The difference between seven times a number and 9 is equal to five times
the sum of the number and 2. Find the number. Hint: There will be
parenthesis in your equation.

Answer:

0.0106 = 1.06% probability that 2 or fewer will withdraw

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they withdraw, or they do not. The probability of an student withdrawing is independent of any other student, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of its students withdraw without completing the introductory statistics course.

This means that [tex]p = 0.25[/tex]

Assume that 30 students registered for the course.

This means that [tex]n = 30[/tex]

Compute the probability that 2 or fewer will withdraw:

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.25)^{0}.(0.75)^{30} = 0.0002[/tex]

[tex]P(X = 1) = C_{30,1}.(0.25)^{1}.(0.75)^{29} = 0.0018[/tex]

[tex]P(X = 2) = C_{30,2}.(0.25)^{2}.(0.75)^{28} = 0.0086[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0002 + 0.0018 + 0.0086 = 0.0106[/tex]

0.0106 = 1.06% probability that 2 or fewer will withdraw

Answer:

6.284

Step-by-step explanation:

* means multiply

formula is arc length = radius * theta

theta is fancy way of saying

make degrees into radians

you have to make 60 degrees into radians

you do that by

60 * Pi/180 = Pi/3

then you multiply that with the radius

6 * Pi/3 = 2 * Pi = 6.284

Answer:

second option

Step-by-step explanation:

I'm not sure how to explain but if you really need an explanation please message me

The function that represents the absolute function will be y = -|x + 3| + 3. Then the function is represented by graph A.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = | x - h| + k

The function is given below.

y =    -x,    if x > -3

y = x + 6,  if x ≤ -3

The value of the functions at x = -3 is calculated as,

y = - (-3)

y = 3

y = -3 + 6

y = 3

The capability that addresses the outright capability will be y = - |x + 3| + 3. Then the capability is addressed by diagram A.

The graph is given below.

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Answer:

r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction

Two equivalent equations are s = LA/πr and r = LA/πs

A cone is a shape formed using a series of line segments or lines that connect a common point, called a apex or vertex, to all points on the base of a circle that do not contain a vertex. The distance from the apex of the cone to the base is the height of the cone. A circular base has a measured radius value. And the length from the apex of the cone to any point around the base is the height of the slope. Equations for the surface area and volume of a cone can be derived from these quantities

Volume(V) = ⅓ πr²h cubic units

The total surface area of the cone = πrs + πr²

where, r is radius of the base, s is slant height and h is height of the cone

Given,

Lateral area of cone is denoted by LA

Lateral area of cone = πrs

where r is radius and s is slant height

⇒ LA = πrs

⇒ s = LA/πr

⇒ r = LA/πs

Hence, s = LA/πr and r = LA/πs are two equivalent equations in the given options.

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Answer:

2×(6ײ+3×-1)=18.

2×(6×3×+4)(6×4×-3)=144

2×(6×3×-2)(4×2+4×-6)=1154..

12×2=24

12×2+7×-12=60

12×2+25×-12=276

12×3+4×2-10×+12=76

12×3+4×2-26×+12=8

12×3+6×2-2=46

Hi there!  

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I believe your answer is:  

[tex]w = 5, -5[/tex]

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Here’s why:  

⸻⸻⸻⸻

Therefore:

[tex]w =\pm5[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.13 centimeters and a standard deviation of 0.06 centimeters.

This means that [tex]\mu = 6.13, \sigma = 0.06[/tex]

Value that separated the top 7%:

The 100 - 7 = 93rd percentile, which is X when Z has a p-value of 0.93, so X when Z = 1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = 1.475*0.06[/tex]

[tex]X = 6.2185[/tex]

Value that separates the bottom 7%:

The 7th percentile, which is X when Z has a p-value of 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 6.13}{0.06}[/tex]

[tex]X - 6.13 = -1.475*0.06[/tex]

[tex]X = 6.0415[/tex]

A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.

Answer:

7.3

Step-by-step explanation:

When you round, you look at the number to the right of which you are rounding to.

1 decimal place would be the tenths place.

7.263

So we would look at the 6, in the hundredths place.

6 is larger than 5, so 2 would be bumped up to 3.

7.3.

I hope this helps!

Answer:

7.3

Step-by-step explanation:

rounding up from 7.263 is 7.3

Answer:

The answer is "0.9102"

Step-by-step explanation:

P(student spell correct) = 0.6

P(student spell incorrect)=1-0.6=0.4

X=the pupil will be allowed to sit down after receiving three slaps on the hand Thus, X would assume Value

X=0 (student sit sans getting whacks)

X=1 (student sit down without receiving 1 whack) (student sit down without receiving 1 whack)

X=2 (student take a seat before receiving 2 whacks)

X=3 (student sit down after receiving 3 punches)

[tex]\to P(X)=0.6 \times 0.4^0 +0.6 \times 0.4 + 0.6 \times 0.4 ^2 + 0.6 \times 0.3^3[/tex]

             [tex]=0.6 \times 1+0.24 + 0.6 \times 0.09 + 0.6 \times 0.027\\\\=0.6 +0.24 + 0.054 + 0.0162\\\\=0.9102\\\\[/tex]

Answer:

tow degree of freedom.

this inform I know that from vibration method

Solution :

Using the TI-84 PLUS calculator

a). Area : 0.41

μ = 75

σ = 9

InvNorm(0.41,75,9)

= 72.95209525

Therefore, the 41st percentile of the scores is 72.95209525

b).  Area : 0.74

μ = 75

σ = 9

InvNorm(0.74,75,9)

= 80.79010862

Therefore, the 74st percentile of the scores is 80.79010862

c). 8%

So,  Area : 0.92

μ = 75

σ = 9

InvNorm(0.92,75,9)

= 87.64564405

Therefore, X =  80.79010862

Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

HOPE IT HELPS PLZ MARK ME BRAINLIEST :D

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Vertical angles have the same measure, so ...

  m∠A = m∠B

  (5x -9)° = (8x -30)°

  21 = 3x . . . . . . . . . divide by °, add 30-5x

  7 = x . . . . . . . . . . divide by 3

Perimeter = namely the length of outside bordering,

well, this is a PENTAgon, or PENTA=5 or namely 5 sides, is regular so each side is the same length, so we have a polygon with 5 sides each measuring 40cm, well, its perimeter is just 40+40+40+40+40 = 200.

Answer:

B. 0.41

Step-by-step explanation:

Binomial experiment:

In a binomial experiment, the probability of the success on each trial is always the same.

The probability of success on trial 4 is 0.41.

This means that the probability of success on trial 8, and all the other 10 trials, is of 0.41, and thus the correct answer is given by option B.

Answer:

547737

Step-by-step explanation:

So first when know that the equation for exponentinal growth is f(x)=a(1+r)^x

Then you need to substitue so it would be f(x)=350,000(1+0.0775)^6

So then you would add the 1 and 0.0775 to equal 1.0775

So now its f(x)=350,000(1.0775)^6

So after that following PEMDAS, you would basically do 1.0775 to the power of 6 and get 1.56496155465

After you would do 1.56496155465 times 350,000 and that would be 547736.544129 and since its to the nearest whole number the answer would be 547737

Hopefully, that helped. If I did end up making a mistake then just comment on my answer. :)

Answer:

i^−3 = i

i^−2 = −1

i^−1 = −i

i^0 = 1

i^1 = i

i^2 = −1

i^3 = −i

i^4 = 1

i^5 = i

i^ 6 = −1

See the pattern

Answer:

y = 4x + 26

Step-by-step explanation:

y = mx + b

The slope (m) is equal to 4.

y = 4x + b

To find the y-intercept (b), plug in the point given.

6 = 4(-5) + b

6 = -20 + b

26 = b

The answer is y = 4x + 26.

Answer:

The equation of the line passing through (-5, 6) with a slope of 4 is

y = 4x + 26

Step-by-step explanation:

An equation of a line would always have the following structure...

y = mx + b

In this equation, "y" is the y coordinate of the point, "x" is the x coordinate of the point, "m" is the slope, and "b" is the y coordinate of the y-intercept. We know all the values except "b", but we can find the value of "b" by substituting all the other values into the equation...

y = mx + b

6 = 4(-5) + b

6 = b - 20

b = 6 + 20

b = 26

Therefore, the equation of the line passing through (-5, 6) with a slope of 4 is y = 4x + 26

Answer:

L = 0.16 yd, W = 0.22 yd

Step-by-step explanation:

Dimensions of play ground 23/147 yd x 3/14 yd

reducing factor 2/147

Let the original length is L.

[tex]L - \frac{2L}{147} = \frac{23}{147}\\\\L\frac{143}{147} = \frac{23}{147}\\\\L=\frac{23}{143} yd[/tex]

L = 0.16 yd

Let the width is W.

[tex]W - \frac{2W}{147} = \frac{3}{14}\\\\W\frac{143}{147} = \frac{3}{14}\\\\W=0.22 yd[/tex]

Answer:

4/3

Step-by-step explanation:

Substitute in 4.

(1/3)4

Multiply

4/3

I hope this helps!

This question is incomplete, the complete question is;

In the year 2005, the age-adjusted death rate per 100,000 Americans for heart disease was 222.3. In the year 2009, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 213.4.

a) Find an exponential model for this data, where t = 0 corresponds to 1999

Answer:

the exponential model for this data will be; y = 222.3( 0.9898 )^t

Step-by-step explanation:

Given the data in the question;

{ 2005 }, at t = 0, death rate was 222.3

In 2009, { 2009 - 2005 = 4 }, at t = 4 death rate was 213.4

Now, let the exponential equation be;

y = ab^(t)

so at t = 0

222.3 = a × b^(0)

222.3 = a × 1

a = 222.3

at t = 4

213.4 = a × b^(4)

213.4 = 222.3 × b^(4)

b⁴ = 213.4 / 222.3

b = (  213.4 / 222.3 )^(1/4)

b = 0.9898

y = ab^(t)

Hence, the exponential model for this data will be; y = 222.3( 0.9898 )^t

Answer:

Cluster sample

Step-by-step explanation:

i did it before

Answer:

Yes it is. Graph will go down as it moves from left to right.

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

that problem description is imprecise.

I think what is meant here : they each keep jogging at their own same speed.

Diane's speed is 1/3 miles / 10 min.

Jack's speed is 2/3 miles / 10 min.

now, to bring this to regular miles/hour format, we need to find the factor between 10 minutes and an hour (60 minutes) and multiply numerator and denominator (top and bottom of the ratio) by it.

60/10 = 6.

so, we need to multiply both speeds up there by 6/6 to get the miles/hour speeds.

Diane : (1/3 × 6) / hour = 2 miles / hour

Jack : (2/3 × 6) / hour = 4 miles / hour

since Jack is running twice as fast as Diane, she will finish one length in the same time he finishes a round trip (back and forth).

Diane running 1 mile going 2 miles/hour takes her 30 minutes.

Jack running 2 miles (back and forth) going 4 miles/hour will take him also 30 minutes.

so, they will meet at his starting point after 30 minutes.

Answer:

1/4

Step-by-step explanation:

The answer is 1/4.

1/2 is equivalent to 2/4.

2/4-1/4=1/4

9514 1404 393

Answer:

  P' = (3, -5)

Step-by-step explanation:

Rotation 180° about the origin is the same as reflection across the origin. The transformation is given by ...

  (x, y) ⇒ (-x, -y) . . . . . . the signs of the coordinates are both changed

  P(-3, 5) ⇒ P'(3, -5)

Answer:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

Step-by-step explanation:

idontknow

Answer:

∠AED

Step-by-step explanation:

Vertical angles are the opposite angles of intersecting lines. ∠BEC and ∠AED are opposite and would therefore also be congruent angles.

Answer:

[tex]\angle BEC=\angle AED [vertical ~angle][/tex]

[tex]\angle AED~vertical~ angle ~to~ \angle BEC[/tex]

[tex]ANSWER:\angle AED[/tex]

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

hope it helps...

have a great day!!

The required solution for the given expression (c² - 4c + 7) - (7c² - 5c + 3) is -6c² + c + 4.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

(c² - 4c + 7) - (7c² - 5c + 3)

Simplify the expression by solving bracket terms,

c² - 4c + 7 - 7c² + 5c - 3

Further, solve the expression by using mathematical operations,

-6c² + c + 4

The solution for the given expression is -6c² + c + 4.

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