given the equations 9x + (3)/(4)y + 6 and 2x + (1)/(2)y=9 by what factor would you multiply the sencond equation to eliminate y and solve the system through linear combinations

4x

Step-by-step explanation:

I think x(5 - 1) is ur answer

X(5-1)

=X(4)

=4x

Hope this helps

Answer:

The population mean load failures for the three etch times are all equal

Step-by-step explanation:

For an ANOVA F test, the null hypothesis always assumes that mean which is also the average value of the dependent variable which is continuously are the same/ there is no difference in the means. The alternative is to test against the null and it is always the opposite of the null hypothesis.

Answer:

[tex]f(x)=3x^2+2[/tex] and the limit is 12

Step-by-step explanation:

we know that the derivative of the function f in x=a is the limit of this

[tex]\dfrac{f(a+h)-f(a)}{a+h-a}=\dfrac{f(a+h)-f(a)}{h}[/tex]

as the expression is

[tex][3(a+h)^2+2 ]-14[/tex]

we can say that

     [tex]f(a+h)=3(2+h)^2+2 \\\\f(a)=14[/tex]

from the first equation we can identify a = 2 and then

[tex]f(x)=3x^2+2[/tex]

to verify that we are correct, we can compute f(2)=3*4+2=14

f'(x)=6x

so f'(2)=12

we can estimate it from the fraction as well

so the limit is 12

Answer:

Equation of the axis of symmetry is:   x = 3

Step-by-step explanation:

The equation

[tex]y=2x^2-12x+21[/tex]

is the equation of a parabola, of the form

[tex]y=ax^2+bx+c[/tex]    whose vertex is located at the x-coordinate:

[tex]x_{vertex}=\frac{-b}{2\,a}[/tex]

Then, for our case the x position of the given parabola, is:

[tex]x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{12}{2\,(2)} \\x_{vertex}=3[/tex]

Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:

x = 3

Answer:

A. 2

Step-by-step explanation:

The common ratio between the terms listed is 2. Each term is being multiplied by 2, so to find the first term, you have to divide the first term listed by 2.

4/2 = 2

Answer:

2

Step-by-step explanation:

The common ratio is

8/4 = 2

Take the second term and divide by the common ratio to get the first term

Take 4 /2 = 2

The first term is 2

Answer:

1/4

Step-by-step explanation:

3/4 + 1/4 = 4/4

Answer:

3/20

Step-by-step explanation:

If 2/5 are girls then to find boys, calculate

1(the whole class) - 2/5 which is 3/5.

Then if 3/4 of the boys are called Paul, that means the remaining 1/4 aren't.

1/4 × 3/5 = 3/20

Answer:

20-39 ⇒ 5

40-59 ⇒ 3

60-79 ⇒ 5

80-99 ⇒ 10

Answer:

20-39: 5

40-59: 3

60-79: 5

80-99: 10

Step-by-step explanation:

If you just added up, you can find all the values.

Answer:

n<5

Step-by-step explanation:

7>2n-3

+3      +3

10>2n

Divide by 2

5>n

Answer:

We can factor this into (5x+12y)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

5m-m-m+3

5m-2m+3

3m+3

Answer: 3m + 3

Explanation: If there's no coefficient in front of the variable, you can give it a coefficient of 1, so the -m can be thought of as -1m.

So our problem can be read as 5m - 1m - 1m + 3.

Now combine like terms.

Since 5m, -1m, and -1m are terms that contain an m, we can combine.

So 5m - 1m - 1m simplifies to 3m.

So our answer is 3m + 3

Answer:x<-18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

-1/2x+3>12

Step 2: Subtract 3 from both sides.

-1/2x+3-3>12-3

-1/2x>9

Step 3: Multiply both sides by 2/(-1).

(2/-1)*(-1/2x)>(2/-1x)*(-1/2x)

X<-18

:D

Answer:

L(f(t)) = [tex]2 \frac{e^{-s} }{s} - \frac{1}{s}[/tex]

Step-by-step explanation:

let f be a function defined for t ≥ 0

we can write the function f(t) in terms of unit function as follows

f(t) = 2 u,(t) - 1  where

      0≤ t < 1

f(t) = (2 * 0) -1 = -1

when t ≥ 1

f(t) = (2*1 )- 1 = 1

Now the Laplace transform L(F(T)) = 2L( u, (t) ) - L(1)  --------equation 1

this is because L(u,(t)) = [tex]\frac{e^{-cs} }{s}[/tex]

c = 1 hence L(1) = 1/s

back to equation 1

L(f(t)) = 2 [tex]\frac{e^{-cs} }{s}[/tex] -  1/s  laplace transform

also L(u(t) ) = [tex]\frac{e^{-s} }{s}[/tex]

Answer:

7940

Step-by-step explanation:

=> 397 * 17 + 397 * 3

=> 6749 + 1191

=> 7940

Answer:

SSbetween treatments

Step-by-step explanation:

SSbetween treatments or Sum of square between treatments is used to measure and compare the mean differences between treatments from which the variance will be computed.

Answer:

the correct answer is

Step-by-step explanation:

So, the probability is:P(greater than 4)=26=13. This is a theoretical probability, which is the observed number of favorable outcomes out of a certain number of trials. For instance, suppose you rolled the six-sided die five times, and got the following results:2,6,4,5,6

hope this help you!!!!!

Answer:

1/5 chance.

Step-by-step explanation:

There is only one number, 5, that is greater than 4 and there are 5 total numbers so there is a 1/5 chance selecting that number.

Answer:

0.327

Step-by-step explanation:

=> [tex]\frac{\sqrt{2}\sqrt{5} -\sqrt{5} }{2\sqrt{2} }[/tex]

Let's put all the givens

=> [tex]\frac{(1.414)(2.236)-(2.236)}{2(1.414)}[/tex]

=> [tex]\frac{3.162-2.236}{2.828}[/tex]

=> [tex]\frac{0.926}{2.828}[/tex]

=> 0.327

Answer:

The area under the standard normal curve to the right of z = 1 is 0.1587.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of x.

Area to the right of z = 1.

1 subtracted by the pvalue of z = 1.

z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

The area under the standard normal curve to the right of z = 1 is 0.1587.

The area under the standard normal curve to the right of the z-score of 1 is 0.1587.

To find the area under the standard normal curve for given z-score, first find out the area under to the left of the z, and then subtract it with 1.

The area under the standard normal curve to the right of z = 1. Follow steps below to find the area under the standard normal curve to the right of z = 1.

Choose the positive z values, as the given z-score of 1 is also positive. In the attached image, the value of z at 1 is 0.8413. Hence, the area at the left is,

[tex]A_l=0.8413[/tex]

The total area under the bell curve is 1. Hence, subtract the above area of left from number 1 to find the area to the right.

[tex]A_r=1-0.8413\\A_r=0.1587[/tex]

Hence, the area under the standard normal curve to the right of the z-score of 1 is 0.1587.

Learn more about the z-score here;

https://brainly.com/question/13299273

Answer:

7.7

Step-by-step explanation:

The area of the wall is 4 * 2 = 8.

The radius of each clock is 0.3 / 2 = 0.15.

The area of all 4 circles is 4 * (πr²) = 4 * 3.14 * 0.15² = 0.3.

8 - 0.3 = 7.7

Answer:

6.9

Step-by-step explanation:

Total area of the wall is 4 x 2 =  8

Area for a circle is π x radius^2

Therefore total area of 4 clocks = 4 (π x 0.3^2)

Which is: 1.13...

Now we take away this answer from the area of the wall:

8 - 1.13... = 6.9 (1 d.p)

Answer:

y = 3x + 5

Have a good day! :)

Answer:

y=2x+4

Step-by-step explanation:

the line has equation like this y=ax+b

x=0  then y=4 so 4=a*0+b so b=4

y=0, then x=-2, 0=a*(-2)+4 so -2a+4=0,-2a=-4, a=2

so the equation of the line is y=2x+4

verify

x=-1, y=2*(-1)+4=-2+4=2 so the equation is correct

Answer:

-45/2 - 12/2 = -57/2

Step-by-step explanation:

Substitute 15 for x in the given equation:  y = (-3/2)x - 6 becomes

y = (-3/2)(15) - 6 = -45/2  -  6 when x = 15.  This is equivalent to -57/2

Answer:

58,21    ≤   μ  ≤   61,79

Step-by-step explanation:

Normal Distribution

Poputation size        n = 41

Population mean         X  = 60

Population standard deviation    σ = 7

Question is: Confidence Interval 90 % ??

As Confidence Interval is 90 %   then  α  = 10 %

And as we are dealing with a two tail test

α/2  = 0,05

We look in Z table for values for  α/2  = 0,05  and find

z(α/2)  =  - 1,64      and    z(α/2) =  1,64

Then

Confidence Interval is

X - Zα/2 * σ/√n   ≤  μ  ≤  X + Zα/2 * σ/√n

60 - ( 1,64 ) * 7/√41  ≤   μ  ≤  60 + ( 1,64 ) * 7/√41

60 -  1,64 * 1,09375   ≤   μ  ≤  60 +  1,64 * 1,09375

60 - 1,79375    ≤   μ  ≤  60 +  1,79375

58,21    ≤   μ  ≤   61,79

Answer:

Step-by-step explanation:

1/2x^2

thats becuase that is the red parabola's equation. I don't know how to explain but I know the answer.

Answer:

8.4 square units

Step-by-step explanation:

See attachment for the figure.

Trigonometric area formula is Area =[tex]\frac{1}{2}\times absin(C)[/tex]

Where a and b are two sides of the triangle and C is the angle between these two sides.

Given:

side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle :

Area = [tex]\frac{1}{2}\times acsin(B)[/tex]

       = [tex]\frac{1}{2}\times acsin(B)[/tex]

       = [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]

       = 6√2×sin80°

       = 6×(1.414)×0.9848

       = 8.36 square units

       ≈ 8.4 square units

Answer:

8.4 square units

Step-by-step explanation:

Just took the quiz

Answer:

  a = -2; b = 5

Step-by-step explanation:

Expanding the right side of the given equation, we have ...

  x^2 -4x +9 = x^2 +2ax +a^2 +b

Comparing coefficients, we see ...

  -4 = 2a . . . . . coefficient of x term

  9 = a^2 +b . . . constant term

The first of these tells us ...

  -2 = a . . . . divide by 2

The second of these tells us ...

  9 = (-2)^2 +b . . . substitute for a

  5 = b . . . . subtract 4

The values of a and b are (a, b) = (-2, 5).

Answer:

a=-2

b=5

Step-by-step explanation:

type this on mathswatch and you will get it right

Answer:

Cost function:

[tex]C(x)=790+2.88x[/tex]

Revenue function

[tex]R(x)=6x[/tex]

Profit function

[tex]P(x)=3.12x-790[/tex]

Dozens needed for a specific profit P

[tex]x=\dfrac{P-790}{3.12}[/tex]

If 150 dozen cookies are sold the profit is negative, so the business is loosing $322.

Step-by-step explanation:

We can list the costs as:

- Fixed monthly cost, $790/month.

- Variable costs, $0.24/cookie, which are (12*0.24) = $2.88 a dozen.

Then, we can write the cost function C(x) as:

[tex]C(x)=790+2.88x[/tex]

being C(x): the monthly cost and x: the number of dozens produced per month.

The revenue can be calculated as the price ($6 a dozen) multiplied by the number of dozens x:

[tex]R(x)=6x[/tex]

The profit can be calculated substracting the total cost C(x) from the revenue R(x).

[tex]P(x)=R(x)-C(x)\\\\P(x)=(6x)-(790+2.88x)=(6-2.88)x-790\\\\P(x)=3.12x-790[/tex]

The number of cookies (in dozens) that must be produced and sold for a monthly profit can be calculated from the previous equation for P(x).

For a monthly profit P, the number of dozens that need to be sold are:

[tex]P=3.12x-790\\\\P+790=3.12x\\\\\\x=\dfrac{P-790}{3.12}[/tex]

If 150 dozen cookies are sold, the profit made is:

[tex]P(150)=3.12(150)-790=468-790=-322[/tex]

The profit is negative, so the business is loosing $322.

Answer:

0.62

Step-by-step explanation:

0.1d+0.01p=1

0.1(6)+0.01(2)=1

0.6+0.02=1

0.62=1

Answer:

The answer is C.

Step-by-step explanation:

Recall SohCahToa, where

[tex]\displaystyle \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}[/tex].

In the triangle, the opposite (to angle θ) is [tex]6[/tex], while the adjacent is [tex]2\sqrt{5}[/tex].

By substitution:

[tex]\displaystyle \tan(\theta)=\frac{6}{2\sqrt5}[/tex]

Simplify:

[tex]\displaystyle \frac{6}{2\sqrt{5} } \cdot\frac{\sqrt{5} }{\sqrt{5}} =\frac{6\sqrt{5}}{2(5)} =\frac{6\sqrt{5}}{10}=\frac{3\sqrt{5} }{5}[/tex]

The answer is C.

Answer:

a) The proportion of the jury described that is from a minority race is 0.15 or 15.38%, both to 2 d.p.

b) The probability that 2 or fewer out of 13 jurors are minorities, assuming that the proportion of the population that are minorities is 48%, is 0.0162

c) Option C is correct.

The lawyer of a defendant from this minority race should argue that

'The number of minorities on the jury is unusually low, given the composition of the population from which it came'.

Step-by-step explanation:

(a) What proportion of the jury described is from a minority race?

Of the 13 jurors, it is given in the question that only 2 of them are from a minority race.

Hence,

The proportion of the jury described that is from a minority race = (2/13) = 0.1538461538 = 0.154

(b) If 13 jurors are randomly selected from a population where 48% are minorities, what is the probability that 2 or fewer jurors will be minorities?

This problem is a binomial distribution problem

If X denotes the number of jurors that are from a minority race amongst the 13 jurors

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of jurors = 13

x = Number of successes required = 2 or fewer jurors = ≤ 2

p = probability of success = probability that a randomly picked member of the population as a juror is from a minority race = 48% = 0.48

q = probability of failure = probability that a randomly picked member of the population as a juror is NOT from a minority race = 1 - p = 1 - 0.48 = 0.52

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= 0.00020325604 + 0.00243907252 + 0.01350870934

= 0.01615103791 = 0.0162 to 4 d.p.

(c) What might the lawyer of a defendant from this minority race argue?

Normally, the distribution of 13 jurors should reflect the population distribution with each race represented according to their population proportion or at least a proportion close to that.

But for this case, the proportion of the population from a minority race (48%) is more than 3 times the proportion of the jurors that are from a minority race (15.38%). This can introduce a very unfair bias in the decision of the jurors, hence, the lawyer of a defendant from this minority race might argue that the number of minorities on the jury is unusually low, given the composition of the population from which it came (less than ⅓).

Hope this Helps!!!

Answer:

2.5

Step-by-step explanation:

In the standard equation y= kx, k is the constant of proportionality.

In this equation, 2.5 is the constant of proportionality

Answer:

The constant of proportionality is 2.5

Step-by-step explanation:

The equation is

y = kx where k is the constant of proportionality

y = 2.5x

The constant of proportionality  is 2.5

Answer: Cosec(A) = 3.64

Step-by-step explanation:

Ok, tenemos un triangulo rectángulo.

Sabemos que B = 90° y que  

tg(C) = 3.5

entonces:

Atg(Tg(C)) = C = Atg(3.5) = 74.05°.

Nosotros también sabemos que la suma de todos los ángulos interiores de un triangulo es igual que 180°

entonces:

A + B + C = 180°

A + 90° + 74.05° = 180°

A = 180° - 90° - 74.05° = 15.95°

Entonces Cosec(A) = Cosec(15.95°) = 1/sin(15.95°) = 3.64