Round to the nearest 10.

Step-by-step explanation:

Given parameters:

 Coordinate = (-4, 0)

Equation of the line given; y = -3x - 1

Unknown:

The equation of the line perpendicular to this = ?

Solution:

To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.

  The slope of the perpendicular line will be the negative inverse of the one given;

  Every straight line can be written as;

                               y  = mx + c

Given line;

                               y = -3x - 1

  the slope of this line = -3

A perpendicular line to this line will have a slope of;

                         [tex]\frac{1}{3}[/tex] a negative inverse of (-3)

Now,

       Let us go ahead and find the intercept c;

    y = mx + c

    0 =  [tex]\frac{1}{3}[/tex] x (-4) + c

          c= [tex]\frac{4}{3}[/tex]

insert parameters:

       y =  [tex]\frac{1}{3}[/tex]x +  [tex]\frac{4}{3}[/tex]

Multiply through by 3;

        3y = x + 4

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}[/tex]

[tex]\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}[/tex]

(now you can multiply the whole equation by 6 to remove the fractions

4a - 1 = 2

4a = 2+1

4a = 3

a = [tex]\frac{3}{4}[/tex]

Answer:

a=3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let one angle be x

Another angle will be 24+x

x+24+x=90

2x+24=90

2x=66

x=66/2=33

Now,

x= 33

x+24= 33+24= 57

Answer:

x = 27 and y = 66.5

Step-by-step explanation:

First, solve for x: since the 2 angles are supplementary, they add up to 180 degrees, leaving us with the equation (5x+1)+(x+17)=180 -> 6x+18=180 -> 6x=162 -> x = 27

After that, since the lines are parallel, 5x+1 degrees = 3y-14 degrees. We already know x, so we can just plug that in and solve for y: 5*27+1 = 3y-14 -> 136 = 3y+14 -> 122 = 3y -> y = 66.5

Therefore, x = 27 and y = 66.5.

Answer:

(8x +11)

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

From the strip diagram attached in the picture,

Addition of the expressions on the two strips in orange color and yellow color gives 320.

So, by adding the two expressions given on orange and yellow strips,

4x + 12x = 320

16x = 320

x = 20

Therefore, answer will be x = 20.

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

Answer:

About 231 armadillos

Step-by-step explanation:

Step 1:

4 : 7      Ratio

Step 2:

4x + 7x = 843        Equation

Step 3:

11x = 843      Combine Like Terms

Step 4:

x = 843 ÷ 11      Divide

Step 5:

x ≈ 77

Step 6:

77 × 3      Multiply

Answer:

231

Hope This Helps :)

Answer:

a. P= 0.6364

b. P = 0.3636

c. Q = $21.25

d. P = 0.5

Step-by-step explanation:

given data

value of a stock varies = $13 to $24

solution

P (stock value is more than $17)

P = [tex]\frac{(24-17)}{(24-13)}[/tex]

P =  [tex]\frac{7}{11}[/tex]

P = 0.6364

and

P (value of the stock is between $17 and $21)

P = [tex]\frac{(21-17)}{(24-13)}[/tex]

P = [tex]\frac{4}{11}[/tex]

P = 0.3636  

and  

Let the upper quartile be Q

[tex]\frac{(24 - Q)}{(24 - 13)} = 0.25[/tex]

[tex]\frac{(24 - Q)}{11} = 0.25[/tex]

(24 - Q) = 2.75

so

Q = $21.25

and

P(X > 20 | X > 16)

P = [tex]\frac{(24-20)}{(24-16)}[/tex]

P = [tex]\frac{4}{8}[/tex]

P = 0.5

Using the uniform distribution, it is found that:

a) 0.6364 = 63.64% probability that the value of the stock is more than $17.

b) 0.3636 = 36.36% probability that the value of the stock is between $17 and $21.

c) The upper quartile is of 21.25.

d) 0.5 = 50% probability that the stock is more than $20.

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

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

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, varies each day from $13 to $24 with a uniform distribution, hence [tex]a = 13, b = 24[/tex]

Item a:

[tex]P(X > 17) = \frac{24 - 17}{24 - 13} = 0.6364[/tex]

0.6364 = 63.64% probability that the value of the stock is more than $17.

Item b:

[tex]P(17 \leq X \leq 21) = \frac{21 - 17}{24 - 13} = 0.3636[/tex]

0.3636 = 36.36% probability that the value of the stock is between $17 and $21.

Item c:

This is the 75th percentile, that is, the value of x for which P(X < x) = 0.75.

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

[tex]0.75 = \frac{x - 13}{24 - 13}[/tex]

[tex]x - 13 = 11(0.75)[/tex]

[tex]x = 21.25[/tex]

The upper quartile is of 21.25.

Item d:

Greater than $16, hence [tex]a = 16[/tex].

[tex]P(X > 20) = \frac{24 - 20}{24 - 16} = 0.5[/tex]

0.5 = 50% probability that the stock is more than $20.

A similar problem is given at https://brainly.com/question/13547683

Answer:

they're both acute im 100% sure

Step-by-step explanation:

Answer:

P[ X < 2,4 ]  = 0,1587   or   15,87 %

Step-by-step explanation:

Normal Distribution  N ( 2,6 , 0,2 )

mean = μ₀ = 2,6 ft  and

standard dviation is

σ = 0,2 ft

Samle size 53    n  = 53

2,4 - 2,6 = 0,2

That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation.  The empircal rule establishes that the interval [  μ₀ ± σ]  contans 68,3 % of all values, by symmetry

μ₀ - σ = 68,3/2

μ₀ - σ = 34,15

Then the half of the bell shape curve is 0,5 and  from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between

0,5 - 0,3415   =  0,1585  or   15,85% is the probability

Other procedure is:

P[ X < 2,4 ]  = [X  -  μ₀ ] / σ

P[ X < 2,4 ]  = 2,4 - 2,6 / 0,2

P[ X < 2,4 ]  = - 0,2/0,2

P[ X < 2,4 ]  = - 1

And fom z - table we find for z (score) = - 1

P[ X < 2,4 ]  = 0,1587

Answer:

0.0668

Step-by-step explanation:

z=x−μσ=2.3−2.60.2=−1.50

Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.

Answer:

If i am not wrong the answer should be 56

Answer:

2/3 hours

Step-by-step explanation:

40 minutes = 40/60 = 2/3 hours

Answer:

y > 5.5

Step-by-step explanation:

The answer is C

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Plz give me brainliest

Answer:

27÷3 =9

Step-by-step explanation:

27 divided by 3 is 9

Answer: 3 * 9 = 27,    27 / 3= 9,  27/9 = 3

Step-by-step explanation:

3 being multiplied by 9 will give you 27.

27 divided by 9 will give you 3.

27 divide by 3 will give you 9.

Answer:

nice

Step-by-step explanation:

Answer:

4 11/12 Miles

Step-by-step explanation:

Answer:

a

[tex] 0.9876 <  \mu < 1.0174 [/tex]

b

[tex]0.941 <  x_o <  1.064[/tex]

c

[tex]0.933 , 1.072[/tex]

Step-by-step explanation:

From the question we are told that

  The data is  

1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99

   Generally sample mean is mathematically represented as  

    [tex]\= x = \frac{\sum x_i}{n}[/tex]

=>  [tex]\= x = \frac{1.01 +  0.97 +  1.03 \cdots +1.02 +  0.99}{16}[/tex]

=> [tex]\= x =1.0025[/tex]

Generally the standard deviation is mathematically represented as

       [tex]\sigma =  \sqrt{\frac{\sum (x - \= x) ^2}{n} }[/tex]

=>    [tex]\sigma =  \sqrt{\frac{ (1.01 - 1.0025 ) ^2 + (0.97 - 1.0025 ) ^2+ \cdots  + (0.99 - 1.0025 ) ^2 }{16} }[/tex]

=>   [tex]\sigma =  0.0202[/tex]

Given that the confidence level is 99% then the level of significance is  

     [tex]\alpha  =  (100 - 99 ) \%[/tex]

=>   [tex]\alpha  = 0.01[/tex]

From the t distribution table the critical value for [tex]\frac{\alpha }{2}  = \frac{0.05}{2}  =  0.005[/tex] is  [tex]t_{\frac{\alpha }{2} } =  2.947[/tex]

Generally the margin of error is mathematically represented as

       [tex]E =  t_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.947 *  \frac{0.0202 }{\sqrt{16} }[/tex]

=>    [tex]E = 0.01488[/tex]

Generally the 99% confidence interval is  

    [tex]\= x  - E <  \mu < \= x  + E[/tex]

=>   [tex]1.0025  - 0.01488<  \mu < 1.0025  + 0.01488[/tex]

=>   [tex] 0.9876 <  \mu < 1.0174 [/tex]

Generally the 99% Prediction interval is mathematically represented as

    [tex]\= x  -[t_{\frac{\alpha }{2} } *  \sigma  *  \sqrt{1 + \frac{1}{n} } ] <  x_o <\= x  +[t_{\frac{\alpha }{2} } *  \sigma  *  \sqrt{1 + \frac{1}{n} } ][/tex]

So

=>  [tex]1.0025  -[2.947 *  0.0202  *  \sqrt{1 + \frac{1}{16} } ] <  x_o <1.0025  +[2.947 *  0.0202  *  \sqrt{1 + \frac{1}{16} } ]

=>  [tex]0.941 <  x_o <  1.064[/tex]

Generally the two sided limit tolerance factor at sample size of  n =  16 ,  Prediction level of 99% and  confidence level of 95 is  [tex]r =  3.421[/tex] , this value is obtained from the statistical table

Generally the 99% tolerance interval for coverage of the central 95% of the distribution of diameters is mathematically represented as

      [tex]\= x - (r * \sigma ) , \= x + (r * \sigma )[/tex]

=>    [tex]1.0025 - ( 3.421 * 0.0202) , 1.0025 + ( 3.421 * 0.0202)[/tex]

=>    [tex]0.933 , 1.072[/tex]

Answer:

$5.67

Step-by-step explanation:

Step-by-step explanation:

a

the study is experimental as we do not just observe students performance. 2 techniques were also randomly assigned. there is control over teaching techniques and performance is also observed.

b.

these are the 3 factors: high school, instructions type, scores.

high school has 2 levels. level 1, is 3 high school. level 2: each high school has 4 sections and these 4 have 24 students.

instructions type: 1 level divided into standard and computer based.

scores: 0 ( no level)

c.

high school has between subject combination since there are 3 schools and 4 sections.

instructions type has between too. since there are two different types.

we have 24 students in each section which are within subjects.

d.

score on test is dependent variable

e.

student is basic experimental unit.

Answer:

Please look at the photo

Step-by-step explanation:

If you need more help ask me! :)

(N instead of X for variable)

N x 7 < 21

Answer:

$65.39

Step-by-step explanation:

10* $0.83= $8.30

4 * $9.50= $38.00

$15.95 + $8.30 + $38.00 + $3.14 = $65.39

Answer:

185

Step-by-step explanation:

222/6=37

5*37=185

Answer:

let monday be a = 800 (nearest 100)

let tuesday be b = 700 (nearest 100)

a+b = 800 + 700 = 1500

a+b = 1500