Estimate.
The square root of
0.621 x 7.94
Divided by 0.334

The probability that none of the married women say that child discipline is the biggest point of contention in their marriage is 0.00248.

Let P(X) denote the probability that none of the married women say that child discipline is the biggest point of contention in their marriage.

P(X) = (1 - 0.65)^15  

= (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65) x (1 - 0.65)

= 0.00248

Therefore, the probability that none of the married women say that child discipline is the biggest point of contention in their marriage is 0.00248.

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Answer:

-9,3

Step-by-step explanation:

The range of the function is {3, 7, -9}.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.

The range of the function is,

= the number of value in the y-coordinate.

= {3, 7, -9}

Therefore, {3, 7, -9} is the range.

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There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.

The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).

There is 1 way to put all 5 balls in one box i.e (5,0,0)

(4,1,0): There are 5 choices for the 4 balls in one of the boxes.

(3,2,0): There are 10 choices for the 3 balls in the boxes.

(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.

(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.

Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.

So there are (10×3)/2=15 arrangements of balls as (2,2,1).

Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.

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Answer: 73

Step-by-step explanation:

so i took what the angle was for the 107 and subtracted it from 180 because that's always how I did it i'm not positive if its correct but I think that's how you do it since there all the same angles on the bottom so M and Q match and the two top angles match so I think it would end up being 73 sorry if this isn't to much help.

Answer:

x=-3

Step-by-step explanation:

4214.7 is the balance in the account after 2 months .

What does compound and simple interest mean?

A fixed proportion of the principal amount borrowed or lent is what is known as simple interest and is paid or received over a given period of time.

                                Borrowers are required to pay interest on interest in addition to principal because compound interest accrues and is added to the total amount of interest from earlier periods.

P = $4200

R = 2.1% = 2.1/100 = 0.021  =

     T = 2 month = 2/12 = 1/6

    I = PRT

     = 4200 * 0.021 * 1/6 = 14.7

 Amount = P + I = 4200 + 14.7  = 4214.7

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Answer:

Our answer has to be B because we need to develop an equation to solve for the value of each term in order to find the number pattern.

Step-by-step explanation:

This is a sequence problem.

You need to identify the relationships between the given number pattern.

If we look at -14 and -8, you can clearly see that something is happening.

If we were to do -14+6 that would equal to -8

Then we try the other one like -8 and -2. We can do -8 + 6 = -2

So our sequence/number pattern is that we're increasing by 6.

We could also develop an equation: -14 + x= -8

Our answer has to be B because we need to develop an equation to solve for the value of each term in order to find the number pattern.

The soil will reach about 27 cm up the pot when it fills 75% of the pot's volume.

To determine how far up the pot the soil will reach, we need to first find the volume of the pot, then find 75% of that volume, and finally calculate the height of soil in the pot.
Step 1: Calculate the volume of the pot
The volume of a pyramid can be calculated using the formula V = (1/3) * B * h,

where V is the volume, B is the area of the base, and h is the height.

Since the base is a square with a side length of 36 cm, the area of the base (B) is 36 cm * 36 cm = 1296 cm².

Now, plug the values into the formula:
V = (1/3) * 1296 cm² * 36 cm = 15552 cm³
Step 2: Calculate 75% of the pot's volume
75% of the pot's volume can be calculated as:
Soil volume = 15552 cm³ * 0.75 = 11664 cm³
Step 3: Calculate the height of the soil in the pot
To find the height of the soil, we can use the same formula for the volume of the pyramid, but we will solve for the height\((h_soil)\) this time:
11664 cm³ = (1/3) * 1296 cm² * \(h_soil\)
Solve for h_soil:
\(h_soil\) = (11664 cm³ * 3) / 1296 cm² ≈ 27 cm.

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Answer:

true

Step-by-step explanation

a negative number is less than a positive. so that means that 0 is greater than -3.

Answer:

true

Step-by-step explanation:

Answer:

Your answer would Be A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) can be found by considering the unit circle and the properties of cosine.

Since the cosine function represents the x-coordinate of a point on the unit circle, we can look for the angles where the x-coordinate is -(sqrt2/2).

One such angle is 135 degrees (or 3π/4 radians), where the cosine is equal to -(sqrt2/2). At this angle, the x-coordinate of the corresponding point on the unit circle is -(sqrt2/2).

Another angle with the same x-coordinate is 225 degrees (or 5π/4 radians). At this angle, the cosine is also equal to -(sqrt2/2).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians). These angles satisfy the given equation and have the desired x-coordinate on the unit circle.

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Answer:

-5 or (-5,0)

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The solution is : the equation of the axis of symmetry is  x= -5 or (-5,0).

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

we know that,

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry always passes through the vertex of the parabola .

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

Hence, The solution is : the equation of the axis of symmetry is  x= -5 or (-5,0).

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The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Answer:

The answer is 56.52 .

Step-by-step explanation:

18 multiple 3.14

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Answer:

(3x² + 2y)²

Step-by-step explanation:

Given

9\(x^{4}\) + 12x²y + 4y² ← a perfect square

9\(x^{4}\) = (3x²)² and 4y² = (2y)²

of the form

9\(x^{4}\) + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²

a. y=-2.5x+50

b. slope=-2.5. y-intercept=50

Answer:

slope is -2.5

y-intercept is (0,50)

slope y-intercept is y= -2.5x + 50

Step-by-step explanation:

to find the slope you use rise/run the rise is 5 and the run is -2 which is 5/-2 or -2.5

the y-intercept is where the line hits a perfect point on the y-axis which would be at 50 in your case

y=mx+b

m= slope and b= y-intercept

why is m the slope? because the slope is the unknown variable

hope this helps :) (i tried to explain it as best as i could) have a nice day !!

Answer:

4.06451 hours

note this answer is not rounded as you did not indicate round to what decimal values.

Step-by-step explanation:

Solving using equation

500 ≤ 248 + 62x

500-248 ≤  62x

252 ≤  62x

252/62 ≤  x

4.06451 ≤  x

Another way to solve

500-248= 252

she needs to travel 252 miles

speed = 62mph

note: speed =  distance/time

therefore time= distance/speed

time = 252/62 = 4.06451

Number of hours Sierra needs to travel to meet her goal is 4.065 hours.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Sierra wants to drive at least 500 miles today.

She has already driven 248 miles.

Remaining distance is driving at a constant speed of 62 miles per hour.

Let the time needed for the remaining distance to complete is x.

Speed = Distance / Time

Distance = Speed × Time

Distance = 62x

Total distance covered = 248 + 62x

This must be at least 500.

248 + 62x ≥ 500

62x ≥ 500 - 248

62x ≥ 252

x ≥ 252 / 62

x ≥ 4.065

Hence Sierra has to drive at least 4.065 hours to meet her goal.

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Ans6,2

Step-by-step explanation:

Answer:

its literally 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can do can break the number up so they can be easier to solve like this

100x100  = 1000     100x100=1000   9x100=900

100x100=1000 100x100=1000  100x9=900

4x100=400  4x100=400   4x9=36

1000+1000+900+1000+1000+900+400+400+36= 42636

hopes this helps

In a game of chance, the probability of winning 50 is 40 percent and the probability of having to pay 50 is 60 percent. Therefore, the expected value of this game is -10. The correct answer is option A.

To find out what the expected value of this game is, we will need to use the formula:

Expected value (E) = (probability of winning x amount won) - (probability of losing x amount lost)

Let's substitute the values given in the question:

Probability of winning = 0.4

Amount won = 50

Probability of losing = 0.6

Amount lost = 50

Expected value (E) = (0.4 x 50) - (0.6 x 50)

                               = 20 - 30

                               = -10

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Answer: (0, 1), (2,3), (x,x), (-5,x) (I put x's in for the missing numbers)

Step-by-step explanation: Hope this helps!!

Here is the graph:

The user cost of capital for that machine over one year is \(\$1,700.\)

The user cost of capital represents the economic cost incurred by a company for using a machine or capital asset. It takes into account both the opportunity cost of the capital invested and the depreciation of the asset over time.

In this scenario, the machine initially costs \(\$10,000\) in constant dollars, which means it is the real price adjusted for inflation. The real rate of interest is given as \(12\%\), which represents the cost of borrowing or the opportunity cost of using the capital for other investments.

The machine is expected to increase in price by \(2\%\) due to inflation, and the rate of depreciation is \(5\%\) which represents the decrease in the value of the machine over time.

To calculate the user cost of capital over one year, we add the real rate of interest and the rate of depreciation, and multiply it by the initial machine value:

\(User cost of capital = (0.12 + 0.05) * \$10,000 = 0.17 * \$10,000 = \$1,700\)

Therefore, the user cost of capital for that machine over one year is \(\$1,700.\)

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Answer:

Find the area of the triangle side, then multiply by the length of the prism.Area of triangle = 1/2 x height x baseArea  = 1/2 x 2 x 3 = 3 square cmVolume = 3 x 4 = 12 cubic cm.Answer is A)

Step-by-step explanation:

From the given graph, we have two inequalities which are represented by the blue and the red region on the graph.

Furthermore, we can also a purple region where both the red and the blue region overlaps. The purple region represents the intersection between the two regions(red and blue), which denotes the solution of the graph.

Hence, from the option given we can deduce that Option D, which is

(-4,0) is the correct solution to the graph because it falls in the purple region.

The solution to the graph,

Answer:

1/3

Step-by-step explanation:

total is 1.

Left = 1 - 2/3

       = 1/3

Answer:

I think it's B) Alloy X