what is refraction ​

Answer:

A. <6

Step-by-step explanation:

Exterior angle of this geometric shape is 6

The exterior angle in the given figure is ∠6.

Option A is the correct answer.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

From the diagram,

We see that the exterior angle is ∠6.

Now,

The exterior angle is the sum of its two nonadjacent interior angles.

So,

∠6 = ∠1 + ∠3

Thus,

The exterior angle is ∠6.

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Answer:

She must sell $60,000

Step-by-step explanation:

4 percent of 60,000 is 2,400 and you add the $400 that she automatically makes every month and you get $2800 as the total amount she makes.

Given that :-

To Find :-

Solution :-

→ Perimeter = 2( Length + breadth)

→ 26 = 2 ( Length+ 4 )

→ 26/2 = Length + 4

→ 13 = Length + 4

→ Length = 13 -4

→ Length = 9 meters.

So the Length of Lisa's garden is 9 meters .

Answer:

9

Step-by-step explanation:

Answer:

(1) 0.75

(2) 30

(3) 56

Step-by-step explanation:

Let X represent the time for service call.

It is provided that: [tex]X\sim Uni(20, 60)[/tex]

The probability density function of X is:

[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b[/tex]

(1)

Compute the probability that the service call takes longer than 30 minutes as follows:

[tex]P(X>30)=\int\limits^{60}_{30} {\frac{1}{60-20}} \, dx[/tex]

                 [tex]=\frac{1}{40}\times |x|^{60}_{30}\\\\=\frac{60-30}{40}\\\\=\frac{3}{4}\\\\=0.75[/tex]

Thus, the probability that the service call takes longer than 30 minutes is 0.75.

(2)

The Inter quartile range is the difference between the 75th and 25th percentile.

From part (1), we know that P (X > 30) = 0.75.

⇒ 1 - P (X > 30) = 0.75

⇒ P (X < 30) = 0.25

The 25th percentile is 30.

Compute the 75th percentile as follows:

[tex]P(X<x)=0.75\\\\\int\limits^{x}_{20} {\frac{1}{60-20}} \, dx=0.75\\\\\frac{1}{40}\times |x|^{x}_{20}=0.75\\\\x-20=40\times 0.75\\\\x=30+20\\\\x=50[/tex]

The 75th percentile is 50.

Then the inter quartile range is:

[tex]IQR=P_{75}-P_{25}[/tex]

        [tex]=50-20\\=30[/tex]

Thus, the inter quartile range is 30.

(3)

Compute the 90th percentile as follows:

[tex]P(X<x)=0.90\\\\\int\limits^{x}_{20} {\frac{1}{60-20}} \, dx=0.90\\\\\frac{1}{40}\times |x|^{x}_{20}=0.90\\\\x-20=40\times 0.90\\\\x=36+20\\\\x=56[/tex]

The 90th percentile is 56.

Answer:

0.0857

Step-by-step explanation:

What we need is, B R -G, successively. We do not add each probability, but multiply them.

P(1st marble is B) = 6 / 16

P(2nd marble is R) = 4 / 15

*your sample space decreases because you took one marble already before, the Blue one

P(3rd marble is not Green) = 12/14

** it's 12 because you took 2 non-Green marbles before

*** it's 14 because you took 2 marbles before

To arrive at the final answer, just multiply all probability.

Answer:

The answer is

Step-by-step explanation:

Send 5 to the right side of the equation

That's

Multiply both sides of the equation by 3

We have

x = 20 × 3

We have the final answer as

Hope this helps you

Answer:

x = -2 +/- √8 or 0.828.... and -4.828....

Step-by-step explanation:

x² + 4x + 4 = 4 + 4

(x + 2)² = 8

x + 2 = +/-√8

x = -2 +/- √8

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

Answer:

16

Step-by-step explanation:

F(x) = x² + 3x - 2

Let x=3

F(3)= 3^2 +3*3 -2

     = 9+9-2

    = 18-2

     =16

Answer: $384

Step-by-step explanation:

1000- 1000=0

900-500=400

20-36=-16

400+-16=384

Answer:

the Dead Sea has the least elevation.

Expanding the first expression gives

[tex](x+y)^2=x^2+2xy+y^2=1[/tex]

Since [tex]xy=-4[/tex], we have

[tex]x^2+2(-4)+y^2=1\implies\boxed{x^2+y^2=9}[/tex]

Answer:

Step-by-step explanation:

The complete question is given thus:

Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. Is it unusual to find four computer literates among four randomly selected people?

x      P(x)

0     0.16

1      0.25

2     0.36

3      0.15

4      0.08

ANSWER:

The odds that this will occur according to the chart are 0.08, or 8%, so although this is unlikely, it's not terribly unusual.

⇒ NO

So from the following we can say it is not unusual to find four (4) computer literates among four randomly selected people.

ok, so P(1) + P(2) + P(3) + P(4) + P(0)  = 0.16+0.25+0.36+0.15+0.08 = 1

Whereas the chance of finding four (4) out of four (4) computer iteration is low when compared to other factors.

cheers i hope this helped  !!

Answer:

0.982 * [tex]\pi[/tex]  = 3.085 cubic units

Step-by-step explanation:

To find the volume of the solid generated by a region that is bounded by lines where x = 0 , x (b) = 2 we apply the formula given in the attachment below  

the required region boundaries are

y = e^-x2 , y = 0 ,  x = 0,  x = b ( b >0)

attached below is a detailed solution of the problem

Answer:

Step-by-step explanation:

Given:

Sample 1.71 , 2.05

Find:

Margin of error

Sample mean

Computation:

1. Margin of error = (2.05 - 1.71) / 2

Margin of error = 0.34 / 2

Margin of error = 0.17

2. Sample mean = (2.05 + 1.71) / 2

Sample mean = 3.76 / 2

Sample mean = 1.88

Answer:

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

[tex]hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}[/tex]

Substituting our given data and solving for hpy we have

[tex]hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37[/tex]

hence x= 37

Answer:

All you have to do to identify the number of terms in a polynomial is to count the number of separate parts in the polynomial separated by a plus or minus (terms)

Step-by-step explanation:

Answer:

A histogram is a graph that organizes a group of data points. A histogram graphically summarize the distribution of a univariate data set.

Answer:

10; -3

Step-by-step explanation:

Let's represent the first number with x, and the second number with y.  Now let's write these two equations to find the numbers.

x + 2y = 4

2x + y = 17

We can solve using the substitution method:

x = 4 - 2y

2x + y = 17

2 (4 - 2y) + y = 17

8 - 4y + y = 17

-3y = 9

y = -3

Now plug the value of y in to find x:

x + 2y = 4

x + 2(-3) = 4

x + -6 = 4

x = 10

So, the first number is 10, and the second number is -3.

Cheers.

Answer:

18 millimeters

Step-by-step explanation:

The perimeter of any shape is the sum of the sides.  A trapezoid has four sides, so the perimeter is found by adding the four side lengths together.

The trapezoid in this problem has side lengths of 5 mm, 2 mm, 5 mm, and 6 mm.

Add the sides together.

5 mm + 2 mm + 5 mm + 6 mm

7 mm + 5 mm + 6mm

12 mm + 6 mm

18 mm

The perimeter of the trapezoid is 18 millimeters.

Answer:

0.4

Step-by-step explanation:

The number of ways to select 3 points out of 5 points:

N1 = 5C3 =  (5 x 4 x 3)/(1 x 2 x3) = 10

The number of ways to select 3 points out of 4 points that are already collinear:

N2 = 4C3 = (4 x 3 x 2)/(1 x 2 x 3) = 4

=> The probability of selecting 3 points that are collinear:

P = N2/N1 = 4/10 = 0.4

Good day, Harry!

Answer:

r^2 = 1

Step-by-step explanation:

The computation of the  coefficient of determination for the two variables is shown below:

here the perfect positive linear correlation is r = 1

And, the negative linear correlation is r = -1

Based on this, the coefficient of determination is equivalent to the linear correlation coefficient square

[tex]r^2 = (\pm)^2 \\\\ = 1[/tex]

This above describes that variation that lies between the variables as explained by the linear regression line

The coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation is denoted by; r² = (±1)² = 1

The mathematical computation of the coefficient of determination for two variables that have perfect positive linear correlation can be in two forms and is as follows;

In lieu of this, the coefficient of determination is equivalent to the square of linear correlation coefficient.

The computation above describes that variation that lies between the variables as explained by the linear regression line.

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Answer:

72

32 x

________

 144

2160  +

________

2304

Step-by-step explanation:

Answer:

The relationship is that the value of the linear correlation coefficient will always have the same sign as the value of the slope of a regression​ line.

Step-by-step explanation:

The slope of regression is simply the covariance between X and Y divided by the variance of X i.e Cov(X, Y)/Var X. Whereas, the correlation is the covariance divided by the product of the standard deviation. Thus, we can say that the correlation is the product of the gradient of the regression line and the ratio of the standard deviations.

Thus, it means when the correlation is positive, the slope is also positive and vice versa.

The sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

Therefore, the sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.

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Answer:

39

Step-by-step explanation:

difference=28

other number=11

so:

11+28=39

39 is your other number

Answer:

Just simply add the given two numbers and you ll get the answer 39 now to check whether its right or wrong subtract 11 from 39 and you ll get 28 which proves that its correct

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

Answer:   B

Step-by-step explanation:

ax² + bx + c = 0 is rewritten as  x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²

A) 4x² + 9x + 5 = 0    -->    x² + (9/4)x + (9/8)² = -5/4 + (9/8)²

                                        = x² + (9/4)x + 81/64 = -5/4 + 81/64

B) 4x² + 12x + 7 = 0    -->    x² + (12/4)x + (12/8)² = -7/4 + (12/8)²

                                         = x² + 3x + 9/4 = -7/4 + 9/4             <---- this works!

C) 3x² - 6x - 4 = 0    -->    x² + (-6/3)x + (-6/6)² = 4/3 + (-6/6)²

                                         = x² - 2x + 1 = 4/3 + 1

D) 2x² - 8x - 9 = 0    -->    x² + (-8/2)x + (-8/4)² = 9/2 + (-8/4)²

                                         = x² - 4x + 4 = 9/2 + 4

Answer:

B

Step-by-step explanation:

its the correct answer :)

Answer:

a) true

Step-by-step explanation:

Empirical hypothesis is the type of hypothesis used to try and explain a  phenomenon which leads to a theory been developed and put to the test, using observation and experiment.

Radium was discovered due to a discrepancy in pitchblende's radiation. It was noted by the Curies that Polonium alone could not suffice for that amount of radiation, leading to the theory that another element could be present. After further testing, Radium was discovered as the culprit element.

Also, the presence pf another planet, later discovered to be Neptune was theorized to explain the phenomenon that could cause the irregularities in the motion pattern of the planet Uranus. After much experimentation, observations and calculations, Neptune was discovered.

Answer:

The slope is

[tex] - \frac{4}{3} [/tex]

Step-by-step explanation:

To find the slope given two points we use the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

where

m is the slope

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (3,14) and (6,10)

The slope of the line (3,14) and (6,10) is

[tex]m = \frac{10 - 14}{6 - 3} = \frac{ - 4}{ 3} [/tex]

[tex]m = - \frac{4}{3} [/tex]

Hope this helps you

Answer:

72

Step-by-step explanation:

120% × 60 =

(120 ÷ 100) × 60 =

(120 × 60) ÷ 100 =

7,200 ÷ 100 =

hopefully this helped