Which of the following is a simple event?j
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times

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:

I think it's my choice. ;-)))

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:

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

The answer is 65

Step-by-step explanation:

all you had to do was divide

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: It's the third one down

Step-by-step explanation:

Answer:

42.14

Step-by-step explanation:

First find the area of the square:

14x14=196

Then find the area of the circle:

It has a diameter of 14 so divide it by 2 to get the radius.

Then use the formula πr²

7²=49

49x3.14=153.86

Then subtract

196-153.86=42.14

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.

Answer:

Step-by-step explanation:

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

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:

y =2x

Step-by-step explanation:

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!

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.

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:

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

(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:

A(x) = ∫₂ˣ f(t) dt

A(x) = ∫₂ˣ (3t + 2) dt

A(x) = (3/2 t ² + 2t ) |₂ˣ

A(x) = 3/2 x ² + 2x - 10

which is parabolic and easy to graph.

(b) Differentiating A(x) is also easy if you use the "closed" form above:

A'(x) = (3/2 x ² + 2x - 10)'

A'(x) = 3x + 2

and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.

You can get the same result using the fundamental theorem of calculus:

A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2

Answer:

y = |x| + 3

Step-by-step explanation:

The point moved up the y-axis positive 3 units.

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:

50/50

Step-by-step explanation:

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:

[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:

2x+5y=103

Step-by-step explanation:

x=price per box of grapefruit

y=price per box of oranges

Answer:

C

Plzzzzz give me Brainliest!!!!!  

Answer:

Equation is;

(D/8) + (D/4) = 1600

D = 4266.67 ft

Step-by-step explanation:

We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,

speed during this stage is; v1 = 8ft/sec

Time during this stage is; t1

The bee stays at the flower bed for 1200 seconds.

Thus, time at this stage is; t2 = 1200 s

It flies directly back to the hive at 4ft/sec.

Speed at this stage; v2 = 4 ft/s

Time at this stage; t3

We are told that it was away for a total of 2800 seconds.

Thus; t1 + t2 + t3 = 2800

Since t2 = 1200 s, then;

t1 + 1200 + t3 = 2800

t1 + t3 = 2800 - 1200

t1 + t3 = 1600

Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;

D = 8t1

t1 = D/8

During time t3, the speed was 4ft/sec. Thus; D = 4t3

t3 = D/4

Thus,since t1 + t3 = 1600

Then;

(D/8) + (D/4) = 1600

Multiply through by 8 to get;

D + 2D = 1600 × 8

3D = 12800

D = 12800/3

D = 4266.67 ft