Set of average city temperatures in April are normally distributed with a mean of 19. 7°C and a standard deviation of 2°C. The average temperature of Cairo is 21. 4°C. What proportion of average city temperatures are the higher than that of Cairo?

S_10 is an affine geometry, S_14 is a projective geometry, S_15 is neither an affine nor projective geometry and S_21 is a projective geometry.

For each of the following finite incidence structures, draw a picture and determine which are affine geometries, which are projective geometries, which are neither.

(a) S_10 is an affine geometry because each line has two points, and every pair of points lies on a unique line. The structure is symmetrical since each point is connected to the other three points.

(b) S_14 is a projective geometry because it contains a set of three pairwise disjoint lines (lines with no common points) {A, B, R}, {C, D, R}, {R, T, U}. It also satisfies the axiom that any two points have a unique line passing through them.

(c) S_15 is neither an affine nor projective geometry. Although every pair of points lies on a unique line, it doesn't satisfy the other axioms of affine or projective geometries, like the existence of a set of pairwise disjoint lines.

(d) S_21 is a projective geometry. It has three sets of pairwise disjoint lines: {A, B, C}, {D, E, F}, {G, H, I}, and each pair of points has a unique line passing through them.

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The given function is f(x) = 1 - 2x.

To find 2f(x), we simply multiply the function f(x) by 2:

2f(x) = 2(1 - 2x)

Distributing the 2 across the expression, we get:

2f(x) = 2 - 4x

Therefore, 2f(x) = 2 - 4x.

Answer:

i don no

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Since this is a vertical line, the equation of the line will not be in y = mx+b form. The slope of the line is undefined. So, the equation will be x =.

To figure out what x equals, look at all the x values in the coordinates or look to see where it crosses the x axis, which is at -2.

The equation is x = -2.

Answer:

Si estamos hablando de fracciones sería 13/30, si es en porcentaje solo divide 13÷30

Step-by-step explanation:

Para iniciar tenemos que encontar un denominador común, que seria el treinta, entonces sería como este 12/30+5/30=17/30, y luego restamos 17 a treinta, y lo que te da es el resultado, espero que te ayude.

Answer:

x = 51°

Step-by-step explanation:

The angle I shaded in yellow is a flat angle which measures 180°.

Use the 129° to find x.

180° - 129° = 51°

Answer:

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

Answer:

Can't be done

Step-by-step explanation:

3a = 9 divide both sides by 3

a = 3

that is not equivalent to a = 1

can't be done

Answer:

They aren't equivalent; a = 3

Step-by-step explanation:

If a = 1, then the expression will show:

3(1) = 9

3 × 1 does not equal 9.

3 × 3 equals 9.

The expression and variable are not equivalent.

A must equal 3 to be equivalent as that's the only was to equal 9 from this expression.

Answer:

y=x^2-4x+12

Step-by-step explanation:

Vertex to standard form is simple once you know how to look at it.

Standard form is x^2+bx+c=y.

Vertex form is f(x) = a(x – h)2 + k

So we know h=-2 and k =8.

Then, you need to graph it.

Since the y intercept is 12, 12=c.

b=k/h so b=8/-2 or -4. So -4=b

Answer:

$7.87

Step-by-step explanation:

Step one:

given data

For each costume, he needs 2.125 yards of fabric

cost of Fabric is $3.49 a yard

Required

The total cost of making the costume

Step two:

Hence the total cost of fabric needed is = 2.125*3.49= $7.42

sales tax is 6%

= 6/100*7.42

= 0.06*7.42

=$0.45

Therefore total cost of the costume is = 7.42+0.45= $7.87

Answer:

8

Step-by-step explanation:

I'm not completely sure but I hope it helps

Answer:

28 is answer

Step-by-step explanation:

14×2= 24

Hope it helpedddddddddd

To find the singular value decomposition (SVD) of matrix A, we need to find its singular values, left singular vectors, and right singular vectors.

Given matrix A:

A = [1 1 -1; 1 1 -1]

To find the singular values, we first calculate AA':

AA' = [1 1 -1; 1 1 -1] * [1 1; 1 1; -1 -1]

= [3 -1; -1 3]

The singular values of A are the square roots of the eigenvalues of A*A'. Let's find the eigenvalues:

det(A*A' - λI) = 0

(3 - λ)(3 - λ) - (-1)(-1) = 0

(λ - 2)(λ - 4) = 0

λ = 2, 4

The singular values σ1 and σ2 are the square roots of these eigenvalues:

σ1 = √2

σ2 = √4 = 2

To find the left singular vectors u, we solve the equation A'u = σv:

(A*A' - λI)u = 0

For λ = 2:

(1 - 2)x + (-1)x = 0

-1x = 0

x = 0

For λ = 4:

(-1)x + (1 - 4)x = 0

-3x = 0

x = 0

Since both equations result in x = 0, we can choose any non-zero vector as the left singular vector.

Let's choose u1 = [1; 1] as the first left singular vector.

To find the right singular vectors v, we solve the equation Av = σu:

(A*A' - λI)v = 0

For λ = 2:

(1 - 2)y + (1 - 2)y - (-1)y = 0

-2y + 2y + y = 0

y = 0

For λ = 4:

(-1)y + (1 - 4)y - (-1)y = 0

-1y - 3y + y = 0

-3y = 0

y = 0

Again, we have y = 0 for both equations, so we choose any non-zero vector as the right singular vector.

Let's choose v1 = [1; -1] as the first right singular vector.

Now, we can calculate the second left and right singular vectors:

For λ = 2:

(1 - 2)x + (-1)x = 0

-1x = 0

x = 0  For λ = 4:

(-1)x + (1 - 4)x = 0

-3x = 0

x = 0

Again, we have x = 0 for both equations.

Let's choose u2 = [1; -1] as the second left singular vector. For λ = 2:

(1 - 2)y + (1 - 2)y - (-1)y = 0

-2y + 2y + y = 0

y = 0   For λ = 4:

(-1)y + (1 - 4)y - (-1)y = 0

-1y - 3y + y = 0

-3y = 0

y = 0

We have y = 0 for both equations.

Let's choose v2 = [1; 1] as the second right singular vector.

Finally, we can write the singular value decomposition of matrix

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Answer:

8% played golf and 12% played volleyball

Step-by-step explanation:

add the total number of. student,  125, then write as fraction, 10/125 and 15/125, then convert to percentage

Answer:   \(\dfrac{49}{99}\)

Step-by-step explanation:

There are 61 boys --> 38 girls

A) 19 chose football: 5 are girls --> 14 are boys

B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis

C) 31 students chose tennis: 5 are girls --> 26 are boys.

D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.

\(\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}\)

Total running = 21 boys + 28 girls = 49

Total students = 99

\(\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}\)

Answer:

x = 10 and y = 11

Step-by-step explanation:

2x + 3y = 53      (call this equation '1')

3x - y = 19      (call this '2')

multiply '2' by 3:

9x - 3y = 57          (call this '3')

add '1' and '3':

(2 + 9)x  + (3 + -3)y = 53 + 57

11x = 110

x = 10.

now sub that value of x into '1':

2(10) + 3y = 53

20 + 3y = 53

3y = 53 -20

3y = 33

y = 11

no sub both x = 10 and y =11 into '2' to see if everything adds up:

3x - y = 19

3(10) - 11 = 30 - 11 = 19.

so x = 10 and y =11

Answer:

1

Step-by-step explanation:

Substitute the values for their respective variables.

\(\frac{ac}{b^2+1}\\\\\frac{(2)(5)}{(3)^2+1}\\\\\frac{10}{9+1}\\\\\frac{10}{10}\\\\1\)

The length of the arc intercepted by a central angle of 2.9 radians is 14.5 inches. Rounded to the nearest tenth, this is 14.5 inches.

To find the length (s) of the arc intercepted by a central angle of 2.9 radians in a circle with a radius of 5 inches, you can use the following formula:

Arc length (s) = radius × central angle (in radians)

In this case, the radius is 5 inches, and the central angle is 2.9 radians. Plugging these values into the formula, we get:

s = 5 × 2.9

s ≈ 14.5 inches

Therefore, the length of the arc intercepted by a central angle of 2.9 radians in a circle with a radius of 5 inches is approximately 14.5 inches, rounded to the nearest tenth.

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Answer:

To label 6.5 on a number line, put the plot between the 6 and 7.

Same thing goes for 8.5, except the plot would go between the 8 and 9.

8.5 > 6.5

Step-by-step explanation:

1.) Since 8.5 and 6.5 are decimals, they are not a whole number which is why they go right in the middle of the two numbers they are behind and in front of.

2.) > means greater than, and 6.5 is smaller than 8.5 therefore we use the greater than sign, pointed towards the 8.5.

I hope this helps! :)

The expression represent a trinomial polynomial with three terms. The constant term is 1 , the leading term is 5, and the leading coefficient is 1 / 7.

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using operations such as addition, subtraction, multiplication and division.

Trinomials are the algebraic expressions with three unlike terms.  Trinomial has three terms.

A constant term is a term in an algebraic expression that does not contain any variables and therefore is constant.

The leading term is the term with the highest power of x.

The leading coefficient of a polynomial is the coefficient found with the variable that has the largest exponent.

Therefore, the expression is a trinomial polynomial. This means it has 3 terms.

The constant term of the polynomial is 1 ,

The leading term is 5, and the leading coefficient is 1 / 7.

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Answer:

\( \boxed{\sf n = 2m - 8} \)

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

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Answer:

x = -2 or x = 12

Step-by-step explanation:

Using factorisation method, we need two numbers that add up to -10, but the same two numbers multiply with one another to produce answer of -24.

Format is (x    ) (x     ) = 0

-12 and 2, when added, produce result of -10.

When multiplied, they give result of -24

(x + 2) (x – 12) = 0.  We have x + 2 = 0, x = -2. We also have x – 12 = 0, x = 12.

x = -2 and x =12 are the solutions of the equation.

We can check if we are correct by ‘multiplying out’ the brackets.

(x + 2) (x – 12) = X²  - 12x  + 2x  + (2 X -12)

                       = x² – 10x - 24. So, we are correct.

We could have solved this equation by using the quadratic formula.

x = ((-b ± √(b² - 4ac)) ÷ 2a)

where a is the value of the first coefficient, b is value of the second and c is value of the constant.

NB number in front of x^2 is just one. When no number is presented in front, it is just a 1. In this case, it is 1 x^2 (simply just one lot of x^2, or just x^2).

a = 1, b = -10, c = -24

x = (-b ± √(b² - 4ac) ÷ 2a)

  = (-(-10) ± √((-10)² - 4(1)(-24)) ÷ 2(1))

  = ((10 ± √(100 + 96)) ÷ 2)

  = (10 ± √196) ÷ 2

 = (10 ± √(4 X 49)) ÷ 2

  = (10 ± √4 X √49) ÷ 2

   = (10 ± 2 X 7) ÷ 2

   = (10 ± 14) ÷ 2

   = 12 or -2.

Exactly what we got before.

Completing the square:

X² - 10x  - 24 = 0

1) put the x, not ^2, in parenthesis.

2) half the coefficient (10) of x. that is 5. Put that into same parenthesis.

3) we have (x - 5)

4) square this and multiply out. (x - 5)² = X² - 5x - 5x +25 = X² - 10x + 25

5) this looks just like the original equation except for +25. What do we have to do to get back to original? from +25 to -24 is a gap of 49. so we have to subtract 49.

6) now we have (X - 5)² – 49 =0

7) (x - 5)² = 49

8) (x - 5) = ± √49

9) x = ± 7  + 5

      = ± 7 + 5

      = 12 or -2

All the conditions for creating a confidence interval for the population proportion been met.

The probability that a population parameter would fall between a set of values for a certain percentage of the time is described by a confidence interval in statistics. Analysts typically employ confidence intervals that cover 95% or 99% of predicted observations.

The prerequisites for establishing the confidence sampling are as follows:

The requirements for establishing a confidence interval for the population proportion have been satisfied because all of the aforementioned requirements are satisfied.

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Answer:

24.35

Step-by-step explanation:

Answer:

16

The simplest way to do it is:

5 x 2 = 10

8 x 2 = 16

Error might the student have made was in angle 147 as acute angle means angle less than 60°

Acute angles are those that range in size from 0 to 90 degrees and are smaller than 90 degrees. Examples include 60, 30, 45, and other angles. An acute triangle is a triangle with all of its internal angles smaller than 90 degrees. An equilateral triangle, for instance, is an acute triangle because the internal angles are 60°.

Less than 90° of an angle is referred to be an acute angle. An acute angle, for instance, is formed when the time is 11 o'clock between the hour hand and the minute hand. Consequently, acute angles include 30°, 40°, 57°, and others.

Given that : The students are guvena right triangle. One of the acute angles has a measure of 33°. One student saha tbe measure kf the other acute angle is 147°.

As the acute angles are angles less than 90°

and they have measure as 147°

So the error was in measure angle as 147°

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The probability that the iPhone will not die before t hours, given an average battery life of 10 hours, can be calculated using the exponential distribution. The reliability of the device is equal to the probability of surviving beyond t hours, which is given by the equation \(\[P(T > t) = e^{-\lambda t}\]\), where \(\(\lambda\)\) is the rate parameter. In this case, since the average battery life is 10 hours, \(\(\lambda = \frac{1}{10}\)\). Therefore, the probability of reliability is \(\[P(T > t) = e^{-\frac{t}{10}}\]\).

To find the probability of reliability, we use the exponential distribution formula. The exponential distribution is commonly used to model the time until an event occurs, such as the battery dying in this case. The rate parameter, \(\(\lambda\)\), is the reciprocal of the average time until the event occurs.

In this scenario, the average battery life is given as 10 hours. Therefore, the rate parameter \(\(\lambda\)\) is \(\(\frac{1}{10}\)\). The probability that the iPhone will not die before t hours is calculated by finding the complement of the probability that it will die before t hours.

The complement of the event "the iPhone will die before t hours" is "the iPhone will survive beyond t hours." This is represented as \(\(P(T > t)\)\), where T is the time until the battery dies.

Substituting the value of \(\(\lambda\)\) into the exponential distribution formula, we get \(\(P(T > t) = e^{-\frac{t}{10}}\)\). This equation gives us the probability that the iPhone will not die before t hours, which is the reliability of the device.

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Answer:

3 horses and 4 ducks

Step-by-step explanation:

let h be the no. of horses and d be the no. of ducks

h+d=7

d=7-h

Since horses have 4 legs and ducks have 2 legs,

4h+2d=20

4h+2(7-h)=20

4h+14-2h=20

2h=6

h=3

d=4