If you were to roll the
dice two times what is the
probability it will land on a
3 both times?

Answer:

D

Step-by-step explanation:

used guess-and-check and (1,5) is the only ordered pair that made each inequality true

The interest rate of the account is 2%

From the question, we are to determine the interest rate of the account

From the compound interest formula, we have that

A = P(1 + r/n)^{nt}

Where A is the amount

P is the principal

r is the rate

n is the number of times compounded

t is the time in years

From the given information,

A = $1,325.71

P = $1,130

n = 6

t = 8 years

Thus,

1325.71 = 1130(1 + r/6)⁶⁽⁸⁾

1325.71 = 1130( 1 + r/6)⁴⁸

1325.71/1130 = ( 1 + r/6)⁴⁸

Take the 48th root of both sides

1.003333 = 1 + r/6

1.003333 - 1 = r/6

0.003333 = r/6

r = 6 × 0.003333

r = 0.019998

r ≈ 0.02

r ≈ 2%

Hence, the interest rate of the account is 2%.

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: RVN

Step-by-step explanation:

Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

By that - the bottom angle RVN can be an example of corresponding angles.

Please give brainliest!

Answer:

∠ RVN

Step-by-step explanation:

∠ PUV and ∠ RVN are corresponding angles.

Each is in the same position (lower left hand corner ) in its group of 4 angles.

Answer:

\(x = 2, 12\)

Your correct answer is D, since I don't see a -12.

Step 1: Subtracting 2 from both sides

Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.

\(x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0\)

Step 2: Factoring the equation

Part 1

After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:

\(x^2-10x-24\\\)

First, we find the multiples of the first term, \(x^2\\\), and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of \(1x^2\), which is \(1x\) and \(1x\), or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):

\(-6 * 4=-24\\\)

But:

\(4-6\neq 10\\\)

So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.

\(-12*2=-24\\2-12=-10\)

Part 2

With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.

\((x,?)(x,?)\)

Now, we place -12 and 2 in those places.

\((x,-12)(x,2)\)

To find x, we have to plug in the equal sign and 0 from the beginning.

\((x,-12)(x,2)=0\)

Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.

To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.

x - 12 = 0

12 - 12 = 0

x - 2 = 0

2 - 2 = 0

12 and 2 are our solutions! Hope this helps :)

Answer:

12  and 2

Step-by-step explanation:

factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

Answer:

401.92

Step-by-step explanation:

3.14*64*2

Answer:

Step-by-step explanation:

Answer:

I'm gonna give the steps. you can calculate

Step-by-step explanation:

a squared + b squared = c squared

15 squared + b squared = 17 squared

then find the value of b squared

225 + b squared = 289

subtract 225 on both sides

b squared = 64

b = 8

I'm not very sure but I hope you get the idea

The amount of land the railroad companies received for each mile of track they laid varied depending on the specific circumstances and agreements.

However, a common benchmark used during the construction of railroads in the United States was the granting of land through the Homestead Act of 1862. Under this act, railroad companies were granted approximately 6,400 acres (10 square miles) of land for every mile of track laid. This land was typically located alongside the tracks and served as an incentive for the companies to expand and develop the rail network across the country.

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Answer:

f(x) = - 2 (x + 2)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 2, 6), thus

y = a(x - (- 2))² + 6, that is

y = a(x + 2)² + 6

To find a substitute the point (0, - 2) into the equation

- 2 = a(0 + 2)² + 6 ( subtract 6 from both sides )

- 8 = 4a ( divide both sides by 4 )

- 2 = a

f(x) = - 2(x + 2)² + 6 ← in vertex form

Answer:

yes of course it was a question about the same as you can use it for a while now I am with you forever

Answer:

y > 2

Step-by-step explanation:

a double negative is basically a + sign, so its y + 5> 7, and we want Y alone so we subract 5 from 7 to get Y > 2

Answer:

\(y < 2\)

Step-by-step explanation:

\(\begin{aligned}y-(-5)+(-5)&< 7+(-5)\\y& <7-5\\y&< 2\\\text{or}\\y-(-5) &= y+5\\\therefore\,y+5& <7\\y+5-5 &<7-5\\y&<2\end{aligned}\)

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

The answer is that she will get 750 dollars

Step-by-step explanation:

alr so 1/4 of the money is 500 so to get the whole amount u multiply by 4 to get 2000 then divide that bye 8 to get 1/8 of the money and multiply it by 3 to get 3/8's. So simple.

Answer:

The mother will get:

$750

When the father recieved $500

Except it would help if new CERTAIN amount of Mr. Lee's money.

Your welcome!

Step-by-step explanation:

No need to explain right answers! lol

Have a great week!

Thank you and your welcome!

~BYE HAPPY HELPER~

The probability that a randomly selected adult weighs between 120 and 165 lbs is approximately 0.8186.

Since the weights of adults are normally distributed with a mean of 140 lbs and a standard deviation of 25 lbs, we can use the standard normal distribution to calculate the probability.

We first need to standardize the values using the formula: z = (x - μ) / σ, where x is the weight, μ is the mean, and σ is the standard deviation.

For x = 120 lbs, z = (120 - 140) / 25 = -0.8, and for x = 165 lbs, z = (165 - 140) / 25 = 1.0. We can then use a calculator to find the probability between -0.8 and 1.0, which is approximately 0.8186.

Thus, the chance of picking an adult at random who weighs between 120 and 165 lbs is roughly 0.8186.

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The solution is

a) The area of the sign is 3950 cm²

b) The total number of cans of paint is 3 cans of paint

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total area of the sign be = S

Now , the area of the triangle be = T

Let the area of the rectangle be = R

The height of the triangle = 50 cm

The base of the triangle = 50 cm

So , the area of the triangle = ( 1 / 2 ) Height x Base

Area of Triangle T = ( 1/2 ) x 50 x 50

Area of Triangle T = 1250 cm²

Length of the rectangle = 90 cm

Width of the rectangle = 30 cm

Now , the area of rectangle R = Length x Width

Area of the rectangle R = 90 x 30

Area of the rectangle R = 2700 cm²

And , the area of the sign = Area of the rectangle R + Area of Triangle T

Substituting the values in the equation , we get

Area of the sign = 2700 cm² + 1250 cm²

Area of the sign = 3950 cm²

b)

Each can of paint covers = 1m²

So , Each can of paint covers = 10000 cm²

The number of signs = 6 signs

So , the total area of 6 signs = 6 x Area of the sign

The total area of 6 signs = 6 x 3950

The total area of 6 signs = 23700 cm²

And , the number of cans of paint for 6 signs = The total area of 6 signs / Area covered by each can

Substituting the values in the equation , we get

The number of cans of paint for 6 signs = 23700 / 10000

The number of cans of paint for 6 signs = 2.37 cans

The number of cans of paint for 6 signs ≈ 3 cans

Hence ,

a) The area of the sign is 3950 cm²

b) The total number of cans of paint is 3 cans of paint

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Answer:

$130

Step-by-step explanation:

Answer:

$130

Step-by-step explanation:

1300×10%

$130

Answer:

Step-by-step explanation:

Slope formula: m=\(\frac{rise}{run}\) so m= \(\frac{y_2-y_1}{x_2-x_1}\)

\(y_1\)=3

\(y_2\)=-1

\(x_1\)=0

\(x_2\)=5

So the formula is, \(\frac{(-1)-3}{5-0}\) = \(\frac{-4}{5}\)

Slope is negative.

Slope is -4/5

Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

\(GeniusUser\)

The expression 8* is equivalent to both 32 and 32².Expression 8* is an algebraic expression that can be expanded to 8*1 = 8. Thus, 8* is equivalent to 8.

An algebraic expression is a combination of terms, variables and operators that when simplified, evaluates to a numerical value. It is usually written in the form of equations and inequalities, where the terms represent numbers and variables represent unknown values.

When multiplied by 1, 8* is equivalent to 32. This is because 8*1 = 8 and 32*1 = 32. So, 8* = 32.

Expression 8* is also equivalent to 32². This is because 8*1 = 8 and 32² is 8 multiplied by itself. So 8* = 32².

The expressions A. (²/²), B. 8.8x+1, and F. 8-8-1 are not equivalent to 8*.

Expression A. (²/²) is not equivalent to 8*. This is because (²/²) is an undefined expression, while 8* is a defined expression.

Expression B. 8.8x+1 is not equivalent to 8*. This is because 8.8x+1 is an algebraic expression that includes the variable x, while 8* does not include any variables.

Expression F. 8-8-1 is not equivalent to 8*. This is because 8-8-1 is a subtraction expression, while 8* is a multiplication expression.

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Answer:

B. Multiply by 2, add 1

explanation:

23× 2 = 46 + 1 = 47

47 × 2 = 94 + 1 = 95

95 × 2 = 190 + 1 = 191

Answer:

The answer is 0.037433155

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Please mark me as brainlyest

The number of shaded blocks on figure 35 is given as follows:

148 blocks. (option 2).

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

The first term of the sequence is the number of shaded blocks on Figure 1, which is of:

\(a_1 = 12\)

For each new figure, the number of blocks is increased by 4, hence the common difference is given as follows:

d = 4.

Then the number of shaded blocks on Figure n is given as follows:

\(a_n = 12 + 4(n - 1)\)

For Figure 35, the number of blocks is given as follows:

12 + 4 x 34 = 148 blocks.

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1. The variable used to predict another variable is called the dependent variable.

2. The predicted attendance if the temperature is 90 degrees would be 9,750.

3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.

1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.

The variable used to predict another variable is called the dependent variable.

2. The given equation is Attendance = 16,500 - 75 * Temperature.

If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.

Attendance = 16,500 - 75 * 90

Attendance = 16,500 - 6,750

Attendance = 9,750

Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.

The predicted attendance if the temperature is 90 degrees would be 9,750.

3. To calculate the test statistic, we need to use the formula:

test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)

Given:

Sample size (n) = 25

Sample correlation coefficient (r) = 0.60

Substituting these values into the formula:

test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)

test statistic ≈ (0.60 * sqrt(23)) / 0.8

test statistic ≈ 1.380 / 0.8

test statistic ≈ 1.725

Rounding to three decimal places, the computed test statistic would be approximately 2.071.

The computed test statistic, rounded to three decimal places, would be approximately 2.071.

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Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Therefore , the solution of the given problem of unitary method comes out to be there were approximately 557 principals present.

To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.

Here,

Let's determine the principals' proportion to everyone else in the display room:

=> Number of principals divided by the total number of visitors to the display room =

=> 52/70 (number of principals / total number of visitors).

to determine the approximate number of principals present at the conference:

Estimated number of principals attending the conference = Principals as a percentage of all attendees in the exhibit hall * Total attendees =

=>  (52 / 70) * 750

=> 557 principals are expected to have attended the meeting.

As a result, it is possible to forecast that there were approximately 557 principals present at the meeting,

which corresponds to the response option "There were approximately 557 principals present."

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