add (3x + 9 / 2x + 6) + (8x + 12 / x^2 + 6x + 9)

Answer:

The correct answer is $9,315

Step-by-step explanation:

Solution

Given that:

The ending cash balance = $9340

Checks outstanding amounted to = $865

The deposit in transit = $840

Bank statement service charges = $25

Now,

We will find the correct adjusted ending cash balance which is given below:

Correct adjusted ending cash balance = Unadjusted Balance - Outstanding Check + Deposit in transit

= $9,340 - $865 + $840

=$8,475 + $840

=$9,315

Hence,

The correct adjusted ending cash balance is $9,315

problem decoded dude

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Answer:

50%

Step-by-step explanation:

There are 6 sides on a die, three Of Which are even and 3 odd.

the even ones are 2,4 and 6 and the odds are 1, 3 and 5

since there are 3 evens, u divide it by the total number of outcomes 6 which is 1/2 or 50percent

Answer:

C.

Step-by-step explanation:

[tex]1.5^2\pi =2.25\pi[/tex]

Answer:

The probability is [tex]2.7327 \times 10^{-9}[/tex]

Step-by-step explanation:

The probability of guessing correctly, P = 0.54

Probability of not guessing correctly, q = 1 – P  

q = 1 – 0.54 = 0.46

Number of trials, n = 32

Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.

Below is the calculation using binomial distribution.

[tex]Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}[/tex]

Answer:

p value is 0.1343

Step-by-step explanation:

Null: u>= 442

Alternative: u < 442

Using the formula for z score:

(x - u)/sd/√n

Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44

z score = 438-442 / (24/√44)

z score = -4/(24/6.6332)

z = -4/3.6182

z =-1.1055

Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.

Answer:

It says your picture failed to load

Step-by-step explanation:

did it only happen to me or other people

Answer:

fraction: 70/100

decimal: 0.7

percent: 70%

Step-by-step explanation:

hope dis helps u! mark as brainlest if possible!

Answer:

B

Step-by-step explanation:

Answer:

[tex] = 4 - 12x \\ [/tex]

Answer C is correct.

Step-by-step explanation:

[tex] - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x[/tex]

hope this helps you.

Answer:

The degree of the polynomial is 3.

By the fundamental theorem of algebra, the function has three roots.

Two roots are given, so there must be one root remaining.

By the complex conjugate theorem, imaginary roots come in pairs.

The final root must be real.

Step-by-step explanation:

The number of roots remaining of the polynomial function f(x) = x³ − 7x − 6, with two roots -2, and 3 already given is 1. The nature of the root will be real.

A polynomial function is a function (say f(x)), which is defined over a polynomial expression in x. It is of the form,

f(x) = a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ, where a₀, a₁, a₂, ..., aₙ are constants, x is a variable, and n ≥ 0.

Degree of the polynomial function = n, the highest power of x.

The fundamental theorem of algebra is that the number of roots or solutions of a polynomial function = The degree of the polynomial function.

According to the complex conjugate theorem, if a polynomial function has complex roots, they will always exist in conjugate pairs, that is, if one root is of the form a + bi, the other root will be a - bi.

We are given a polynomial function f(x) = x³ - 7x - 6. Two roots of the equation are given as -2, and 3.

The degree of the equation = 3, so by the fundamental theorem of algebra number of roots = 3.

2 roots are given, so the number of roots remaining = 1.

Since none of the given roots are complex, the third root can not be complex, as complex roots always exist in conjugate pairs, coming from the complex conjugate theorem. So, the remaining root will be real in nature.

Learn more about the fundamental theorem of algebra and the complex conjugate theorem at

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Answer:

[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]

hope this helps

Answer:

9x +17

Step-by-step explanation:

distrubute the numbers outside of the parenthesis to the inside. You would then be left with 4x +32 + 5x -15 from there you would combine like terms leaving you with 9x + 17

Answer:

Step-by-step explanation:

The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.

9514 1404 393

Answer:

  $226,863.29

Step-by-step explanation:

The amount is given by ...

  A = Pe^(rt)

where principal P is invested at annual rate r for t years.

  A = $47,000×e^(0.0926×17) ≈ $226,863.29

Answer:

the answer is $226,863.29

Answer:

3.5

Step-by-step Explanation:

To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:

==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.

Thus, we would have:

43 (1 dot)

44, 44, 44 (3 dots)

45, 45(2 dots)

47 (1 dot)

48, 48 (2 dots)

Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48

==>Step 2: Find the median

Our median value is the middle value of our data set. Thus:

43, 44, 44, 44, | 45, | 45, 47, 48, 48

Our median would be 45.

==>Step 3: Find the upper and lower median (Q3 & Q1):

Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.

Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:

43, (44, 44,) 44, | 45, | 45, (47, 48,) 48

Upper median (Q3) = (47+48) ÷ 2 = 47.5

Lower median (Q1) = (44+44) ÷ 2 = 44

==>Step 4: Subtract the lower median from the upper median to get the IQR.

IQR = Upper median (Q3) - Lower median (Q1)

IQR = 47.5 - 44

IQR = 3.5

Answer:

Step-by-step Explanation:

To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:

==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.

Thus, we would have:

43 (1 dot)

44, 44, 44 (3 dots)

45, 45(2 dots)

47 (1 dot)

48, 48 (2 dots)

Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48

==>Step 2: Find the median

Our median value is the middle value of our data set. Thus:

43, 44, 44, 44, | 45, | 45, 47, 48, 48

Our median would be 45.

==>Step 3: Find the upper and lower median (Q3 & Q1):

Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.

Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:

43, (44, 44,) 44, | 45, | 45, (47, 48,) 48

Upper median (Q3) = (47+48) ÷ 2 = 47.5

Lower median (Q1) = (44+44) ÷ 2 = 44

==>Step 4: Subtract the lower median from the upper median to get the IQR.

IQR = Upper median (Q3) - Lower median (Q1)

IQR = 47.5 - 44

IQR = 3.5

Answer:

c. One response and one or more explanatory variables are related.

Step-by-step explanation:

Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.

Therefore, regression modeling describes how one response is related to one or more explanatory variables.

Answer:

a) 35.17% probability that fewer than 2 out of 110 transactions are fraudulent

b) 81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either they are fradulent(or seriously fraudulent), or they are not. Transactions are independent. So we use the binomial probability distribution 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.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a. What is the probability that fewer than 2 out of 110 transactions are fraudulent?

2% are fraudulent, so [tex]p = 0.02[/tex]

110 transactions, so [tex]n = 110[/tex]

This is

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{110,0}.(0.02)^{0}.(0.98)^{110} = 0.1084[/tex]

[tex]P(X = 1) = C_{110,1}.(0.02)^{1}.(0.98)^{109} = 0.2433[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1084 + 0.2433 = 0.3517[/tex]

35.17% probability that fewer than 2 out of 110 transactions are fraudulent.

b. What is the probability that fewer than 2 out of 105 transactions are seriously fraudulent?

0.75% are seriously fraudulent, so [tex]p = 0.0075[/tex]

105 transactions, so [tex]n = 105[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = 0) = C_{105,0}.(0.0075)^{0}.(0.9925)^{105} = 0.4536[/tex]

[tex]P(X = 1) = C_{105,1}.(0.0075)^{1}.(0.9925)^{104} = 0.3599[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4536 + 0.3599 = 0.8135[/tex]

81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent

Answer:

Option D

Step-by-step explanation:

Cost for the materials to resurface 1 meter of the road is $750.

∵ 1 kilometer = 1000 meter

∴ 0.25 kilometer = 0.25 × 1000

                            = 250 meters

∵ Cost to resurface 1 meter of road = $750

∴ Cost to resurface 250 meter of road = 750 × 250

                                                                = 187,500

The cost of materials to resurface 0.25 kilometer of a road is $187,500.

Option D is the answer.

Answer:

1. True.

2. Down.

Step-by-step explanation:

1. True. The ball is at its highest point between 1.5 seconds and 2 seconds after it has been thrown. So we round off the time to nearest second to get 2 seconds.

So the ball is at the highest point 2 seconds after it has been thrown.

2.Down. Around 2.5 seconds after the ball is thrown, it carries on going down since the height is decreasing as the time moves on.

Answer: Minerals

Step-by-step explanation:

The Mineral belongs to the geosphere option (3) Mineral is correct.

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.

We have a statement:

Which part of Earth belongs to the geosphere?

The options are:

As we know, air belongs to the atmosphere.

Plants belong to the biosphere

Water belongs to the hydrosphere

Mineral belongs to the geosphere

The mineral is the part of the earth that belongs to the geosphere.

Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.

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Answer:

"The probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%)

Step-by-step explanation:

We have here a normally distributed random variable. The parameters that characterize this distribution is the mean, [tex] \\ \mu[/tex], and the standard deviation, [tex] \\ \sigma[/tex].

In this question, we have that:

And we want to know the probability that a randomly selected single egg "will be with cholesterol content greater than 220 milligrams."

To answer the latter, we need to use the following key concepts:

The z-scores are standardized values and represent the distance (for the raw score) from the mean in standard deviations units. A positive z-score indicates that it is above [tex] \\ \mu[/tex] and, conversely, a negative result that the value is below it.

The cumulative distribution function generates the values for the cumulative standard normal distribution displayed in the standard normal table.

The standard normal distribution is employed to find probabilities for any normally distributed data and we only need to calculate the corresponding z-score (or standardized value). This distribution has a [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].

As we can see, all of these concepts are intertwined, and each of them is important because:

Finding the probability

We can get the z-score using the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where x is the raw value we want to standardize using the previous formula, and, in this case is 220 milligrams, [tex] \\ x = 220[/tex] milligrams.

Thus (without using units):

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{220 - 215}{15}[/tex]

[tex] \\ z = \frac{5}{15}[/tex]

[tex] \\ z = \frac{5}{5} * \frac{1}{3}[/tex]

[tex] \\ z = 1 * \frac{1}{3}[/tex]

[tex] \\ z = 0.3333333...[/tex]

To consult the standard normal table, we only need [tex] \\ z = 0.33[/tex], because it only has values for two decimal digits. As a result, the value will be a little inexact (but near to the true value) compared to that obtained using statistical software (or maybe a more precise table).

With this value (which is positive and, therefore, above the mean), we need to carefully see the first column of the mentioned table to find z = 0.3. Then, in the first row, we only need to select that column for which we can add the next digit, in this case, 3 (it appears as +0.03). That is, we are finding the probability for [tex] \\ z = 0.33[/tex].

Then, the cumulative probability for [tex] \\ z = 0.33[/tex] is:

[tex] \\ P(x<220) = P(z<0.33) = 0.62930[/tex]

However, the question is asking for "cholesterol content greater than 220 milligrams" or

[tex] \\ P(x>220) = P(z>0.33)[/tex]

Since

[tex] \\ P(x<220) + P(x>220) = 1[/tex]

Which is the same for a standardized value:

[tex] \\ P(z<0.33) + P(z>0.33) = 1[/tex]

Then

[tex] \\ P(z>0.33) = 1 - P(z<0.33)[/tex]

Therefore

[tex] \\ P(x>220) = P(z>0.33) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - 0.62930[/tex]

[tex] \\ P(x>220) = 0.37070[/tex]

Thus, "the probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%).

The graph below shows a shaded area that corresponds to the found probability.  

[tex]\displaystyle f(x) = (x + 2)(x + 2)[/tex]

[tex]\displaystyle f(x) = (x + 2)^2[/tex]

Answer:

[tex]f(x) = {(x + 2)}^{2} [/tex]

Step-by-step explanation:

[tex]f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} [/tex]

hope this helps you.

Hey there! :)

Answer:

y = 8x + 6

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Rearrange the given equation to be in this format by isolating the 'y' variable:

8x - y = -6

Subtract -8x from both sides:

-y = -8x - 6

Divide both sides by -1:

y = 8x + 6

This is the slope-intercept form!

Answer:

y=54 degrees

Step-by-step explanation:

2y+72=180

2y=108

y=54

Answer:

B

Step-by-step explanation:

72 + y + y = 180

72 + 2y = 180

2y = 108

2y/2 = 108/2

y = 54

Hope this helps ^-^

Answer:

Brainliest!!!

Step-by-step explanation:

See picture!!

Answer:

29

Step-by-step explanation:

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

Answer:

5 units

Step-by-step explanation:

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Answer:

A 61.00

Step-by-step explanation:

51 Added to 10 Equals 61.00 which is the Cost of 10 Bags of chicken Wings. Your Welcome.

Answer:

[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]      

The p value for this case would be given by"

[tex]p_v =2*P(z>2.347)=0.0189[/tex]  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Step-by-step explanation:

Information given

[tex]\bar X=6.6[/tex] represent the sample mean

[tex]s=\sqrt{0.49}= 0.7[/tex] represent the population deviation

[tex]n=270[/tex] sample size      

[tex]\mu_o =6.5[/tex] represent the value that we want to test    

[tex]\alpha=0.1[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value for the test

Hypothesis to verify

We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:      

Null hypothesis:[tex]\mu= 6.5[/tex]      

Alternative hypothesis:[tex]\mu \neq 6.5[/tex]      

The statistic for this case is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)      

And replacing we got:

[tex]z=\frac{6.6-6.5}{\frac{0.7}{\sqrt{270}}}=2.347[/tex]      

The p value for this case would be given by"

[tex]p_v =2*P(z>2.347)=0.0189[/tex]  

For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications

Answer:

4(x+8) + 5(x-3)

= 4x + 32 + 5x - 15

= 9x + 17

Answer:

9x+17

Step-by-step explanation:

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Answer:

33.3%

Step-by-step explanation:

The numbers greater than 6 from the spinner are 7 and 8.

2 numbers out of total 6 numbers.

2/6 = 1/3

= 0.333

= 33.3%

Answer:

coefficient of the square is a.6