Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each description with the correct inequality.
(5x)2 ≤ 46
(5x)2 ≥ 46
x2 + 5x ≤ 46
5x2 < 46
5x2 > 46
x2 + 5x ≥ 46
The square of the product
of 5 and a number is
no less than 46.
arrowBoth
The sum of the square of a
number and five times that
number is no more than 46.
arrowBoth
The product of 5 and the
square of a number is
greater than 46.
arrowBoth

The dimension of the rectangle is 7.26 and 8.26.

The dimension of the rectangle is calculated as follows;

let the length = x + 1

let the width = x

Area of the rectangle = (x + 1)(x) = 60

(x + 1)(x) = 60

x² + x = 60

x² + x - 60 = 0

Solve the quadratic equation using formula method;

x = 7.26

width = 7.26

length = 1 + 7.26 = 8.26

Learn more about area of rectangle here: https://brainly.com/question/25292087

#SPJ1

The complete question is below:

A rectangle has area of x(x +1) = 60, find the dimensions of the rectangle

The correct answer is II. Rescales the distribution by dividing by the standard deviation.  This transformation does not change the shape or skewness of the distribution and does not create outliers.

Standardizing a distribution means converting it into a standard normal distribution with a mean of 0 and a standard deviation of 1.

This is achieved by subtracting the mean from each value and then dividing by the standard deviation.

Standardizing does not shift the distribution, change its skewness or symmetry, or create outliers.

Standardizing a distribution involves transforming the original data so that it has a mean of 0 and a standard deviation of 1.

This transformation is useful because it allows for comparisons between variables that may be measured on different scales, and it simplifies the interpretation of statistical results.

Standardizing does not change the shape or skewness of the distribution, nor does it create outliers.

Learn more about Standardizing

brainly.com/question/15287326

#SPJ11

Answer:

the whole thing would be  (-5,4)

Step-by-step explanation:

1 would be -5

2 would be 4

3 would be (-5,4)

4 would be (4,-5)

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

To know more about surveys refer here:

https://brainly.com/question/31685434#

#SPJ11

Answer:

B

Step-by-step explanation:

Look at the angle of the slope and the direction

Answer:

953.78 in³

Step-by-step explanation:

Area of circle = πr²

The area of the base

= 3.14×(9÷2)²

= 63.585 in²

The capacity of the container

= 63.585×15

= 953.775 in³

The probability that Esteban wins the game is 29/49.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, Esteban is playing a matching card game.

If the cards are identical, he wins the game.

Probability of getting cross on both the cards

2/7 × 2/7

= 4/49

Probability of getting star on both the cards

5/7 × 5/7

= 25/49

Probability to win the game is

4/49 + 25/49

= 29/49

Therefore, the probability that Esteban wins the game is 29/49.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

Answer:

the answer is 15 hdkdiemidd

Answer:

0.1875, or 3/16

Step-by-step explanation:

The formula for density is mass/volume.

I hope this helps :)

Answer:

\({\boxed {\sf \frac{3}{16} \ g/cm^3}}\)

or

\(\boxed {\sf 0.1875 \ g/cm^3}}\)

Step-by-step explanation:

Density can be found by dividing the mass by the volume.

\(\rho= \frac{m}{v}\)

The mass of the cork is 3 grams and the volume is 16 cubic centimeters.

\(m= 3 \ g\\v= 16 \ cm^3\)

Substitute the values into the formula.

\(\rho = \frac{3 \ g }{16 \ cm^3}\)

Divide.

\(\rho=\frac {3}{16} \ g/cm^3\)

\(\rho=0.1875 \ g/cm^3\)

The density of the cork is 3/16 or 0.1875 grams per cubic centimeter.

Answer:

The answer is 1197.42

Step-by-step explanation:

The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

To learn more about triangles, follow the link.

https://brainly.com/question/2437195

#SPJ1

Answer: Marcie will pay $25.97

Step-by-step explanation:

Answer:

If you don't try yes

Step-by-step explanation:

Answer:

im not sure but you should try your best

Explanation:

High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

To know more about Strategy, visit

https://brainly.com/question/29081531

#SPJ11

Answer:

Nancy had 7 correct answers.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.  Let's assign the variable c to represent the number of correct answers Nancy had and the variable i represent the number of incorrect answers she had.

We know that the total number of answers is 10 because it is given that she answered all 10 problems.  This lets us set up the first equation as follows:

c + i = 10

Then, we can set up a second equation using the number of points (29 total).  We know that +5 points were added for each correct response (c) and -2 points were added for each incorrect response (i).  Our next equation will look like this:

5c - 2i = 29

There are many different strategies one can use to solve systems of equations.  In this case, I am going to use combination.  This means I am going to add the two equations together.  However, first I should multiply our first equation by 2 so that the "I" variable terms cancel out.  This is modeled below:

2c + 2i = 20

Now we can add the two equations:

5c + 2c +2i - 2i = 20 +29

Now we can simplify the equation by combining the like terms to get:

7c = 49

Finally, we should divide both sides of the equation by 7 in order to get the variable c by itself on the left side of the equation.

c = 7

Therefore, the correct number of responses Nancy gave was 7.

Hope this helps!

Answer:

27/4 or 6 3/4

Step-by-step explanation:

Change all mixed numbers into improper fractions

2 1/9 = 19/9

6 1/4 = 25/4

19/9 ÷ 2/3 - 25/4 x 2/5

dividing fractions you can multiply and use reciprocal of the fraction (means you switch the top and bottom numbers)

19/9 x 3/2 - 25/4 x 2/5

you can reduce the top and bottom numbers to make them smaller by dividing. find a common number to divide them by, you can cross out the numbers and just put the new equation below

19/3 x 1/2 - 5/4 x 2/1

multiply across the fractions first PEMDAS, then subtract

19/6 - 10/4 (multiply by 2 and 3 respectively to get both bottom numbers the same, multiply by the same number on top)

57/12 - 30/12 = 27/12

1/5 x 1/3 + 2/5 x 2/3

1/15 + 4/15 = 5/15 or 1/3

27/12 / 1/3

you can multiply the fractions and flip the top and bottom numbers of 1/3

27/12 x 3/1

reduce 12 and 3

27/4 x 1/1 = 27/4 or 6 3/4

Answer:

\(9.27 \times {10}^{6} \)

C is correct.

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

Learn more about the Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ4

If I were to use a cluster sampling method to determine the GPA of students at my school, the process would involve the following steps:

Define clusters: Divide the student population into clusters based on a certain criterion, such as grade level, academic program, or department. For example, I might divide the students into clusters by grade level, such as 9th grade, 10th grade, and so on.

Randomly select clusters: Randomly select a specific number of clusters from the available clusters. This can be done using a random number generator or a random selection method.

Determine cluster size: Determine the size of each selected cluster by counting the number of students within each cluster. This information will help determine the proportion of the student population represented by each cluster.

Select sample units: From each selected cluster, randomly select a sample of students. The sample size from each cluster can be determined based on the desired representation of that cluster within the overall sample. For example, if a cluster represents 10% of the student population, the sample size from that cluster might be chosen to represent 10% of the overall sample.

Collect data: Once the sample units are selected, collect the necessary data for each selected student. In this case, collect the GPAs of the selected students.

Calculate GPA: Calculate the GPA for each student based on the data collected. This can be done by using the grading scale and methodology employed by the school.

Analyze data: Analyze the collected data to determine the average GPA and any other relevant statistics or trends among the selected students.

It's important to note that cluster sampling involves selecting representative clusters from the population rather than individual students. This method can help save time and resources by reducing the need to collect data from the entire population. However, it's crucial to ensure that the selected clusters are truly representative of the overall population to obtain valid results.

Learn more about cluster problem here:

https://brainly.com/question/29348692

#SPJ11

Answer:

Answer: B.-1/2

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

1. Multiply all terms by the same value to eliminate fraction denominators

   x/3=8

   3(x/3)=8(3)

2. Cancel multipled terms that are in the same denminator

   3(x/3)=8(3)

    x=3(8)

3. Multiply the numbers

   x=3(8)

   x=24

Written in Standard Form: 5u^(2)v^(2)+5u^(2)u+4uv^(2)-4uv

Simplified: 5u^(2)v+4uv^(2)+5u^(2)v^(2)-4uv

Brainliest or a thank you please this took me a while to type :)) <3

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

The question is incomplete. The complete question is :

A population of mutant Venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

Solution :

It is given that:

Venus fly trap plant  is capturing everything on its way from small insects to other small rodents.

When they were first discovered, it covered an area of 4 square kilometers. But as more population grew and as years passed by, they spread over large land and covered more land.

Now from the table, it is seen that :

It covered 4 km square when discovered.

Then it covered 6.68 km square in the first year.

It covered 11.16 km square in the second year.

It covered 18.63 km square in the third year.

It covered 31.11 km square in the fourth year.

Therefore the equation which represents the growth is given by :

\($y=4(1.67)^x$\)

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

Learn more about Laplace transform  here:

https://brainly.com/question/1597221

#SPJ11

Answer:

2.7

Step-by-step explanation:

The answer to the question is 2.7

If X is normally distributed with a mean of 30 and a standard deviation of 10,  P(30 ≤ X ≤ 47) is 0.455. So, correct option is A.

To find P(30 ≤ X ≤ 47) for a normally distributed variable X with a mean of 30 and a standard deviation of 10, we can use the standard normal distribution.

First, we need to standardize the values of 30 and 47 using the formula:

Z = (X - μ) / σ

where Z is the standard score, X is the given value, μ is the mean, and σ is the standard deviation.

For 30, the standard score Z is:

Z = (30 - 30) / 10 = 0

For 47, the standard score Z is:

Z = (47 - 30) / 10 = 1.7

Now, we can use a standard normal distribution table or calculator to find the probability associated with the standard scores.

P(30 ≤ X ≤ 47) = P(0 ≤ Z ≤ 1.7)

Using a standard normal distribution table, we find that P(0 ≤ Z ≤ 1.7) is approximately 0.455.

Therefore, the correct option is a) 0.455, as it represents the probability of the given interval 30 ≤ X ≤ 47 under the normal distribution.

To learn more about probability click on,

https://brainly.com/question/30991528

#SPJ4

Answer:

C

Step-by-step explanation: