Write the equation in slope intercept form (y=mx+b) of a line that passes
through the points (1,7) and (3,-5).

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

I think it is (-1/9)(3/5)>-2/15

Based on the amount predicted to be spent, the hypotheses Null Hypothesis = $1,007.24 and Alternate Hypothesis ≠ $1,007.24

The null hypothesis, or H0, in statistics science is the exact reverse of what the researcher wants to investigate. Generally, unless there is compelling proof to the contrary, the null hypothesis is taken to be correct. Another theory that will demonstrate the area one wants to investigate and be reflected by H1 must be developed.

The forecast is confirmed by the null hypothesis, which in this instance is that the typical consumer will indeed spend $1,007.24. According to the Alternate Hypothesis, the predicted occurrence won't occur, so in this instance, the shopper wouldn't spend $1,007.24. In conclusion, the variant contradicts the null hypothesis and supports it.

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Answer:

To solve for the zeros of the function equate f(x) = 0

That's

- 2x² + x + 5 = 0

Using the quadratic formula

\(x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \)

a = - 2 b = 1 c = 5

And from the question

b² - 4ac = 41

So we have

\(x = \frac{ - 1± \sqrt{41} }{2( - 2)} = \frac{ - 1± \sqrt{41} }{ - 4} \)

\(x = \frac{1± \sqrt{41} }{4} \)

We have the final answer as

\(x = \frac{1 + \sqrt{41} }{4} \: \: \: \: or \: \: \: \: x = \frac{1 - \sqrt{41} }{4} \)

Hope this helps you

Answer:

The CORRECT answer is A.

Step-by-step explanation:

just did it.

The remainder when N is divided by 1000 is 106.

The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.

From the question,

First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.

Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways

Four pieces = 6C3 = 20

Five pieces = 6C4 = 15

Six pieces = 6C5 = 6

Seven pieces =6C6 = 1

Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:

Three pieces : 3³ - 3 × 2³ + 3 = 6

Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36

Five  pieces : 3⁵ - 3 × 2⁵ + 3 = 150

Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540

Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806

Adding them together, we get

15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106

Hence, the remainder when it is divided by 1000 is 106.

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Answer:

106

Step-by-step explanation:

Answer:

1. 35 pages in 7 days

2. 63 pages in 9 tables

3. 408 student on 8 buses

Step-by-step explanation:

1)3/25

2)1/25

3)4/25

this is the correct answer

Answer:

see attached picture of the corrected answer

Depends on how many people you are serving. If you are serving say 960 people it would be 4 batches or 2 cups.

Answer:

120

Step-by-step explanation:

1/2×240= 120

or half of 240 cause 1/2 is half of 1

From the graph we see that x takes the values in blue, those values are:

• x > 4,

• x < -4.

Now, the function absolute value |x| is equal, by definition, to:

• x if x > 0,

• -x if x < 0.

Using the absolute value, we represent the values of the graph with the following inequality:

Answer

Answer:

35miles/1 hr=21miles/x hr

= x hr* 35miles/1 hr= 21 miles

= x = 21/35 =0.6 hr

So, traveling at 35mph it will take 0.6 hours to travel 21 miles.

If you want time in mins then keep going:

=> 60 mins = 1 hour, 0.6 hours = x mins

60mins/1 hr = x mins/ 0.6 hr

0.6 * 60 mins = 36 mins.

:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6

8 = 20x

x = 8/20,

simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

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The complete question is "To find the diagonal  x value by the given equation  16x + 2 = 36x - 6 "

An increasing exponential function is defined as follows:

y = a(1 + r)^x.

In which:

For this problem, the function is given as follows:

y = 20000(1.14)^t.

In which the parameters are given as follows:

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The triple integral is Simplifying this is 16 times the negative number 4 over 3, which is the negative number 64 over 3.

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The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

8.5 percent of people between 35 and 54 prefer football.

Answer:

37%

Step-by-step explanation:

There are 27 people between the age of 35 and 54. Of these people, 10 prefer football. To find the percentage, you divide the number of people in the age group who prefer football by the total number of people in the age group.

10/27 = .37037...

or 37.04%

Since it asks for the nearest whole number, 37% of people aged 35-54 prefer football.

Answer:

$0.52

Step-by-step explanation:

1. Find the cost of 1 pencil by dividing the cost of 7 pencils by 7 pencils:

1.82 / 7 = 0.26

This means 1 pencil cost $0.26.

2. To find the cost of 2 pencils multiply the cost of 1 pencil by 2:

0.26 x 2 = 0.52

Hence, 2 pencils cost $0.52 of 7 pencils cost $1.82.

Answer:

Your answers are:

A, B and C

Step-by-step explanation:

So 12 over 3 is equal to 4 which is a Whole number. meaning Not a fraction, an Integer is a whole number (not a fractional number) that can be positive, negative, or zero. Rational numbers would include this example as well

Hope this helped have a wonderful day/night/afternoon

The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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Answer:

you can give her brainliest now c:

Step-by-step explanation:

The given declaration statement "char first = 'a', second, third = 'c';" is invalid because it contains multiple variable declarations separated by commas without individual assignments, which violates the syntax rules of C++ programming.

The given code snippet contains an invalid declaration statement. Your task is to determine whether the statement is valid or invalid. If you believe the statement is valid, select "True." If you think the statement is invalid, select "False." Remember, moving to another question will save your response.

In C++ programming, a valid declaration statement follows the syntax of assigning a value to a variable using the equals sign (=). However, in the given statement, there are multiple variable declarations separated by commas without individual assignments. This violates the syntax rules and makes the statement invalid.

Please select either "True" or "False" to indicate whether the declaration statement is valid or invalid.

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Complete Question

Identify the invalid declaration statement in the following code: char first \( = \) ' \( a \) ', second, third \( = \) ' \( c \) '; True False As Moving to another question will save this response. Please rewrite the complete question.

Answer:

I think the answer is A

1,2

The purpose of accounts receivable confirmations is to obtain third-party verification of the account's balance and to determine how frequently misstatements take place.

Here,

Only a small portion of the entire population is often subject to accounts receivable confirmation. The confirmation's goals are to gain external confirmation of the account's balance and to get a sense of how frequently misstatements in the accounts occur.

The majority of errors revealed by discrepancies on the confirmation replies won't be significant; however, discrepancies must be examined individually and collectively to establish their impact on the total balance of accounts receivable.

Even while the discrepancies between individuals may not be significant, they could point to a significant issue with the internal controls over accounts receivable when applied to the entire population.

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Answer:

21.3188kg or 21.3kg

Step-by-step explanation:

As one kilogram is equal to 2.20462 pounds we can calculate the weight in kilograms by taking 2.20462 / 47 and we get 21.3188kg

Kelly made at least $28 in 75% of the weeks

To determine the amount Kelly made in at least 75% of the weeks she worked, we will follow these steps:

1. Arrange the weekly earnings in ascending order:

16, 18, 21, 21, 28, 28, 32, 35.

2. Calculate 75% of the total number of weeks:

0.75 x 8 = 6 weeks.

3. Identify the earning corresponding to the 6th week: 28 dollars.

So, Kelly made at least $28 in 75% of the weeks she worked.

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Answer:

yes its equal :)

Step-by-step explanation:

3/5= 0.6

Answer:

\(\huge\boxed{\sf Equal \ to}\)

Step-by-step explanation:

=> 3/5 = 0.6

So,

=> 0.6 = 0.6

We'll use "equal to" sign.

Hope this helped!

This statement is False.

Now let us see why:

To check whether the statement E[X^2]=4Var[X] is True or False for the given information, we need to recall the formulas of the expected value and variance of a Poisson distribution.

Equation of a Poisson distribution

P(X = k) = e^(-λ)*λ^(k)/k!, where k is the number of events in the given time interval, λ is the rate at which the events occur

Expected Value of a Poisson distribution:

E(X) = λ

Variance of a Poisson distribution:

Var(X) = λ

So, for a Poisson distribution, E(X^2) can be calculated as follows:

E(X^2) = λ + λ^2

Where, λ = average rate/ mean rate = 1/10 = 0.1

So, E(X^2) = 0.1 + 0.01 = 0.11

And Var(X) = λ = 0.1

Now, let's check whether the statement E[X^2]=4Var[X] is True or False

E[X^2] = 0.11 ≠ 4 * Var[X] = 0.4 (False)

Hence, the statement E[X^2]=4Var[X] is False.

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Answer:

A) y=x+4 b) $12

Step-by-step explanation:

As shown on the graph,

A) select two typical coordinates

{Two points define a straight line}

(12,6) (16,20)

the slope = 20/16-16/12= 4/4=1

y=x+4

b) when x=8

y=8+4=12

The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.

If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.

If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.

However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.

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Answer:

a) The Mode is the number of cubes with the greatest frequency. In this case, I believe that to be 2, as 2 has a frequency of 7, the largest frequency there, I think, however the numbers are very blurry.

b) Total number of adults asked is the total frequency. In this case, that would be 5 + 5 + 7 + 4 + 3 + 2 (I think, again the numbers are hard to make out) which, if I'm correct, would equal 26

c) Total number of coffee drank, I believe you would multiply the number of cups with their frequency each. In this case:

0 × 5 = 0

1 × 5 = 5

2 × 7 = 14

3 × 4 = 12

4 × 3 = 12

5 × 2 = 10

(if I have read the numbers correctly)

Now, you add these totals together, so:

0 + 5 + 14 + 12 + 12 + 10 which gives you 53 total.

d) To calculate the mean of data in a table, firstly, you do the same thing as what question c asks, and multiply the number of cups with their frequencies, which we have already done here, and you add that total, which we have found to be 53 (if all went well with my ability to read the blurry numbers)

Now, there's one final step, you need to divide this number, so 53, by the total frequency, which in part b we found to be 26.

53 ÷ 26 gives us 2.038 which we could round to 2.04

Step-by-step explanation:

NOTE: Due to the risk that I may have read a number incorrectly, I have given a fairly detailed explanation for how I calculated answers to each part of the question, for you to hopefully be able to do yourself if I made an error with reading. I hope I was a good help to you :)