is 17/100 greater or lesser than 8.7

The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.

What is Probability?

The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.

Probability of happening of an event= Total no of favorable outcomes/                          Total no of outcomes

Here in this question;

P(male/fail)= P(male and fail)/P(fail)

                 = \(\frac{8/123}{(8+16)/123}\)

                 =\(\frac{8}{24} = \frac{1}{3} = 0.33\)

P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)

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The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

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Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The mathemematical sum of the three numbers 1+1+1 would give 3

Addition of numbers can involve 2 or more values using the additive sign '+'. For any given sum of values, the result obtained would be greater than any of the individual value in the sum.

Here, 1 + 1 + 1 means that we are adding 1 in three places. The value obtained would be 3.

Therefore, the sum of the 1+1+1 is 3

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There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-

By taking the quotient between distance and time, we conclude that her speed is 108.8 miles per hour.

Here we will use the next relation:

speed = distance/time.

Here we know that Mackenzie drove 68 miles in (1 + 3/5) hours, then:

distance = 68 mi

time = (1 + 3/5) hours = (8/5) hours.

Then the speed will be:

speed = 68mi/(8/5) hours. = 68*(8/5) mi/h = 108.8 mi/h

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Answer: B.)  3x^2 - 11x - 4 = 0

Step-by-step explanation:

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer: I pretty sure the answer is 92!

Step-by-step explanation:

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam

answer: 92

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

\(P'(x,y) = (x+3, y-8)\)

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

\(P'(x,y) =P(x,y) +T(x,y)\) (1)

Where:

\(P(x,y)\) - Initial position of the traveller, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

\(P'(x,y)\) - Final position of the traveller, dimensionless.

Let suppose that \(y > 0\) represents the number of steps to the north, and \(x> 0\), the number of steps to the east.

If we know that \(P(x,y) =(x,y)\) and \(T(x,y) = (3, -8)\), then the resulting equation is:

\(P'(x,y) = (x,y) +(3,-8)\)

\(P'(x,y) = (x+3, y-8)\)

Answer:

16.67

Step-by-step explanation:

12 is what percent of 72? = 16.67

Answer:

exactly. 16.67

is the answer its process is simple suppose x

a) The number alive after 7 years is given as follows: 48.

b) The percentage of herd that dies each year is of 10%.

The exponential function in the context of this problem is defined as follows:

N(t)=100(0.9)^t.

The parameters of the function are defined as follows:

The amount of herd alive after 7 years is found with the numeric value at t = 7, replacing the lone instance of t in the function by 7, hence:

N(7) = 100 x (0.9)^7 = 48.

(rounding to the nearest whole number).

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

Step-by-step explanation:

We have a liner function

y=kx+b

Where   \(k=-\dfrac{2}{3}\) -slope  ; b-  y intersept

And we know  that it passes through the point (-3 ; 3 )

Then  :

\(\displaystyle -\frac{2}{3} \cdot( -3) +b=3 \\\\ b+2=3 \\\\ b=1 \\\\\)

We have function :

\(\displaystyle y=-\frac{2}{3} x+1\)

\(\rm \displaystyle y=\frac{4}{3}x-4 \\\\ \rm Where:\\\\ a) \ \frac{4}{3} -slope \\\\ b) -4\ - y\ \ intersept \\\\ c) \ The \ graph \ in \ attached \ file\)

Answer: 500,000

Step-by-step explanation: To round the numbers their nearest hundred thousand, first we have to make the first five digits into the lower  number that ends with zero  

Example: 52437 is rounded to the nearest hundred thousand is  52000

Sorry if you don't understand I'm just bad at explaining :) T^T

ANSWER:9

Step-by-step explanation:

Answer:

\(x=13,\:y=0\)

Step-by-step explanation:

Isolate x for 2x-3y=26: \(x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}x=\frac{26+3y}{2}\)

\(\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}\)

\(Simplify\)

\(\begin{bmatrix}39-0.1y=39\end{bmatrix}\)

Isolate y for 39-0.1y=39: y=0

\(\mathrm{For\:}x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}y=0\)

\(x=\frac{26+3\cdot \:0}{2}\)

\(\frac{26+3*0}{2}=13\)

\(x=13\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=13,\:y=0\)

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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\(\sqrt{x(x+1)} = 0\\\\\implies x (x+1) =0\\\\\implies x = 0 ~~ \text{or}~~ x = -1\)

Answer:

x =  0, -1.

Step-by-step explanation:

√(x(x+1)) = 0

If we square both sides we get

x(x + 1) = 0

so  x= 0 or x = -1.

As the equation contains a square root we need to test for extraneous solutions:

x = 0,   √(0(0 +1) = 0 so x = 0 IS a solution.

x = -1,  √(-1(-1 +1) = 0  so x = -1 IS a solution .

The second derivative of f(x) = 2x3 + 9x2 -60x + 70 is f''(x) = 6x2 + 18x - 60, and its sign chart shows that f is concave up for x> -3/2; concave down for x< -3/2; inflection point at x=-3/2, option d is true, and f is concave up for x> -3/2; concave down for x< -3/2; inflection point at x=-3/2.

The second derivative of \(f(x) = 2x3 + 9x2 -60x + 70 is f''(x) = 6x2 + 18x - 60.\) This means that the sign chart for f''(x) is + for x> -10/3, 0 for x= -10/3 and - for x< -10/3. This means that the function is concave up for x> -10/3, concave down for x< -10/3, and has an inflection point at x = -10/3. This means that option d is true, and f is concave up for x> -3/2; concave down for x< -3/2; inflection point at x=-3/2.

To determine this, we need to calculate the second derivative of f(x). The derivative of a polynomial is calculated using the power rule, which states that the derivative of f(x) = axn is f'(x) = anxn-1. Therefore, the second derivative of f(x) = 2x3 + 9x2 -60x + 70 is f''(x) = 6x2 + 18x - 60. We can then plot a sign chart of the second derivative, which will show us the intervals where the function is increasing or decreasing. For f''(x), the sign chart is + for x> -10/3, 0 for x= -10/3 and - for x< -10/3. This means that the function is concave up for x> -10/3, concave down for x< -10/3, and has an inflection point at x = -10/3, which is the same as saying that f is concave up for x> -3/2; concave down for x< -3/2; inflection point at x=-3/2.

The second derivative of f(x) = 2x3 + 9x2 -60x + 70 is f''(x) = 6x2 + 18x - 60, and its sign chart shows that f is concave up for x> -3/2; concave down for x< -3/2; inflection point at x=-3/2.

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Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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\(6 + x = 21 \\ \\ x = 21 - 6 \\ \\ x = 15\)

Answer:

a

The 95% confidence interval is   \(0.5753<  p <0.62474\)  

b

 This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

c

 The margin of error is   \(E =    0.02474 \)  

d

 The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1506

    The sample proportion is  \(\^ p = 0.60\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>   \(E =    1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)    

=>   \(E =    0.02474 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>   \(0.60 - 0.02474 <  p <0.60 + 0.02474\)  

=>   \(0.5753<  p <0.62474\)  

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider  

Answer:

20 %

Step-by-step explanation:

Percentage = \(\frac{2}{10}*100\)

                   = 2 * 10

                   = 20%