What is the y-intercept of this equation? y= 5x + 2

Answer:

p=7

Step-by-step explanation:

pqrs equal to tuv perimeters =60

triangle=20×3

60

Trapezium=(p+8)+12+12+3p

60=4p+32

4p=28

p=7

Step-by-step explanation:

There is a technical glitch due to which the answer is not being submitted here. Thus, I am attaching the sloution via attaching a file.

Answer:

PQ = 64

Step-by-step explanation:

PQ = PK + KQ

10x - 16 = 6x + 8 + 8

10x - 16 = 6x + 16

4x = 32

x = 8

PQ = 10(8) - 16

     = 80 - 16

     = 64

Answer: To find the inverse of a function f(x), we need to switch the x and y variables and then solve for y.

So, the inverse function f^-1(x) of f(x) = 2x - 3 is:

f^-1(x) = (x+3)/2

This is the inverse of the function, and it can be denoted by f^-1(x) = (x+3)/2

Step-by-step explanation:

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

Answer:

2.82

Step-by-step explanation:

A pint is two cups, and 5.64 divided by 2= 2.82

Billy's health score go down  by 75% if his sugar resources are quadrupled

Let the amount of sugar in Billy's kitchen be denoted by S and the number of cookies he can bake be denoted by C. Let his health score be denoted by H. Then we have the following relationships:

C ∝ S (directly proportional)

C ∝ 1/H (inversely proportional)

Combining these two relationships, we get:

C ∝ S/H

If S is quadrupled, then C will also quadruple according to the first relationship. However, H will decrease by some percentage x according to the second relationship. To find x, we can use the fact that C is proportional to S/H:

C = k*S/H

where k is a constant of proportionality. If S is quadrupled, then C will also quadruple, so we have:

4C = k4S/H

C = kS/(H/4)

This tells us that if S is quadrupled, then C will be divided by H/4. In other words, C/H will be divided by 4. So, the percentage decrease in H can be found as follows:

C/H → (C/H)/4 = (S/H)/(4/k) → x = 100%*(1 - 1/4) = 75%

Therefore, if Billy's sugar resources are quadrupled, his health score will go down by 75%.

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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We are asked to determine the equation of a line with a slope 1/3. The general form of a line equation is:

Where "m" is the slope and "b" the y-intercept.

Now, we substitute the value of the slope:

Now, to determine the value of "b" we will use the fact that the line passes through the point (x, y) = (

6, 8). Now, we plug in these values in the equation:

Solving the product on the right side we get:

Now, we subtract 2 from both sides:

Now, we substitute the value in the equation of the line:

And thus we get the equation of the line.

EXPLANATION

Replacing the given functions into the following:

Removing the parentheses and simplifying:

Simplifying like terms:

Hence,

Answer: The answer is Ture.

Step-by-step explanation: 4b means the product of four and a number and + 19 means 19 more.

Answer:

the answer is D 50 hours

Step-by-step explanation:

hope this helped

Answer:

3 cars =1 hour

150 cars=x hours

=cross multiply(3x=150)x=50h

The following statement "If a regression model has high bias, it is unlikely that collecting more data to train/build the model will increase its performance on a validation or test set" is absolutely true.

If a regression model has high bias, it means that it is oversimplified and unable to capture the complexity of the data. Collecting more data may not necessarily improve the model's performance on a validation or test set because the model is already too simple to effectively model the data. In fact, increasing the amount of data may actually make the bias worse by further emphasizing the oversimplified nature of the model. To improve the performance of a model with high bias, it is usually necessary to use a more complex model or introduce additional features to the model.

If a regression model has high bias, it means the model is oversimplified and does not capture the underlying patterns in the data. Collecting more data to train/build the model is unlikely to increase its performance on a validation or test set in terms of SSE (Sum of Squared Errors), MSE (Mean Squared Error), or R2 (R-squared) because the model's simplicity prevents it from learning the necessary complexity to accurately represent the data. To improve the model's performance, it's important to consider reducing the bias by using more complex models or incorporating additional features.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

No, the table does not represent a proportional relationship.

Answer:a. We can use the range approximation formula to estimate the value of s for this set:

s ≈ (range) / 4

To find the range, we subtract the smallest value from the largest value in the set:

range = max - min = 6 - 1 = 5

So, s ≈ (5) / 4 = 1.25.

b. To find the standard deviation s of this data set, we first need to calculate its mean (average):

mean = sum of values / number of values = (5+2+3+6+1+2+4+5+1+3) / 10 = 32 /10 =3.2

Next, we need to calculate each deviation from this mean and square them:

(5-3.2)^2 + (2-3.2)^2 + ... + (3-3.2)^2 = (-0.8)^2 + (-1)^2 + ... +(0.8^")^"

= [(-0.64) ]+[(-1)]+[(-0,49)]+[...]+[(0,64)] ≈ [(0)+(1)+(0)+(7)+(+9)] =17

Then divide by n−1 and take a square root: s= sqrt[17/(10−1)] =sqrt(17/9) ≈sqrt(1,89) ≈±~ ±~** <font color="red"></font>\mathbf{+-}\textbf{\color{red}}* \mathbf{~}\textbf{\color{red}}* \approx ±\mathbf{}\textbf{\color{red}}\sqrt{\mathbf{}.}\text{}[16%]

Therefore, the standard deviation of this data set is approximately ±1.36.

c. Here is a dotplot of the data set:

0 |  

  |  

  |

  |

  |

-+-----+--

   1 2 3 4 5 6

The data does not appear to be mound-shaped; rather, it seems skewed to the right.

d. Yes, we can use Chebyshev's theorem to describe this data set because it applies to any distribution, regardless of its shape or symmetry. According to Chebyshev's theorem at least

(1 - (1/k^2)) *100 %

of the measurements lie within k standard deviations from the mean for any value of k greater than one. Using Chebyshev's inequality with k=2 gives us:

At least [1-(1/2²)]*100% =75% of the measurements are within two standard deviations of the mean.

e. We cannot use Empirical Rule to describe this dataset as it only applies when there is a normal distribution present in our dataset with known mean and known variance or Standard Deviation that fulfills certain criteria such as being symmetric and having no outliers which might affect our results significantly if present in large numbers. However, based on our dot plot we see that there is skewness and presence of outliers so Empirical rule won't hold true here

Step-by-step explanation:

Answer:

The first one.

Step-by-step explanation:

Functions do not have repeating x values.

Answer:

30.2%

Step-by-step explanation:

a. For each slot there are 10 possible numbers (0-9). Since there are no restrictions, the number in each slot is independent of the other. We can calculate the total number of possibilities using the product rule.

N = 10 × 10 × 10 × 10 × 10 = 10⁵

b. For the first slot, there are 10 possibilities.

For the second slot, we cannot repeat the number that we used in the first slot, so there are 9 possibilities.

For the third slot, we cannot repeat any of the previous numbers, so there are 8 possibilities.

For the fourth slot, we cannot repeat any of the previous numbers, so there are 7 possibilities.

For the fifth slot, we cannot repeat any of the previous numbers, so there are 6 possibilities.

The total number of combinations without any repetitions are:

10 × 9 × 8 × 7 × 6 = 30,240

c. The probability that the safe's five numbers do not repeat is:

P = favorable outcomes / possible outcomes

P =  30,240 / 10⁵ = 30.2%

Johanna is conducting an experiment to measure the height that different people can jump using a trampoline. The data collected in this experiment can be used to identify trends and patterns in the jumping ability of the participants.

To conduct the experiment, Johanna will need to gather a sample of participants of various ages, genders, and fitness levels. She will then need to ensure that each participant jumps on the trampoline using the same technique and is measured in the same way to ensure accuracy and consistency of the data.

After collecting the data, Johanna can analyze it to identify any trends or patterns in the jumping ability of the participants. She may use statistical methods such as calculating the mean, median, mode, range, and standard deviation of the data to better understand the results. She may also use graphs and charts to visually represent the data and identify any outliers or anomalies.

Overall, Johanna's experiment can provide valuable insights into the jumping ability of different people and may be useful in designing training programs or evaluating the effectiveness of trampoline exercises.

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Given :

ATQ,

the volume of the model is thrice the height of the model

so,

the volume of the statue would be thrice it's height

hence,the height of the statue would be 13,500 cm

The value of s from the given expression is  -2 - 4r

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

-2 = 4r + s

Subtract 4r from both sides

-2 - 4r = 4r + s - 4r

-2 - 4r = s

Swap

s = -2 - 4r

Hence the value of s from the given expression is  -2 - 4r

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Answer:

\(\sf- 2 - 4r = s\)

Step-by-step explanation:

\( \sf - 2 = 4r + s\)

Subtract 4r from both sides and make s the subject.

\( \sf - 2 - 4r = 4r - 4r + s \\ \sf- 2 - 4r = s \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

If the rectangle is 9 cm longer than it's width , and the width is 1/7th of perimeter , then the length of rectangle is 15 cm and width of rectangle is  6 cm.

let the rectangle's length be  = l cm ;

and let the width of rectangle is  = w cm ;

the length is 9 cm longer than its width , that means ;

⇒ l = w + 9  ...equation(1)

and the width is 1/7 of perimeter , then

⇒ w = (1/7)(2l + 2w)

⇒ w = 2/7(l  + w)  .....equation(2) ;

substituting value of equation(1) in equation(2) ;

we get ;

⇒ w = (2/7) × ( w + 9 + w ) ;

on simplifying ,

we get ;

⇒ w = 6 .

from equation(1) ⇒ l = 6 + 9 = 15 .

Therefore , the length is 15 cm and width is 6 cm .

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In 1927 charles lindberg had his first solo flight across the atlantic ocean, then the he fly each hour 107.76 miles/hour.

Based on the given conditions,

In 1927 charles lindberg had his first solo flight across the atlantic ocean.

He flew 3610 miles in 33.5 hours

So,

We can write,

To find out the unit rate, divide the total distance by the total time

Then,

33.5 hours = 3610 miles

1 hour = x miles

Cross Multiply

33.5 hours × x miles = 3610 miles × 1 hour

x miles = 3610 miles × 1 hour/33.5 hours

x miles = 107.76119403 miles

Approximately = 107.76 miles per hour

Therefore,

In 1927 charles lindberg had his first solo flight across the atlantic ocean, then the he fly each hour 107.76 miles/hour.

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Answer:

Step-by-step explanation:

Correct choice is C

Answer:

-6

Step-by-step explanation:

Given expression:

\(\log_2\left(\dfrac{1}{64}\right)\)

\(\textsf{Apply the log quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay\)

\(\implies \log_21-\log_264\)

\(\textsf{Apply log law}: \quad \log_a1=0\)

\(\implies 0-\log_264\)

\(\implies -\log_264\)

Rewrite 64 as 2⁶:

\(\implies -\log_2(2^6)\)

\(\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax\)

\(\implies -6\log_22\)

\(\textsf{Apply log law}: \quad \log_aa=1\)

\(\implies -6 \cdot 1\)

\(\implies -6\)

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Answer:

48

Step-by-step explanation:

You will be using the  Pythagorean theorem for this problem. assuming the bigger triangle is double the size of the smaller triangle on the right, we would first plug in the numbers for the smaller triangle: \(16^{2} + B = 27^{2}\) which would come out to  21.7. then we could say that since like i said before the bigger triangle is double the other one, the bottom side of the triangle would be 32 (16 + 16) and would use the pythagorean theorem again, giving us our answer.

Answer:

the answer is B hope it helps

Step-by-step explanation:

A has no solution.

15x - 45 = 15x + 75

-45 = 75

is false for every value of x.

in other words, when you add to the same thing different amounts, the result cannot be identical ever.

B has a solution

-45x - 45 = -75x + 75

-120x = 120

-x = 1

x = -1

C has a solution

45x - 45 = -15x + 75

60x = 120

x = 2

D has a solution

15x - 45 = 75x + 75

-120 = 60x

-2 = x