Jacob is playing a game where he earns 3 points for a correct answer and loses 2 points for an incorrect answer. He currently has –6 points. What situation would end with him breaking even?
answering one question correctly and the last question incorrectly
answering one question incorrectly and the last question correctly
answering the last two questions correctly
answering the last two questions incorrectly

The mistakes he made in the sequence and the correct answers are  (1) 121, 125, 129,133, (2) 2190 (3) 601 (4) No mistake (5)  1018, 1024, 1022, 1024

The given parameters that will guide to us detect the error in the sequence are

1.    114, 118, 112, 116, 121, 125, 129, 133

The sequence is in Arithmetic progress with a common difference of 4

The correct sequence should be

114,118,112,116,120,124,128,132

2. The given sequence is 2155,2160,2165,2170,2175,2180,2190,2200

The sequence is also in Arithmetic Progression with a difference of 5

The correct answer is 2155,2160,2165,2170,2175,2180,2185,2190

3. The given sequence is 597,598,599,601,610,611,612,613

The sequence is not correct,

The common difference between the terms is 1

The correct answer is 597,598,599,600,601,602,603,604

4. The sequence is 218,225,232,239,246,253,260,267

The common difference of the AP is 7

You can notice that there is no mistakes

5. The given sequence is 1018,1024,1022,1024,1030,1032,1034

The is a mistake in the sequence.

The common difference is 2

The correct sequence should be 1020,1022,1024,1026,1028,1030,1032,1034

In conclusion, there are some errors as corrected in the sequence above

Learn more about sequence on https://brainly.com/question/21961097

#SPJ1

Total price

\(\\ \rm\longmapsto 0.065(17)+17\)

\(\\ \rm\longmapsto 17+1.105\)

\(\\ \rm\longmapsto 18.11\)

Answer:

36

Step-by-step explanation:

The value of the expression is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(120 ÷ 20) ÷ (2 x 3)\

Using the PEMDAS rule.

P = parenthesis

E = exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now,

(120 ÷ 20) ÷ (2 x 3)

= 120/20 ÷ 6

= 6 ÷ 6

= 1

Thus,

1 is the value.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

Learn more about minutes here:

https://brainly.com/question/31148642

#SPJ11

The null-hypothesis (H₀) in a two-tailed hypothesis test states that there is no significant difference between the treatment group and the control group, the correct option is (c)The treatment has no effect on scores.

The "Null-Hypothesis" assumes that any difference between the treatment group and control group is due to chance, and that  treatment has no real effect on the outcome variable being measured.
The "Alternative-Hypothesis" (H₁) says that the treatment does have an effect on scores, but it does not specify whether the effect is positive or negative.

The null hypothesis is typically assumed to be true until there is sufficient evidence to reject it in favor of the alternative hypothesis.

Therefore, the correct option is (c).

Learn more about Null Hypothesis here

https://brainly.com/question/515658

#SPJ4

The given question is incomplete, the complete question is

A researcher selects a sample and administers a treatment to the individuals in the sample. If the sample is used for a two-tailed hypothesis test, what does the null hypothesis (H₀) say about the treatment?

(a) The treatment increases scores.

(b) The treatment causes a change in scores.

(c) The treatment has no effect on scores.

(d) The treatment adds a constant to each score.

(e) The treatment decreases scores.

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

for more such questions on population

https://brainly.com/question/30396931

#SPJ8

Answer:

206.67 round it

Step-by-step explanation:

\(g(-2) = -20\)

Given:

\(g(x) = -4x^2 -3x +2\)

Solving for \(g(-2)\):

\(g(-2) = -4(-2)^2 -3(-2) +2 \\ g(-2) = -4(4) -6 +2 \\ g(-2) = -16 -6 +2 \\ g(-2) = -20\)

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

To learn more about solar flux density,

https://brainly.com/question/14891737

#SPJ4

Answer:

If you have one x2-block and 2n x-blocks, you need to add (2n)^2 1-blocks to form a square. The dimensions of the square will be (x2-block + 2n x-blocks) x (x2-block + 2n x-blocks) = (2n+2) x (2n+2) = (2n + 2)^2.

The given sequence can be written as:

lim (n→∞) (1 + 3/n)^n

To determine if the sequence is convergent or divergent and if convergent, find its limit, we can use the limit definition of e:

e = lim (n→∞) (1 + 1/n)^n

Notice that the given sequence is similar to the limit definition of e, except for the constant 3. To find the limit of the given sequence, we can rewrite it as:

lim (n→∞) [(1 + 1/n)^n]^3

Now we can apply the limit definition of e:

lim (n→∞) [e]^3

Since e is a constant, the limit is simply e^3. Therefore, the sequence is convergent and its limit is e^3.

Learn more about convergent sequence here:

https://brainly.com/question/21961097

#SPJ11

Answer:

1/2 3/4 5/6

Step-by-step explanation:

56565476544356754345676543265432

Answer:

6/16

Step-by-step explanation:

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

Learn more about percentage here:

https://brainly.com/question/29763752

#SPJ11

Time taken by Adam to complete his seventh lap of the circular track as per given data is equal to 1minute 28seconds.

As given in the question,

Time taken by Adam to complete hi first lap of circular track = 1 min 58 sec

First term t₁ = 1 minute 58seconds

Time taken by each successive lap is 5seconds less then the previous lap

Common difference 'd' = -5seconds

let time taken to complete the seventh lap be t₇

t₇ = t₁ + ( 7 - 1 ) d

⇒ t₇ = 1 minute 58 seconds + ( 6 ) (- 5seconds)

       =  1 minute 58 seconds - 30seconds

      = 1 minute 28 seconds

Therefore, the time taken by Adam to complete his seventh lap is equal to

1 minute 28 seconds.

Learn more about time here

brainly.com/question/28050940

#SPJ4

Answer:

-15.6 or -15 3/5

Step-by-step explanation:

Answer:

(B) 80

Step-by-step explanation:

The expression that represents the surface area of the pyramid is;

16 + 4 + 4 + 4 + 4

The total surface area of the given attached shape with a square based pyramid is the sum of all the area of its faces.

The given pyramid has 4 triangular faces and a square base. Thus;

TSA = area of the 4 triangles + base area

TSA = 4(0.5(4 * 3)) + (4 * 4)

TSA = 4(6) + 16

TSA = (6 + 6 +6 + 6) + 16

Hence the expression that represents the surface area of the pyramid is 16 + 4 + 4 + 4 + 4

Read more about Total Surface area of Pyramid at; https://brainly.com/question/22744289

#SPJ1

Answer:

answer I got is 16+6+6+6+6

Answer:

36 times

Step-by-step explanation:

Given

\(Red = 4\)

\(Total = 7\)

\(n = 63\)

See attachment

Required

Predicted number of times to land on red

First, we calculate the probability of landing on red

\(Pr = \frac{Red}{Total}\)

\(Pr = \frac{4}{7}\)

The predicted number of red is the =n calculated as:

\(Red = Pr * n\)

\(Red = \frac{4}{7}*63\)

\(Red = 4 * 9\)

\(Red = 36\)

The answer is: True. When matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S.

An upper triangular matrix is a square matrix in which all entries below the main diagonal are zero. An eigenvector of a matrix A is a nonzero vector x such that Ax is a scalar multiple of x. That is, there exists a scalar λ such that Ax = λx.
For a complete upper triangular matrix, all of its eigenvalues are on the diagonal. To see this, consider the characteristic polynomial of a complete upper triangular matrix:
p(λ) = det(A - λI)
where I is the identity matrix. Since A is upper triangular, its determinant is the product of its diagonal entries, and det(A - λI) is a polynomial of degree n (the size of the matrix) in λ. Therefore, there are n roots of p(λ), which correspond to the eigenvalues of A. Since A is completely upper triangular, all of its eigenvalues are on the diagonal.

Now, let's consider the eigenvector matrix S of A. This is a matrix whose columns are the eigenvectors of A. Since A is upper triangular, any eigenvector of A must also be upper triangular (or zero). Therefore, the eigenvector matrix S must also be upper triangular. In summary, if a is a complete upper triangular matrix, then all of its eigenvalues are on the diagonal, and its eigenvector matrix S is upper triangular. Therefore, the statement is true.
"If A is a complete upper triangular matrix, then it has an upper triangular eigenvector matrix S." When a matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S. Since A is upper triangular, the eigenvector matrix S will also be upper triangular.

Learn more about matrix here: brainly.com/question/28180105

#SPJ11

Answer:

A=50

B=79

C=51

a=7.88572

b=10.10495

c=8

Step-by-step explanation:

b/sin(B) = a/sin(A) = c/sin(C)

b/sin(79) = 8/sin(51)

b = 10.10495

a/sin(50) = 8/sin(51)

a=7.88572

The value of a by using Sine law is 7.88572.

We have,

A=50, B=79 and C=51

Using Sine law we can write

b/sin(B) = a/sin(A) = c/sin(C)

b/sin(79) = 8/sin(51)

b = 10.10495

Again, a/sin(50) = 8/sin(51)

a=7.88572

Thus, the value of a is 7.88572.

Learn more about Sine law here:

https://brainly.com/question/17289163

#SPJ2

Answer:

27x3-16y3=

3x-4y

Step-by-step explanation:

I don't understand your question fully

I hope I helped you

The probability that the first trial B, fails is given by 1-p. Hence, the correct answer is option C) 1-P.Let Y be a binomial random variable with parameters n and p.The probability that Y is zero is given by (1-p)^n. Hence, the correct answer is option A) (1-P)^n.

Bernoulli Distribution:In probability theory and statistics, the Bernoulli distribution is the discrete probability distribution of a random variable that takes the value 1 with probability p and the value 0 with probability q=1-p.

The Bernoulli distribution is the simplest distribution that has only two possible outcomes, 1 or 0.Binomial Distribution:The binomial distribution is a probability distribution that results from performing n independent Bernoulli trials, each with probability p of success.

A binomial random variable, Y, represents the number of successes in n Bernoulli trials with probability p.

The probability mass function of a binomial distribution is given byP(Y = k) = C(n, k) p^k q^(n-k)where C(n, k) = n!/[k! (n-k)!] is the binomial coefficient.P(Y = k) is the probability of getting k successes in n independent Bernoulli trials, where p is the probability of success in each trial and q = 1 - p is the probability of failure in each trial.

The question is formatted with HTML. Let B, and B, be Bernoulli trials with probability of success p.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

Answer:

60. 15

---- = ------ x=25

100. x

Given:

The highest point on the graph of y =f(x) is (-3, 6)

The highest point of the graph of :

The new function is translated to the right by 1 unit and translated upwards by 5 units.

Applying this to the highest point of the original function y = f(x), we have:

Answer:

(-2, 11)

Answer: I think C

Step-by-step explanation:

Answer:

x + 3

Step-by-step explanation:

Therefore, the answer is x + 3.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

 ~ ren