solve and identify the solution. 10+1.5x=3.5x

Answer:

a) The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b) The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c) The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ)  = 4.9 mm

Standard deviation of the Population(σ) = 1.2 mm

a)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]

The probability that the thickness is less than 3.0 mm

[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]

                                               =  1 - ( 0.5 + A(1.583)

                                              = 0.5 - A(1.583)

                                             = 0.5 - 0.4430

                                             = 0.057

The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is less than 7.0 mm

[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]

                                          = 0.5 - 0.4599   ( from normal table )

                                          = 0.0401

The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c)

Let 'X' be the random variable in normal distribution

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]  

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7) =  P( - 1.583 < X < 1.75 )

                   =   A(  1.75 ) + A( -1.583)

                  =     A(1.75)+A(1.583)

                 = 0.4599 + 0.4430

                = 0.9029  

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Answer:

y= 4x +2

Step-by-step explanation:

Slope-intercept form is y= mx +c.

Thus, rewrite the equation to make y the subject of formula.

-8x +2y= 4

Let's simplify the equation first by dividing both sides by 2.

-4x +y= 2

+4x on both sides:

y= 4x +2

Answer:

1) 1/3+1/2= 5/6   2) 3/4-1/2= 1/4

Step-by-step explanation:

1/3+1/2= 5/6 (multiply each denominator by what both of the fractions can equal, so 1/3= 2/6 and 1/2= 3/6. add 3/6 and 2/6 together) ( whatever you do to the top you do to the bottom)

3/4-1/2= 1/4 ( 3/4 equals 3/4 since 1/2 already equals 2/4, u dont need to change anything to 3/4) but make sure you make 1/2 equal to 3/4 so you can subtract easily!

Answer:

7.74

Step-by-step explanation:

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]

Since the sum of the squares is less than 1, the point is on the unit circle.

Answer:

Step-by-step explanation:

the integers are -8,-7,-6,-5,-4,-3,

Answer:

1. F(12)

2. F(m) = 2,500

3. F(v) ≥ 3,000

4. 0.9F(30)

Answer:

There are many answers to this one. Look at the step-by-step explanation.

Step-by-step explanation:

1. The top one (the amount, in dollars, raised by volunteers) matches with F(12).

2. The next one down (the amount, in dollars, raised by m volunteers is $2,500) matches with F(m) = 2,500.

3. The second to last one down (the amount, in dollars, raised by v volunteers is at least $3,000) matches with F(v) ≥ 3,000.

4. The very last one at that bottom (90 percent of the amount, in dollars, raised by 30 volunteers) matches with 0.9F(30).

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Step-by-step explanation:

Performance appraisal is the answer

Answer:

42 M

Step-by-step explanation:

14 =74

8/14 = ?/74

8/14= 0.57

So,

0.57*74 = 42

Answer:

x=42

Step-by-step explanation:

Please see the picture attached. I hope this helps!

Answer:

the slope line that passes through the point is 4/5

Answer:

Step-by-step explanation:

Remark

You have 2 points to solve the equation y = mx + b. After finding m, use either of the points to find b.

Formula

y = mx + b

m = (y2 - y1)/(x2 - x1)

Solution

m = (13 - 5)/(0 - 24)

m = 8 / - 24

m = - 1/3

y = mx + b

y = -1/3 x + b

Use (0,13)  as the point.

13 = -1/3 * 0 + b

13 = b

The y intercept = (0,13)

Answer:

C

Plzzzzz give me Brainliest!!!!!  

Answer:

[tex]\dfrac{5^6}{5^2}[/tex] = [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5^6}{5^2}[/tex]

We need to find this expression is equal to what.

[tex]\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5[/tex]

Hence, [tex]\dfrac{5^6}{5^2}[/tex] is equal to [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]. Hence, the correct option is (c).

Answer:

25 miles a day

Step-by-step explanation:

75 divided by 3 is 25

Answer:

wow good job carrieee lol

thers no question tho :(

Answer:

2x+5y=103

Step-by-step explanation:

x=price per box of grapefruit

y=price per box of oranges

Answer:

14 minutes.

Step-by-step explanation:

To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:

2,150X = 30,100

X = 30,100 / 2,150

X = 14

Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.

8. 1/3 = 3/y

or, y= 9

11. 3/x= 6/x+8

or, 6x=3x+24

or, 3x= 24

or, x=8

Hope it helps uh.

Answer:

x = 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Divide both sides by 3.

Hope this helps

Answer:

1/13

Step-by-step explanation:

y is proportional to x ⇒ y = kx

Plug in (26,2) and solve for k:

2 = k·26

k = 2/26 = 1/13

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

Answer:

50/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The nomebers are equivalent (true)

opposites. (true)

produt 1 (false)

a positive value (false)

last on don't now but I think it's (false)

Answer: It's the third one down

Step-by-step explanation:

The number of students that scored a 77 on the test in the histogram D. Cannot be determined.

It should be noted that a histogram is simply used to review and provide a visual analysis of data.

In this case, the number of students that scored a 77 on the test cannot be determined.

Learn more about histogram on:

https://brainly.com/question/2962546

#SPJ2

Answer:

Step-by-step explanation:

Use the ratio to solve:

Cross multiply and solve for x:

The answer is $42.42

Here,

At the neighborhood grocery,

4.5 pounds of steak cost= $47.25

So,1 pounds of steak cost=[tex]\bold{\dfrac{47.25}{4.5}\$ }[/tex]

According to the question,

4.04 pounds of steak cost=

[tex]\bold{\dfrac{47.25}{4.5}×4.04 }[/tex]

[tex]\bold{\dfrac{\cancel{47.25}}{\cancel{4.5}}×4.04}[/tex]

[tex]\bold{ 10.5×4.04 }[/tex]

[tex]\bold{ 42.42 }[/tex]

so,

42.42$ would it cost to buy 4.04 pounds of steak.

Answer:

Plz give a picture or smth

Step-by-step explanation:

Thanks for the points tho