Solve each problem. Round to the nearest tenth if necessary. Use 3.14 for π. What is the radius of a circle with a circumference of 15 cm? Show your work! I will be giving out brainliest!

Answer:

3.19 millimeter round of nearest hundred

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = \(\pi\) × d

198 = \(\pi\) × 63

\(\pi\) = \(\frac{198}{63}\)

\(\pi\) = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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Answer:

Step-by-step explanation:

Expand: 9 - 15 +12x

Simplify: -6 + 12x

-6 (1 - 2x)

The solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 9-3(5-4x). The expression will be simplified as:-

E = 9 - 15 +12x

E = -6 + 12x

E = -6 (1 - 2x)

Therefore, the solution of the given expression 9-3(5-4x) is -6 (1 - 2x).

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Answer:Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve u

Step-by-step explanation:

sorry my answer was wrong

Answer: Reduce the fraction to the simplest form.

Hope this helps :)

Step-by-step explanation:

8/10

/ 2

4/5

Answer:

sorry to tell you this but you will be measuring for a while

Step-by-step explanation:

go to walmart get a 2/3 measuring cup and measure out 8 cups i guess. get me some chips while your there plss. <3

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

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Answer:

1ans) 6/14 or 3/7 probability

2ans) 1/2 or a 50% chance

Answer:

x=-1

Step-by-step explanation:

Step 1: Subtract x from both sides.

−x+4−x=x+6−x

−2x+4=6

Step 2: Subtract 4 from both sides.

−2x+4−4=6−4

−2x=2

Step 3: Divide both sides by -2.

−2x/−2= 2/−2

x=−1

Hope this helped :)

The values of x and y are 65 and 55 respectively

From the figure, the parallel lines are represented as:

<< and <

This means that corresponding angles are equal

From the figure, we have:

Corresponding angles y and 55

This means that

y = 55

To calculate the measure of x, we use the following equation

x + y = 120 ---- external angle on a triangle

Substitute y = 55 in x + y = 120

x + 55 = 120

Subtract 55 from both sides

x = 65

Hence, the values of x and y are 65 and 55 respectively

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(a) P(T<2.898) ≈ 0.990, (b) P(T>1.363) ≈ 0.100, and (c) P(-2.624 < T < -2.365) ≈ 0.015 when the corresponding degrees of freedom are given.

These probabilities were obtained by referencing the table of critical values of the t-distribution and calculating the desired values based on the given T-scores and degrees of freedom.

(a) To find P(T<2.898) when v=17, we can refer to the table of critical values of the t-distribution. Looking up the value 2.898 in the table with 17 degrees of freedom, we find the corresponding probability to be approximately 0.990.

(b) To find P(T>1.363) when v=11, we need to calculate the complement of the probability P(T<1.363). Using the table of critical values of the t-distribution with 11 degrees of freedom, we find the probability P(T<1.363) to be approximately 0.900. Therefore, the complement of this probability, P(T>1.363), is approximately 1 - 0.900 = 0.100.

(c) To find P(-2.624 < T < -2.365) when v=7, we can use the table of critical values of the t-distribution. Since the table provides critical values for positive T-scores, we need to find the probability P(T<-2.365) and subtract P(T<-2.624) to obtain the desired probability. For 7 degrees of freedom, we find P(T<-2.365) to be approximately 0.025 and P(T<-2.624) to be approximately 0.01. Therefore, P(-2.624 < T < -2.365) ≈ 0.025 - 0.01 = 0.015.

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Answer:

24 hours

Step-by-step explanation:

set up a ratio:

12 miles = 16 hours

-------------    ------------

18 miles =   x hours

cross multiply

12m * x = 16h * 18 m

solve for x

x=16h * 18m / 12m = 24 hours

The probability of stopping the process when the nonconforming output is at or below 2% is approximately 0.101, or 10.1%.

To evaluate the performance of this decision rule, we need to determine the probability of stopping the process when the nonconforming output is at or below 2%.

Let's use the binomial distribution to calculate the probability. The probability of a nonconforming unit is p = 0.02, and we have a sample size of n = 25 units.

We want to find the probability of observing two or more nonconforming units, which is the probability of X ≥ 2, where X follows a binomial distribution with parameters n and p.

To calculate this probability, we can use the complement rule and subtract the probability of observing less than two nonconforming units from 1.

P(X ≥ 2) = 1 - P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

Using the binomial probability formula:

P(X = k) = C(n, k) × \(p^k\) × \((1 - p)^{(n - k)\)

P(X = 0) = C(25, 0) × \(0.02^{0\) × \((1 - 0.02)^{(25 - 0)\)

= 1 × 1 × \(0.98^{25\)

≈ 0.551

P(X = 1) = C(25, 1) × \(0.02^{1\) × \((1 - 0.02)^{(25 - 1)\)

= 25 × 0.02 × \(0.98^{24\)

≈ 0.348

P(X < 2) = P(X = 0) + P(X = 1)

≈ 0.551 + 0.348

≈ 0.899

P(X ≥ 2) = 1 - P(X < 2)

≈ 1 - 0.899

≈ 0.101

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Disjoint events are events that cannot happen at the same time. Two events A and B are independent if the occurrence of A does not affect the probability of B happening, and vice versa. Mathematically, this can be written as P(A and B) = P(A)P(B).

In the case of disjoint events, P(A and B) = 0 because they cannot occur at the same time. Therefore, the condition for A and B to be independent is that either P(A) = 0 or P(B) = 0, since any non-zero probability for either event would make the product P(A)P(B) also non-zero.

Two disjoint events are independent if and only if at least one of them has zero probability.

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Answer:

100.44

Step-by-step explanation:

8%= 0.08

0.08*93 = 7.44

93+7.44 = 100.44

Answer:

100.44

Step-by-step explanation:

0.08 x 93 = 7.44

93 + 7.44 = 100.44

1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples

1. You want to estimate the typical salary for women working in the nursing field.
  Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
  Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
  Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
  Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
  Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
  Answer: Proportions from dependent samples

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The Bayes' decision rule strategy is Buy.

Bayes' decision rule is used to choose between a set of mutually exclusive and collectively exhaustive outcomes based on the probabilities of those outcomes and their expenses. It chooses the decision alternative with the largest expected value. Bayes' decision rule specifies the following method for selecting between two mutually exclusive possibilities:

choose the one with the highest probability of being correct. Suppose we have two alternatives, A1 and A2, and we must select one. The outcomes O1, O2, and O3 may arise if we select A1, and outcomes O4, O5, and O6 may arise if we select A2, as shown in the given payoff table below:O1 O2 O3A1 r1 r2 r3A2 r4 r5 r6The procedure for using Bayes' rule is as follows:

Step 1: Calculate the likelihood ratios for each outcome. The likelihood ratio is the probability of the outcome given the chosen alternative divided by the probability of the outcome given the alternative not selected. For example, the likelihood ratio for O1 is as follows: r1/(r4 + r5 + r6).

Step 2: Estimate the prior probabilities of the alternatives (before any information is acquired). Assume that these are 50-50 probabilities unless more information is available. For example, if A1 and A2 are equally likely, their prior probabilities are both 0.50.

Step 3: Calculate the posterior probabilities of the alternatives given the observed outcome.

Bayes' theorem is used to calculate the posterior probabilities of the alternatives. The formula for Bayes' theorem is as follows: P(Ai|Oj) = (P(Oj|Ai)P(Ai))/ P(Oj)where P(Ai|Oj) is the posterior probability of Ai given Oj, P(Oj|Ai) is the likelihood of Oj given Ai, P(Ai) is the prior probability of Ai, and P(Oj) is the total probability of Oj, which is the sum of the likelihoods for the two alternatives.

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Answer: Always

An example would be 5 + (-5) = 0

Another example is -7 + 7 = 0

The opposite of any positive number is the negative version of that number.

Adding any positive number to its negative counterpart always leads to 0.

A real world example could be "You start on the ground floor. Then you go up 9 floors, and then go down 9 floors in a building, so ultimately you're at the ground floor again". By the term "ground floor", I mean "floor 0".

Answer: £2.4

Step-by-step explanation:

From the question, Erin buys 3 packs of potatoes costing £2 each, 4 packs of carrots for £2 per pack, and 4 turnips costing 90p each.

Total cost of potatoes = 3 × £2 = £6

Total cost of carrots = 4 × £2 = £8

Total cost of turnips = 4 × 90p = £360p = £3.6

The total cost of things bought by Erin will now be:

= £6 + £8 + £3.6

= £17.6

If she pays with a £20 note, she will collect a change of:

= £20 - £17.6

= £2.4

= 2 pounds, 40 pennies.

The poles of X(s) are at s = -3 and s = -4, and the zero is at s = -2.

The signal z(t) corresponding to ROC1 is z1(t) = e^-2t u(t), the signal corresponding to ROC2 is z2(t) = -e^-3t u(t) + e^-2t u(t), and the signal corresponding to ROC3 is z3(t) = -e^-3t u(t).

Given, Laplace transform of X(s) is 2(s + 2) X(s) = s² + 7s + 12

We need to find the poles and zeros of X(s).

Determine all possible ROCs of X(s) and then the signal z(t) corresponding to each of the ROCS.

Poles and zeros of X(s)

To find the poles and zeros of X(s), we first need to write X(s) in factored form.

2(s + 2) X(s) = s² + 7s + 12 2(s + 2) X(s) = (s + 3) (s + 4) X(s) = (s + 3)/2 (s + 4)/2

The poles of X(s) are the values of s for which X(s) is undefined. From the above equation, the poles of X(s) are s = -3 and s = -4.

The zeros of X(s) are the values of s for which X(s) becomes zero. From the above equation, the zeros of X(s) is s = -2. Hence, the poles of X(s) are at s = -3 and s = -4, and the zero is at s = -2.

ROC (Region of Convergence)

We need to find the region of convergence for X(s). ROC is defined as a region in the complex plane such that X(s) converges. We know that Laplace transform exists only for right-sided signals. Thus, X(s) should converge for some region to the right of the right-most pole (-4 in this case).

Hence, the possible ROCs are given as follows.

ROC1: -4 < Re(s)

ROC2: -3 < Re(s) < -4

ROC3: Re(s) < -3.

Now, we need to find the signal corresponding to each of the ROCs.

Let's start with ROC1.

ROC1: -4 < Re(s)

For this region, X(s) converges for all s such that the real part of s is greater than -4. The inverse Laplace transform of X(s) for ROC1 can be obtained by using the following expression.

(1)Z1(t) = inverse Laplace transform of X(s) for ROC1= e^-2t u(t)

Now, let's find the signal for ROC2.

ROC2: -3 < Re(s) < -4

For this region, X(s) converges for all s such that the real part of s is between -3 and -4. The inverse Laplace transform of X(s) for ROC2 can be obtained by using the following expression.

(2)Z2(t) = inverse Laplace transform of X(s) for ROC2= -e^-3t u(t) + e^-2t u(t)

Now, let's find the signal for ROC3.

ROC3: Re(s) < -3.For this region, X(s) converges for all s such that the real part of s is less than -3. The inverse Laplace transform of X(s) for ROC3 can be obtained by using the following expression.

(3)Z3(t) = inverse Laplace transform of X(s) for ROC3= -e^-3t u(t)

Hence, the signal z(t) corresponding to ROC1 is z1(t) = e^-2t u(t), the signal corresponding to ROC2 is z2(t) = -e^-3t u(t) + e^-2t u(t), and the signal corresponding to ROC3 is z3(t) = -e^-3t u(t).

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Answer: yes

Step-by-step explanation:

The area of the actual park is approximately 149,094 square yards.

To find the area of the actual park in square yards, we need to convert the given measurements to the same units.

Given:

Scale drawing width = 12 inches

Scale drawing length = 5 inches

Actual park length = 250 yards

First, let's convert the scale drawing measurements from inches to yards to match the units of the actual park length.

1 yard = 36 inches

Scale drawing width in yards = 12 inches / 36 inches per yard = 1/3 yard

Scale drawing length in yards = 5 inches / 36 inches per yard ≈ 0.1389 yards

Now we have the dimensions of the scale drawing in yards. We can use these dimensions to find the area of the scale drawing.

Scale drawing area = Scale drawing length * Scale drawing width

                  ≈ 0.1389 yards * 1/3 yard

                  ≈ 0.0463 square yards

Since the scale drawing represents a proportional relationship to the actual park, we can use this scale to find the area of the actual park.

Scale factor = Actual length / Scale drawing length

            = 250 yards / 0.1389 yards

            ≈ 1800

The scale factor represents the ratio of the actual length to the scale drawing length. We can use this scale factor to find the area of the actual park.

Area of actual park = Scale drawing area * Scale factor^2

                   = 0.0463 square yards * (1800)^2

                   = 149,094 square yards

Therefore, the area of the actual park is approximately 149,094 square yards.

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Step-by-step explanation:

The top and bottom horizontal lines are 11 units long and the left and right vertical lines are 9 units long. Dilating the logo by a factor of one-half means that these lengths will grow longer by 50%. Hence the horizontal lines will get longer by 5.5 units and vertical lines will grow longer by 4.5 units. The diagonals should also increase in length accordingly.

Answer:

C.

Step-by-step explanation:

Your formula will always be for simple interest: A = P(1 + r)^t

Plugging in all the variables will give you C as the answer.

Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(Simplify\)

Answer:A

Step-by-step explanation: she got a $20 and she bananas that cost $20 and she gave the little bit away that she still had witch from the begging she had $0.40