helpppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeee

Answer:

x = 4

Step-by-step explanation:

x - 6 = -2

Add 6 to each side

x-6+6 = -2+6

x = 4

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]x - 6 = -2[/tex]

Add 6 on both sides of the equation. The [tex]x[/tex] variable should be isolated on one side.

[tex]x - 6 +6= -2+6[/tex]

[tex]x=4[/tex]

The value of [tex]x[/tex] is 4.

Answer:

a) percentage of the employees that will experience lost-time accidents in both years = 1.2%

b) percentage of the employees that will suffer at least one lost-time accident over the two-year period = 10.8%

Step-by-step explanation:

given

percentage of lost time accident last year

P(L) = 8% = 0.08 of the employees

percentage of lost time accident current year

P(C) = 4% = 0.04 of the employees

P(C/L) = 15% = 0.15

using the probability

P(L ∩ C) = P(C/L) × P(L)

= 0.08 × 0.15 = 0.012 = 1.2%

percentage of the employees will experience lost-time accidents in both years = 1.2%

b) Using the probability of the event

P(L ∪ C) = P(L) + P(C) - P(L ∩ C)

= 0.08 + 0.04 -0.012 = 0.108 = 10.8%

percentage of the employees will suffer at least one lost-time accident over the two-year period = 10.8%

Answer:

Right rectangular prism

Solve for height

h=4cm

l Length

9

cm

w Width

5

cm

V Volume

180

cm³

Answer:

Step-by-step explanation:

volume of rectangular prism=l×w×h

9×5×h=180

h=4 cm

where h is the  height of prism.

Answer:

work is shown and pictured

Answer:

domain is:(-∞,-3]∪ [3,∞)

Step-by-step explanation:

f(x)=√(x²-9)

f(x)=√(x-3)(x+3)

domain is:(-∞,-3]∪ [3,∞)

Answer:

The plane is 388 miles far from the airport.

Step-by-step explanation:

We know that, the angle between southeast and south directions is [tex]135^\circ[/tex].

The plane travels as per the triangle as shown in the attached image.

A is the location of airport.

First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.

[tex]\angle ABC = 135^\circ[/tex]

To find:

Side AC = ?

Solution:

As we can see, the [tex]\triangle ABC[/tex] is an isosceles triangle with sides AB = BC = 210 miles.

So, we can say that the angles opposite to the equal angles in a triangle are also equal. [tex]\angle A = \angle C[/tex]

And sum of all three angles of a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ[/tex]

Now, we can use Sine Rule:

[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB}[/tex]

a, b are the sides opposite to the angles [tex]\angle A and \angle B[/tex] respectively.

[tex]\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles[/tex]

So, the answer is:

The plane is 388 miles far from the airport.

Answer:

a) h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b) 2.92

Step-by-step explanation:

a)

Here

Number of interviewees = N = 12

Number of job openings = M = 5

Interviews schedules for the first day =  n = 7

N − M = 12 - 5 = 7

Using hypergeometric distribution:

Let X be the no. top four candidates interviewed on first day.

The probability mass function of X:

P(X = x) = [tex](^{M} C_{x})[/tex]   [tex](^{N-M} C_{n-x})[/tex] /  [tex](^{N} C_{n})[/tex]

It can be written as:

h(x; n, M, N)  =  [tex](^{M} C_{x})[/tex]   [tex](^{N-M} C_{n-x})[/tex] /  [tex](^{N} C_{n})[/tex]    

                    = (5Cx) (7C7-x) / (12C7)

                    = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

h(x; 7, 5, 12) = (⁵Cₓ)( ⁷C₇₋ₓ) / (¹²C₇)

b)

The expectation is: E(X) = np

E(X) = n * M/N

              = 7 * 5/12

              = 7 * 0.41667

              = 2.9167

Answer:

(9, 3)  

Step-by-step explanation:

(1) 4(0.25x + 0.5 y) = 3.75 ⟶ x + 2y = 15

(2)                 4x - 8y = 12 ⟶ x  -  2y =   3

                                                   2x = 18

                                                      x = 9

                                              9 - 2y = 3

                                                  -2y = -6

                                                     y = 3

Answer:

Step-by-step explanation:

Given the expression [tex]3\left(q+\dfrac43\right) = 23[/tex], we are to find the value of q;

[tex]3\left(q+\dfrac43\right) = 23\\on\ expansion\\\\3q + 4/3(3) = 23\\\\3q+4 = 23\\\\subtract \ 4\ from \ both\ sides \ of \ the \ equation\\\\3q+4-4 = 23-4\\\\3q = 19\\\\Diviide \both\ sides \ by \ 3\\\\3q/3 = 19/3\\\\q = 19/3[/tex]

Hence the value of q is 19/3

Answer:

-2/3

Step-by-step explanation:

Don't worry about it, i got connections.

Answer:

  (3/4)a

Step-by-step explanation:

The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.

The midsegement length is the average of GK and FL, so is ...

  midsegment = (GK +FL)/2 = (a/2 +a)/2

  midsegment = (3/4)a

Step-by-step explanation:

F (x)=x³-2x²+x+1,

Then F (-x)= - x³ - 2x² - x + 1

Tell me if I'm right.

Hope this helps.

Have a great day!

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

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

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

I suppose this is saying that 20%, 25% and 55% are each a whole number of science students.  The GCD is 5%, 1/20th, so minimum 20 people total.  55% are studying biology, that's 11.

Answer: C. 11

Answer: 10

Step-by-step explanation:

Given : Total number of coins tossed = 10

Possible outcomes to toss a coin = Head or tail

Number of possible outcomes = [tex]2^{10}=1024[/tex]

Number of ways of obtaining exactly 1 heads = [tex]{10}C_1=\dfrac{10!}{1!9!}[/tex]     [using combinations [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex] ]

=10

Hence, the numbers of ways of obtaining exactly 1 heads= 10

Answer:

The answer is

Step-by-step explanation:

a + b + c

a = 5 b = - 1 c = - 8

Substitute the values of a , b , c into the above expression

That's

5 + ( - 1) + ( - 8)

5 - 1 - 8

Subtract the numbers

4 - 8

We have the final answer as

Hope this helps you

Answer:

-4

Step-by-step explanation:

5 + - 1 - 8= -4

Answer:

THE M ONE

Step-by-step explanation:

IT HAS A DIFFERENT VARIABLE

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                    ✌ -ZYLYNN JADE ARDENNE

Answer:

Not enough information. (15% Men at family reunion)

Step-by-step explanation:

The question ask what percentage of men with respect to the total number of parents, who attended the family reunion; however, there is no information given on which subset of these people are parents. Therefore we cannot determine the percentage of men with respect to the total number of parents.

If we assume that all attendees of the family reunion are parents, the we can simply write:

3/20 == .15 == 15%

So there are 15% men at the family reunion. Likewise for the women we can say:

17/20 == .85 == 85%

So there are 85% women at the family reunion.

Cheers.

Answer:

[tex]\boxed{15\ \%}[/tex]

Step-by-step explanation:

Total Parents = 17+3 = 20

Men among Parents = 3

%age of men:

=> [tex]\frac{3}{20} * 100[/tex]%

=> 3 * 5 %

=> 15 %

Answer:

It has a solution.

Step-by-step explanation:

Step 1: Rearrange 1st equation into slope-intercept form

2x + y = 15

y = 15 - 2x

Step 2: Rearrange 2nd equation into slope-intercept form

x = 15 - 2y

2y + x = 15

2y = 15 - x

y = 15/2 - x/2

Step 3: Rewrite systems of equations

y = 15 - 2x

y = 15/2 - x/2

Since the two lines are not parallel, they will have a solution.

Answer:

-2 is a zero of the polynomial. 2 is not a zero of the polynomial.

Step-by-step explanation:

A value of x is a zero of a polynomial if when it is substituted for x in the polynomial, it makes the polynomial evaluate to zero.

The polynomial is x + 2

Let x = -2:

x + 2 = -2 + 2 = 0

-2 is a zero of the polynomial.

Let x = 2:

x + 2 = 2 + 2 = 4

2 is not a zero of the polynomial.

Answer:b

Step-by-step explanation:

Answer:

3.27 hours

Step-by-step explanation:

Calculate the difference in speed and distance between the trains.

The relative speed:

101 - 90 = 11 mph

Difference in distance:

42 - 6 = 36 miles

[tex]time=\frac{distance}{speed}[/tex]

[tex]t=\frac{36}{11}[/tex]

[tex]t = 3.27[/tex]

Answer:

C. 1/16

Step-by-step explanation:

[tex]16 * 4^{-4}[/tex]

16 can be written as a power of 4.

[tex]4^2 * 4^{-4}[/tex]

The bases are same, add exponents.

[tex]4^{2+-4}[/tex]

[tex]4^{-2}[/tex]

Simplify negative exponent.

[tex]\frac{1}{4^2 }[/tex]

[tex]\frac{1}{16}[/tex]

Answer:

Step-by-step explanation:

The square root of 7066 is 84.0595....

Therefore the largest number we must test is 84, seeing as now we have proven we do not need to test any numbers greater than 84.0595...

That means, we only need to test prime numbers smaller than 84 to see if they go into 7066.

84 isn't prime. But 83 is prime.

Therefore, the greatest prime that needs to be considered for divisibility is 83.

Answer:

The numbers 7066 is not prime .

But we easily know when a number is prime when we divide it by the first prime numbers; 2, 3, 5, 7, 11.

Step-by-step explanation:

It is known with certainty that a number is prime when it is only divisible by and by unity.

But in this case, that number, when divided by other numbers less than the one, shows that when dividing into the remainder, it gives zero, which means that it is not only divisible by itself or by the unit, but also by other numbers.

for example; 7066/2=3533 , the remainder is zero;

Answer:

proved: see explanation below

Step-by-step explanation:

The parallelogram ABCD  has cordinates point A is (0,0) point B is (10,0) point C is (12,7) and point D is (3,7).

For the opposite sides of ABCD to be congruent, the slope of the opposite sides would be equal

If AB // CD, BC // AD, it’s a parallelogram.

If slope of AB = CD, BC = AD then it’s a parallelogram.

slope = Δy/Δx

slope AB = (0-0)/(10-0) = 0

slope BC =  (7-0)/(12-10) = 7/2

slope CD =  (7-7)/(12-3) = 0

slope DA =  (0-7)/(0-3) = 7/3

slope DA is supposed to be equal to slope BC

It means the coordinate of D is (2,7)

slope DA becomes=  (0-7)/(0-2) = 7/2

Therefore it would be proved that the opposite sides of ABCD are congruent as two pair of slopes are equal

Answer:

[tex]A +B+C+D = 3[/tex] is the correct answer.

Step-by-step explanation:

Given:

[tex]$\frac{5}{2+\sqrt{6}}$[/tex]

To find:

[tex]A+B+C+D = ?[/tex] if given term is written as following:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

Solution:

We can see that the resulting expression does not contain anything under [tex]\sqrt[/tex] (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

[tex]\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}[/tex]

Comparing the above expression with:

[tex]$\frac{A\sqrt{B}+C}{D}$[/tex]

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, [tex]A +B+C+D = 5+6-10+2 = \bold3[/tex]

Answer:

1

Step-by-step explanation:

1 ÷ 1 = 1

2 ÷ 1 = 2

3 ÷ 1 = 3

4 ÷ 1 = 4

5 ÷ 1 = 5

6 ÷ 1 = 6

7 ÷ 1 = 7

8 ÷ 1 = 8

9 ÷ 1 = 9

10 ÷ 1 = 10

Answer:

The world smallest number that is divisible by all the numbers 1,2,3,4,5,6,7,8,9,10 means that all the above numbers can divide that number without a remainder.

From the question the world smallest number that is divisible by the above numbers is

Hope this helps you

Answer:

Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.

He makes such steps:

1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:

7x+7y+7x+4x-y-7z=14+16,

11x+6y=30.

2. He multiplies equation (3)  4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:

8x-2y-14z+3x+2y+z=32+8,

11x-13z=40.

Thus, he did not eliminate the same variables in steps 1 and 2.

Answer: correct choice is he did not eliminate the same variables in steps 1 and 2.

Hope this helps you :)! If you would mark me brainliest, that would be awesome!

Answer:

correct answer is c

Step-by-step explanation:

edge 2020

Answer: A

Step-by-step explanation:

The required transformation is Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units. Hence option B is correct.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Since, both curve of x² and 2x² - 12x + 22  is in the graph.
Now, the steps of transformation of x² into 2x² - 12x + 22 is as follows.
1) Shift left by 3 units.
2) Stretch vertically by a factor 2.
3) Shift upward by 4 units

Thus, the required result will be seen graph.

Learn more about graphs here:

brainly.com/question/16608196

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Answer:

Balance after one year will be $5830.

The correct statement about the line segment is,

⇒ the segment DE bisects segment AC.

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

Triangle ABC is shown in figure.

Now, We can see that;

⇒ AE = EC

Hence, the segment DE bisects segment AC.

Thus, The correct statement about the line segment is,

⇒ the segment DE bisects segment AC.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

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Answer:

  152.53°

Step-by-step explanation:

The Law of Cosines is useful for finding an angle when sides are given.

  a^2 = b^2 +c^2 -2bc·cos(A)

  A = arccos((b^2 +c^2 -a^2)/(2bc))

  A = arccos((18^2 +17^2 -34^2)/(2(18)(17))) = arccos(-543/612)

  A ≈ 152.53°