For a population with µ = 100 and σ = 20, what is the X value corresponding to z = -0.75?​
a. 85​ b. ​105 c. 95 d. ​115

9514 1404 393

Answer:

  C.  2x -15

Step-by-step explanation:

The respective numbers of naira are ...

  laraba: x

  kunie: x-15 . . . . . 15 less than laraba

Then the total is ...

  laraba + kunie = x +(x -15) = 2x -15 . . . . matches choice C

The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).

What is a differentiable function:

A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

The given properties for the differentiable function f are:

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

From (i) we can get \(f''(x)=2ax+b\)

By substituting (ii) in (i) we will get:

a+b=6 and 2a+b=18. By solving these two equations we will get the following:

a=12, b=-6.

We will integrate (i) on both sides, we will get:

\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.

In this equation, we will substitute a,b.

\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)

Now we will substitute (iv) in (iii), and we will get:

\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)

Therefore \(f(x)=4x^3-3x^2+10\).

Complete question:

Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

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A true statement based on the given information is that ΔCAT and ΔDOG are similar triangles, meaning their corresponding angles are congruent and their corresponding sides are in proportion.

If all pairs of corresponding angles and sides in triangles ΔCAT and ΔDOG are congruent, it implies that the two triangles are similar. In similar triangles, the corresponding angles are congruent, and the corresponding sides are in proportion.

Based on this information, the following true statement can be made:

The ratio of the lengths of the corresponding sides in ΔCAT and ΔDOG is equal.

For example, if the corresponding sides are CA and DO, the ratio CA/DO will be equal to the ratio of the lengths of the other corresponding sides.

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Answer:

Step-by-step explanation:

Now, in order for it to be a proportion, both the number and the denominator must turn to the other number by the same method. I'll clarify when we do the steps.

So, the first one is 4/10 and 10/25

The first thing that you would do is divide 10 by 4, and then 25/10

When you do that, it turns out that they both equal 2.5. This means that both the number and denominator go to the new number with the same method, multiplying by 2.5

So, the answer would be A

Answer:

Step-by-step explanation:

The general form of a quadratic function is given by:f(x) = ax^2 + bx + cwhere a, b, and c are constants.To find the specific equation of a quadratic function with a given vertex and a point on the graph, we can use the vertex form of the quadratic function:f(x) = a(x - h)^2 + kwhere (h, k) is the vertex.Using the given vertex (0, 3), we have:f(x) = a(x - 0)^2 + 3Simplifying, we get:f(x) = ax^2 + 3Now we can use the given point (2, 7) to find the value of a.Substituting x = 2 and y = 7 into the equation above, we get:7 = a(2)^2 + 3Simplifying, we get:7 = 4a + 34a = 4a = 1Therefore, the general form of the quadratic function is:f(x) = x^2 + 3

Answer:

correct answer is explained in the picture attached.

Answer:

250 and 250.1

Answer:

250.1

Step-by-step explanation:

5002 divided by 20 equals 250.1

The associations that best describe the scatter plot is Option A and C

Positive association

Linear association

We have,

When below-average values also tend to occur together and above-average values of one variable tend to be accompanied by below-average values of the other, there is a positive association between the two variables. When the average values of two variables tend to be below average, two variables have a negative connection.

Note that a statistical term used to describe a straight-line relationship between two variables is a linear relationship (or linear association).

Additionally, a straight line connecting the spots indicates a linear association. As a result, the scatter plot indicates that as practice time increases,  giving off also rise.

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complete question:

Which associations best describe the scatter plot?

Select each correct answer.

Select 2 correct answer(s)

Question 5 options:

Positive association

Nonlinear association

Linear association

Negative association

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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When we say "solve for the variable", we mean to solve the equation because the solution of the equation is finding the unknown variable.

So, the similarity between "solving for a "variable" to "solving an equation" is that both actions imply looking at the value of that variable.

On the other hand, a slight difference would be in the case of having several variables in the equation. In this case, both actions could represent slight differences, because if we have three different variables and we say "solve for y", that means we must isolate that variable, and the result is just an expression. But, if we say "solve the equation"

Answer:

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Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

Answer:

144 servings

Step-by-step explanation:

Step 1

We convert 3 gallons to cups

1 gallon = 16 cups

3 gallons = x cups

x = 3 × 16 cups

x = 48 cups

Step 2

If

4 cups of milk = 12 servings.

48 cups of milk = x servings

Cross Multiply

4 × x = 48 × 12

x = 48 × 12/4

x = 144 servings

Therefore, 3 gallons of milk(48 cups) = 144 servings

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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The area of the face of a nickel 353.14 \(mm^{2}\) (nearest hundredth)

The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.

As the surface of nickel is in shape of 2-D circle.

radius of circle = \(\frac{21.21}{2}\) = 10.605 mm

Area of circle= \(\pi r^{2}\)

                      = 3.14* 21.21*21.21

                      = 353.143 \(mm^{2}\)

                      = 353.14 \(mm^{2}\) (nearest hundredth)

Thus, the area of the face of a nickel 353.14 \(mm^{2}\) (nearest hundredth)

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Answer:

variables

Step-by-step explanation:

Answer:

x=65, y=60

Step-by-step explanation:

x=65--->corrosponding angles with the triangle

x+y+55=180--->linear pair

(65)+y+55=180

y=60

Answer:

x=65 y=60

Step-by-step explanation:

Well, divide the hypotenuse between two triangles added onto the square root of the divisions between Mars and Pluto and we can derive the positive neutrons of the seventeenth quadratic of the Einstein constant equation.

or, know that x=65 due to it being on a parallel line to it, then due to their being 360 degrees around a point, 65+65+55+55=240, 360-240=120, then divide that by two to get it at y.

Rewrite the limit as

\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5\)

Then using the known limit,

\(\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1\)

it follows that

\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}\)

As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t

As per the question given,

To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).

The gradient of T(x,y) is given by:

∇T(x,y) = (-2x, -4y)

The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).

To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.

So the path of the heat-seeking particle is given by the following parametric equations:

x = a - 2t

y = b - 4t

where t is the parameter that represents time.

These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.

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Part 1: The first five terms of the sequence are -1, 16, 69, 266, 1039

Part 2: The first five terms of the sequence are 12, 12, 130/9, 69/4, 126

Part 1:

For finding the first five terms we will substitute values in n from 1,2,3,4 and 5

an = 2n^2 + 5n-10

a1 = 2(1)^2 + 5(1)-10

=4+5-10 = -1

So, the first term is -1

a2 = 2(2)^2+5(2)-10

= 16+10-10 =16

The second term is 16

a3 = 2(3)^2+5(3)-10

=64+15-10

=69

The third term is 69

a4 = 2(4)^2+5(4)-10

=256+20-10

=266

The fourth term is 266

a5 = 2(5)^2+5(5)-10

= 1024+25-10

= 1039

The fifth term is 1039

Part 2:

an = 3n+4/n^2+5

a1 = 3(1)+4/1^2+5

= 3+4+5

= 12

The first term is 12

a2 = 3(2)+4/2^2+5

= 6+1+5

= 12

The second term is 12

a3 = 3(3)+4/3^2+5

= 9+4/9+5

= 81+4+45/9

=130/9

The third term is 130/9

a4 = 3(4)+4/4^2+5

= 12+4/16+5

=17+1/4

=69/4

The fourth term is 69/4

a5 = 3(5)+4/5^2+5

= 15+4/25+5

=20+4/25

=504/4

= 126

The fifth term is 126

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Answer:

6 cm = 2.36 in (rounded to the nearest hundred)

Step-by-step explanation:

hope this helps :)

Answer:

2.36 inches

Step-by-step explanation:

1. Convert the measurement to inches.

Divide by 2.54

2. 6/2.54= 2.362

3. Look at the number in the thousandths place. If it is larger than 4, round the hundredths up. If it is 4 or smaller, it stays the same.

The number in the thousandths place is a 2, so it stays the same. 2.36

4. 2.36 inches is your answer

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

the charge for opening up the account was $155.

Step-by-step explanation:

To find the charge for opening up the account, we need to subtract the interest from the total amount borrowed.

The total amount repaid at the end of the loan period is the sum of the amount borrowed and the interest charged. In this case, the total amount repaid is:

$2,500 + $155 = $2,655

The interest charged on the loan is the difference between the total amount repaid and the amount borrowed. Therefore, the amount charged for opening up the account is:

$2,655 - $2,500 = $155

So the charge for opening up the account was $155.

Answer:

Unreduced: (4) + (5 • x) + (-9) + (4 • x)

Reduced: 9x – 5

For this problem use the formula for the volume of an oblique cone which is the same for the usual cone:

Answer:40%

Step-by-step explanation:

50/10=5

5=10%

5*4=20

20=40%

Answer:

The answer is 40

Step-by-step explanation:

Lemme know if I'm wrong