1 2 5 Given the figure below, find the values of x and z. (9x + 70) ) (6x + 80 80) BE

Answer:

The answer is b. x = -4

The formula for circumference is used to determine the diameter of the circle that the teeter totter creates as it spins, which is 232.12 inches.

The circumference of the circle that the teeter totter makes as it spins is given by the formula:

Circumference = 2 * pi * radius

where "pi" is the mathematical constant approximately equal to 3.14, and "radius" is the distance from the center of the circle to its outside edge.

In this problem, we are given that the distance from the center to the outside edge of the teeter totter is 37 inches, which means that the radius of the circle is also 37 inches. Therefore, we can use the formula for circumference to calculate the distance around the circle that the teeter totter makes as it spins.

In this case, the radius is 37 inches, so we can plug in these values to get:

Circumference = 2 * 3.14 * 37

Simplifying this expression gives:

Circumference = 232.12

Therefore, the circumference of the circle that the teeter totter makes as it spins is approximately 232.12 inches, rounded to the nearest hundredth of an inch.

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The function family of f(x) = 5x - 2 is the linear function and the comparison of the graphs of y = x and f(x) = 5x - 2 is that:

The function is given as:

f(x) = 5x - 2

Linear functions are represented as:

y = mx + c

The equation f(x) = 5x - 2 take the form of a linear function.

And the parent function of a linear function is y = x

Hence, the function family of f(x) = 5x - 2 is the linear function

The comparison of the graphs of y = x and f(x) = 5x - 2 is that:

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The value of x from the venn diagram if P(T | V) = 1/5 is 16

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

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

A

Step-by-step explanation:

because I said so.

Answer:

the correct answer is option A

Step-by-step explanation:

(9-2)(-2)

(7)(-2)

=-14

Answer:

Step-by-step explanation:

I want to say the 2nd one.

2nd and 4th one are equivalent to the initial equation but it asks for the expotential equation is equivalent so i figured the 2nd one has the exponents. Sorry can't be of more help. Thats the one i would choose.

Answer:

$3480

Step-by-step explanation:

We know that the tax rate for the first $8000 is 15% and after $8000 the tax is 19%.

This means the total amount of money that Christine have to pay is equal to $8000 × 15% + ($20000 (the total) - $8000 (the amount that she already paid for the first $8000)) × 19%

This is equal to $1200 + $12000 × 19%

= $1200 + $2280

= $3480

Therefore, Christine must pay $3480 in income tax.

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(d=\sqrt{(-6-0)^2+(4-0)^2}\)

\(d=\sqrt{36+16}\)

\(d=\sqrt{52}\)

\(d=2\sqrt{13}\)

Now, radius is half of the diameter.

\(r=\dfrac{2\sqrt{13}}{2}\)

\(r=\sqrt{13}\)

Center of the circle is the midpoint of the endpoints of a diameter.

\(Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

\(Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)\)

\(Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)\)

\(Center=\left(2,-3\right)\)

Standard form of a circle is

\((x-h)^2+(y-k)^2=r^2\)

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is \(\sqrt{13}\). So,

\((x-2)^2+(y-(-3))^2=(\sqrt{13})^2\)

\((x-2)^2+(y+3)^2=13\)

Therefore, the standard form of the circle is \((x-2)^2+(y+3)^2=13\).

Answer:

\(3.9 \times 10^{-11}\) probability that both vehicles will have all defective fuses

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Probability of a vehicle having all defective fuses:

5% of fuses are defective, which means that \(p = 0.05\)

A vehicle has 4 fuses, which means that \(n = 4\).

This probability is P(X = 4). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625\)

If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?

For each vehicle, 0.00000625 probability of having all defective fuses. For 2:

\((0.00000625)^2 = 3.9 \times 10^{-11}\)

\(3.9 \times 10^{-11}\) probability that both vehicles will have all defective fuses

9514 1404 393

Answer:

  f(-2) = -6

Step-by-step explanation:

The remainder theorem tells you the remainder from division by x+2 is the value of f(-2). We can conclude ...

  f(-2) = -6

Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

Explanation:

Here, we want to write the formula of the function

The general form is:

A is the amplitude

D is the mid-value

We have the amplitude as:

Now, let us get the period value:

The period is the distance from max to max or from min to min

From the question, we have that as 10

The value of D is the mid-value which is the sum of the y-values divided by 2 (8+2/2 = 5)

Now,let us get the value of B

Thus, we have the equation as:

Answer:

a rectangle is having 4 lines of symmetry but a trapezium is having 2 lines of symmetry

The quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

By the above discussion we conclude that the quadrilateral with two lines of symmetry is a rhombus and not a rectangle. Therefore, the statement given by the Dave is not correct.

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Answer:

m<BAC= 110 degrees

Step-by-step explanation:

Since the outside angle m<BCD is 130 degrees the inside angle m<BCA would be 50 degrees. At this point you should know that inside angles of a triangle add up to 180 degrees so add the two angles that you know then subtract from 180 degrees. 50+20= 70 degrees and 180-70= 110 degrees.

The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.

To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.

First, we need to standardize the weight limits as follows -

\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4

\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4

Next, we will find the area under the standard normal curve that lies outside of these limits as follows -

P(Defect) = P(Z < -4) + P(Z > 4)

Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x   \(10^{-5}\)  and P(Z > 4) = 2.8665 x  \(10^{-5}\) .

So, the total probability of a defect is -

P(Defect) = 2.8665 x  \(10^{-5}\)  + 2.8665 x  \(10^{-5}\)  = 5.7330 x  \(10^{-5}\)

Finally, we will find the number of defects for a 1,000-unit production run as follows -

The number of defects = 1000 * 5.7330 x  \(10^{-5}\)  = 5.73 (rounded to the nearest whole number).

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Answer:

\(25C_{12}\)

Step-by-step explanation:

We are given that an expression

\(\frac{25!}{(25-12)!12!}\)

We have to find the expression which represents  \(\frac{25!}{(25-12)!12!}\).

We know that

\(nP_r=\frac{n!}{(n-r)!}\)

\(nC_r=\frac{n!}{(n-r)!r!}\)

By using the formula

By comparing we get

n=25,r=12

\(\frac{25!}{(25-12)!12!}\)

\(=25C_{12}\)

Hence, option a is true.

\(25C_{12}\)

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds =  4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds =  4 almonds

Answer:

IT'S B I CAN CONFIRM BC I JUST FINISHED THE TEST

Step-by-step explanation:

Answer:

January 26 or in 42 days

Step-by-step explanation:

The smallest amount of days that both grandfather clocks share is 42 days. 42 days from December 15 is January 26.

hope this helps :)

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

she needs $4.52

Step-by-step explanation:

(9.5*5.50)+x=56.77

52.25+x=56.77

x=56.77-52.25

x=4.52

well, let's notice that A F, B G and C E all converge at point D, without much fuss, that simply means they're all medians, because all medians in a triangle meet at the centroid.

As x increases by one unit from 10 to 11, the predicted probability changes. The predicted probability increases by 0.0444 if x increases from 10 to 11. The correct option is C.

The estimated coefficient in this scenario indicates the change in the predicted log odds of the response variable for a one-unit increase in the predictor variable, holding all other variables constant. In other words, we can interpret it as the changing impact of x on the log odds of the response variable.

To compute the predicted probability, we need to apply the inverse of the logistic function to the linear predictor (i.e., the estimated log odds). Then, we can compare the predicted probabilities for different values of x to see how the change in x affects the response.

The statement "the predicted probability changes by 0.0444 but it could increase or decrease" is incorrect because we know from the given information that the predicted probability increases as x increases from 10 to 11.

The statement "the increase in pˆ will not be the same if x increases from 20 to 21" is also incorrect because we are not given any information about the estimated coefficient or predicted probability for x = 20 or x = 21, so we cannot make any conclusions about the change in pˆ for that interval.

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Complete question is:

Select all that apply

A useful method to interpret the estimated coefficient is to highlight the changing impact of x on p. For instance, given x = 10, we compute the predicted probability as 0.4256. For x = 11, the predicted probability is pˆ=0.4700. Therefore, as x increases by one unit from 10 to 11, the predicted probability changes. Which of the following is true?

A. The predicted probability increases by 0.0444 if x increases from 20 to 21

B. The predicted probability changes by 0.0444 but it could increase or decrease

C. The predicted probability increases by 0.0444 if x increases from 10 to 11.

D. The increase in pˆ will not be the same if x increases from 20 to 21

Answer:

800.10

Step-by-step explanation:

every part after than and is behind a decimal point.

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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