spin will be,

Red with 1 Or Red with 2 Or Red with 3 Or Red with 4,Or

Green with 1 Or Green with 2 Or Green with 3 Or Green with 4

Symbolically,

R1, R2, R3, R4, G1, G2, G3, G4

Therefore, Option (2) will be the answer.

Answer:

C. 75

Step-by-step explanation:

Factorize the numbers first

5=5×1

25=5×5

15=5×3

LCM of 5,25,15 will be 5×5×3=25×3=75

Answer:

10.75

Step-by-step explanation:

Answer:

10.75 gallons

Step-by-step explanation:

Answer:

x = 18°

Step-by-step explanation:

Vertical angles can be defined as a pair of angle formed when two (2) lines intersect. These angles formed during the intersection of the two (2) lines are opposite to each other.

Hence, vertical angles are always equal to one another.

From the question, we have;

58° = (3x + 4)°

Rearranging the equation;

[tex] 3x = 58 - 4[/tex]

[tex] 3x = 54[/tex]

[tex] x = \frac{54}{3}[/tex]

x = 18°

Therefore, the value of x is 18 degrees.

Answer:

Multiplication

Step-by-step explanation:

To get X alone, you multiply by 6 to each side so that the left side cancels out, getting the variable by itself.

The final equation would be X=54.

Answer:

Multiplication

Step-by-step explanation:

You can see there is a division with the 6, and to get rid of 6, you need to multiply it :)

Answer:

-5x+6-3x=22 is x = -2

10-9x+6=34 is x = -2

Step-by-step explanation:

Answer:

1 over 2? Not sure though

Step-by-step explanation:

Answer:

1.2876 is the answer I got.

Answer:

-10 or 12

Step-by-step explanation:

1/2 y2 -y =60

Multiply both sides by 2

y2 - 2y =120

Subtract 120 from both sides

y2 - 2y -120 = 0

Factor the left side ( y+10) (y -12 =0)

By zero product property, y= -10,12

So the number is -10 or 12

I don't if this was helpful sorry if its not

Answer:

s = -43.245

Step-by-step explanation:

First, you move the constant to the right:

-s=44-0.755

Calculate:

-s=43.245

Then, you change the signs:

s=-43.245

To explain your reasoning, you can say that:

To add any complex numbers together, you add the constants to each other and the numbers together.

Answer:

P>9(P is bigger than 9 )

Step-by-step explanation:

2P-P>6+3

P>9

Answer:

3. D

4. I

5. E

6. G

7. J

8. B

9. A

10. H

Answer:

Step-by-step explanation:

This is a fill in the gap question:

The Central Limit Theorem tells us that the sampling distribution for the population proportion is approximately normal with the population proportion as its mean. The theorem of the central limit is a set of results on the weak convergence of a series of random variables in probability. Intuitively, according to these results, any sum of independent and identically distributed random variables tends towards a certain random variable.

Similarly; from the question:

The mean of the sampling distribution is given by [tex]\mathbf{\mu_{\hat p } = p}[/tex]

Suppose p is the population proportion and let say n is the sample size; then :

The standard deviation of the sampling distribution can be represented by :

[tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Answer:

Francine can decorate 9 cakes in 1 hour.

Step-by-step explanation:

Since there are sixty minutes in an hour, knowing that 20 × 3 = 60, all you have to do is multiply 3 by itself to get 9.

Answer:

1.5 dollars

Step-by-step explanation:

just divide 6 by 4 lol.I also am bad at math too dw

Answer:

1.50 is my answer that I would put so

Answer:

A' (6,-3)

B' (2,-5)

C' (-3,-2)

D' (1,-2)

Answer:

QUART IS A LITTLE LESS THAN A LITER

Step-by-step explanation:

hope this helps :))

Answer: I think 134.4

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't have a graph but I'll tell you how to graph. You have to graph this as an mx+b equation. Since this doesn't have a y-intercept, you'll start at 0 on the graph. Go up 2 times and over to the right 1 time. You should be at (1,2) do the same thing and you should be at (2,4) continue till you run out of the provided space. Now, go back to 0 and complete the part below it. To complete that, from 0, go down 2 times and over to the left 1 time. You should reach (-1,-2) and when you do the same thing again, you should reach (-2,-4) and continue until you run out of space. The coordinates o=in which the line touches should be the opposites of the coordinates above 0. Like (1,2) (-1,-2) and (2,4) (-2,4).

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer:

Pythagorean Theorem: a squared + b squared = c squared

Pythagorean Theorem: implies in every single triangle

Step-by-step explanation:

Answer:

A.K= 2/3 Y=15

​

SORRY I ONLY DID A

Answer:

W= 45/ - 3 = 15/-1

Step-by-step explanation:

Answer: 45/-3 = 15/-1

Step-by-step explanation: