1. is -3 greater or less than -7?
2. [-4]+3= ?
( WILL GIVE BRAINLIEST TO THE CORRECT ANSWER! )

The area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ is 6π square units.

To find the area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ, we need to follow the given steps.

Step 1: Determine the points of intersection of the curves

To determine the points of intersection of the curves, we equate the two curves and solve for θ.

r = 1 cosθ and r = 2-cosθ1

cosθ= 2-cosθ

2 cosθ = 2cosθ = 2/2cosθ

a = 1θ = π/4, 7π/4

So, the curves intersect at the angles θ = π/4 and θ = 7π/4.

Step 2: Determine the area bounded by the two curves

To determine the area bounded by the two curves, we need to integrate the difference of the outer curve and the inner curve with respect to θ between the limits π/4 and 7π/4.

∫(2-cosθ)² - (1 cosθ)² dθ, π/4 ≤ θ ≤ 7π/4

Using the formula (cosθ)² = (1 + cos2θ)/2, we can simplify the expression:

(2-cosθ)² - (1 cosθa)² = (4-4cosθ + cos²θ) - (1-2cosθ + cos²θ)= 3 - 2cosθ

The integral becomes

∫(3-2cosθ) dθ, π/4 ≤ θ ≤ 7π/4

= 3θ - 2 sinθ, π/4 ≤ θ ≤ 7π/4

= 3(7π/4) - 2 sin(7π/4) - 3(π/4) + 2 sin(π/4)

= 21π/4 + √2 + 3π/4 - √2= 6π

So, the area of the region that lies inside the curve r = 1 cosθ and outside the curve r = 2-cosθ is 6π square units.

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Answer:

test score of new student = 43

Step-by-step explanation:

28 x 72 = 2016 (total points class scored)

29 x 71 = 2059 (total points class scored after student joined)

2059 - 2016 = 43

The test score of the student who joined the class is 43.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The mean test score of 28 students is 72.

A student joins the class and the mean becomes 71.

We have to find the test score of the student who joined the class.

28 x 72 = 2016

29 x 71 = 2059 (total points class scored after student joined)

The difference between 2016 and 2059 is the test score of new student.

2059 - 2016 = 43

Hence, the test score of the student who joined the class is 43.

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23.67>23.42

Step-by-step explanation:

imagine the > or < is an alligator

the alligator wants to eat the bigger number

23.67 is bigger than 23.42

so the alligator wants to eat 23.67

the number before the decimal might be the same but look at the number after the decimal

0.67 and 0.42

0.67 is bigger than 0.42

The mistake that the researcher made is that; neither critical nor obtained Chi squares can have negative values

A chi-square statistic is one way to show a relationship between two categorical variables. In statistics, there are two types of variables: numerical (countable) variables and non-numerical (categorical) variables.

The chi-squared statistic is a single number that tells you how much difference exists between your observed counts and the counts you would expect if there were no relationship at all in the population.

Now, Chi square (χ²) is the sum of a set of squared values, and as such it can never be negative. The minimum chi - squared value would be obtained if each Z = 0 so that χ² would also be 0. There is no upper limit to the χ² value. Similarly, the critical chi square cannot also be negative.

Thus, we can conclude that the mistake that the researcher made is that neither critical nor obtained Chi squares can have negative values

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(a) To compute the confidence interval, use a t-distribution. (b) With a 98% confidence, the population mean minutes of concentration is between 33.012 and 41.388 minutes. (c) If many groups of 41 randomly selected members are studied, approximately 98% of these confidence intervals will contain the true population mean minutes of concentration, while approximately 2% will not contain the true population mean minutes of concentration.

(a) To compute the confidence interval, a t-distribution is used because the sample size (41) is relatively small, and the population standard deviation is unknown.

(b) To calculate the confidence interval, we use the formula:

Confidence Interval = sample mean ± (critical value) * (standard deviation / sqrt(sample size))

The critical value is obtained from the t-distribution, and for a 98% confidence level with 40 degrees of freedom (n-1), it is approximately 2.704.

Plugging in the given values, we have:

Sample mean = 37.2 minutes

Standard deviation = 13.1 minutes

Sample size = 41

Critical value (t-score) = 2.704

Calculating the margin of error as:

Margin of Error = (critical value) * (standard deviation / sqrt(sample size))

= 2.704 * (13.1 / sqrt(41))

≈ 4.688

Now we can construct the confidence interval:

Confidence Interval = sample mean ± Margin of Error

= 37.2 ± 4.688

≈ (33.012, 41.388)

Thus, with a 98% confidence, the population mean minutes of concentration is estimated to be between 33.012 and 41.388 minutes.

(c) If many groups of 41 randomly selected members are studied and confidence intervals are calculated, approximately 98% of these intervals will contain the true population mean minutes of concentration, while approximately 2% will not contain the true population mean minutes of concentration. This is due to the nature of confidence intervals and the probability of capturing the true population mean within each interval.

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Answer:

x > 2

Step-by-step explanation:

-1/2x + 6 < 4x - 3

Start by adding 1/2x to both sides to get both x's on the same side

6 < 4 1/2x - 3

Add 3 to both sides to keep the x's by themselves on one side

9 < 4 1/2x

Divide both sides by 4 1/2 to get x by itself

2 < x  so x > 2

Answer:

\(\boxed{\boxed{\tt x>2}}\)

Step-by-step explanation:

\(\tt -\cfrac{1}{2}x+6<4x-3\)

Subtract 6 from both sides:

Now, subtract 4x from both sides:

Multiply both sides by -1:

Multiply both sides by 2:

Divide both sides by 9:

____________________________

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer: \(x=12\)

Step-by-step explanation:

\(9+9=3(x-6)\)

simplify: add the 9's together and distribute the 3

\(18=3x-18\)

add 18 to both sides

\(36=3x\)

divide by 3

\(12=x\)

\(x=12\)

Answer:

okay so god,dog,now,won,noon,doom,mood,not,ton,pool

Step-by-step explanation:

Answer:

Area = 314.2 cm²

Step-by-step explanation:

Area of a circle = πr²

π = 3.142

r = 10 cm

Area of the circle = 3.142 × 10²

Area = 3.142 × 100

Area = 314.2 cm²

Answer:

314.2

Step-by-step explanation:

Multiply the diameter by pi

The length of WZ is 7.5

the measure of angle Y is 45 degrees

The length of WZ is solved using proportion since the quadrilaterals are similar.

The proportion is solved using side QR and WX

= WX / QR = 5 / 2 = 2.5

From QT we solve for WZ, QT = 3 in

WZ = 2.5 * QT = 2.5 * 3 = 7.5

For similar quadrilaterals, the corresponding angles are congruent hence

< S = < Y = 45 degrees

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The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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The total length of the reel of thread is 5 meters, which is equal to 500 centimeters. Since Lahon used 300 centimeters of thread, he has 200 centimeters of thread left.

Lahon recently purchased a reel of thread that was 5 meters long. This is equivalent to 500 centimeters. He then used 300 centimeters of the thread for sewing. This leaves him with 200 centimeters of thread remaining. This can be expressed as 2 meters. Thus, Lahon has 2 meters of thread left from the reel of thread that he originally bought. This leftover thread can be used for other sewing projects or kept for future use. It is important to keep track of how much thread has been used and how much is left to ensure that an adequate amount of thread is available for future projects. The total length of the reel of thread is 5 meters, which is equal to 500 centimeters. Since Lahon used 300 centimeters of thread, he has 200 centimeters of thread left.

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Answer:

Step-by-step explanation:

GH =~ AX

<W =~ <F

Answer:

Given:

Corresponding sides or angles are congruent

1429 cubic centimeters is the  volume of contents the chef will be able to fill the bowl.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Chef uses a bowl shape which has radius of 8cm to prepare her avocado lime sauce.

We have to find the volume of contents the chef will be able to fill the bowl with using her estimation upto 2/3.

Firstly let us find volume of bowl.

Volume=4/3πr³

=4/3×3.14×(8)³

=2143.5

To find the amount of contents the chef can fill the bowl with, we need to multiply this volume by 2/3,

So 2143.5×2/3

1429.04 cubic centimeters.

Hence,  the chef will be able to fill the bowl with about 1429 cubic centimeters of avocado lime sauce.

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Answer:

Hey there

It is 60466176

Answer:

60,466,176

Step-by-step explanation:

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6

The correct alternative hypothesis is H1: pL> pH.

We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.

Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.

a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:

H1: PL > pH

This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.

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As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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Based on the information provided, the circle graph represents the preferences of the citizens for their favorite type of pet. we can calculate the number of citizens who chose cats by multiplying the total number of citizens (130,000) by that percentage. If the graph shows that 40% of citizens chose cats, then the calculation would be 130,000 * 0.40 = 52,000 citizens who chose cats as their favorite pets.

According to the circle graph, we can see that the blue section represents the percentage of citizens who chose cats as their favorite type of pet. To find out the actual number of citizens who chose cats, we need to use the information that 130,000 citizens answered the question.

First, we need to determine what percentage of citizens chose cats. From the graph, it looks like the blue section represents about 35% of the total.

To calculate this percentage as a decimal, we divide 35 by 100:

35/100 = 0.35

Now we can use this decimal to find out how many citizens chose cats:

0.35 x 130,000 = 45,500

Therefore, approximately 45,500 citizens chose cats as their favorite type of pet.

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Answer:

\(\frac{1}{\sqrt{2}}\)

Step-by-step explanation:

Based on the given data, the probability that the next item Josh delivers will be pizza is 2/9 or 0.22 (rounded to two decimal places).

To find the probability of the next item being pizza, we need to determine how many times pizza was delivered out of the total number of deliveries made. From the given data, we can see that pizza was delivered twice out of a total of nine deliveries. Therefore, the probability of pizza being the next item delivered is:

Number of times pizza was delivered / Total number of deliveries = 2/9

This can also be expressed as a decimal or percentage:

2/9 = 0.22 (rounded to two decimal places) or 22%

To calculate the probability, we need to find the ratio of the number of times pizza was delivered to the total number of deliveries. In this case, pizza was delivered twice, and there were 9 total deliveries (pizza, sandwiches, ice cream, pizza, fast food, groceries, sandwiches, groceries, fast food). So, the probability is 2 (pizzas) divided by 9 (total deliveries), which can be written as the fraction 2/9.

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Answer:

4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

64,339 = π(r^2)(20)

r^2 = 1,023.987

r = 32 ft

Answer:

Here is your answer!

Answer:

2 I guess not sure of the answer

Answer
3/4

Step-by-step explanation
3/

6

+ 1/

4

= 3 · 2/

6 · 2

+ 1 · 3/

4 · 3

= 6/

12

+ 3/

12

= 6 + 3/

12

= 9/

12

= 3 · 3/

3 · 4

= 3/

4