Find the mean of the integers.. 5,-7,12,-10,15

Answer:

x + x-1 + x-2 + x-3 =54.

x-1

Answer:

15

Step-by-step explanation:

Let the consecutive numbers be x, x + 1, x + 2, x + 3

==========

Greatest of the 4 integers:

Answer:interquartile range IQR

Step-by-step explanation:ApE x

Answer:

ANSWER IS IQR

Step-by-step explanation:

DID THE TEST

Answer:

What can I use to draw it?

Step-by-step explanation:

Step-by-step explanation:

y = x^2 + 2x - 15

To find the x-intercepts, factor out the right side:

y = x^2 + 2x - 15

= (x + 5)(x - 3)

This means that the x-intercepts are at (-5, 0) and (3, 0).

Method 1:

The x-coordinate of the vertex of a parabola is given by the following:

x = -b/2a, where a = 1 and b = 2

= -(2/(2×1))

= -1

Using this value of x gives y = -16

Therefore, the coordinates of the vertex is (-1, -16).

Method 2:

We can find the x-coordinate of the vertex by taking the derivative of y and equating it to zero:

y' = 2x + 2 = 0 ---> x = -1

Using this value of x into our equation, we get y = -16.

Therefore,

vertex: (-1, -16)

The standard form of the ellipse would be \(\frac{x^2}{144}+\frac{y^2}{36}=1\\\).

What is an ellipse?

An ellipse is a plane curve surrounded by two focal points, such that the sum of the two distances to the focal points is a constant for all points on the curve. It generalizes a circle, which is a special type of ellipse with the same two focal points.

The length of the major axis (a) = 12 and the length of the minor axis = 6 and the center is at (0, 0).

(h, k) =(0, 0).

then the standard form of the ellipse is

                  \(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\\\\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{6^2}=1\\\\\frac{x^2}{144}+\frac{y^2}{36}=1\\\)

Hence, the standard form of the ellipse would be \(\frac{x^2}{144}+\frac{y^2}{36}=1\\\).

To learn more about the equation of the ellipse, visit:

https://brainly.com/question/1592588

#SPJ1

The minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126).

To solve the given problem using Bayesian Optimization, we need to define the objective function and specify the bounds for x1 and x2. The objective function is:

f(x1, x2) = (4 - 2.1x1^2 + (x1^4)/3)x1^2 + x1*x2 + (-4 + 4x2^2)x2^2

The bounds for x1 and x2 are x1 ∈ [-3, 3] and x2 ∈ [-2, 2].

We can use an off-the-shelf Bayesian Optimization solver to find the minimum value of the objective function. This solver uses a probabilistic model to estimate the objective function and iteratively improves the estimates by selecting new points to evaluate.

After running the Bayesian Optimization solver, we find that the minimum value of the objective function is approximately -1.0316. This minimum value occurs at (x1, x2) = (0.0898, -0.7126).

Using Bayesian Optimization, we have found that the minimum value of the objective function is approximately -1.0316, which occurs at (x1, x2) = (0.0898, -0.7126). Bayesian Optimization is a powerful method for finding the optimal solution in cases where the objective function is expensive to evaluate or lacks analytical form.

To know more about value , visit;

https://brainly.com/question/14316282

#SPJ11

The properties of a vector space are satisfied Properties 1,2, 5(a) and 5(c) are satisfied, the relaxation of the homes aren't legitimate are if\(v = x ^ 2 1× v=1^ ×x ^ 2 = 1 #V\)

Property three does now no longer follow: Suppose that Property three is legitimate, shall we name\(v = a * x ^ 2 +bx +c\)the neuter of V. Since v is the neuter, then O have to be constant with the aid of using the neuted, consequently \(0 = O + v = (O x ^ 2 + Ox + O) + (a × x ^ 2 + bx + c) = c × x ^ 2 + b ^ 2 + a\)

= 0 If O is the neuter, then it ought to restore x², but \(0+ x² = (0x²+0x+zero) + (x²+0x+zero) = 1.\)This is a contradiction due to the fact x² isn't 1. We finish that V doesnt have a neuter vector. This additionally method that belongings four would not observe either. A set with out 0 cant

have additive inverse

\(Let r= v ×2x ^ 2 + v × 1x +v0 , w= w ×2x ^ 2 + w × 1x +w0 . We have that\\v+w= (vO + wO) ^ x^ 2 +(vl^ × wl)^ x+ ( v 2^ × w2)• w+v= (wO + vO) ^x^ 2 +(wl^ × vl)x+ ( w 2^ ×v2)\)

Since the sum of actual numbers is commutative, we finish that v + w = w + v Therefore, belongings 5(a) is valid.

Property 5(b) isn't valid: we are able to introduce

a counter example. we could use z = 1 then\(v = x ^ 2 w = x ^ 2 + 1\\(v + w) + z = (x ^ 2 + 2) + 1 = 3x ^ 2 + 1\)

v + (w + z) = x ^ 2 + (2x ^ 2 + 1) = x ^ 2 + 3

Since 3x ^ 2 +1 ne x^ 2 +3. then the associativity rule doesnt hold.

\((1+2)^ * (x^ 2 +x)=3^ * (x ^ 2 + x) = 3x + 3\\1^ × (x^ 2 +x)+2^ × (x ^ 2 + x) = (x + 1) + (2x + 2) = 3x ^ 2 + x ( ne 3x + 3 )\\(1^ ×2)^ ×(x^ 2 +x)=2^ × (x ^ 2 + x) = 2x + 2\\1^ × (2^ × (x ^ 2 + x) )=1^ × (2x+2)=2x^ 2 +2x( ne2x+2)\)

Property f doesnt observe because of the switch of variables. for instance, if v = x ^ 2 1 × v=1^ × x ^ 2 = 1 #V

Properties 1,2, 5(a) and 5(c) are satisfied, the relaxation of the homes arent legitimate.

Step-with the aid of using-step explanation:

Note that each sum and scalar multiplication entails in replacing the order from that most important coefficient with the impartial time period earlier than doing the same old sum/scalar multiplication.

Property three does now no longer follow: Suppose that Property three is legitimate, shall we name v = a × x ^ 2 +bx +c the neuter of V. Since v is the neuter, then O have to be constant with the aid of using the neuted, consequently\(0 = O + v = (O × x ^ 2 + Ox + O) + (a × x ^ 2 + bx + c) = c × x ^ 2 + b ^ 2 + a\)

= zero If O is the neuter, then it ought to restore x², but zero \(+ x² = (0x²+0x+zero) + (x²+0x+zero) = 1.\)This is a contradiction due to the fact x² isn't 1. We finish that V doesnt have a neuter vector. This additionally method that belongings four would not observe either. A set with out 0 cant have additive inverse

Let \(r= v × 2x ^ 2 + v × 1x +v0 , w= w2x ^ 2 + w × 1x +w0 . \\We have thatv+w= (vO + wO) ^ x^ 2 +(vl^ wl)^x+ ( v 2^ w2)w+v= (wO + vO) ^ x^ 2 +(wl^ vl)x+ ( w 2^v2)\)

Since the sum of actual numbers is commutative, we finish that v + w = w + v Therefore, belongings 5(a) is valid.

Property 5(b) isn't valid: we are able to introduce

a counter example. we could use\(z = 1 then v = x ^ 2 w = x ^ 2 + 1(v + w) + z = (x ^ 2 + 2) + 1 = 3x ^ 2 + 1v + (w + z) = x ^ 2 + (2x ^ 2 + 1) = x ^ 2 + 3\\Since 3x ^ 2 +1 ne x^ 2 +3.\)then the associativity rule doesnt hold.

Note that each expressions are same because of the distributive rule of actual numbers. Also, you could be aware that his assets holds due to the fact in each instances we 'switch variables twice.

\(· (1+2)^ * (x^ 2 +x)=3^ * (x ^ 2 + x) = 3x + 31^ * (x^ 2 +x)+2^ * (x ^ 2 + x) = (x + 1) + (2x + 2) = 3x ^ 2 + x ( ne 3x + 3 )(1^ * 2)^ * (x^ 2 +x)=2^ * (x ^ 2 + x) = 2x + 21^ * (2^ * (x ^ 2 + x) )=1^ ×* (2x+2)=2x^ 2 +2x( ne2x+2)\)

Read more about polynomials :

https://brainly.com/question/2833285

#SPJ4

Answer:

No

Step-by-step explanation:

1. (270 * 3) + (650 * 1)

2. 810 + 650

3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.

4. 1500 > 1460, so Mark would not meet his goal by doing this.

Answer:

x=11 im not sure but i think

The sequence of transformations that maps the congruent figures are

Rotation, Reflection and Translation.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The types of transformations that preserve congruency includes: Rotation Turns a figure around a fixed point.

Since Reflection Flip of figure over a line where a mirror image is created.

And Translation Sliding a shape to a new place without changing the figure.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ2

If a caterer needs 21 pounds of pasta and a local store sells 8 pounds of pasta for $12, then the caterer has to pay a total amount of $31.5 at the store for their 21 pounds of pasta, calculated using the unitary method.

As per the question statement, a caterer needs 21 pounds of pasta to cater a wedding, while a local store sells 8 pounds of pasta for $12.

We are required to calculate the total amount which the caterer will have to pay at the store for their 21 pounds of pasta.

To solve this question, first we will need to calculate the price of 1 pound of pasta at the local store, from their rate provided in the question statement, and then multiply the cost of unit pound of pasta with the number of pounds the caterer needs, to obtain our desired answer, that is,

Using the unitary method, we get,

The local store sells 8 pounds of pasta for $12,

Or, it then sells 1 pound of pasta for $(12/8)

Or, the cost of 21 pounds of pasta at this store will $[(12/8) * 21] = $31.5

Hence,  the caterer has to pay a total amount of $31.5 at the store for their 21 pounds of pasta.

To learn more about Unitary Method and total amounts, click on the link below.

https://brainly.com/question/13542805

#SPJ9

Answer:

5,9

Step-by-step explanation:

The typical concentration of hydrogen ions in human saliva is of H* = 10^(-7), using the logarithmic equation.

The logarithmic equation in the context of this problem is presented as follows:

pH = -log(H*).

In which the parameter H* is the concentration of hydrogen ions of the substance.

For the human saliva, the pH has a numeric value as presented as follows:

pH = 7.

Hence the concentration is calculated as follows:

7 = -log(H*).

log(H*) = -7.

The power of 10 and the logarithm are inverse functions, hence the power of 10 can be inserted into both sides of the equality to isolate the concentration variable H*.

10^(log(H*)) = 10^(-7)

H* = 10^(-7).

More can be learned about logarithmic equations at https://brainly.com/question/237323

#SPJ1

Answer:

Step-by-step explanation:

None

They are both imaginary or complex. You can check that out by calculating the discriminate. If you get a minus answer, then there are no real roots. Let's try it.

a = - 2

b = - 4

c = - 6

D = sqrt(b^2 - 4*a * c)

D = sqrt( (-4)^2 - 4*(-2)(-6)  )

D = sqrt( 16 - 48)

D = sqrt(-32) which is negative and there are no real roots.

Answer:

for what I think Es Irracional

Answer:

sqrt(10) *x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + (3x)^2 = hypotenuse ^2

x^2 + 9x^2 = hypotenuse ^2

10x^2 = hypotenuse  ^2

Take the square root of each side

sqrt( 10x^2) =  sqrt(hypotenuse  ^2)

sqrt(10) * x = hypotenuse

Answer:

sqrt(10)x so ten is your answer

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation: watch the video

the answer is 1 on plato

hope this helps

The critical value that is used to construct a confidence interval for a proportion depends upon C. the confidence level and the sample size.

The critical value used to construct the confidence interval for proportion depends on:

1) The sample size:

The probability changes as the sample size changes as the distribution of the test statistics is dependent on sample size, thus the critical value will depend on sample size.

2) The confidence level:

The critical value is always calculated by using the confidence level, so it is dependent on it.

The sample proportion is the observed value which is used to perform the test, but not to construct the critical value.

Thus the correct option is:

Option C: The confidence level and sample size.

To learn more about probability check the link below:

https://brainly.com/question/13604758

#SPJ4

To find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k, we can use the formula for the equation of a plane which is Ax + By + Cz = D.

The equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77

This is further explained as follows:

The equation of a plane is given by:
Ax + By + Cz = D
where A, B, and C are the components of the normal vector, and D is a constant. To find A, B, and C, we can use the components of the given normal vector n=6i+2j+7k.

Therefore we have:
A = 6, B = 2, C = 7
Now, substitute the values of A, B, and C into the equation:
6x + 2y + 7z = D

To find the value of D, we can substitute the coordinates of the given point p0=(7,7,3) into the equation and solve for D. So, we have:
6(7) + 2(7) + 7(3) = D
42 + 14 + 21 = D
D = 77

Therefore, the equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:

6x + 2y + 7z = 77

Learn more about planes here:

https://brainly.com/question/28247880

#SPJ11

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

In the first sequence,

let's take ratio of the next term with its preceding term, so we will get the common ratio ~

\(\qquad \sf  \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)

So, we can imply that The next term of the sequence is 1/4 times the previous term.

hence, the unknown term will be 1/4 times of previous term.

Therefore, the next term here is 1

In the second sequence,

Do the same procedure as above, we will get common ratio as :

\(\qquad \sf  \dashrightarrow \: \cfrac{18}{6} = 3\)

So, the next term is 3 times the preceding term, that is :

Therefore, the next term is 162

Answer:

Levon attempted

96 throws in 12

minutes.

Step-by-step explanation:

1 min= 8 throws

8x12=96 or

10 min= 80 throws  2 min=16 throws

80+16=96

Answer:

no idea

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

add them all up then divide by 5

Answer:  Square root -67

step explanation:

The function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

The function that models this situation can be written as:

f(x) = 0.45x + 12.50

In this function, "x" represents the number of checks written during the month. The term "0.45x" represents the monthly charge for maintaining the account based on the number of checks written (0.45 for each check). The term "12.50" represents the service charge.

To calculate the total monthly charge, you would substitute the value of "x" into the function. For example, if you wrote 10 checks during the month, the total monthly charge would be:

f(10) = 0.45(10) + 12.50
      = 4.50 + 12.50
      = $17.00

In conclusion, the function f(x) = 0.45x + 12.50 models the situation where a bank charges $.45 for each check written plus a service charge of $12.50. The "x" represents the number of checks written during the month.

To know more about function visit:

brainly.com/question/31062578

#SPJ11

Answer:

60;40

Step-by-step explanation: 50* 2 = 100

so multiply every thing else by it to  

in simplest form tho itd be 3;2

The probability that more than one-third of the students in this sample wear contacts is roughly 0.234, according to the Normal model.

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

Hence, The probability that more than one-third of the students in this sample wear contacts is roughly 0.234, according to the Normal model.

learn more about probability click here:

brainly.com/question/13604758

#SPJ1

Answer:

16

Step-by-step explanation:

Step 1:

x ÷ 4 + 2 = 6  Equation

Step 2:

x ÷ 4 = 4   Subtract 2 on both sides

Answer:

x = 16   Mutliply 4 on both sides

Hope This Helps :)

Answer:

\(\frac{x}{4}+2 = 6\\\)

x+2 = 6*4  (you take the denominator 4 to the other side, which causes it to multiply)

x+2 = 24

x = 24-2 (taking positive 2 to the other side changes its sign to negative)

x = 22