Sumi is considering two gyms. Gym A has a one-time membership fee of $45 and costs $18 per month. Gym B has a one-time membership fee of $60 and costss $18 per month. Write and solve an equation to find the number of months for which the two gyms have the same cost. Explain how your solution relates to the problem situation.

Answer:

If the truck's value dropped 15% each year, after one year the value of the truck is 22000*(1-0.15) = $18700

After the second year, the value of the truck would be 18700*(1-0.15) = $15995

After the third year, the value of the truck would be 15995*(1-0.15) = $13596.75

Rounding the answer to the nearest dollar, the value of the truck after 3 years is $13597

The probability that the bottom side of the egg is unburnt as well is 2/3.

A fried egg has two sides: the top and the bottom. The friend prepared three fried eggs, each with a different outcome.

The first egg was cooked until both sides were burnt, the second egg was cooked until one side was burnt, and the third egg was cooked until both sides were perfect. Afterward, the friend serves an egg at random with a random side up, but fortunately, the top side is not burnt.

P = Probability that the bottom of the egg is not burnt.

P = Probability of the top side of the egg not being burnt. Using Bayes' theorem, we can calculate the probability.

P(B|A) = P(A and B)/P(A), where P(A and B) = P(B) × P(A|B),

P(B) = Probability of the bottom side of the egg not being burnt = 2/3,

P(A|B) = Probability that the top side is not burnt, given that the bottom side is not burnt = 1,

P(A) = Probability of the top side of the egg not being burnt = 2/3Therefore, P(B|A) = P(B) × P(A|B)/P(A)P(B|A) = 2/3 * 1 / (2/3) = 1.

The likelihood of the other side of the egg being unburnt is 1.

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Answer:

1. True

2. True

3. True

4. True

5. True

Step-by-step explanation:

I dont know of it is supposed to be true or not lol.

Answer:

\( - 6k - 7 - (15 - k) \\ = - 6k - 7 - 15 + k \\ = - 5k - 22 \\ thank \: you\)

In the RSA algorithm, the total number of coprime numbers is determined by the Euler's totient function (phi function), denoted as phi(n). For any given positive integer n, phi(n) is the number of positive integers that are less than or equal to n and are coprime to n. In other words, phi(n) is the count of all numbers between 1 and n (inclusive) that do not share any factors with n except 1.

In the context of the RSA algorithm, the total number of coprime numbers refers to the Euler's totient function, denoted as φ(n). Euler's totient function counts the number of integers from 1 to n that are coprime to n. Two numbers are considered coprime if their greatest common divisor (GCD) is 1, meaning they have no common factors other than 1.

The RSA algorithm uses this concept in the following steps:

1. Select two distinct prime numbers, p and q.
2. Compute n = p * q.
3. Calculate φ(n) = (p-1) * (q-1).
4. Choose a public key exponent e, such that 1 < e < φ(n) and GCD(e, φ(n)) = 1 (e and φ(n) are coprime).
5. Compute the private key exponent d, such that d * e ≡ 1 (mod φ(n)).
6. Use the public key (n, e) to encrypt messages and the private key (n, d) to decrypt them.

In summary, the total number of coprime numbers in the RSA algorithm is represented by Euler's totient function φ(n), which is used to choose the public and private key exponents and ensure their coprimality for secure encryption and decryption.

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Answer:

The answer is B. $80.50

Step-by-step explanation:

I got it right on my quiz ;)

Answer:

B

Step-by-step explanation:

0.35*230 = 80.50

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

Equation one:

x = -5, x = -1 (Both are real)

Equation two:

No real solutions

Equation three:

x = -3 (Real)

Equation four:

No real solutions

2.

The easiest way to figure out if an equation has real solutions is to factor it. If it is factorable, then it has real solutions. If it isn't, then it doesn't have real solutions.

Answer:

C

Step-by-step explanation:

114+156= 270

270/12= 22.5

Answer: the ANSWER IS 11 sqt

Step-by-step explanation:

Factor 1331 into its prime factors

          1331 = 113

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          121 = 112

Factors which will remain inside the root are :

          11 = 11

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          11 = 11

The simplified SQRT looks like this:

        11 • sqrt (11)  

Simplified Root :

11 • sqrt(11)

According to the values of the kite,

1. m∠QRT will be 51°.

2. m∠QPS will be 110°

3. m ∠ PSR will be 59°

To determine the angles with the figures of the kite given above, note that ∠QPS ≅ ∠QRS

m∠QPS = the sum of m∠QRT and ∠PSR

m∠QPS = 51° + 59°

So, m∠QPS = 110°

Note that angle QRT is gotten by the formula 1/2(180 - m∠PQR)

1/2(180 - 78°)

= 1/2(102)

= 51°

So, with the above calculations, we can arrive at the various angles where angle QRT is 51°, angle QPS is 110°, and angle PSR is 59°.

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Answer:

a+b+c

find b

then

add a+b+c

Answer:

  see below

Step-by-step explanation:

The premium is your cost for the insurance, paid to the insurance company.

The deductible is your cost for a claim, paid to settle your liability.

The limit is the maximum the insurance will pay for a given incident.

Answer:

a= one mile in 4 minutes

b =48 minutes

Step-by-step explanation:

A

t = 20 minutes

d = 5 miles

Average speed = distance ÷ time

5 miles÷ 20 minutes

= 1 mile in 4 minutes

= 0.25 miles in 1 minute

B

0.25 miles in 1 minute

12 miles in g minutes

12 miles in 48 minutes

we get this answer because 0.25 in one minute is 1 ÷4

12÷ 12 × 4

12÷ 48

= 12 miles In 48 minutes

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Answer:

the graph is not a function

Step-by-step explanation:

It is not a function because it was more than 1 x value per a y

Answer:

plot a graph and count it

Step-by-step explanation:

midpoint is the middle point of the line. it can be found by dividing the length of the line by 2 then counting inwards by that number.

Proof:

\(\frac{1}{0.17157287525 } -\frac{1}{0.18267581368} +\frac{1}{0.19626156828} -\frac{1}{0.21342176528} +\frac{1}{0.2360679775}\)

\(5.82842712475-5.47417843581+5.09524105385-4.68555772028\)

\(+4.2360679775\)

\(=5.00000000001\)

Answer:

1/(3- √8) - 1/(√8-√7)+ 1/(√7-√6)-1/(√6-√5)+ 1/(√5-2) =

=(3+√8)/(3+√8)(3- √8) - (√8+√7)/(√8+√7)(√8-√7) + (√7+√6)/(√7+√6)(√7-√6) -

- (√6+√5)/(√6+√5)(√6-√5) + (√5+2)/(√5+2)(√5-2)=

=3 + √8 - √8 - √7 + √7 + √6 - √6- √5 +√5+2=

= 3 + 2 = 5

proved

Random means in this context is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

In a fair dice the chance of getting each number is same

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer:

634.5

Step-by-step explanation:

Answer:

I think it's 6 or 0.6

Answer:

y = 2x + 2

Explanation:

We can use the following equation to write an equation in slope-intercept form.

Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:

Where (x2, y2) is another point in the line.

So, replacing (x1, y1) by (0, 2) and (x2, y2) by (3, 8), we get that the slope is equal to:

Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:

Therefore, the equation in slope-intercept form is:

y = 2x + 2

Answer:

\(x = 3\) \(y = 4\)         \(x = -\frac{7}{5}\) \(y = -\frac{24}{5}\)

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

\(x^{2} +y^{2} = 25\)

\(x^{2} +(2x-2)^{2} = 25\)

\(x^{2} + 4x^{2} -4x-4x+4 = 25\)

\(5x^{2} -8x+4=25\)

\(5x^{2} -8x-21=0\)

Use the quadratic equation to solve

\(\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}\)

\(a = 5\\b = -8 \\c = -21\)

\(\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}\)

\(\frac{8(+-)\sqrt{64-(-420) }}{10}\)

\(\frac{8+\sqrt{484 }}{10}\)          \(\frac{8-\sqrt{484 }}{10}\)

\(x\) = \(3\)           \(x\) = \(-\frac{7}{5}\)

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

Answer:

well 126/3 is 42. if 1/6 of those 42 kids that coach B had, 7 of those kids had medication. because 42 divided by 6 is 7 and only 1/6 of the kids had medication. (didn't understand exactly what you meant, hope this helps)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

When the distribution is normal, we use the z-score formula.

In a set with mean  and standard deviation, the score of a measure X is given by:

         Z = X-μ /σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

\(y = \frac{1}{4} x + b\)

\(let \: x = - 4,y = - 2\)

\( - 2 = \frac{1}{4} ( - 4) + b\)

\( - 2 = - 1 + b\)

\(b = - 1\)