find the mean of factors of 16​

Answer:

by sss

Step-by-step explanation:

The property of congruence:

ΔABC ≅ ΔDCB by the SSS criterion.

The correct option is the SSS postulate.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Given information:

AB ≅ DC and AC ≅ DB.

The proof is given described as:

In triangle ABC and triangle DCB,

The two sides are congruent,

AB ≅ DC and AC ≅ DB ( As per the information provided).

And as per the diagram and reflexive property of congruence,

BC ≅ BC.

Therefore, ΔABC ≅ ΔDCB by the SSS criterion.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ5

Answer:

BAC=BDC(BDX)=30°

Step-by-step explanation:

We know that BD=OD.

But OD=OB= Radius of the circle.

Therefore

BD=OD=OB

BDO is equilateral triangle.

Angle DBO= 60°

Now let us take the intersecting point of CD and AB as X.

In triangle BDX,

BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)

BXD+DBX+BDX=180°{Angle Sum Property}

90°+60°+BDX= 180°

BDX= 30°

We also know that,

BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.

Therefore,

BAC=BDC(BDX)=30°

Answer:

The answer is 6 and -6

Step-by-step explanation:

The given equation is
[tex]x^2 - kx + 9 = 0 ... (1)[/tex]

where a = 1. b = -k, c = a

since the equation (1) has equal roots

[tex]\Rightarrow b^2 - 4ac = 0 \newline\\\Rightarrow (-k)^2 - 4(1)(9) = 0\\ \newline\\\Rightarrow (k)^2 - 36 = 0 \newline\\\Rightarrow k^2 = 36 \newline\\\Rightarrow k = \pm 6[/tex]

Hence volume of k = 6, -6

Answer:

B

Step-by-step explanation:

The only x,y pair in the table is  4,2

Answer:

31,41,51,71

Step-by-step explanation:

Answer:

The answer is: 31,41,51,71

Using the hypergeometric distribution, there is a 0.2486 = 24.86% probability that the entire batch will be rejected.

The formula to find the hypergeometric distribution formula is

P(X=x)=P(x, N, n, K)[tex]=\frac{C_{k, x} C_{N-k, n-x} }{C_{N, n} }[/tex]

[tex]C_{n, x} =\frac{n!}{(n-x)!}[/tex]

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

For this problem, the values of the parameters are given as follows:

N = 8000, n = 7, k = 0.04 x 8000 = 320

The probability that the entire batch will be rejected is P(x≥1), given as follows: P(x≥1)=1-P(X=0)

In which,

P(X=0)=P(0, 8000, 7, 320)[tex]=\frac{C_{320, 0} C_{7680, 7} }{C_{8000, 320} }=0.7514[/tex]

Now, P(x≥1)=1-0.7514=0.2486

Therefore, 0.2486 = 24.86% probability that the entire batch will be rejected.

More can be learned about the hypergeometric distribution at

brainly.com/question/24826394

#SPJ1

The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)

An equation is an expression that shows the relationship between two or more numbers and variables.

The conversion from polar to rectangular coordinates is:

x = rcosФ and y = rsinФ

Hence:

x = 6cos(π/2) = 0, y = 6sin(π/2) = 6

The conversion of (6, pi/2) from polar into rectangular coordinates is (0, 6)

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Bricklayer Ben placed a total of 462 bricks.

Bricklayer Ben places 42 bricks per hour.

Bricklayer Bob places 36 bricks per hour.

Let

x = number of hours worked by Bricklayer Bob

y = number of hours worked  by Bricklayer Ben

Therefore,

x = 2y

42y + 36x = 1254

42y + 36(2y) = 1254

42y + 72y = 1254

114y = 1254

y = 1254 / 114

y = 11

Hence,  Bricklayer Ben placed a total of 42 × 11 = 462 bricks.

learn more on equation here: https://brainly.com/question/12586700

#SPJ1

Answer:

15556913140

Step-by-step explanation:

Answer: 13 questions

Step-by-step explanation:

52% of 25 is 13

25/x=100%/52%

x=13

Answer:

200+500

Step-by-step explanation:

its wrong i answered the wrong question

Answer:

Hello! The answer to your question is (-7, -4).

Step-by-step explanation:

To solve this problem, you have to use the midpoint formula:

[tex](\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Now, we can substitute our values in:

[tex](\frac{-9 + -5}{2}, \frac{1 - 9}{2} )\\= (\frac{-14}{2} , \frac{-8}{2}) \\= (-7, -4)[/tex]

Answer:

- x + 1

Step-by-step explanation:

(x² + 2x + 3) - (x² + 3x + 2) ← multiply terms inside parenthesis by - 1

= x² + 2x + 3 - x² - 3x - 2 ← collect like terms

= - x + 1

Using a system of equations, the correct statement is given as follows:

B. The equation that represents this situation is 10 + x = -18. The second number is -28.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The numbers are x and y, and their sum is -18, hence:

x + y = -18.

The number y is 10, hence:

x + 10 = -18.

x = -18 - 10 = -28.

Which means that option B is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

The quantity of wheat to be transported by the company in metric tonnes is; 1.224 metric tonnes.

Since it follows that 1 metric tonne is equivalent to 2205 lb. It therefore follows that the quantity which is equivalent to 2700lb to be transported is;

= 2700/2205 = 1.224

Read more on conversion;

https://brainly.com/question/9351725

#SPJ1

If sin theta < 0 and tan theta > 0 as described in the task content, then, cos theta < 0 and 180<theta <270.

From the task content, it was described that sin theta < 0 and tan theta > 0.

Upon recall of angle quadrants, it follows that only the 3rd quadrant angles have positive tan values and negative sin values. Hence, it follows that the angle theta is in the 3rd quadrant and also has cos theta < 0.

Read more on quadrants;

https://brainly.com/question/1548800

#SPJ1

The Answer Is:

4z

Hope this helped!

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{Identify the equivalent expression z + z + z + z}\downarrow[/tex]

[tex]\huge\textbf{Let's find out which one is equal to}\\\\\huge\textbf{the following expressions:}[/tex]

[tex]\large\textbf{z + z + z + z}[/tex]

[tex]\large\textbf{= 1z + 1z + 1z + 1z}[/tex]

[tex]\large\textbf{= 2z + 1z + 1z}[/tex]

[tex]\large\textbf{= 3z + 1z}[/tex]

[tex]\large\textbf{= 4z}[/tex]

[tex]\huge\textbf{Anwer:}[/tex]

[tex]\huge\boxed{\textsf{Option A. 4z}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

3√5 or ≈ 6.71

Step-by-step explanation:

The Distance Formula is d = √((x2-x1)² + (y2-y1)²)

Given Points: (-3, 2) and (0, -4)

          Points: (x1, y1) and (x2, y2)

Find the difference between coordinates:

(x2 - x1) = (0 - (-3)) = 3

(y2-y1) = (-4 - 2) = -6

Square the results and sum them up:

(3)² + (-6)² = 9 + 36 = 45

Now Find the square root and that's your result:

Exact solution: √45 = 3√5

Approximate solution: 6.7082

Learn more about the Distance Formula here: https://brainly.com/question/661229

Answer:

-2x-8

Step-by-step explanation:

-5x + (3x-8)

-5x +3x -8

-2x - 8

Answer:

-2x-8

Step-by-step explanation:

-5x+(3x-8)

-5x+3x-8

-2x-8

Try this

Step-by-step explanation:

a square has the same perimeter as a 5cm by 7cm rectangle. which of the following area of the square

Answer:

At sea level, the altimeter would read 0 feet. Any positive readings on the altimeter would indicate she is above sea level. Any negative readings on the altimeter would indicate she is below sea level.

Step-by-step explanation: PLATO

Answer:

23.20

Step-by-step explanation:

join my stream for an explanation

(ChildOfHermes)

please mark brainliest

im only streaming for 15.5 more hours

Answer:

α ≈ 23.20°

Step-by-step explanation:

given all 3 sides of the triangle , then any of the trig ratios may be used, that is sine, cosine or tangent to find α

tanα = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{7}[/tex] , then

α = [tex]tan^{-1}[/tex] ( [tex]\frac{3}{7}[/tex] ) ≈ 23.20° ( to the nearest hundredth )

or

sinα = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{58} }[/tex] , then

α = [tex]sin^{-1}[/tex] ( [tex]\frac{3}{\sqrt{58} }[/tex] ) ≈ 23.20° ( to the nearest hundredth )

or

cosα = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{7}{\sqrt{58} }[/tex] , then

α = [tex]cos^{-1}[/tex] ( [tex]\frac{7}{\sqrt{58} }[/tex] ) ≈ 23.20° ( to the nearest hundredth )

Using the normal distribution, it is found that there is a 0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The proportion and the sample size are given, respectively, by:

p = 0.4, n = 743

Hence the mean and the standard error are given, respectively, by:

The probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3% is the p-value of Z when X = 0.43 subtracted by the p-value of Z when X = 0.37, hence:

X = 0.43:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.4}{0.018}[/tex]

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

X = 0.37:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.37 - 0.4}{0.018}[/tex]

Z = -1.67

Z = -1.67 has a p-value of 0.0475.

0.9525 - 0.0475 = 0.905.

0.905 = 90.5% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 3%.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

Answer:

[tex] \frac{2 ln(5) }{3 ln(2) } [/tex]

Step-by-step explanation:

[tex] log_{8}(25) = \frac{ ln(25) }{ ln(8) } = \frac{ ln( {5}^{2} ) }{ ln( {2}^{3} ) } = \frac{2 ln(5) }{3 ln(2) } [/tex]

The true statements among the given options are written below

bc || ad

ba ≅ cd  

∠cba ≅ ∠bcd

In an isosceles trapezoid, there is one pair of legs of equal length and a pair of parallel lines.

Given that quadrilateral abcd is a isosceles trapezoid.

In the given trapezoid abcd

bc || ad ( pair of parallel sides )

So this is correct.

ba ≅ cd  ( For an isosceles trapezoid legs are equal)

So this is correct

∠cba ≅ ∠bcd (According to  the property of isosceles  trapezoid )

So this is correct.

Hence, bc || ad, ba ≅ cd, ∠cba ≅ ∠bcd are correct

Learn more about quadrilaterals here https://brainly.com/question/14708246

#SPJ4

Answer:

x = - 5 , x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

Answer:

one hundred and two years

Answer:

  42

Step-by-step explanation:

Each ages at the same rate. In 3 years, all will be 3 years older.

The sum of their ages now is ...

  A +J +D = 33

In 3 years, the sum will be ...

  (A +3) +(J +3) +(D +3) = (A +J +D) +(3 +3 +3) = 33 +9 = 42

In 3 years, the sum of their ages will be 42.

Answer:

There are 6 possible outcomes for die A and 6 possible outcomes for die B.

Each of the 6 outcomes of die A can be combined with each of the 6 outcomes of die B. Therefore the total number of possible outcomes for each roll is given by:

6*6=36

1/216 is the equivalent expression for the given exponent [tex]6^{-3}[/tex].

An algebraic expression is a mathematical expression involving mathematical operations, variables, numbers, and mathematical quantities and combinations of them.

A negative exponent is the reciprocal of the same exponent with a positive value.

The reciprocal of any number is given by the fraction with the number as denominator and 1 as the numerator.

Here the given negative exponent is given by,

[tex]6^{-3}[/tex]

The exponent with positive value of the given negative exponent is given by [tex]6^3[/tex]

Reciprocal of the above exponent with positive value is given by,

[tex]\frac{1}{6^3}[/tex]

So now Calculating the negative exponent we have,

[tex]6^{-3} = \frac{1}{ {6}^{3} } = \frac{1}{216} [/tex]

Hence the equivalent expression for the given negative exponent is 1/216.

Learn more about Negative Exponent here -

https://brainly.com/question/1773695

#SPJ10