Half of a number, n, is at least 14. Enter in the inequality that represents the statement in the first response box.​

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

To learn more about ratio visit: https://brainly.com/question/13419413

#SPJ4

you first check if it hyperbola,linear , exponential,parabola

The mean of ^p can be calculated using the formula: ^p = x/n, where x is the number of minority applicants in the sample and n is the sample size. Since we do not know the sample size, we cannot calculate the exact value of ^p.

However, we can assume that the sample size is large enough for the Central Limit Theorem to apply, which means that the mean of ^p is equal to the proportion of minority applicants in the population, which is 0.1 (10%).

The standard deviation of ^p can be calculated using the formula: σ(^p) = sqrt((p(1-p))/n), where p is the proportion of minority applicants in the population and n is the sample size. Substituting p = 0.1 and using the information that the bank filled 9% of open positions with minority candidates, we can estimate the sample size as

\(n = 0.09/0.1 = 0.9. Therefore, σ(^p) = sqrt((0.1*0.9)/0.9) = sqrt(0.1) = 0.316.\)

To compute an approximation for p(^p < or is equal to 0.09), we need to standardize the variable ^p using the formula:

\(z = (^p - p)/σ(^p).\)

Substituting the values of ^p, p, and σ(^p), we get: z = (0.09 - 0.1)/0.316 = -0.316.

The probability of ^p being less than or equal to 0.09 can be found by looking up the area under the standard normal distribution curve to the left of z = -0.316. Using a standard normal table or a calculator, we find that this probability is approximately 0.376.

Therefore, there is a 37.6% chance that the sample will have fewer minority applicants than were hired by the bank.

Learn more about sample here:

https://brainly.com/question/14937422

#SPJ11

To determine which sets of ingredients are in a proportional relationship with the given recipe, we need to compare the ratios of the ingredients to the given ratio of 12 parts oil, 3 parts vinegar, and 2 parts honey.

For example, if we take the first set of ingredients: 16 parts oil, 4 parts vinegar, and 2 parts honey, we can calculate the ratios:

Oil: 16 parts / 4 = 4 parts

Vinegar: 4 parts / 4 = 1 part

Honey: 2 parts / 4 = 0.5 parts

Comparing these ratios to the original recipe, we can see that they are proportional, as each ratio is a multiple of the original ratio:

Oil: 4 / 12 = 1/3

Vinegar: 1 / 3 = 1/3

Honey: 0.5 / 2 = 1/4

Therefore, the first set of ingredients is in a proportional relationship with the recipe. We can apply the same process to the other sets of ingredients to see if they are proportional as well.

We can find the orthogonal vector when we use the dot product.

Then, the result must be equal to zero.

The vector u is given by coordinates <-7,-4>

Then, we need to find a vector in which their dor product will be equal to zero:

<-7,-4>*<1/7,-1/4> =-7*1/7 +(-4)*-1/4 = -1+1 =0

Therefore, the orthogonal vector is <1/7,-1/4>

The correct answer is option B

Answer:

Step-by-step explanation:

1.c

2.c

3.a

4.d

5.d

6.c

7. they are equal

8 A.a

8 B.d

9 A. c

9 B. b

10 A.c

10 B. b

11.b

12.d

13.b

14.b

15. a

16.d

17.c

18. 26.56 degrees

Answer:

A

Step-by-step explanation:

The zeros are the roots or x-intercepts

They are located at coordinate points (0, 0) and (6, 0)

This means the answer is A

Hope it makes sense!

Answer:

A. x = 0 and x = 6

Step-by-step explanation:

So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.

So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).

The x-values of these are 0 and 6, respectively.

Answer: \((\frac{3}{2}x^{2}+1) (\frac{x^{2} }{2}+1) + x(x+1)(x-1)\)

okay, so I have attached the solution, I tried my best to solve it and here's the answer I'm getting, hope that helps...

A)the density of |x| is f(|x|) = 1/(1-0) = 1. B) the density of p|x| is f(p|x|) = 1/(p-0) = 1/p. C) the density of -ln|x| is f(-ln|x|) = 1/(∞-0) = 0. D) the density of sin(x) is f(sin(x)) = 1/(sin(1)-(-sin(1))).

(a) To find the density of |x|, we need to consider the range of values that |x| can take. Since x is uniformly distributed on the interval (-1, 1), the absolute value of x can take values between 0 and 1. The density function of |x| is given by f(|x|) = 1/(b-a), where a and b are the lower and upper bounds of the interval. In this case, a = 0 and b = 1. Therefore, the density of |x| is f(|x|) = 1/(1-0) = 1.

(b) To find the density of p|x|, we need to consider the range of values that p|x| can take. Since x is uniformly distributed on the interval (-1, 1), p|x| can take values between 0 and p. The density function of p|x| is given by f(p|x|) = 1/(b-a), where a and b are the lower and upper bounds of the interval. In this case, a = 0 and b = p. Therefore, the density of p|x| is f(p|x|) = 1/(p-0) = 1/p.

(c) To find the density of -ln|x|, we need to consider the range of values that -ln|x| can take. Since x is uniformly distributed on the interval (-1, 1), -ln|x| can take values between 0 and ∞. The density function of -ln|x| is given by f(-ln|x|) = 1/(b-a), where a and b are the lower and upper bounds of the interval. In this case, a  = 0 and b = ∞. Therefore, the density of -ln|x| is f(-ln|x|) = 1/(∞-0) = 0.

(d) To find the density of sin(x), we need to consider the range of values that sin(x) can take. Since x is uniformly distributed on the interval (-1, 1), sin(x) can take values between -sin(1) and sin(1). The density function of sin(x) is given by f(sin(x)) = 1/(b-a), where a and b are the lower and upper bounds of the interval. In this case, a = -sin(1) and b = sin(1). Therefore, the density of sin(x) is f(sin(x)) = 1/(sin(1)-(-sin(1))).

Know more about upper bounds here,

https://brainly.com/question/33419683

#SPJ11

Answer:

13 + x ≤ 22

x ≤ 9

Step-by-step explanation:

Total players = 22

Players available = 13

Players remaining = x

The inequality can be written as:

Players available + Players remaining ≤ Total players

13 + x ≤ 22

x ≤ 22 - 13

x ≤ 9

Width be x and length be 2x+5

Now

Length=2(13)+5=26+5=31

The minimum number of people over age 32 they must include in their sample or sample size is equals to the 486.

In this question, we will use the margin of error of the 98% confidence interval for the population mean to determine the minimum sample size. We have to provide following informations for consumption of milk per week among people over age 32.

Mean = 3.1 liters

Confidence interval = 98%

Maximum/Margin of error = 0.1 liters

Standard deviations = 0.9 liters

level of significance, α = 1 - 0.98 = 0.02

or α/2 = 0.01

We have to determine the sample size for people over age 32 they must include in their sample. The margin of error is calculated by multiplying a key factor (for a certain level of confidence) by the population standard deviation. The result is then divided by the square root of the number of observations in the sample. Mathematically, \( ME =Z_{\frac{\alpha}{2}}\sqrt{ \frac{ σ}{n} }\)

Using the Z-distribution table, value of z for 98% of confidence interval is 2.326. Substituting the known values in above formula, 0.1 = 2.326 √0.9/n

=> √0.9/n = 0.1/2.33 = 0.043

=> 0.9/n = (0.043)² = 0.001849

=> n = 0.9/0.00185

=> n = 486.4865 ~ 486

Hence, required sample size is 486.

For more information about sample size, visit :

https://brainly.com/question/30528695

#SPJ4

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

Learn more about derivative

brainly.com/question/29144258

#SPJ11

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

Answer:

(49p2–490p) ÷(p–10)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

To complete the square, the leading x^2 coefficient needs to be = 1 , so factor out a 3 to get

y = 3 ( x^2 + 5/3x )   +3                (I assumed it was a + sign between the terms)

 Then take 1/2 of the 5/3   ( 5/6 )  , square it  (25/36) , add it to the parentheses.... then subtract the amount you added (3 * 25/36) by doing this.....  to have this :

y = 3 ( x^2 + 5/3 x + 25/36)  -   3 * 25/36   +3      then simplify to

y = 3 ( x + 5/6)^2  + 11/12               Done.

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

Step-by-step explanation:

The equation of parabola is f ( x ) = -2 ( x + 5 )² - 3 and the vertex of the parabola is ( -5 , -3 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -2x² - 20x - 53   be equation (1)

On simplifying the equation , we get

A = -2x² - 20x - 50 - 3

Taking the common factor in the equation , we get

A = -2 ( x² + 10x + 25 ) - 3

On factorizing the equation , we get

A = -2 ( x + 5 )² - 3

So , the the equation of parabola is of the form y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Therefore , the vertex of the parabola is ( -5 , -3 )

Hence , the equation of parabola is A = -2 ( x + 5 )² - 3

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

Solution

Given that the Perimeter is: 340 yards. Lenght is 91 yards

Since P = 2(L + W)

where L is the Length

W is the width

=> 340 = 2(91 + W)

=> 340 = 182 + 2W

=> 158 = 2W

Dividing both sides by 2

=> W = 79

Hence, the width is 79 yards

Answer: it would be 79yards

Step-by-step explanation: 91•2=182

340-182=158

158/2=79yards

1) In this question, we need to remember that in any boxplot the line in the middle of the box indicates the median.

Based on that, we can tell the Median is 140

2) In the Interquartile Range, we need to find the range between the lower quartile and the upper one, based on that boxplot. We can tell the IQR is:

Note that the boundaries of the box show us the lower and the upper quartile:

The volume of the simplex is 1^n. So , the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

In nn dimensions, the simplex is a geometric shape formed by connecting the origin and the standard basis vectors.

The volume of this simplex can be determined by finding the determinant of the matrix formed by these basis vectors. Since the standard basis vectors are orthogonal, the determinant of this matrix will be equal to the product of their magnitudes.

In nn dimensions, each standard basis vector has a magnitude of 1. Therefore, the volume of the simplex is 1^n.

To simplify, any number raised to the power of 1 is equal to the number itself.

So, the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

Learn more about geometric shape here:

https://brainly.com/question/31707452

#SPJ11

Answer:

d is the answer

Step-by-step explanation:

ILJ and JKI

Thus,  78% of the people surveyed,  shopped at a local grocery store.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Grocery Options:

                                Store           Online          Total

Women                     32                 9                  41

Men                           28                8                   36

Total                          60               17                  77

Total people = 77

Total people who shop at a local grocery store = 60

Thus,

Percentage = 60/77 *100  = 77.92% = 78%

Thus,  78% of the people surveyed,  shopped at a local grocery store.

Know more bout the  percent

https://brainly.com/question/1053881

#SPJ1

Answer:

16

Step-by-step explanation:

70-54=16

Answer: you gave away 16 stickers

Step-by-step explanation: if you have 70 and you give one to each student, to find the amount you lost you would do 70-54 because that’s how many u have left and it leaves u with 16

(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

To know more on sample space

https://brainly.com/question/30206035

#SPJ4

a.  GCD(b, a) = GCD(a, r) using the Euclidean algorithm, where b = aq + r and 0 ≤ r ≤ a.

b. GCD(426, 246) = 6.

To prove the given statement, we will use the Euclidean algorithm. The Euclidean algorithm states that the greatest common divisor (GCD) of two integers remains the same when we divide the larger number by the smaller number and take the remainder.

Let's assume a and b are integers such that 1 ≤ a ≤ b. We can express b in terms of a as b = aq + r, where q is the quotient and r is the remainder when b is divided by a.

Now, let's consider the GCD(b, a). By the Euclidean algorithm, GCD(b, a) = GCD(a, r), where r is the remainder when b is divided by a.

To prove this, we can consider any common divisor of b and a. Since b = aq + r, any divisor of b must also divide aq + r. Similarly, any divisor of a must divide b.

Now, let's consider the GCD(a, r). Since any common divisor of b and a must also divide a and r, GCD(b, a) must be a divisor of GCD(a, r). Similarly, any common divisor of a and r must divide b and a, so GCD(a, r) must be a divisor of GCD(b, a).

Hence, we have proved that GCD(b, a) = GCD(a, r) using the Euclidean algorithm, where b = aq + r and 0 ≤ r ≤ a.

b. Since the remainder is 0, the algorithm stops, and the last non-zero remainder obtained is 6. GCD(426, 246) = 6.

To find the greatest common divisor (GCD) of 426 and 246, we can use the Euclidean algorithm.

Step 1: Divide 426 by 246 to find the remainder.

426 ÷ 246 = 1 remainder 180

Step 2: Divide 246 by 180 to find the remainder.

246 ÷ 180 = 1 remainder 66

Step 3: Divide 180 by 66 to find the remainder.

180 ÷ 66 = 2 remainder 48

Step 4: Divide 66 by 48 to find the remainder.

66 ÷ 48 = 1 remainder 18

Step 5: Divide 48 by 18 to find the remainder.

48 ÷ 18 = 2 remainder 12

Step 6: Divide 18 by 12 to find the remainder.

18 ÷ 12 = 1 remainder 6

Step 7: Divide 12 by 6 to find the remainder.

12 ÷ 6 = 2 remainder 0

Since the remainder is 0, the algorithm stops, and the last non-zero remainder obtained is 6.

Therefore, the GCD(426, 246) = 6.

Using the Euclidean algorithm, we calculated that the GCD of 426 and 246 is 6. The Euclidean algorithm repeatedly divides the larger number by the smaller number until the remainder becomes zero, and the last non-zero remainder is the GCD.

To know more about Euclidean algorithm, visit;
https://brainly.com/question/13425333
#SPJ11