for a continuously differentiable function , that the hessian matrix be positive definite is what type of condition for a critical point of to be a local minimizer for ?

Answer:

£1.95

Step-by-step explanation:

£41.01 + £49.54 + £12.50 = £103.05

£105 - £103.05 = £1.95

Answer:

it is second one

it is a RAY

Answer : the answer is true

The distribution of the number of business majors you choose is not binomial. The correct option is c) not binomial.

The distribution of the number of business majors you choose is not binomial because the conditions for a binomial distribution are not met:

1. There must be a fixed number of trials: In this case, we are choosing 3 students out of 10, which means the number of trials is not fixed.

2. The trials must be independent: This assumption is reasonable, as choosing one student does not affect the probability of choosing another student.

3. The probability of success must be the same for each trial: The probability of choosing a business major is 0.4 for the first trial, but it will change for the second and third trials depending on the results of the previous trials. Therefore, the probability of success is not the same for each trial.

Therefore, the correct option is c) not binomial.

The complete question is:

In a group of 10 college students, 4 are business majors. You choose 3 of the 10 students at random and ask their major. The distribution of the number of business majors you choose is

(a) Binomial with n = 10 and p = 0.4

(b) Binomial with n = 3 and p = 0.4

(c) Not binomial

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The intervals start from 0 and increase by 1 for each subsequent set. The interval notation [a, b) represents all the real numbers greater than or equal to a and less than b.

1. Let's evaluate each set operation:

a) A ∩ (B ∪ C):

B ∪ C = {2, 3, 4, 5}

A ∩ (B ∪ C) = {2, 3}  (the elements that are common to both A and (B ∪ C))

b) (A ∩ B) ∪ C:

A ∩ B = {2, 3}

(A ∩ B) ∪ C = {2, 3, 4, 5}  (the elements that are either in A ∩ B or in C)

c) (A ∩ B) ∪ (A ∩ C):

A ∩ C = {3}

(A ∩ B) ∪ (A ∩ C) = {2, 3}  (the elements that are either in A ∩ B or in A ∩ C)

Comparing the results:

A ∩ (B ∪ C) = {2, 3}

(A ∩ B) ∪ C = {2, 3, 4, 5}

(A ∩ B) ∪ (A ∩ C) = {2, 3}

From the above evaluations, we can see that (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C), so these two sets are equal.

2. Examples of partitions:

a) A partition of Z (integers) consisting of 2 sets:

{..., -2, 0, 2, 4, ...} and {..., -3, -1, 1, 3, ...}

b) A partition of R (real numbers) consisting of infinitely many sets:

{[0, 1)}, [1, 2), [2, 3), [3, 4), ...}

In this example, each set in the partition includes all the real numbers within a specific interval. The intervals start from 0 and increase by 1 for each subsequent set. The interval notation [a, b) represents all the real numbers greater than or equal to a and less than b.

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The perimeter of the triangle is 23.623 units.

What is perimeter of triangle?

Finding the distance around a triangle entails determining its perimeter. The distance formula can be used to calculate the side lengths if you don't already know all of them. The simplest way to find a triangle's perimeter is to add up all of its sides' lengths.

The distance between two points (x1,y1) and (x2,y2) can be determined using the following formula: √(x₂-x₁)² + (y₂ - y₁)²

Let the given vertices are (-7, -2), (-2, -5) , and (2, 3).

Distance formula for two points is = √(x₂-x₁)² + (y₂ - y₁)²

Using the formula,

AB = √((-2)-(-7))² +((-5)-(-2))²

= √(-2+7)² + (-5+2)²

= √5² + (-3)²

= √25 + 9

= √31

Similarly, BC = √(2 - (-2))² + (3-(-5))²

= √(2+2)² + (3+5)²

= √4² + 8²

= √16+64

= √80

CA = √((-7)-2)² + (-2 + 3)²

= √(-9²) + 1

= √81+1

=√82

Perimeter of triangle = AB + BC + CA

= √31 +√81 +√82

= 5.5677 + 9 + 9.0553

= 23.623

Therefore, the perimeter of the triangle is 23.623 units.

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Answer:

length x width = area

14 x 11 = 154

154 / 22 = 7 fertilizer needed

Hope this helps

Step-by-step explanation:

Around 68.26% of GMAT scores fall within the range of 411 and 633.

To find the percentage of GMAT scores between 411 and 633, we can use the Z-score formula.

First, we calculate the Z-scores for both values:
Z1 = (411 - 522) / 111 = -1
Z2 = (633 - 522) / 111 = 1

Next, we use a Z-table or calculator to find the cumulative probability associated with each Z-score:
P(Z < -1) = 0.1587
P(Z < 1) = 0.8413

To find the percentage between the two scores, we subtract the lower cumulative probability from the higher cumulative probability:
P(-1 < Z < 1) = P(Z < 1) - P(Z < -1)
P(-1 < Z < 1) = 0.8413 - 0.1587 = 0.6826

Therefore, approximately 68.26% of GMAT scores are between 411 and 633.

In conclusion, around 68.26% of GMAT scores fall within the range of 411 and 633.

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As the number of degrees of freedom for a t-distribution increases, the difference between the t-distribution and the standard normal distribution (b) becomes smaller.

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution becomes smaller. This is because as the degrees of freedom increase, the t distribution approaches the normal distribution in shape and becomes more concentrated around the mean. Therefore, the t distribution becomes more similar to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. So, the correct answer is b. becomes smaller.

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The given expression rewritten in simplified exponential form is \(5x^{\frac{3}{2}}\)

From the question, we are to rewrite the given expression is simplified exponential form.

The given expression is

\(\sqrt{\sqrt{25^{2} x^{6} } }\)

First, we will evaluate the inner square root

\(\sqrt{25^{\frac{2}{2} } x^{\frac{6}{2} } }\)

\(\sqrt{25 x^{3 } }\)

Simplifying further

\(\sqrt{25 } \times \sqrt{x^{3}}\)

\(5\times x^{\frac{3}{2}}\)

= \(5x^{\frac{3}{2}}\)

Hence, the expression in simplified form is \(5 x^{\frac{3}{2}}\)

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we have that

y=2x+1

the y-intercept (value of y when the value of x is equal to zero) is 1

so

is between the line y=2x+3 and the line y=2x-2

the line y=-2x+1 is not parallel to the other lines, because the slope is different

using a graphing tool

see the attached figure

please wait a minute

Answer:

f(g(x))= log4(2(8x^6))

or log4(16x^6)

Step-by-step explanation:

Answer:

D 5

Step-by-step explanation:

Answer:

B. 1/2?

Step-by-step explanation:

Answer:

b = 10.06 in

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10.5)² = b² + (3)²

→ 110.25 = b² + 9

→ b² = 110.25 - 9

→ b = √101.25

→ [ b = 10.06 in ]

Hence, value of b is 10.06 in.

The biker traveled 10 miles in the fourth 10-minute interval.

To solve this problem, we need to find the average speed for each interval and then calculate the distance traveled in the fourth interval.

Let's denote the average speed in the first interval as v1 (30 miles per hour) and the increase in speed for each successive interval as Δv (10 miles per hour). The average speed for each interval can be represented as follows:

Interval 1: v1 = 30 mph

Interval 2: v2 = v1 + Δv

Interval 3: v3 = v2 + Δv

Interval 4: v4 = v3 + Δv

We know that each interval is 10 minutes long, so the time (t) for each interval is also constant:

t = 10 minutes = 10/60 hours = 1/6 hours

Now, to calculate the distance traveled in each interval, we can use the formula:

Distance = Speed × Time

For the fourth interval, the distance traveled (D4) can be calculated as:

D4 = v4 × t

First, let's find the values for v2, v3, and v4:

v2 = v1 + Δv = 30 + 10 = 40 mph

v3 = v2 + Δv = 40 + 10 = 50 mph

v4 = v3 + Δv = 50 + 10 = 60 mph

Now we can calculate the distance traveled in the fourth interval:

D4 = v4 × t = 60 mph × 1/6 hours

D4 = 10 miles

Therefore, the biker traveled 10 miles in the fourth 10-minute interval.

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The recommended daily amount of sodium is approximately 2300 mg.

The total recommended daily amount of sodium for an average adult is around 2300 milligrams (mg). This value may vary depending on individual factors such as age, sex, and overall health conditions. The bacon cheeseburger at the popular fast food restaurant contains 1564 mg of sodium, which is approximately 68% of the recommended daily amount.

To calculate the total recommended daily amount of sodium, you would divide the sodium content of the bacon cheeseburger (1564 mg) by the percentage (68%):

1564 mg / 0.68 = 2294 mg

Therefore, the total recommended daily amount of sodium is approximately 2300 mg. It's important to note that this is a general guideline, and individuals with specific dietary needs or medical conditions may require a different sodium intake recommendation. It's always advisable to consult with a healthcare professional for personalized dietary guidance.

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Answer:

9x^3/y^3

Step-by-step explanation:

Hope this helps!

I think the answer is 4, you can't be sure with two

Answer:

3 socks

Step-by-step explanation:

Let's look at what outcomes you can have when you take one sock at a time for the first three picks.

First pick:                      grey

You have:                    1 grey sock

Second pick:         grey or blue

You have:                     1 grey sock & 1 grey sock (a pair)

                                or 1 grey sock and 1 blue sock (no pair)

Third pick:                grey or blue

You have:                 2 grey + 1 grey (1 pair)

                                or 2 grey and 1 blue (1 pair)

                                or 1 grey sock, 1 blue sock, 1 grey (1 pair)

                                or 1 grey, 1 blue, 1 blue (1 pair)

Notice that obviously after the first pick, you cannot have a pair since you only took out one sock. After the second pick, you may or may not have a pair. After the third pick, you must have a pair.

Answer: 3 socks

Answer:

option 4

Step-by-step explanation:

it can't be greater or equal to so mark off the other ones and we also don't know how many games he played so put a variable beside that 2.5 hope this helps

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The slope intercept form is         y=3x+18

Answer:

y = - 3x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 , then

y = - 3x + c ← is the partial equation

to find c substitute (- 4, 6 ) into the partial equation

6 = 12 + c ⇒ c = 6 - 12 = - 6

y = - 3x - 6 ← equation of line in slope- intercept form

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:

Answer is C

Step-by-step explanation:

Because you divide each side by 2 because that is the scale factor

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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Answer:

120

Step-by-step explanation: