if 2 log x + 3 log y = 0, find y in terms of x.​

Answer:

Explained below.

Step-by-step explanation:

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(a)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

                                                    = P (R₁) + P (R₂) - P (R₁ ∩ R₂)

                                                    = 0.35 + 0.45 - 0.20

                                                    = 0.60

Thus, the probability that at least one light will be red is 0.60.

(b)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

                [tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.

(c)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are not independent.

(d)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are not mutually exclusive.

Answer:  2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

Answer:

a= 2

b=4

c=3

d=2

e=3

Step-by-step explanation:

i hope this helps.

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[tex] = (x + 5)(x + 4)[/tex]

[tex] = {x}^{2} + 4x + 5x + 20[/tex]

[tex] = {x}^{2} + 9x + 20[/tex]

Answer:

A

Step-by-step explanation:

The decimal equivalent of 7% is, C. 0.07.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

We know, Percentages and decimals are related to each other.

Decimals can be converted into percentages by multiplying them by 100

and vice versa.

Given, We have to find the decimal equivalent of 7%.

The decimal equivalent of 7% is,

= 7/100.

= 0.07.

Q. Which of the following is equal to 7%?

A. 7.

B. 0.7.

C. 0.07.

D. 7%.

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Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

Answer:

10 miles

Step-by-step explanation:

You add 2+3+2+3 which equals 10. The information about him running a mile in 6 minutes is completely irrelevant, they did that to confuse you.

Answer:

The decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  54

    The sample mean is  [tex]\= x  =  97.4[/tex]

    The standard deviation is  [tex]s = 18.0[/tex]

     The population mean is  [tex]\mu  =  100[/tex]

     The critical value  is  [tex]t_{critical } =  2.0[/tex]

Generally the test statistics is mathematically represented as  

       [tex]t =  \frac{\= x - \mu}{\frac{s}{\sqrt{n} } }[/tex]

=>    [tex]t =  \frac{ 97.4  - 100}{\frac{ 18}{\sqrt{54} } }[/tex]

=>    [tex]t =-1.062[/tex]

Comparing the obtained t statistics with the critical value we see that

   The  critical value is not within the region of rejection (i.e -1.062 to 1.062  )

Hence the decision rule is  

  Fail to reject the null hypothesis

The conclusion is

   The no sufficient evidence to conclude  that the average  BMDI score is different from the general population

Answer:

z= 168

Step-by-step explanation:

proportion zinc to copper = 4/17

4/17 = z/ 714

17 • z = 4 • 714

17 • z = 2856

z= 2856/17

z = 168

Answer:

60

Step-by-step explanation:

I think the answer is -51

Answer:

Domain=All Real Numbers Range=y>2

Step-by-step explanation:

Since the graph expands infinitely across the x axis it is all real numbers

Since the Y covers all the numbers above 2 it is y>2

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

Answer:

if those lines are parallel, then the m∠ = 92°

Step-by-step explanation:

The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.

Answer:

The plot coordinates are (3,3).

Step-by-step explanation:

Given:

A function f(x) and its inverse is f-1(x)

To find :

The plot of the coordinates for the intersection.

Solution:

Now we know that inverse function is changing the y=f(x) and then

changing to x to y and y to x

So given function is f(x)

Inverse function is y,

But value of inverse function is f-1(x)

So y=f(x)=f-1(x)

Therefore it becomes

y=x

Hence the value is y=x coordinates

Answer:

25.84 divide by 4 Is 6.46.

$30

Work: 45+20=65

          65-35=30

Answer:

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu  =  \$ 356[/tex]

    The sample  size is n  =  30  

     The sample mean is [tex]\= x = \$340[/tex]

    The standard deviation is  [tex]\sigma =  \$ 90[/tex]

    The  null hypothesis is [tex]H_o  :  \mu =  \$ 35 6[/tex]

     The alternative hypothesis is   [tex]H_a  :  \mu \ne  \$ 35 6[/tex]

Let assume the significance level is [tex]\alpha = 0.05[/tex]

Generally the test statistic is mathematically represented as

     [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>  [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]

=>  [tex]t =-0.9737 [/tex]

Generally the sample size from the question is  small that it is not greater than 30  hence we use t-test

Now the degree of freedom is mathematically represented as

     [tex]df =  n- 1[/tex]

=>   [tex]df =  30- 1[/tex]

=>   [tex]df= 29[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value =  2 P (t >  -0.9737 )[/tex]

Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of  [tex]df= 29[/tex] for a two -tailed  test  is

     [tex]P (t >  -0.9737 ) =  0.33825793[/tex]

Hence p-value  is  

     [tex]p-value =  2*0.33825793[/tex]

      [tex]p-value =  0.676 [/tex]

From the value we obtained we see that  [tex]p-value  >  \alpha[/tex] hence

The decision rule is

   Fail to reject the null hypothesis

The conclusion is  

     There is sufficient evidence to conclude that the justification against Mr. Jones appears not  to be justified

Answer:

45 with a remainder of 27.

Step-by-step explanation:

Hope this helps you! Good luck! <3

Answer:

Monthly salary = $3450

Step-by-step explanation:

In this problem, it is given that, Maria gets 15% of  everything she sells. If Maria sold $23,000  worth of items this  month, we need to find her salary for the month.

It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.

ATQ,

[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]

Hence, her salary for the month is $3450.

Salary of Maria for the month is $3,450

Given that;

Amount of item sold by Maria = $23,000

Percentage of commission = 15%

Find:

Salary of Maria for the month

Computation:

Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission

Salary of Maria for the month = $23,000 × 15%

Salary of Maria for the month = $3,450

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Answer:

34,138 to the nearest thousand is 34,000!

Step-by-step explanation:

Hope this helps! Good luck! <3

Answer:

0

Step-by-step explanation:

Answer:answer is b

Step-by-step explanation: Just makes since

Answer:

yes

Step-by-step explanation:

An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

Let's take a right angled triangle ΔABC.

Let C be the right angle in this triangle.

Then AB will be the longest side of the triangle, which is the hypotenuse.

Median of a triangle is the line segment joining the vertex to the midpoint  of the opposite side of the triangle.

Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.

Then there are two triangles formed ΔAPC and ΔBPC.

AP = BP since P is the midpoint of AB.

PC = PC is the common side for both triangles.

So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.

Hence any right triangle can be partitioned into two isosceles triangles this way.

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Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

Answer:

312 $

Step-by-step explanation:

468 / 12 = 39 bags

8 x 39 = 312 $

so the answer is 312$

Answer:

maybe 3, 6, 9, 12, 15, 18?

Step-by-step explanation:

sorry if this doesn't help but I hope someone else can help you! good luck

Answer:

always

Step-by-step explanation:

Answer:

C. An increase of 20%

Step-by-step explanation:

50/100 = 60/x

Cross products

50 x  =  6000

Divide 50 by both sides

x  =  120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc