) Professor Jin wants to travel from place A to place B without a map. There are four ways lead away from place A. If road I is selected, the probability of arriving place B is 1/8; if road II is selected, the probability of arriving place B is 1/6; if road III is selected, the probability of arriving place B is 1/4; and if road IV is selected,the probability of arriving place B is 9/10. (a) What is the probability that professor will arrive at place B

Answer:

17

Step-by-step explanation:

Because 10+5=15+2=17

Answer:

(-inf,-10] U [-6,inf)

Step-by-step explanation:

separate into possible cases

q+8≥2, q+8≥0

-(q+8)≥2, q+8<0

solve inequalities

x≥-6, x≥-8

x≤-10, x<-8.

Answer: y=4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

8y+10−10=42−10

8y=32

Step 2: Divide both sides by 8.

8y

8

=

32

8

y=4

Answer:

8y + 10 =42

8y = 42-10

8y = 32

8y/8 = 32/8

y = 4

Answer:

Commutative Property

Step-by-step explanation:

Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.

Additive Inverse: When you add the same number but reversed sign, you get 0.

Commutative Property: a + b = b + a

Addition distributive property: a(b+ c) = ab + ac.

In this case, we use the commutative property:

27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.

We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.

Answer:

Communitive

Step-by-step explanation:

Answer:

2,-2

Step-by-step explanation:

firsr number = x

second number = 2x-6

x+2x-6=0

3x-6=0

3x=6

x=2

first number=x=2

second number=2x-6=-2

Answer:

12345

Step-by-step explanation:

Answer:

2hours and 30minutes

Step-by-step explanation:

6mph for 5 miles, would be 10 minutes per mile(in an hour because of 60). Only five were completed to itd take 50 minutes. 3mph for 5hours would take 1hr and 40 minutes because 3miles would take 1 hour which would make one mile take 20 minutes so you add the two twenties(for the last two miles) to get 40. Then u add them together. (50min+60min+40min)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following instructions :

Choose 4 numbers from the whole numbers 0 - 10

Note : Repetition is allowed

Choose 4 numbers with the smallest possible standard deviation.

The smallest possible value of standard deviation obtainable is 0;

Hence in other to obtain a standard deviation value of 0, then;

The mean squared deviation value must be zero (0)

Σ(X - mean)^2 = 0

To achieve this, the values of X and the mean must be the same.

Hence all 4 numbers (X) must be the same in other to have a mean value which is equal to X

For instance :

If X = 3, 3, 3, 3 (since Repetition is allowed)

Man value = (3+ 3+ 3+ 3) / 4 = 12 / 4 = 3

Σ(3 - 3)² = 0 for all values of x

√Σ(x - mean)² / n = 0 ; if all values of x are the Same

n = Number of observations

A possible list of values is (3,3,3,3)

Answer: x=12

Step-by-step explanation:

5x=4x+12

move all terms containing x to the left side of the equation

subtract 4 from 5

1x=12

x=12

Answer:

The correct answer is A) $105

Step-by-step explanation:

In this real-world problem,  the cost to groom both dogs is (the puppy) + (the adult dog) = x.

For the first step, y = 40, if x <= 25.

y = 50, if 25 < x < 50.

if x >= 50, then y = 0.50x + 25

So therefore, substitute the puppy + adult dog = x

25 + 80 = x

105 = x

So, the final answer is $105.

It's on Edgen.

Answer:

A) 105

Step-by-step explanation:

Edg Brainliest

Answer:

  27x³y³z³

Step-by-step explanation:

The volume of a cube is the cube of the edge length:

  V = (3xyz)³ = 3³x³y³z³

  V = 27x³y³z³

Step-by-step explanation:

Sales tax = $7.65

Explanation:

To find the sales tax, you would find 9% of $85

$85×9÷100 (You can reduce 85 and 100 because they have a common factor of 5)

$17×9÷20 (Multiply 9×17)

153÷20 = $7.65

Answer:

7.65

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

subtract 122 from 180

the ans of your above questions is 58°

Answer:

y = 3x-5

Step-by-step explanation:

[tex](-1,-8) = (x_1,y_1) \\ m = 3[/tex]

Substitute values into point slope form

[tex]y - y_1 = m(x - x_1) \\ y - ( - 8)) = 3(x - ( - 1)) \\ y + 8 = 3(x + 1) \\ y + 8 = 3x + 3[/tex]

[tex]y = 3x + 3 - 8 \\ y = 3x - 5[/tex]

Answer:

y=3x-5

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope and (x₁, y₁) is the point.

The slope is 3 and the point given is (-1,-8). Therefore,

[tex]m=3 \\x_{1} =-1\\y_{1}=-8[/tex]

Substitute the values into the formula.

[tex]y-y_{1}=m(x-x_{1})[/tex]

[tex]y--8=3(x- -1)[/tex]

Simplify the signs. Two negative signs become a positive sign.

[tex]y+8=3(x+1)[/tex]

Distribute the 3. Multiply each term inside the parentheses by 3.

[tex]y+8= (3*x)+(3*1)[/tex]

[tex]y+8=3x+3[/tex]

We want to find the equation in slope-intercept form: y=mx+b. Therefore, we must isolate y. 8 is being added to y. The inverse of addition is subtraction. Subtract 8 from both sides.

[tex]y+8-8=3x+3-8[/tex]

[tex]y=3x+3-8[/tex]

[tex]y=3x-5[/tex]

The equation of the line is y=3x-5 ⇒ m= 3, b= -5

Answer:

-2366

Step-by-step explanation:

Given

2011 Attendance = 49,552

2012 Attendance = 47,186

Required

Determine the integer that represents the change

Calculate the difference between both attendance

[tex]Change = 2011\ Attendance - 2012\ Attendance[/tex]

[tex]Change = 49552 - 47186[/tex]

[tex]Change = -2366[/tex]

Calculating the difference, we have -2366

Conclusively; the integer that represents the change is -2366

Answer:

g = 2H/(m + r)

Step-by-step explanation:

mg + rg = 2H

g(m + r) = 2H

(g(m + r))/(m + r) = 2H/(m + r)

g = 2H/(m + r)

The required solution of the algebraic expression for g is 2h / (m + r ).

Given that,
To simplify the algebraic expression mg+rg=2H for g,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
the given algebraic expression is,
mg + rg = 2h
taking g common on left side,
g(m + r) = 2h
transposition of the term (m + r) to the denominator of the right-hand side,
g = 2h / (m + r)
The above expression is the required solution for the g.

Thus, the required solution of the algebraic expression for g is 2h / (m + r ).

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

z>-9

Step-by-step explanation:

Answer: z > -9

Step-by-step explanation:

[tex]\frac{-2z-3}{3} < 5[/tex]     multiply each side by 3  to get  

-2z -3 < 15    now add  3 to both sides

      +3   +3

-2z < 18    Divide both sides by -2. Since your dividing by a negative number the inequality sign will change

z> -9

Answer:

47 degrees

Step-by-step explanation:

The two angles shown are "vertical angles" and thus are equal.

Thus, 2x + 3 = x + 50

Combining like terms, we get:

x = 47 degrees

Answer:

>0.95

Step-by-step explanation:

This probably refers to a normal distribution. In a normal distribution, according to the empirical rule,

68% of observed data falls within 1 standard deviation of the mean

95% falls within 2 standard deviations of the mean

99.7% falls within 3 standard deviations of the mean

In this case, the observed data is distance and the average figure for all observed distances is the mean distance.

So, the probability that a/any distance observed exceeds the mean distance by more than 2 standard deviations is >95%

In other words, the probability is >0.95

Answer:

0

Step-by-step explanation:

Answer:

[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]

Step-by-step explanation:

Given that:

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz[/tex]

where;

the top vertex = (0,0,1) and the  base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)

As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz[/tex]

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz[/tex]

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}[/tex]

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz[/tex]

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz[/tex]

[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0[/tex]

[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]

Step-by-step explanation:

We need to write the given expression in the form of [tex]7^n[/tex] and the expression is [tex](7^3)^3[/tex].

The property is : [tex](x^n)^m=x^{nm}[/tex]

We have, x = 7, n = m = 3

So,

[tex](7^3)^3=7^{3\times 3}\\\\=7^9[/tex]

Therefore, the value of n is 9.

Answer:

A/( 1+rt) = P

Step-by-step explanation:

A = P ( 1+rt)

Divide each side by ( 1+rt)

A/( 1+rt) = P ( 1+rt)/(1+rt)

A/( 1+rt) = P

Answer:

Step-by-step explanation:

If n=1 then 32n+7=16=2(8) so true when n=1

Assume true for n=k so

8|32k+7

If n=k+1

32(k+1)+7

32k+2+7

If 32n+7 is divisble by 8 then 32n+7=8A where A∈Z, and thus 32k+2+7=8B where B∈Z

32×32k+7

32×(8A)=72A

72A=8(9A)=9B

So by induction 32n+7 is divisibe by 8 ∀n∈N

Answer:

x>-12

Step-by-step explanation:

first you would simplify by multiplying -7 from the terms in the parenthesis and then you would get [tex]\frac{5x}{6} +3>\frac{-7x}{6} -21[/tex] then you would add 21 to both sides to get rid of the -21 and you would get [tex]\frac{5x}{6} +24>\frac{-7x}{6}[/tex] then you would subtract 5/6 from both sides to get rid of the 5/6 so you get 24>[tex]\frac{-12x}{6}[/tex] and then you would simplify by multiplying 6 to both sides so you get 144>-12x then you would divide both sides by -12 (note that you have to flip the greater than or less then sign after dividing by a negative number) so you get -12<x or x>-12

Answer:

$606.41

Step-by-step explanation:

1504 W * (1 kW)/(1000 W) * 0.14 $/(kW*h) * 4 months * (30 days)/(month) * (24 hours)/day =

= $606.41

Answer:

The null hypothesis gets rejected for the p-value of 0.04 and 0.042.

Step-by-step explanation:

We are given the level of significance of [tex]\alpha[/tex] = 0.01 or 1%. And also we are provided with the different p-values.

As we know that; the decision rule for rejecting the null hypothesis is given by;

(i) The P-value given is 0.002.

Here, the P-value is less than the level of significance as 0.002 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.

(ii) The P-value given is 0.009.

Here, the P-value is less than the level of significance as 0.009 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.

(iii) The P-value given is 0.04.

Here, the P-value is more than the level of significance as 0.04 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.

(iv) The P-value given is 0.042.

Here, the P-value is more than the level of significance as 0.042 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.

Answer:

13.63 miles per hour

Step-by-step explanation:

100 yards / 15 sec  converted to miles per hour

100 yards x 60 sec   x   60 min   x   1 mile        =  13.63 miles/hr

   15 sec        1 min          1 hr           1760 yards

the mistake on Mrs Dukes is the conversion from miles to yards.

1 mile = 1760 yards NOT 5280 yards