Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.

A system will function if exactly 3 out of 5 componet function with probability of functioning 0.9. The probability the system will function is equals to the 0.9914.

Binomial distribution is a probability distribution used in statistics that defines as a value will take one of two independent values under a set of parameters or assumptions. Formula, P ( X = x)

= nⁿCₓ pˣ(1 -p)⁽ⁿ⁻ˣ⁾

where, P -->binomial probability

We have provided that k out of n system is one which have a group of n components and system will function atleast k of components. Also, consider that components function independently of one another. So, The distribution of the number of components functioning is Binomial, X ~ Binom( n,p).

Probability of functioning of each component in 3 out of 5 system = 0.9

that is Probability of success, p = 0.9 and n = 5.

Now for the system to function at least 3 components must function.

X ~ Binom( 5,0.9)

a) The probability the system will function is determined by using binomial probability formula,

P (X ≥ 3) = 1 - P (X < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

= 1 - ⁵C₀ 0.9⁰ ( 1-0.9)⁵ - ⁵C₁ 0.9¹ ( 1-0.9)⁴ - ⁵C₂ 0.9²(1 -0.9)³

= 1 - (0.1)⁵ - 5(0.9)(0.1)⁴ - 10(0.9)²(0.1)³

= 1− 0.00001 - 0.00045 − 0.0081

= 0.99144

Hence, required probability value is 0.9914.

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\(\longrightarrow{\green{D.\:(x²+5)(x-3)}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( {x}^{3} - 3 {x}^{2} + 5x - 15\)

Taking \(x²\) as common from first two terms and 5 from last two terms, we have

\(➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)\)

Taking the factor \((x-3)\) as common,

\(➝ \: ( {x}^{2} + 5)(x - 3)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Step-by-step explanation:

when you have a problem you can tell me please follow

The equation 5(x + 1) - x = 3(x - 1) + 7 has one solution which is x = -1.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given equation is,

5(x + 1) - x = 3(x - 1) + 7

Using the distributive property,

5(x + 1) = 5x + 5 and 3(x - 1) = 3x - 3

Substituting,

5x + 5 - x = 3x - 3 + 7

(5x - x) + 5 = 3x + (-3 + 7)

4x + 5 = 3x + 4

4x - 3x = 4 - 5

x = -1

Hence the solution of the given equation is -1.

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There are the steps you can take to complete the frequency table, construct a histogram, and construct a pie chart using the data provided in the table below:

| Score | Frequency |
|-------|-----------|
| 40-49 |     2     |
| 50-59 |     3     |
| 60-69 |     5     |
| 70-79 |     6     |
| 80-89 |     4     |

a. To complete the frequency table for the math test scores, simply count the number of scores that fall within each range (e.g. 40-49, 50-59, etc.). You can see that there are 2 scores between 40 and 49, 3 scores between 50 and 59, 5 scores between 60 and 69, 6 scores between 70 and 79, and 4 scores between 80 and 89.

b. To construct a histogram of the data, you will need to plot the frequency of each score range on a graph. The x-axis should show the score ranges (e.g. 40-49, 50-59, etc.) and the y-axis should show the frequency. Each bar on the histogram will represent a score range and its height will represent the frequency. Here is what the histogram would look like for this data:

```
8 |
  |
7 |
  |
6 |           ******
  |         *********
5 |       ***********
  |      ************
4 |     **************
  |    ****************
3 |  ******************
  | *******************
2 |********************
  --------------------
    40-49 50-59 60-69 70-79 80-89
```

c. To construct a pie chart of the data, you will need to calculate the percentage of scores that fall within each range. To do this, add up the frequencies for all the score ranges and divide each frequency by this total. Then, multiply by 100 to get the percentage. Here are the percentages for this data:

- 40-49: 10%
- 50-59: 15%
- 60-69: 25%
- 70-79: 30%
- 80-89: 20%

To create the pie chart, draw a circle and divide it into 5 sections, one for each score range. Each section should be labeled with the score range and its percentage. The size of each section should be proportional to its percentage. Here is what the pie chart would look like for this data:

```
       40-49 (10%)
        -----
      /       \
    /           \
50-59 (15%)   70-79 (30%)
    \           /
      \       /
        -----
       60-69 (25%)

           |
           |
       80-89 (20%)
```

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Answer: x= 5/2, y= 11, z= 3/2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form:

(5/2, 11, 3/2)

The odds against Bucks not winning the race are 2:3, so the probability of Bucks not winning is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

In the given scenario, the odds against the horse Bucks not winning the race are 2:3. To calculate the probability that Bucks not will win the race, we can use the following formula: Probability of an event happening = Number of ways an event can happen / Total number of possible outcomes. In this formula, we can consider the total number of outcomes to be 2 + 3, since these are the only possible outcomes in this situation (either the horse wins or it doesn't). Therefore, the total number of possible outcomes is 5. We can also infer from the given information that the number of ways Bucks not can win is 2. Therefore, the probability of Bucks not winning the race is: Probability of Bucks not winning = Number of ways Bucks not can win / Total number of possible outcomes= 2 / 5= 0.4 or 40%Therefore, the probability that Bucks not will win the race is 0.4 or 40%. This means that for every 10 races, Bucks not is expected to win 4 times, while losing 6 times.

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Answer:

1/4

Step-by-step explanation:

bc 1/4 = 1/8 =1/2

which is equivalent when 5/8 + _ = 7/8

so 5/8 + 1/4 = 7/8

the answer is B

ty

<3

Answer:

hope this helps you

...............

Answer:

it means that the 2 lines will never meet, and that there will be no point where 2 things are the same amount

Answer: lines going in the same direction at a same space without intersecting

Step-by-step explanation:

imagine two rulers on a desk just straight. they dont touch, and they can go on forever.

The diameter of the small volcano 'Pico' would be = 8km

An isoline is defined as the line found on a map that has constant value of either distance, temperature or rainfall.

The isoline that is used in the given map above = 2000m.

The number of lines that surrounds the pico volcano = 4

Therefore the diameter of the volcano = 2000×4 = 8000m

But 1000m = 1km

8000m = 8km

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A person who takes part in all four events receives a 200% discount overall.

To calculate the total discount for a participant who participates in all four events, we need to add up the individual discounts for each event.

Let's assume the regular fee for a single participant is $100 (this is just an arbitrary value for illustration purposes).

For the first event, there is no discount since it's the regular fee.

For the second event, the discount is 30%, so the participant pays only 70% of the regular fee. This means the participant receives a discount of 30% on the regular fee.

For the third event, the discount is 70%, so the participant pays only 30% of the regular fee. This means the participant receives a discount of 70% on the regular fee.

For the fourth event, there is no cost, so the participant receives a 100% discount on the regular fee.

Now let's calculate the total discount:

Total discount = Discount for Event 2 + Discount for Event 3 + Discount for Event 4

             = 30% + 70% + 100%

             = 200%

Therefore, the total discount for a participant who participates in all four events is 200%.

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Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-5x + 10 > -15

-5x > -25

x < 5

(switch direction of inequality sign when multiplying or dividing by a negative number)

Because x < 5, the arrow would go left (more negative) starting at 5, so the answer would be A.

Answer:

-8,-7,-5,-3,-2

-80,-40,20,60

Step-by-step explanation:

The volume V of a cube is given by

where L is the lenght of one side. Hence, the side L measures

In the first case, the dog kennel has 27 ft^3 of volume, hence

that is, L is 3 feets of lenght.

In the same way, for the second case we have that,

that is, in the second case, L is 4 feet of lenght. This means that, 1 foot was added to each edge of the dog kennel.

Answer:

Translate this: Untuk memilih ketua, bendahara, dan sekretaris dari 10 anggota OSIS, kita dapat menggunakan kombinasi.

Jumlah cara menyusun susunan adalah:

C(10, 1) x C(9, 1) x C(8, 1) = 10 x 9 x 8 = 720

Jadi, ada 720 cara yang berbeda untuk menyusun ketua, bendahara, dan sekretaris dari 10 anggota OSIS.

Step-by-step explanation:

Answer:

5,5 is the answer

Step-by-step explanation:

because I calculated and I want brainliest

Answer:

(5.5,5)

Step-by-step explanation:

(8+3)/2=x variable

=5.5

(2+8)/2=y variables

=5

finding the averages

(5.5,5)

The statistical significance of the overall model fit is determined by the p-value for the F-statistic in a regression model.

In further detail, it provides us with the likelihood that, under the null hypothesis that the genuine coefficients in the model are all zero, we will see an F-statistic that is at least as severe as the one estimated from the data.

The widget cost regression model would be considered statistically significant if the F-statistic had a low p-value (usually less than 0.05) and at least one of the predictor variables had a significant linear connection with the response variable.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of x is :

\( \large \boxed{ \mathfrak{Explanation}}\)

\(\huge{\mathfrak{Kaul}}\)

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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Applying the corresponding angles theorem, the measure of angle 3 is: C. 121°.

Using the figure below that shows that line a is parallel to line b, where angle 1 and angle 2 are corresponding angles, based on the corresponding angles theorem, the measure of angle 1 is equal or congruent to angle 2.

Given the following:

Measure of angle 1 = 9x - 4

Measure of angle 2 = 13x - 32

m<1 = m<2 [corresponding angles theorem]

Substitute

9x - 4 = 13x - 32

Solve for the value of x

9x - 13x = 4 - 32

-4x = -28

x = 7

Measure of angle 3 = 180 - (13x - 32)

Plug in the value of x

Measure of angle 3 = 180 - (13(7) - 32)

m<3 = 121°

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Sixteen randomly selected engines were tested, and their maximum horsepower values are provided. Assuming the data is normally distributed and using a significance level of 0.05, the test statistic is computed to assess the hypothesis.

To perform the hypothesis test, we will use a t-test for the mean. The null hypothesis (H0) assumes that the average maximum horsepower for the experimental engines is equal to the calculated maximum horsepower of 630HP. The alternative hypothesis (Ha) assumes that the average maximum horsepower is significantly different from 630HP.

Using the provided data, we calculate the sample mean of the maximum horsepower values:

(643 + 641 + 598 + 621 + 644 + 601 + 649 + 652 + 671 + 653 + 666 + 654 + 670 + 670 + 666 + 654) / 16 = 651.0625

Next, we calculate the sample standard deviation to estimate the population standard deviation:

s = √[((643 - 651.0625)^2 + (641 - 651.0625)^2 + ... + (654 - 651.0625)^2) / (16 - 1)] ≈ 24.663

Using the formula for the t-test statistic:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

t = (651.0625 - 630) / (24.663 / √16) ≈ 2.027

Finally, comparing the calculated t-value of 2.027 with the critical t-value at a significance level of 0.05 (using a t-distribution table or software), we determine whether to reject or fail to reject the null hypothesis. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that there is a significant difference between the average maximum horsepower and the calculated maximum horsepower.

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

THE ANSWER IS -7.5 .

Step-by-step explanation:

-6+5÷-2+1

-6-2.5+1

-6-1.5

-7.5

The answer is -9.5, as we will apply the rule of "BODMAS."

IF MY ANSWER IS HELPFUL TO YOU, THEN PLEASE RATE IT,LIKE IT, FOLLOW ME AND GIVE ME A BRAINLIEST...

\((3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28\)

I hope I helped you^_^

Answer:

Step-by-step explanation: