A telktronics dental X ray machine bears a label stating that the machine gives radiation dosages with a maximum of 5. 00 millorientgens. Sample data consist of 46 randomly selected observations with a mean of 4. 23 milliroentgens and a standard deviation of 1. 91 milliroentgens. Test the claim that the machine gives a radiation dose lower than the maximum on the label

Different types of algorithms are:

As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.

A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.

For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.

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Answer:

√34

Step-by-step explanation:

To find the distance between two points, you can use the distance formula, which is:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

We can plug in the points (3, 7) and (-2, 10) to get:

d = √[(-2 - 3)^2 + (10 - 7)^2]

We can simplify.

d = √[(-5)^2 + (3)^2]

d = √(25 + 9)

d = √(34)

d =  √34

If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.

If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.

0.48 + 0.3 = 0.78.

In other words, there is a 78% probability of her not being late.

Answer:

  (a)  (5, 9)

Step-by-step explanation:

You want the solution to the system ...

The value of x is already given, so no work is required to find that.

The value of y is found by using that value of x in the equation for y:

  y = 2x -1

  y = 2·5 -1 = 10 -1 = 9

The solution is (x, y) = (5, 9).

Answer:

Step-by-step explanation:

9x+2+5x-4=180

14x-2=180

14x=80+2

x=182/14

x=13

angle B=5x-4

=5*13-4

=65-6

=61

a: 235 92 U + 1 0 n → 90 36 Kr + 141 56 Ba + 3 1 0 n

b: 239 94 Pu + 1 0 n → 96 38 Sr + 143 55 Ba + 3 1 0 n

c: It is not possible to complete this nuclear fission reaction as it is not a valid input. There is no nuclide with the atomic number 94 and mass number 239.

Nuclear reactions are those that involve the nucleus of an atom. Nuclear fission involves the splitting of an atomic nucleus and the formation of two distinct atomic species.

Nuclear fission is a nuclear reaction in which the nucleus of an atom is split into two or more smaller nuclei, along with the release of a large amount of energy. In the first reaction, an atom of Uranium-235 (U-235) is hit by a neutron, which causes the nucleus to split into Krypton-90 (Kr-90) and Barium-141 (Ba-141) along with 3 neutrons. In the second reaction, an atom of Plutonium-239 (Pu-239) is hit by a neutron, which causes the nucleus to split into Strontium-96 (Sr-96) and Barium-143 (Ba-143) along with 3 neutrons.

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To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.

The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.

Joules (j)              Calories (c)

0.239c                  1

0.478c                  2

0.717c                  3

0.956c                  4

1.195c                  5

1.434c                      6

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The fraction of the voters who voted in favor of the measure will be 1/5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it.

The fraction of the voters who voted in favor of the measure will be given as,

⇒ 20%

⇒ 20 / 100

⇒ 1 / 5

The fraction of the voters who voted in favor of the measure will be 1/5.

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Answer:

6sqrt(2)=8.5

Step-by-step explanation:

Using pythagoras theorem

The measure of BC is 8.486 unit.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given angle is 45 degree.

Hypotenuse = 12 unit

Now, using Trigonometry

sin 45 = P/ H

sin 45 = BC / 12

0.707 = x/ 12

x = 8.486 unit

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For k=0 or k=3, the given equation will be a perfect square.

Note:  we are taking the equation to be: (4−k) X^2+(2k+4) x+8k+1=0

Taking,

(4−k) X2+(2k+4) x+8k+1=0

Here, a=4+k, b=2k+4, c=8k+1

The given equation will be a perfect square, When D= 0

We know, D = b^2−4ac [A perfect square trinomial is an expression that can be generated from the square of a binomial equation. If an equation has the formula ax^2 + bx + c and meets the requirement b^2 = 4ac, it is referred to as a perfect square trinomial. The formula for the perfect square has the following variations: ax2 + 2abx + b2 = (ax + b). When b^2 = 4ac, we know that an equation is a perfect square.]

b2−4ac=0

(2k+4)2−4(4−k) (8k+1) =0

4k2+16+16k−4(32k−8k2+4−k) =0

K2+4+4k−32k+8k2−4+k=0

9k2−27k = 0

K2−3k = 0

k(k−3) =0

k=0 or k=3

Hence for k=0 or k=3, the given equation will be a perfect square.

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Answer:

x = 405

Step-by-step explanation:

DBE is 0.1x-33 and the measurement of angle CBE is

The sum of both angles form a right angled triangle ;

DBE + CBE = DBC

DBC = RIGHT angled triangle = 90°

(0.1x-33) + (0.3x - 39) = 90°

0.1x - 33 + 0.3x - 39 = 90°

0.1x + 0.3x - 33 - 39 = 90

0.4x - 72 = 90

0.4x = 90 + 72

0.4x = 162

x = 162 / 0.4

x = 405

Answer:

Step-by-step explanation:

the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:

3 = k/15, or (by multiplying both sides by 15) k = 45

Then y = 45/x

Answer:

Step-by-step explanation:

x - 4y =

-2 - (6 x 4) =

-2 - (24) =

-2 - 24 =

-26

Hope that helps! :)

-Aphrodite

Answer:

360 degrees

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

Answer:

A.35/8

B.7/3

C.27/5

those r the improper fractions of the mixed fractions

By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.

We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.

Thus, we can write the equation:

14/10 = (x + 9)/(x + 6)

Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:

(14/10)*(x + 6) = x + 9

Now we can multiply both sides by 10 to get:

14*(x + 6) = 10*(x + 9)

14x + 84 = 10x + 90

Now we can solve this linear equation for x.

14x - 10x = 90 - 84

4x = 6

x = 6/4

x = 3/2

That is the value of x.

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Answer:

PF

Step-by-step explanation:

Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.

Hope this helped!

Statement 1 is correct and Statement 2 is not correct.

As A, B and C represent distinct non-zero digits

For least value of x

Let A=1, B=2, C=3

The possible numbers that can be formed using 1,2,3 are 6 {using permutations}

123, 132, 213, 312, 231, 321

x is the sum of all possible 3-digit numbers formed by A, B and C without repetition so

x= 123+ 132+ 213+ 312+ 231+ 321

x=1332

So statement 1 is correct

statement 2 cannot be correct as least value of x is  4-digit so  greatest value of x cannot be a three digit number.

The 4-digit least value of x is 1332 so Statement 1 is correct and Statement cannot be correct.

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Answer:

false

Step-by-step explanation:

(x,y)

if the first cord is 0 its on y

is the second cord is 0 its on x

Answer: True

Since the x-coordinate being 0, the point lies on the y-axis. The y-coordinate =+3 being positive, the point lies on the +ve y-axis.

Step-by-step explanation: Hope this help :D

Answer:

i think you asking for a equation if so here

hope it helps brainiest?

Step-by-step explanation:

x=total cost

x=0.75m+4

Answer:

38

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Answer:

h ≤ 16

Step-by-step explanation:

If he plans to cook 16 of less hotdogs, h is going to be equal to or less than 16. The circle is closed because he could cook 16.

Answer:

For the first question it would be answer 4

Since they ask you "at most 16 hot dogs," that means that it has to be less than or equal to 16.

For the second question, you would put the endpoint on 16 and make the arrow going left.

Answer:

Step-by-step explanation:

150 : 300

In simplest form

1 : 2

In fraction form

1/2

In decimal form

0.5

Answer:

1:2 1/2 1÷2

Step-by-step explanation:

divide both of them by 150. You get 1:2, which can be converted to 1/2 and 1÷2

Answer:

the answer is 5 because if you divide it its your answer

Answer:

x=-5

Step-by-step explanation:

Set " 4x+20" equal to 0 (4x+20=0)

Do the opposite operation of 20 (in this case is subtraction) and subtract 20 from both sides (4x+20-20=0-20).

You'll be left with 4x=-20.

Divide both sides by 4 (4x/4=-20/4).

4 divided 4 equals x.

-20 divided by 4 equals -5.

x=-5.

Hope this was helpful.

Answer:

45

Step-by-step explanation:

when a = 6 , b =2

2a^2/ b^3 + b(2a+6)

=2(6)^2/ (2)^3 +(2)[2(6)+6)

=45

Answer:

P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²

Step-by-step explanation:

Given - The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)

To find - Formula for P(x) ?

Proof -

Given that,

P(x) has a root of multiplicity 2 at x=1

So,

(x - 1)² is a factor.

Now,

Given that, there is roots of multiplicity 1 at x=0 and x=-3

So,

(x - 0) and ( x - (-3) are also factor

So,

P(x) can be written as

P(x) = Ax(x + 3)(x - 1)²           .........(1)

where A is a constant.

Now,

Given that, It goes through the point (5,256)

⇒At x = 5, P(x) = 256

So,

Put the values of x and P(x) in equation (1), we get

P(x) = Ax(x + 3)(x - 1)²

⇒256 = A(5)(5 + 3)(5 - 1)²

⇒256 = 5A(8)(4)²

⇒256 = 40A(16)

⇒256 = 640 A

⇒A = [tex]\frac{256}{640}[/tex] = [tex]\frac{2}{5}[/tex]

∴ we get

P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²