you roll a 6-sided die two times. what is the probability of rolling a 6 and then rolling a 4

Answer:

35/100

Step-by-step explanation:

P(green or black) = 3/20 + 4/20 = 7/20

7/20 = 35/100

Answer:

35 times

Step-by-step explanation:

all of them added together is 20 7/20 7x5=35 because 20 goes into 100 5 times

Factoring x4-7x2-9

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 .

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8 -3 + 3 = 0

Factoring x4-7x2-9 The first term is, x4 its coefficient is 1 .The middle term is, -7x2 its coefficient is -7 .The last term, "the constant", is -9 Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9 Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -7 . -9 + 1 = -8 -3 + 3 = 0 -1 + 9 = 8

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Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

Answer:

It will last 18 days.

Step-by-step explanation:

Answer:

its 18 days

Step-by-step explanation:

what i did was divide 42 divided by 2

then i added 21 1/3 and got 18

Answer: 4 1/8

Step-by-step explanation:

1 6/8 + 2 3/8 = 33/8 = 4 1/8

Answer:

4 1/8

Step-by-step explanation:

first turn the fractions into improper fractions...

so 1 6/8 = 14/8

and 2 3/8 = 19/8

then add together.. 14/8+19/8=33/8

change into a mixed number = 4 1/8

or

do 1+2=3

and 6/8+3/8=9/8=1 1/8

and add the two values together... 3+ 1 1/8 = 4 1/8

To find the length of the diagonal fence that stretches from one corner to the opposite corner of a rectangle, we can use the Pythagorean theorem, which states that the square of the length of the diagonal (hypotenuse) is equal to the sum of the squares of the lengths of the two other sides (legs) of the rectangle.

In this case, the rectangle has dimensions 24 meters by 45 meters. Therefore, the length of the diagonal fence is:

Diagonal fence = √(24^2 + 45^2) meters

Simplifying the equation, we get:

Diagonal fence = √(576 + 2025) meters

Diagonal fence = √2601 meters

Diagonal fence = 51 meters

So Steve will need 51 meters of fencing to stretch diagonally from one corner to the opposite corner of his backyard.

We can conclude that the marketing manager's claim is true.

To determine whether the marketing manager's claim is true, we need to conduct a hypothesis test.

Let p be the proportion of all children aged 8-12 who have cell phones. The marketing manager claims that p > 0.5, while the national consumers group survey found that 39/54 or p' = 0.722 have cell phones.

The null hypothesis is that the true proportion of children with cell phones is less than or equal to 0.5:

H0: p ≤ 0.5

The alternative hypothesis is that the true proportion of children with cell phones is greater than 0.5:

Ha: p > 0.5

We will conduct a one-tailed hypothesis test with a level of significance of 0.05.

Under the null hypothesis, the sample proportion follows a binomial distribution with parameters n = 54 and p = 0.5. The standard error of the sample proportion is given by:

SE = √[p(1-p)/n] = √[0.5(1-0.5)/54] = 0.070

The test statistic is calculated as:

z = (p' - p) / SE = (0.722 - 0.5) / 0.070 = 3.14

The critical value for a one-tailed test with a level of significance of 0.05 is 1.645, using the standard normal distribution table.

Since the test statistic (z = 3.14) is greater than the critical value (1.645), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than half of the children aged 8-12 have cell phones.

Therefore, we can conclude that the marketing manager's claim is supported by the data from the survey.

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Answer:

value of? please include whole question

Answer:

30 first-class tickets were sold and 260 coach tickets were sold.

Step-by-step explanation:

Let a first-class ticket be represented by f and let a coach ticket be represented by c.

On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:

\(f+c=290\)

The total income was $95,280. Therefore:

\(680f+288c=95280\)

We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:

\(85f+36c=11910\)

From the first equation, we can subtract f from both sides:

\(c=290-f\)

Substitute:

\(85f+36(290-f)=11910\)

Distribute:

\(85f+10440-36f=11910\)

Simplify:

\(49f=1470\)

So:

\(f=30\)

From the previous equation:

\(c=290-f\)

Substitute:

\(c=290-30=260\)

30 first-class tickets were sold and 260 coach tickets were sold.

The solution to the equation is x = 27

From the question, we have the following parameters that can be used in our computation:

√2x+10 -6=2

Add 6 to both sides of the equation

This gives

√2x+10 = 8

Square both sides

So, we have the following representation

2x + 10 = 64

Subtract 10 from both sides

2x = 54

Divide by 2

x = 27

Hence, the solution is 27

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In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

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Answer:  D) CPCTC

Step-by-step explanation:

step 6 proves the triangles are congruent.

step 7 states that if the triangles are congruent, then parts of the triangle are congruent.

Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Answer:

280

Step-by-step explanation:

\(\frac{5}{8} *x = 175\\\\ \frac{x}{8}=35\\ x=35*8=280\)

The number is 280.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the number be x.

According to the given question.

\(\frac{5}{8}\) of number is 175.

The linear equation in one variable of the above statement is given by

\(\frac{5}{8}(x) = 175\)

Solve the above linear equation in one variable for x.

\(\frac{5}{8} x = 175\)

⇒ \(5x = 175(8)\)             ( multiplying both the sides by 8)

⇒ \(5x = 1400\)

⇒ \(x = \frac{1400}{5}\)               ( dividing both the sides by 5)

⇒ \(x =280\)

Hence, the number is 280.

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Solution:

Given:

The radius and tangent to a circle at the point of intersection are perpendicular to each other.

Hence, considering the right triangle;

Hence, the length of the missing side can be gotten using the Pythagorean theorem.

Therefore, to the nearest tenth, the length of the missing side is 6.3

okay so angle 1 will be 90 degree

angle 2 will be 45

and DB will be = 26

Answer:

10. Angle 1 is 90 degrees

11. Angle 2 is 45 degrees

12. DB = 2AE

     DB = 2(13)

     DB = 26

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

x + y = −3

y = 2x + 2

Substitute the y value of the second equation into the top equation

x + 2x + 2 = - 3

3x + 2 = - 3

3x = -3 -2

3x = - 5

x = -5/3

x + y = - 3

-5/3 + y = - 3

y = -3 + 5/3

y = -1 1/3

h

0

2

4

6

1 = 1/2(0) + 1

2 = 1/2(2) + 1

3 = 1/2(4) + 1

4 = 1/2(6) + 1

hope this helps!

the probability that the average time of 16 reviews will take Yoonie from 3.5 to 4.25 hours is approximately 0.7977 or 79.77%, rounded to three decimal places.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means is approximately normal for large sample sizes.

The mean time it takes Yoonie to review an employee is 4 hours, and the standard deviation is 1.2 hours. Since we are interested in the average time of 16 reviews, we need to calculate the standard error of the mean (SEM), which is equal to the population standard deviation divided by the square root of the sample size. Therefore:

SEM = 1.2 / √16 = 0.3 hours

Next, we need to standardize the distribution to a standard normal distribution using the z-score formula:

z = (x - μ) / SEM

where x is the upper limit of 4.25 hours, μ is the mean of 4 hours, and SEM is 0.3 hours.

z = (4.25 - 4) / 0.3 = 0.83

Using a standard normal distribution table or calculator, we find that the probability of z being less than or equal to 0.83 is 0.7977.

Therefore, the probability that the average time of 16 reviews will take Yoonie from 3.5 to 4.25 hours is approximately 0.7977 or 79.77%, rounded to three decimal places.

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Answer:

The second choice is correct.

Step-by-step explanation:

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

The second choice that is B≥ C is correct.

The basics of this question requires us to read the number line perfectly

As we go right on the number line, we are getting to larger and larger values.

D is greater than C because it is to the right of C, so the first choice is not correct.

The third choice is showing absolute value.  This is saying that the letters C and D are both the same distance from zero. They are not.

The last choice says that A is to the right of B and it is not.

Thus option 2) is correct

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As you can see in the given data, each output is 3 times each input:

Then

ANSWER

EXPLANATION

To get to the denominator we need, we have to

Answer:

B(-5, 1)

Step-by-step explanation:

We can test each value in the equation and see if the equation works out.

\(y > |x| - 6\)

Let’s try A - (-1, -5).

\(-5 > |-1|-6\\\\-5 > 1-6\\-5>-5\)

-5 is NOT greater than -5, it is equal so A doesn’t work.

Let’s try B, (-5, 1).

\(1 > |-5| -6\\1 > 5-6\\1 > -1\)

1 IS greater than -1, so B works.

Let’s try C for fun.

\(-1 > |5| -6\\-1 > 5-6\\-1 > -1\)

-1 is NOT greater than -1, it is equal, so it doesn’t work.

Hope this helped!

Answer:

B(-5,1)

Let us simply just write this in all scenarios.

A(-1,-5)

-5>|-1|-6

-5>-5

(False)

B(-5,1)

1>|-5|-6

1>-1

(True)

C(5, -1)

-1>|5|-6

-1>-1

False

Answer:

  50 ft by 25 ft . . . . . 50 ft parallel to the barn

Step-by-step explanation:

You want the dimensions of the largest rectangular area that can be enclosed using 100 ft of fence for three sides.

If the dimensions of the space are L feet in length and W feet in width, where L is parallel to the barn, the length of the perimeter fence is ...

  P = L +2W

Solving for W gives ...

  W = (P -L)/2

The area of the enclosed space is ...

  A = LW

  A = L(P -L)/2 . . . . . substitute for W

The area formula is the equation for a parabola that opens downward. It has zeros at L=0 and at L=P. The vertex (maximum) is found at the value of L that lies on the line of symmetry, halfway between these zeros. If we call that length M, then we have ...

  M = (0 +P)/2 = P/2

The length of enclosure that maximizes the area is 1/2 the length of the available fence.

The width is ...

  W = (P -P/2)/2 = P/4

The width of the enclosure that maximizes the area is 1/4 the length of the available fence.

Using 100 feet of fence, the dimensions are ...

__

Additional comment

Note that we have solved this in a generic way. The solution given is the general solution to the 3-sided enclosure problem.

This is a special case of the general rectangular enclosure problem which has the solution that the total cost in one direction is equal to the total cost in the orthogonal direction. This rule applies even when costs are different for the different sides or for any partitions that might divide the enclosure.

Here the "cost" is simply the length of the fence. The 50 ft of fence parallel to the barn is equal in length to the 25 +25 ft of fence perpendicular to the barn.

The dimensions that give the maximum area inside the rectangle are x = 50 feet (parallel to the barn wall) and y = 25 feet (perpendicular to the barn wall).

To maximize the area of the rectangular fence, follow these steps:

1. Let's assign variables to the dimensions: let the length of the rectangle parallel to the barn wall be x feet, and the length perpendicular to the barn wall be y feet.

2. We are given that 100 feet of fence will be used for the other three sides. This means the fencing equation is:

x + 2y = 100.

3. Solve for x:  x = 100 - 2y.

4. The area A of the rectangle is given by the product of its dimensions: A = xy.

5. Substitute the expression for x from step 3 into the area formula:  A = (100 - 2y)y.

6. Expand the expression: A = 100y - 2y^2.

7. To maximize the area, we need to find the maximum value of the quadratic function A(y). Since the coefficient of the y^2 term is negative, the graph of A(y) is a downward-opening parabola, which means it has a maximum value.

8. To find the maximum, we'll use the vertex formula for parabolas: y_vertex = -b/(2a), where a = -2 and b = 100. Plugging in these values, we get y_vertex = -100/(2 * -2) = 25.

9. Substitute the value of y_vertex back into the equation for x: x = 100 - 2(25) = 50.

10. So the dimensions that give the maximum area inside the rectangle are x = 50 feet (parallel to the barn wall) and y = 25 feet (perpendicular to the barn wall).

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Answer:

85 adult tickets

150 children tickets

Step-by-step explanation:

we can write a system of equations and then use the 'elimination method':

let a = adult tickets

let c = children tickets

a + c = 235

5a + 2c = 725

we can multiply the first equation by -5 to get:

-5a - 5c = -1175

now we can add the second equation to get:

5a + 2c = 725

-3c = -450

c = 150

a + 150 = 235

a = 85

Using the sine ratio, the length of the missing side is: 11.8.

The sine ratio is, sin ∅ = opposite/hypotenuse.

Given the following:

∅ = 24°

Opposite = x

Hypotenuse = 29

sin 24 = x/29

x = (sin 24)(29)

x = 11.8

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