PLEASE HELP ME OLEASE UT URGENT !

The compound inequality given is "and" inequality.

Compound inequalities are inequalities which consist of more than two expressions connected with two or more inequality signs.

Compound inequality can be divided into two or more simple inequalities.

"And" inequalities are those compound inequalities where both the inequalities need to be true for the statement to be true.

"Or" inequality needs only any one of them true.

Given inequality is,

6 > x + 1 > 3

Subtracting 1 throughout,

5 > x > 2

Here x lies between 2 and 5 where x > 2 and x < 5.

Hence this inequality is "and" inequality.

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The box measures 100.79 cm by 100.79 cm by 50.40 cm in size, which minimizes the quantity of material used.

Given,

Let the side of the square base be x

h be the height of the box

Volume V = x²h

512000 = x²h

h = 512000/x² ..... 1

Surface area =  x² + 2xh + 2xh

Surface area S =  x² + 4xh  ...... 2

Substitute 1 into 2;

From 2;

S =  x² + 4xh

S = x² + 4x(512000/x²)

S = x² + 2048000/x

To minimize the amount of material used;

dS/dx = 0

dS/dx = 2x - 2048000/x²

0 = 2x - 2048000/x²

0 = 2x³ - 2048000

2x³ = 2048000

x³ = 1024000

x = ∛1024000

x = 100.79 cm

Since Volume = x²h

512000 = 100.79²h

h = 512000/10158.62

h = 50.40 cm

Hence the dimensions of the box that minimize the amount of material used is 100.79 cm by 100.79 cm by 50.40 cm

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Answer

Quadrant I

Step-by-step explanation

Hence, point A is located on the Quadrant I

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

The apothem is 11 cm. Hope this helps!

Answer:

Step-by-step explanation:

Lets call the number n.

So the cube of this number is \(n^3\) and the sum of 7 and the cube of this number is \(7+n^3\)

The unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

We can start by finding the unit rate of water dropped per hour.

If the sink drips \($\frac{2}{5}$\) gallon of water in 4 hours, then it drips \(\frac{1}{5}$\) gallon of water in 2 hours (since \((\frac{2}{4} = \frac{1}{2}$).\)

The unit rate of water dropped per hour is:

\($\frac{1/5}{2} = \frac{1}{10}$\) gallon per hour.

To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:

\($\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$\)

Therefore, the unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.

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The unit rate of water dropped per day is 12/5 gallons.

To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these

steps:

Determine how many gallons of water are dripped in one hour.

Calculate the gallons of water dripped in 24 hours (one day).

Calculate gallons per hour.

Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:

(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10

So, the sink drips 1/10 gallons per hour.

Calculate gallons per day.

Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:

(1/10) × 24 = 24/10 = 12/5

The unit rate of water dropped per day is 12/5 gallons.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1) quotient of 32 and 4 is 32/4

8 more than means + 8

so 32÷4 + 8

2) quotient of 12 and 6 is 12/6

8 more than means + 8

so 12÷6 + 8

3) 7 * 4 + 3

here multiplication gets preference

so it is (7*4) + 3

3 more than the product of 7 and 4

4) 35 ÷ (12 - 5)

here parentheses gets preference

so it can be called as

35 divided by the difference of 12 and 5

or the quotient of 35 and the difference of 12 and 5

5) fill the boxes as below

16 divided by 4 = 16 ÷ 4

16 - 4

16 * 4

16 + 4

16 ÷ 4

16 * 4

16 + 4

16 - 4

The true statements about the populations and land areas are:

The population density of an area is obtained by dividing the population of the city or village by the area or land mass. Population density is defined as the population per unit of land area.

Based on the available information, we can say that the population density of city B is obtained with the ratios of population and density. Also, the calculation of the population densities will show that City B is greater than City C.

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Answer:

16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

15

Step-by-step explanation:

Answer:

 3pi is irrational.

Step-by-step explanation:

An irrational number multiplied by a rational number is always irrational.

:)

A datagram with the destination IP address 158.30.142.30 would be routed to port 10011110 00011110 10001110 00011110.

What is an IP address explain?

Can I change my IP address?

What is IP address in WIFI?

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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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Answer:

08:00

Step-by-step explanation:

The two towns are distance 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

60 miles

1 inch = 20 miles

3 inches = 20 miles x 3 = 60 miles

The scale of a map is a way of expressing the relationship between the distances on the map and the actual distances in the world. If the scale on a map is 1 inch to 20 miles then it means that 1 inch on the map represents 20 miles in the real world. If two towns are 3 inches apart on the map, then this means that the actual distance between them is 3 times the scale, or 3 x 20 miles = 60 miles.

The two towns are 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

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a) The 95% confidence interval for the proportion of aircraft with wiring errors is approximately 0.0039 to 0.0061. b) A sample size of 2481 would be required to estimate p with a 95% confidence interval of ±0.008.

To construct a normal probability plot, follow these steps: 1. Sort the data in ascending order.

2. Calculate the z-scores corresponding to each data point using the formula: z = (x - mean) / standard deviation, where x is the data point, mean is the sample mean, and standard deviation is the sample standard deviation.

3. Rank the data points from smallest to largest.

4. Calculate the percentile rank for each data point using the formula: percentile rank = (i - 0.5) / (n), where i is the rank of the data point and n is the total number of data points.

5. Plot the ordered data points on the y-axis and the corresponding z-scores (or percentiles) on the x-axis.

Interpreting the normal probability plot:

- If the plotted points roughly follow a straight line without any noticeable deviations or patterns, it suggests that the data is approximately normally distributed.

- If the plotted points deviate significantly from a straight line, it indicates departures from normality.

Based on the visual inspection of the normal probability plot, you can make an assessment of whether the data seems reasonably normally distributed.

Regarding the second question about estimating the proportion of aircraft with wiring errors:

(a) To find a 95% confidence interval on the proportion of aircraft with wiring errors, we can use the formula for a confidence interval for proportions

where is the sample proportion, z is the z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.

Given that 8 out of 1600 aircraft were found to have wiring errors, the sample proportion is = 8/1600 = 0.005.

Using a z-score of approximately 1.96 for a 95% confidence level, we can calculate the confidence interval:

CI = 0.005 ± 1.96 * sqrt((0.005 * (1 - 0.005)) / 1600)

Simplifying the calculation will yield the lower and upper bounds of the confidence interval.

(b) To determine the required sample size to produce an estimate of p that is 95% confident within a certain margin of error, we can use the formula for the sample size of a proportion

where n is the required sample size, z is the z-score corresponding to the desired confidence level (95% in this case), is the preliminary estimate of the proportion, and E is the desired margin of error.

In this case, we want the estimate to be within 0.008 of the true proportion, so E = 0.008.

Given the preliminary estimate  (which can be obtained from initial data or an educated guess), we can substitute these values into the formula and solve for n.

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Answer:

C) 8

Step-by-step explanation:

5x=2x+24

5x-2x=24

3x=24

x=8

Answer:

-60x^3+3x^2

Step-by-step explanation:

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A 60 purchases in a single day would represent the 92.7th percentile.

To answer this question, we need to calculate the average number of purchases per day and the standard deviation of the number of purchases per day. Then, we can use the normal distribution to determine the percentile that represents 60 purchases in a single day.

1. Average number of purchases per day:
Since 10% of potential customers buy a product, out of 500 visitors, 10% will be 500 * 0.10 = 50 purchases.

2. Standard deviation of the number of purchases per day:
To calculate the standard deviation, we need to find the variance first. The variance is equal to the average number of purchases per day, which is 50. So, the standard deviation is the square root of the variance, which is sqrt(50) = 7.07.

3. Percentile of 60 purchases in a single day:
We can use the normal distribution to calculate the percentile. We'll use the Z-score formula, which is (X - mean) / standard deviation, where X is the number of purchases in a single day. In this case, X = 60.

Z-score = (60 - 50) / 7.07 = 1.41

Using a Z-score table or calculator, we can find that the percentile associated with a Z-score of 1.41 is approximately 92.7%. Therefore, 60 purchases in a single day would represent the 92.7th percentile.

In conclusion, 60 purchases in a single day would represent the 92.7th percentile.

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352.74 empty calories did miya consume on this 1-day menu.

Hence option d. 352.74 empty calories is correct.

According to the my plate analysis report, how many empty calories did Miya consume on this 1-day menu.

Empty calories refer to those calories that are devoid of any nutrient and provide only energy.

Miya's 1-day menu needs to be analyzed to determine the empty calories count.

The options provided are:

a. 793.34 empty calories

b. 693.74 empty calories

c. 593.54 empty calories

d. 352.74 empty calories.

Let us understand the concept of empty calories in detail.

Empty calories refer to the calories provided by foods that contain little to no nutrients, like vitamins and minerals. Common sources of empty calories are sugary snacks and alcohol.

Though these foods provide energy, they lack the essential vitamins, minerals, and fiber that the body requires for optimal health.

Therefore, empty calories should be limited in the diet.

To determine the empty calories consumed by Miya, we need to know the nutrient content of her 1-day menu.

Once the nutrient content is known, we can subtract the total calories from empty calories to determine the number of calories that are not empty.

Let us assume that Miya's total calorie intake for the day is 1500 calories. Out of this, the my plate analysis report says that empty calories should not exceed 362 calories.

Therefore, the non-empty calories will be: 1500 - 362 = 1138 calories

From this, we can determine the correct option.

Let us substitute the values given in the options :

a. 793.34 empty calories: 1500 - 793.34 = 706.66

non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

b. 693.74 empty calories: 1500 - 693.74 = 806.26 non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

c. 593.54 empty calories: 1500 - 593.54 = 906.46 non-empty calories, which is less than 1138.

Therefore, this option is incorrect.

d. 352.74 empty calories: 1500 - 352.74 = 1147.26 non-empty calories, which is greater than 1138.

Therefore, this option is the correct answer.

So, the number of empty calories consumed by Miya on this 1-day menu is 352.74 empty calories.

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Answer:

9/41

Step-by-step explanation:

cos=adjacent/hypotenuse

adjacent=9

hypotenuse=41

Answer: 8

Step-by-step explanation:

64 ÷[4* 27 (-5^2

-5 times -5 =25

27-25=2

4*2=8

64 divided by 8= 8

8 is your answer

The distance from the center of  \($\bigodot M$\) to the center of \($\bigodot N$\) is 8.

We are given that;

Radius=5

ab=6

Now,

To find the distance between the centers, we can use the Pythagorean theorem:

\($$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$$\)

\($$r_1 = r_2 = 5$$$$(x_1, y_1) = (0, 0)$$$$(x_2, y_2) = (a, b)$$\)

Plugging these values into the formula for d, we get:

\($$d = \sqrt{(0 - a)^2 + (0 - b)^2}$$$$d = \sqrt{a^2 + b^2}$$\)

\($$h = 2\sqrt{r^2 - (\frac{d}{2})^2}$$\)

Where r is the radius of either circle, and d is the distance between their centers.

Plugging in the values of r and h, we get:

\($$6 = 2\sqrt{5^2 - (\frac{d}{2})^2}$$$$3 = \sqrt{25 - (\frac{d}{2})^2}$$$$9 = 25 - (\frac{d}{2})^2$$$$(\frac{d}{2})^2 = 16$$$$\frac{d}{2} = \pm 4$$$$d = \pm 8$$\)

Since d is a positive distance, we take the positive value:

d = 8

Therefore, by the distance answer will be 8.

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Answer:

30°, 60° and 90°

Step-by-step explanation:

Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.

Note that a right angled triangle is made up of two acute angles and a right angled (90°)

Let's get one of the acute angles first

If Arccos (√3/2)=β

β = cos^-1 √3/2

β = 30°

This shows that one of the acute angles is 30°

To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.

90+30+x = 180

120+x = 180

x = 180-120

x = 60°

All the angle measurement for the right angled triangle are 30°, 60° and 90°

The probability that a randomly chosen card from a standard deck of 52 cards is red is 1/2.

To determine the probability of picking a red card, we need to understand the composition of a standard deck of playing cards. A standard deck consists of 52 cards, which are divided into four suits: hearts, diamonds, clubs, and spades. The hearts and diamonds are considered red suits, while the clubs and spades are considered black suits.

Out of the 52 cards in the deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 clubs and 13 spades). Since each card has an equal chance of being picked when chosen randomly, the probability of selecting a red card is the ratio of the number of red cards to the total number of cards in the deck.

Therefore, the probability of picking a red card is 26 (number of red cards) divided by 52 (total number of cards), which simplifies to 1/2.

In conclusion, when picking a card at random from a standard deck, the probability of selecting a red card is 1/2.

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Hey ! there

Answer:

Step-by-step explanation:

In this question we are given with three sides of a triangle that are as follows ,

And we are asked to :

We know that for finding perimeter of any shape we must have to add all the sides of the shape or ,

\( \qquad \: \underline{\boxed{\frak{Perimeter = Sum \: of \: all \: sides}}}\)

Solution : -

( a )

Now adding all the three sides of triangle to find the perimeter .

\( \hookrightarrow \quad \: ( x + 5 ) + ( 2 x + 4 ) + ( 2x - 3 ) \)

\( \hookrightarrow \quad \: \: x + 5 + 2x + 4 + 2x - 3\)

Combining like terms :

\( \hookrightarrow \quad \:x + 2x + 2x + 5 + 4 - 3\)

Now , solving :

\( \hookrightarrow \quad \: \red{\underline{ \boxed{ \frak{(5x + 6) \: cm}}}}\)

( b )

Now , we are finding perimeter of triangle when value of x is 10 . So substituting value of x in given sides of triangle ,

First Side :

Second Side :

Third Side :

So , all the sides are 15 cm , 24 cm and 17 cm .

Now , adding all these to find perimeter .

\( \hookrightarrow \qquad \: 15 + 24 + 17\)

\(\hookrightarrow \qquad \: 39 + 17\)

\(\hookrightarrow \qquad \: \red{\underline{\boxed{\frak{56 \: cm}}}}\)

Alternative Solution : -

As above we have find the perimeter of triangle in term of x that is ( 5x + 6 ) cm. So we can put value of x as 10 in this to get perimeter. So ,

Therefore, perimeter of triangle is 56 cm .

To find the perimeter of a shape, we should add all sides , like so :

x+5+2x+4+2x-3

Combine the x's :

x+2x+2x+5+4-3

x+4x+9-3

5x+6

5x+6 cm

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b.

Find the perimeter of the triangle if x = 10

Just write 10 instead of x :

5(10)+6

5(10) simplifies to 50 ↓

50+6

56

hope helpful ~

Answer:

1.12x=952

x=850L

Step-by-step explanation:

Answer:

850 L

Step-by-step explanation:

Make an equation:

1.12x = 952

Solve for x:

x = 850