Solve the following using distributive property:
9(x+3)=4x-3​

The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

Learn more about probability

brainly.com/question/11234923

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value

https://brainly.com/question/30701897

#SPJ4

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

To learn more about t-distribution value here:

brainly.com/question/30701897

#SPJ4

Answer:

628

Step-by-step explanation:

Well, if you x's are multiplication signs, then the answer is 628 because

6x100=600, 1x10=10, 7x1=7,  9x1=9, 2x1=2 and then add them all up:

600+10+7+9+2=628

Answer:

628

Step-by-step explanation:

6x100= 600

1x10= 10

7x1= 7

9x1= 9

2x1= 2

600 + 10 = 610

7 + 9 = 16

16 + 2 = 18

610 + 18 = 628

Answer:

CD ->

Step-by-step explanation:

The arrow is only pointing to one side  of the diagram.

hope you get it right!

Answer:

1) y=-8

2) y=0

Step-by-step explanation:

I just plugged it in for the domain (x)

(honestly its been a while since I've done tis so I'm only about 74% sure)

Answer:

Step-by-step explanation: To find out what grade Sally needs to earn on her fifth and last math test to achieve a 90 average, we  use the following steps:

Step 1: Add the total points Sally has received: 80 + 82 + 92 + 98 = 352.

Sally has taken 4 tests so far.

Step 2: Find the total marks required for a 90 average on 5 tests: 90 x 5 = 450.

Step 3: Find the score Sally needs to achieve on her fifth test by subtracting the points earned  from the total required points: 450 - 352 = 98.

Therefore, Sally needs to earn a grade of 98 on her 5th and last test to achieve a 90 average on all five tests this semester.

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

Learn more about  probability  from

https://brainly.com/question/30390037

#SPJ11

The given improper integral ∫(pœ dx) may converge to a finite value, diverge to infinity, diverge to negative infinity, or diverge altogether.

The convergence or divergence of the integral depends on the value of the exponent p and the behavior of the integrand function as x approaches certain limits.

To determine the convergence or divergence of the improper integral ∫(pœ dx), we need more information about the integrand function and the limits of integration. The symbol "pœ" is not defined, so we cannot provide a specific evaluation for the integral.

However, we can discuss the possible scenarios. If the integrand function has a singularity or behaves in such a way that the integral becomes unbounded as x approaches a certain value, then the integral may diverge to infinity or negative infinity. If the integrand function approaches zero or remains bounded as x approaches the limits of integration, then the integral may converge to a finite value. Lastly, if the integrand function oscillates or does not have a well-defined behavior, the integral may diverge altogether.

Without further information about the integrand function and the limits of integration, it is not possible to determine the exact value or the convergence/divergence nature of the given improper integral.

To learn more about integral click here:

brainly.com/question/31059545

#SPJ11

Answer:

Arithmetic

Step-by-step explanation:

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

To know more about amount visit:
https://brainly.com/question/32453941

#SPJ11

The one-way ANOVA model for the response variable is y ij = μ + τ i + ε ij

The one-way ANOVA model for the response variable in the context of an experiment assessing the effect of multiple treatments is as follows:

y ij = μ + τ i + ε ij

where:

y ij represents the jth value of the response variable for the ith treatment.

μ is the overall mean of the response variable.

τ i is the effect of the ith treatment.

ε ij is the random error term representing the variability in the response variable that is not explained by the treatments.

In this model, the treatment effect (τ_i) represents the differences in the response variable among the different treatments. The error term (ε_ij) accounts for the random variability and any other factors that may influence the response variable but are not included in the model.

The goal of performing the ANOVA is to assess whether there are significant differences in the means of the response variable across the treatments. This is done by analyzing the variation between the treatment means (sums of squares) and comparing it to the variation within each treatment group (residual sums of squares). The F-test is commonly used for this purpose.

By analyzing the model, we can estimate the treatment means, test for the significance of the treatment effects, and make inferences about the differences between the treatment means. The model provides a framework for understanding the relationship between the treatments and the response variable in the context of the experiment.

To know more about ANOVA click here :

https://brainly.com/question/31983907

#SPJ4

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

To know more about the word maximum visits :

https://brainly.com/question/30693656

#SPJ11

Answer:

4/2x is the slope

and the y intercept is -3

Answer:

the slope is 2

Step-by-step explanation:

4/2 = 2

hii

Answer: it is

Step-by-step explanation: the next numbers are 1.5, 3, 4.5.

Answer:

10 tickets in total                                                                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

Fun world:

7.65 = 1

8.30 = 2

8.95 = 3

9.60 = 4

10.25 = 5

Game time:

9.25 = 1

9.50 = 2

9.75 = 3

10.00 = 4

10.25 = 5

I really hope this helped you! And i'm sure you won't go to summer school!

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

The correlation is unlikely to have come from a zero association population that is option B.

The p-value being less than .05 indicates that there is less than a 5% chance that the correlation coefficient of .32 could have been obtained by random chance alone, assuming a null hypothesis of zero correlation. Therefore, it is unlikely that the correlation came from a population with zero association. This does not tell us whether the correlation is statistically significant or not, as this is dependent on factors such as sample size and the desired level of significance. The p-value also does not indicate the effect size or direction of the correlation.

To know more about correlation,

https://brainly.com/question/31963083

#SPJ11

Answer:

Step-by-step explanation:

Step-by-step explanation:

.hhx cvs Gunther b but kcm

I can explain how to solve the subtraction problem using the Left to Right Algorithm:

To perform the Left to Right Algorithm, we start from the leftmost digit of the numbers and subtract each corresponding digit until we reach the end of the numbers. If the digit being subtracted from is smaller than the digit being subtracted, we borrow from the next digit to the left.

Using this algorithm, we can solve the problem as follows:

  3 1 3 1

- 1 6 4 1

---------

  2 1 6 0

Therefore, 3131 - 1641 = 2160.

To know more about algorithm refer here:

https://brainly.com/question/31936515

#SPJ11

Approximately 200 entries per hour were being deposited at 5pm, 2400 entries were deposited between noon and 8pm, 800 entries had not yet been processed by midnight, and entries were being processed most quickly at 8pm.

a) At 5pm, the rate at which entries were being deposited can be approximated by taking the difference between the number of entries at that time and the previous time, 4pm. This is (400-200) / (5-4) = 200 entries per hour.

b) The value of the trapezoidal sum can be approximated by taking the average between the upper and lower boundaries of the subintervals and then multiplying by the width of the intervals. In this case, (200+400+600+800)/2 x 4 = 2400 entries. This represents the total number of entries deposited between noon and 8 pm.

c) According to the model, the number of entries that had not yet been processed by midnight is p(8) = 800 entries.

d) According to the model, the entries were being processed most quickly at 8 pm, since it is the time where p(t) is at its maximum of 800 entries per hour.

Approximately 200 entries per hour were being deposited at 5pm, 2400 entries were deposited between noon and 8pm, 800 entries had not yet been processed by midnight, and entries were being processed most quickly at 8pm.

Learn more about trapezoidal sum here:

https://brainly.com/question/9328613

#SPJ4

If the radius to the inside of the shell is 4 millimeters and the radius to the outside of the shell is 4.3 millimeters. the volume of the shell is 19π mm³.

v = 4 / 3πr³

dv =4 / 3π (3r²) dr

Where:

r= radius = 4 cm

dr = 4.3 -4 = 0.3

Hence,

dv = 4 / 3π (16) 3/10

dv =4 / 3π(16) 0.3

dv = 19.2π mm³

dv = 19π mm³ (Approximately)

Therefore the volume of the shell is 19π mm³.

Learn more about Volume of the shell here: https://brainly.com/question/13478013

#SPJ1

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

From the given options, she could be checking two of them:

This is because she is trying to prove that the difference of 105 and one of the numbers is the other number. What we use to prove a substraction is an addition.

Answer:

\(\huge{\boxed{\boxed{\tt { ⎆ ✍ Answer :- }}}} \ \)

\(18 + 5x = 8x \\ 18 = 8x - 5x \\ 18 = 3x \\ \frac{18}{3} = x \\ 6 = x\)

Answer:

18 + 5x = 8x

5 -8 = 3x

18 = 3x

18 divded by 3 = 6

x = 6

Step-by-step explanation:

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

More about the surface area of the rectangular prism link is given below.

https://brainly.com/question/14987814

#SPJ1

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

To know more about goodness-of-fit tests, refer here:

https://brainly.com/question/32668212#

#SPJ11