Round 17.68694 to the nearest tenth

Answer:

[tex] x = 17 [/tex]

Step-by-step explanation:

[tex] 2x + 7 = 3x - 10 [/tex] (alternate exterior angles are congruent when a transversal cuts across two straight lines)

[tex] 2x - 3x = -7 - 10 [/tex] (collecting like terms)

[tex] - x = -17 [/tex]

[tex] \frac{-x}{-1} = \frac{-17}{-1} [/tex] (dividing both sides by -1)

[tex] x = 17 [/tex]

Answer:

The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]

Step-by-step explanation:

The average life span is  [tex]\pi = 8[/tex]

The sample size is n =  200

Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution

i.e  

             [tex]X \~ \ \ \ exp(8)[/tex]

Gnerally the probability distribution function for exponential distribution is

       [tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]

Now [tex]\lambda[/tex] is the  constant which is evaluated as

      [tex]\lambda = \frac{1}{\pi}[/tex]

=>   [tex]\lambda = \frac{1}{8}[/tex]

=>   [tex]\lambda = 0.125[/tex]

Generally the that the vehicles will fail in less than 2 years is  mathematically represented as

         [tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]

        [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]

       [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]

     [tex]P(X \le 2 )= p= -0.77880 + 1[/tex]

     [tex]P(X \le 2 )= p= 0.2212[/tex]

Generally the probability that the vehicle will fail in the first 2 years follows a binomial  distribution  with the mean evaluated as

         [tex]\mu = n * p[/tex]

=>      [tex]\mu = 200 * 0.2212[/tex]

=>      [tex]\mu = 44.24[/tex]

The standard deviation is

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

      [tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]  

      [tex]\sigma = 5.86[/tex]

Using normal approximation of binomial  distribution the  probability that 50 or more of them fail in the first 2 years is mathematically represented as

   [tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]

Applying continuity correction

    [tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]

Here

    [tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]

Generally  

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

=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]

From the z-table the probability value  of  ( Z  <  1.0664   ) is  

     [tex]P( Z < 1.0664 ) = 0.85679[/tex]

So  

   [tex]P(A \ge 50 ) = 1 - 0.85679[/tex]

=> [tex]P(A \ge 50 ) = 0.14321[/tex]

Answer:

Steve

Step-by-step explanation:

Because it means greater than or equal to

Answer:

A fungus breaks down the body of a dead animal or organism.

btw you cant be in college I did this years ago in fourth grade

A fungus breaks down the of a dead animal

Answer:

75

Step-by-step explanation:

How many students is 1% of the class, 30/40=0.75, so you could do 0.75x100=75, or you could do 0.75x60=45, and 45+30=75.

Answer:

47.581

Step-by-step explanation:

can't explain I just know how to do it

x = 24, y = 120

if you disagree tell me, I just substituted values.

Step-by-step explanation:

10. (6x - 7)° + (3x - 29)° = 180°

i.e they are co-interior angles:

6x + 3x - 7 - 29 = 180°

9x - 36° = 180°

9x = 216°

x = 24.

(6x - 7)° = (8y + 17)°

i.e they are vertically opposite angles;

but x = 24.

6(24) - 7 = 8y + 17

144 - 7 = 8y + 17

120 = 8y

y = 15

11. (9x + 25)° = (13x - 19)°

i.e they are corresponding angles;

25 + 19 = 13x - 9x

44 = 4x

x = 11

(13x - 19)° + (17y + 5)° = 180°

i.e they are adjacent angles;

but x = 11

13(11) - 19 +5 + 17y = 180

17y = 180 - 129

17y = 51

y = 3

What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.

Answer:

-90x Mark Me Brainlest Please

Step-by-step explanation:

Each triangle can be classified by its angles and sides in the following ways :

Answer:

The answer is QR and TS are parallel. QT and RS are parallel

Step-by-step explanation:

You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.

Answer:  1.82

Step-by-step explanation:

Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.

= 1.82

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

114, 261, 319, 183,654,313,58,98,335,324,52,125,342,66,321,893,690,798,201,74,632,216,76,155,161,304,530,1110,93,631,75,344,264,1120,122,45,304,192,316,63

USING CALCULATOR :

The mean(m) of the data: = ΣX/n

n = sample size = 40

m = 12974/40

m = 324.4

Median = ((n + 1)/2) th term = 41/2 = (20 + 21)th term / 2

= (261 + 264) / 2 = 262.5

Standard deviation (s) = sqrt(Σ(x - m)²/n))

s = 281. 74

B.) Coefficient of skewness (Ks) :

3(mean - median) / standard deviation

3(324.4 - 262.5) / 281.74

= 0.66

Mild positive skewness Given a positive skew Coefficient value.

(d-1) Are there any outliers?

Yes

Four outliers

(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)

Lower bound = Q1 - (1.5 * IQR)

Upper bound = Q3 + (1.5 * IQR)

IQR = Q3 - Q1

Q3 = upper quartile = 343 ; Q1 = 106 ; Q2 = 262.5

IQR = 343 - 106 = 237

Lower bound = 106 - (1.5 * 237) = - 249.5

Upper bound = 343 + (1.5 * 237) = 698.5

-249.5 ≤ X ≤ 698.5

Answer:

Step-by-step explanation:

multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation

multiply the top equation by 3, multiply the bottom equation by -2, then add the equations

Answer:

-6

Step-by-step explanation:

djhcjici4n c rncinr

for the question the answer will be -6

x = 3

Hi there !

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Good luck !

Answer:

3х<18

х<6

хє(-infinity ;6);

Answer:

x<6

Step-by-step explanation:

3x+4<22

First, subtract 4 from both sides of the inequality.

3x-4<22-4

This cancels out the 4, so the 3x is isolated

3x/3<18/3

Finally, simplify to get the answer.

x<6

please mark as brainliest!!

Answer:

$0.51

Step-by-step explanation:

If each box of cereal is $2.40, $2.40 multiplied by 4 is $9.60. $10.11 is the total, so $10.11 - $9.60 = $0.51.

Answer:

$0.51

Step-by-step explanation:

the person above me was correct

Answer:

A) (3,-2)

Step-by-step explanation:

A) (3,-2)

Answer:

True

Step-by-step explanation:

1,760 yds = 1 mile, 1,760 ÷ 2 = 880

Answer:

x³/2

8x³/7

5x²/3

3/4x³

Answer:

[tex]y=-x-15[/tex]

Step-by-step explanation:

Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.

Simplify this equation.

Distribute -1 inside the parentheses.

Subtract 8 from both sides of the equation.

This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.

Answer:

yes yesss yessssssssssssssssssssssssssssssssssss