The lengths of nails produced in a factory are normally distributed with a mean of 6.02 6.02 centimeters and a standard deviation of 0.05 0.05 centimeters. Find the two lengths that separate the top 9% 9% and the bottom 9% 9% . These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.

Answer:

-4

Step-by-step explanation:

We are given the following expression which we are to solve:

[tex] ( - 4 ) 5 - ( - 6 ) ( - 4 ) + 4 0 [/tex]

Since this expression includes brackets as well has plus and minus signs, so we will follow the standard order of operations to solve this expression.

Solving the brackets first to get:

[tex] ( - 2 0 ) - ( 2 4 ) + 4 0 [/tex]

Now adding all the terms up to get:

-4

Answer:

hope it help!

Step-by-step explanation:

have a nice day

Graph with its function by translating the graph of y= √x is marked below.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Given,

y = √x

However, y= √x only displays the positive y values on a graph since you can never square a negative integer because no two identical numbers multiplied together are negative, among other reasons.

Making a function is standard. Since a function may only have one value for each input, we define x as the positive real integer such that (√x)2=x for every positive real √x.

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Answer:1

Step-by-step explanation:

4% x 20 patients= 1 patient

On average, for every 25 patients calling in claiming to have the flu, we expect 1 patient to actually have the flu, based on a 4% chance of a patient truly having the flu.

The question is asking us to calculate the expected number of patients who actually have the flu out of 25 who call in, given that the probability of having the flu is 4%. This is a case of the binomial probability distribution, where the number of trials (n) is 25, the probability of success (p) is 0.04, and we want to find the expected value (mean) of this distribution.

The expected value (mean) of a binomial distribution is given by the formula E(X) = n  imes p, where E(X) is the expected value, n is the number of trials, and p is the probability of success on a single trial.

Using this formula, we can calculate the expected value as follows:

E(X) = 25  imes 0.04

E(X) = 1

So, on average, for every 25 patients calling in claiming to have the flu, we expect 1 patient to actually have the flu.

Answer:

A = 72 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (9)*16

A = 72 ft^2

A = 72ft².

We have to use the area of a triangle equation A = (b*h)/2.

A triangle with a base b = 9ft and a height h = 16ft:

A = (9ft*16ft)/2 = 144ft²/2

A = 72ft²

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that a system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped.

Let y be the depth of a toy and x is time, in seconds.

In the given graph a solid horizontal line passes through the point (0,-1) and shaded region is above the line. So, the inequality of red line is

[tex]y\geq -1[/tex]

The depth of a toy can be less than -1. It means the pool is 1 meter deep.

The blue line is a dashed line which passes through (0,0) and (2,-1).

So the slope of line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-0}{2-0}=-\frac{1}{2}[/tex]

The equation of blue line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

[tex]y=-\frac{1}{2}x+0[/tex]

[tex]y=-\frac{1}{2}x[/tex]

The shaded region is below the line so the required inequality is

[tex]y< -\frac{1}{2}x[/tex]

it means the toy sinks at a rate of less than 1/2 meter per second.

Therefore the correct option is 1.

Answer:The Answer is A

Step-by-step explanation: I took the test on edge

51 is 33.3% of the number 153.15

The answer is option C.

Calculation:-

let the number be X,

       33.3% of X =51  (as per the question)

      (X*33.3)/100=51

      X=(51*100)/33.3

      X=51 answer

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Answer:

a. Arithmetic

b. [tex]a_{n} = a_{n-1} + 15[/tex]

c. [tex]a_{n} = 15n + 125[/tex]

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

The recursive formula will be the following: [tex]a_{n} = a_{n-1} + 15[/tex]

The explicit formula is the following: [tex]a_{n} = 15n + 125[/tex]

Answer:

See explanation

Step-by-step explanation:

You have to graph the system of inequalities presented as

[tex]\left\{\begin{array}{l}y<4x-2\\y\ge -\frac{5}{2}x-2\end{array}\right.[/tex]

Part A:

1. Draw a dotted line [tex]y=4x-2[/tex] (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

[tex]0<4\cdot 0-2\\ \\0<-2[/tex]

Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).

2. Draw a solid line [tex]y=-\frac{5}{2}x-2[/tex] (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

[tex]0\ge -\frac{5}{2}\cdot 0-2\\ \\0\ge -2[/tex]

Since this inequlity is true, the origin belongs to the shaded region, so you have to shade that part which contains origin (blue part in attached diagram).

The intersection of these two regions is the solution area.

Part B:

Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:

[tex]\left\{\begin{array}{l}-2<4\cdot (-2)-2\\-2\ge -\frac{5}{2}\cdot (-2)-2\end{array}\right.\Rightarrow \left\{\begin{array}{l}-2<-10\\-2\ge 3\end{array}\right.[/tex]

Both inequalities are false, so (-2,-2) doesn't belong to the solution area.

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

We need to get a common denominator of 8

3/8 remains 3/8

We change 1/4 by multiplying by 2/2

1/4 *2/2 = 2/8

3/8 + 1/4

3/8+2/8

5/8

Answer:

D. 18 units

Step-by-step explanation:

This is because . . .

C = 2 * pi * r

Since r = 3 . . .

2 * 3 * 3.1415926 . . .

2 * 3 * 3 = 18 units

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Answer: D . 18 units

Step-by-step explanation:

We know that the circumference of the circle is given by :-

[tex]C=2\pi r[/tex], where r is the radius of the circle.

Given : The radius of  the circle = 3 units

Then , the circumference of the circle will be :-

[tex]C=2\pi (3)[/tex]

We know the the value of [tex]\pi =3.14[/tex], we estimate the value of  [tex]\pi =3[/tex]

[tex]C=2(3) (3)=18[/tex]

Hence, the the best estimate of the circumference of this circle is 18 units.

Answer:

(- 5, 3 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Hence

C(5, 3 ) → C'(- 5, 3 )

If ABC is reflected across the y-axis then the coordinates of c is (-5,3).

The coordinates refers to a point on the graph which are used to draw a line, a shape on the graph by plotting these points.

The coordinates of ABC presently are (1,3),(3,6),(5,3). If we just reflect ABC cross y-axis then on the second quadrant only the value of x changes, the value of y remains same. So we have to just put a negative sign in front of the value of x and it becomes -5 with the value of y=3.

Hence the coordinates of C is (-5,3).

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Answer: what equations did they provide

Step-by-step explanation:

Answer:

(-9,9) is the correct answer

Answer:

A

Step-by-step explanation:

Since the dilatation is centred at the origin, then each of the coordinates of B are multiplied by the scale factor of 3

B(- 3, 3 ) → B'( 3 × - 3, 3 × 3 ) → B'(- 9, 9 ) → A

Answer:

-20

Step-by-step explanation:

1. multiple: 4 * (5) = -20

2. Compare:

>

= 1 >

(-20) = Yes

Answer:

c=-5

d=1

Step-by-step explanation:

[tex](cy^2)(4y^d)=-20y^3[/tex]

I'm going to reorder the left-hand side.  Multiplication is commutative.

[tex](4c)(y^2y^d)=-20y^3[/tex]

Since the bases are the same in [tex]y^2y^d[/tex] and the operation is multiplication, I'm going to add the exponents giving me:

[tex]4cy^{2+d}=-20y^3[/tex]

So this implies we have two equations to solve:

[tex]4c=-20[/tex] and [tex]2+d=3[/tex]

So the first equation can be solved by dividing both sides by 4 giving you [tex]c=-5[/tex].

The second equation can be solved by subtracting 2 on both sides giving you [tex]d=1[/tex].

Answer:

4.8cm ^3

Step-by-step explanation: just finished quiz.... good luck

Answer: (C) 4.8cm3

Just did it on edge

Answer:

720

Step-by-step explanation:

The mean of a set of credit scores is u=690 and o=14.

mean = 690  and standard deviation SD = 14

We use z- score formula

z= 3.3 given

Plug in the values and find out x

Multiply 14 on both sides

46.2 = x- 690

Now add 690 on both sides

x= 736.2

Credit score is 720 that comes under 736.2

Answer:

[tex]\frac{25}{2}[/tex] or 12.5

Step-by-step explanation:

So if 25 - x items are sold, and they each cost x, we can write an equation for the revenue to be

y = (25 - x)x

The vertex of this equation will represent the maximum revenue.  So we need to write this equation in vertex form so we can find the vertex.

Vertex from is

y = a(x - h)^2+ k,

where (h,k) represent the vertex.

the vertex form of this equation would be

[tex]y= -(x-\frac{25}{2} )^{2} +\frac{625}{4}[/tex]

And the vertex would be

[tex](\frac{25}{2} ,\frac{625}{4})[/tex]

This means the maximum revenue will occur when x = 25/2

The maximum revenue is at a price of $11.5 each for a certain lamp

The revenue is the total amount of money that can be made from selling a number of goods.

Revenue = price * total number of items

Since the price per item is x dollars and the total number of items is 25 - x, hence:

Revenue (R) = x * (25 - x) = 25x - x²

R = 25x - x²

The maximum revenue is at dR/dx = 0, hence:

dR/dx = 25 - 2x

25 - 2x = 0

2x = 25

x = $11.5

Hence, The maximum revenue is at a price of $11.5 each for a certain lamp.

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Answer: -2x+10

Step-by-step explanation:

you just multiply x and -5 by -2

Answer:

25/36

Step-by-step explanation:

(2/3)/(24/25)

Solve. Change the division to multiplication, and flip the second fraction:

(2/3) * (25/24)

Multiply across:

(2 * 25)/(3 * 24) = 50/72

Simplify if necessary. Divide common factors:

(50/72)/(2/2) = 25/36

25/36 is your answer.

~

[tex]-a^2b\left(8+a^4b^3\right)[/tex]

When we factor out a expression, we seek the terms that are common and then take it away. This is the opposite of applying distributive. In this exercise, we need to factor the following expression:

[tex]-8a^2b-a^6b^4[/tex], so:

STEP 1: Applying exponent rules:

We know that:

[tex]a^{m+n}=a^mb^n[/tex]

So:

[tex]a^6b^4=a^2a^4bb^3[/tex]

Then, our expression remains:

[tex]-8a^2b-a^2a^4bb^3[/tex]

STEP 2: Taking common factor [tex]-a^2b[/tex], we finally get:

[tex]\boxed{-a^2b\left(8+a^4b^3\right)}[/tex]

Answer:

first choice

Step-by-step explanation:

The volume of a rectangular prism is L*H*B.

So the volume of the rectangular prism pictured here is 24*10*8

The volume of a triangle prism is 1/2 *H*L*B.

So the volume of the triangle prism pictured here is 1/2 *6*24*8

The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:

24*10*8 + 1/2 *6*24*8.

Answer is the first choice.

(It wouldn't be third because 10 has nothing to with the triangular prism part)

Let d = discriminant

d = b^2 - 4ac

Let a = 2, b = 4 and c = -9

We now plug and chug.

d = (4)^2 - 4(2)(-9)

d = 16 - 8(-9)

d = 16 + 72

d = 88

Answer:

А. 88

Step-by-step explanation:

2х^2 + 4x - 9

This is in the form

ax^2 +bx +c

where a=2 b=4 and c=-9

The discriminant is

b^2 -4ac

Substituting into the equation

4^2 -4(2) (-9)

16 - (-72)

16+72

88

Answer:

√x+3=13

Step-by-step explanation:

The equation is √x+3=13 is radical because the unknown, x appears under a radical sign √.

To solve the equation, the unknown is left on one side of the equal sign and then both sides of the equal sign are raised to an equal power which would remove the radical sign.

For example,

√x+3=13

√x=13-3

√x=10

Removing radical.

(√x)²=10²

x=100

To find the value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]), you convert all terms to decimals, simplify, and add them together, resulting in -0.7.

The value of the expression -.75-([tex]-\frac{2}{5}[/tex])+.4+([tex]-\frac{3}{4}[/tex]) is calculated as follows:

First, convert the fraction [tex]-\frac{2}{5}[/tex] to a decimal to simplify the calculation, which is -0.4.

Next, understand that subtracting a negative is the same as adding the positive equivalent, so -(-0.4) becomes +0.4.

Now, add up the numbers: -0.75 + 0.4 + 0.4 - 0.75.

After performing the addition, we get -0.7 as the final value of the expression.

Answer:

Step-by-step explanation:

[tex]x+6y=18\\\\x-intercept\ for\ y=0:\\\\x+6(0)=18\\x+0=18\\x=18\\\\y-intercept\ for\ x=0:\\\\0+6y=18\\6y=18\qquad\text{divide both sides by 6}\\y=3[/tex]

Step-by-step explanation:

An exponential function has the form:

y = a · b^x

Are you sure you copied the problem correctly?  Perhaps instead of minus, you meant multiplication:

f(x) = 620 · 7.8^x

If so, then a = 620 and b = 7.8.

Answer:

[tex]x^2=10+\frac{18y^2}{5}[/tex]

Step-by-step explanation:

If you really want to get x^2 by itself the first step is to add 36y^2 on both sides giving you:

[tex]10x^2-36y^2=100[/tex]

[tex]10x^2-36y^2+36y^2=100+36y^2[/tex]

[tex]10x^2+0=100+36y^2[/tex]

[tex]10x^2=100+36y^2[/tex]

Now you divide both sides by 10:

[tex]x^2=\frac{100+36y^2}{10}[/tex]

You could separate the fraction:

[tex]x^2=\frac{100}{10}+\frac{36y^2}{10}[/tex]

You can reduce both fractions:

[tex]x^2=10+\frac{18y^2}{5}[/tex]