How do you make 3x-4=y standard form

Answer:

We have, 14% × x = 15

or, 14100 × x = 15

Multiplying both sides by 100 and dividing both sides by 14,

we have x = 15 × 10014

x = 107.14

If you are using a calculator, simply enter 15×100÷14, which will give you the answer.

Answer:

y=2x and y=-x+9

Step-by-step explanation:

The probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

To calculate the probability that the sample mean is 36 or more pieces of candy, we need to use the properties of the normal distribution. Given that the population mean is 35 pieces of candy and the standard deviation is 5 pieces, we can use the Central Limit Theorem.
The Central Limit Theorem states that as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. Since the sample size is 40, we can assume a normal distribution.
To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n),

where x is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.
In this case, x = 36, μ = 35,

σ = 5, and n = 40.

Plugging these values into the formula, we get z = (36 - 35) / (5 / √40)

≈ 0.8944.
To find the probability that the sample mean is 36 or more, we need to calculate the area under the normal curve to the right of z = 0.8944. Using a standard normal table or a calculator, we find that the probability is approximately 0.1867, or 18.67%.
Therefore, the probability that the sample mean is 36 or more pieces of candy is approximately 18.67%.

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Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units

Answer:

undifined(if it is a fraction)

Step-by-step explanation:

you cannot divide by 0

Answer:

Undefined

Step-by-step explanation:

You cannot divide a number by zero, so its result is undefined

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

Calculate the probability of more than 1 student contacting the Advising Office during a randomly selected one-minute interval between 8:00a.m. and 9:00a.m., we can use the Poisson distribution with a mean of 2 students per minute. The probability is approximately 0.7358.

The Poisson distribution is commonly used to model the number of events that occur in a fixed interval of time or space, given a known average rate of occurrence. In this case, the mean number of students contacting the Advising Office per minute is 2.

To find the probability of more than 1 student contacting the office during a one-minute interval, we can use the Poisson probability formula:

P(X > 1) = 1 - P(X <= 1)

Using the Poisson distribution formula, we can calculate the probabilities for X = 0 and X = 1, and then subtract them from 1 to find the probability of more than 1 student.

\(P(X = 0) = (e^(-λ) * λ^0) / 0! = e^(-2) ≈ 0.1353\)

\(P(X = 1) = (e^(-λ) * λ^1) / 1! = 2 * e^(-2) ≈ 0.2707\)

P(X > 1) = 1 - (P(X = 0) + P(X = 1))

= 1 - (0.1353 + 0.2707)

≈ 0.7358

Therefore, the probability of more than 1 student contacting the Advising Office during a randomly selected one-minute interval between 8:00a.m. and 9:00a.m. is approximately 0.7358, or 73.58% rounded to four decimal places.

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Answer:

bsdqư

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The value of p and q in the equation are -10 and 21 respectively.

The value of p and q will be found in the equation before we can form another equation with p and q.

Therefore,

p + q = 11

2p+ q = 1

using elimination method

p = 1 - 11

p = -10

q = 11 + 10

q = 21

Therefore,

3p + 2q = 12 (let's check if its correct)

3(-10) + 2(21) = -30 + 42 = 12

Therefore, 3p + 2q = 12 is correct.

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The balloons reached the same altitude after 30 seconds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. 

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

Purple balloon altitude = 2.5 t+0 m = 2.5 t

Starting at a height of 15 meters above sea level, the gold balloon rose 2 meters every second.

Altitude of the gold balloon: 2 t + 15 m

Hence , The balloons reached the same altitude after 30 seconds.

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The plots are just rough sketches to give you an idea of how the cumulative response record and acquisition curve might look based on the provided data. a) figure 2 , b) figure3.

A cumulative response record is a graphical representation of the total number of responses accumulated over time in an experiment. It shows the cumulative sum of responses at each time point, indicating the overall progress or acquisition of the behavior being measured.

To plot a cumulative response record for the given data, you need to calculate the cumulative sum of responses at each time point. Here's how you can do it:

a. Plotting the cumulative response record:

Time (s) on the x-axis and Cumulative Sum on the y-axis.

Here's the plot: (Attached figure 2)

b. Plotting the acquisition or response curve on a separate graph:

Time (s) on the x-axis and Number of Responses on the y-axis.

Here's the plot: (Attached figure 3)

Therefore, the plots are just rough sketches to give you an idea of how the cumulative response record and acquisition curve might look based on the provided data.a) figure 2 , b) figure3.

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Answer:

$112.50

Step-by-step explanation:

25% is $37.50

37.50x3=112.50

Answer:

its 112.50

Step-by-step explanation:

i got it right

The algebraic equation that could be used to solve the problem is C. n + 4n = 2.10.

An algebraic equation is a mathematical statement that represents the equality of two expressions, using one or more variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To solve this problem, we can use algebraic equations. Let's use the variable "n" to represent the number of nickels that Peggy has.

From the problem statement, we know that Peggy has four times as many quarters as nickels, which means she has 4n quarters.

We also know that she has a total of $2.10 in all. The value of her nickels is 0.05n dollars each, and the value of her quarters is 0.25(4n) = n dollars each. So we can set up the following equation:

0.05n + 0.25(4n) = 2.10

Simplifying this equation, we get:

0.05n + n = 0.525

1.05n = 2.10

n = 2

Therefore, Peggy has 2 nickels and 4(2) = 8 quarters.

Hence, the equation that could be used to solve the problem is C. n + 4n = 2.10.

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Answer:40ft/second

Step-by-step explanation:

Divide 160ft by 4sec to find the unit rate.

Answer:

40

Step-by-step explanation:

You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40

Hope this helps! Good luck :)

The one of the given factor of the polynomial x³−x²−5x−3 is (x -3) and other factors is given by option b. ( x + 1 )².

The polynomial is equal to,

x³−x²−5x−3

One of the factor of the polynomial x³−x²−5x−3 is equal to

(x - 3 )

To get the remaining factors of the polynomial factorize it by given factor we have,

x³−x²−5x−3

= x³ - 3x² + 2x² -6x + x -3

= x² (x - 3 ) + 2x ( x - 3 ) + 1 ( x -3 )

= ( x -3 ) ( x² + 2x + 1 )

Factorize it further to get the simple factors of the polynomial.

= ( x -3 ) ( x² + x + x + 1)

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

= ( x -3 ) ( x + 1 )²

Therefore, the other factors of the polynomial is equal to option b. (x+ 1)².

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The above question is incomplete, the complete question is:

Given a polynomial and one of its factors, drag the remaining factors of the polynomial into the bin.

x³−x²−5x−3; x−3

a. (x-1)   b. ( x+1)²  c. ( 2x+ 1)  d. 3x - 1

There are 846720 different values possible for the sum of xyx and yxy.

Let's denote the three digits of xyx as a, b, and c, such that xyx = 100a + 10b + c, and the three digits of yxy as d, e, and f, such that yxy = 100d + 10e + f. Note that x and y are distinct non-zero digits, so a, b, c, d, e, and f are all distinct non-zero digits.

The sum of xyx and yxy is (100a + 10b + c) + (100d + 10e + f), which simplifies to 100(a+d) + 20(b+e) + (c+f).

We want to find how many different values are possible for the sum. Since a, b, c, d, e, and f are all distinct non-zero digits, we can consider each of them separately.

For a given value of a, there are 9 choices for d (since d cannot be equal to a), and once we have chosen d, there are 8 choices for e (since e cannot be equal to either a or d). Similarly, there are 7 choices for f (since f cannot be equal to a, d, or e).

So, for a fixed value of a, the number of possible values of the sum is the number of possible values of (100(a+d) + 20(b+e) + (c+f)), which is simply the number of possible values of (20(b+e) + (c+f)), since 100(a+d) is fixed.

There are 8 choices for b (since b cannot be equal to a), and once we have chosen b, there are 7 choices for c (since c cannot be equal to either a or b). Similarly, there are 6 choices for e (since e cannot be equal to either a, d, or b), and 5 choices for f (since f cannot be equal to either a, d, e, or c).

Therefore, the total number of possible values of the sum is:

9 × 8 × 7 × 8 × 7 × 6 × 5 = 846720

Therefore, there are 846720 different values possible for the sum of xyx and yxy.

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Answer: 416

Step-by-step explanation: 12+14=26

26x16=416

The area of the carpet he needs to buy is 608 square centimeters.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that,

Carpet contains two triangular shapes and a rectangular shape.

In order to find the total area of the carpet needed to buy, we need to find the individual area of the rectangular portion and triangular portion.

Area of a rectangle = Length × width

Length of rectangular portion = 12 + 14 = 26 cm

Width = 16 cm

Area of rectangular portion = 26 cm × 16 cm

                                              = 416 cm²

Area of a triangle = \(\frac{1}{2}\) × base × height

Base of the first triangle = 38 - 26 = 12 cm

Height = 16 cm

Area of first triangle = \(\frac{1}{2}\) × 12 × 16 = 96 cm²

Base of second = 12 cm and height = 32 - 16 = 16 cm

Area of second triangle = \(\frac{1}{2}\) × 12 × 16 = 96 cm²

Total area = 416 cm² + 96 cm² + 96 cm² = 608 cm²

Hence the area is 608 cm².

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Answer:77.94

Step-by-step explanation:

The length of Stan's movie is 2 hours 25 minutes

The length of Talia's movie is 2 hours 55 minutes.

In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.

Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.

Length of the movie = time the movie ended - time the movie started

Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours

Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours

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Answer:

Experimental = 8/25 = 0.32 = 32%

Theoretical = 1/6 = 0.16 - 16.6%

Step-by-step explanation:

Experimental probability is the number of attempts you took and the umber of times you got a certain value. In this case it is 8/25.

This can be written as a decimal or percentage = 0.32 = 32%

Theoretical Probability is when you attempt something with a biased instrument. and the number of times you expect to get a certain value is the theoretical probability.

So, since this 6 sided dice was your instrument, we know that there is a total of 6 numbers on there and the number three appears only once.

So, the theoretical probability = 1/6

This can be written as a decimal or percentage too = 0.16 = 16.6%

Hope this helps

Answer:

=42+115x

10x

Step-by-step explanation:

3(7/5x+ 4) – 2( 3/2- 5/4)

=21/5x+12-2(6/4-5/4)

=21/5x+12-2×1/4

=21/5x+12-1/2

=21/5x+24/2-1/2

=21/5x+23/2

=42/10x+115x/10x

=42+115x

10x

Answer:

Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.

Step-by-step explanation:

There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:

Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.

Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.

Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.

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sjdffdghddffffdbdbbfbdhdbdbfbd

Answer:

A.

While D is partially correct, A is the way to go, because samples are easier to collect than whole populations. The internet quotes, "It is a much quicker process and is more time efficient." This proves the theory why A is the correct answer.

Answer:

TABLE

x      4        5      6       7       8        9         10        11         12

y    100    125   150    175    200    225   250      275     300

GRAPH

x    0      2       4        6         8            10       12

y    0     60    120     180     240       300      360

Value of y on graph - Value of y on table = 360 - 300 = 60

option C

Answer:

It will take Jake 0 hours and It will take Brianna 15 hours

Step-by-step explanation:

Let x be the no. of hours taken by Brianna to complete work alone

We are given that Jake does a job in 15 hours less time than Brianna

So,Jake work alone in hours =x-15

We are given that  they can do the job together in 10 hours

So, \(\frac{1}{x-15}+\frac{1}{x}=\frac{1}{10}\\\frac{x+x-15}{(x-15)x}=\frac{1}{10}\\x=3,15\)

So, Brianna complete work in 15 hours

So, Jake work alone in hours =x-15=15-15=0

So, It will take Jake 0 hours and It will take Brianna 15 hours