Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?

X=3

Algebra is not one of my fav subjects in math but I do know this!

when solving what you do to one side you do to the other so

if 3x-2=7

the 2 is negative so you change that -2 into a positive

so add 2 to both sides

7+2=9

3x=9

now divide both sides by 3

X= 9/3 (nine over three)

now divide 9 by 3

9÷3=3

x=3

(Hope this helps!)

The mathematical operation which must be performed on both sides of the equation, in order to isolate the variable (x) is to add 2.

A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

In this exercise, the mathematical operation which must be performed on both sides of the equation, in order to isolate the variable (x) is to add 2 as shown below:

\(7=3x-2\\\\7+2=3x-2+2\\\\9=3x\\\\x=\frac{3}{9} \\\\x=\frac{1}{3}\)

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Answer:

3 1/3

Step-by-step explanation:

trust me

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

Number of cheesecakes | Number of blocks of cream cheese

Cheesecakes         Blocks of Cream Cheese

      6                                   60

     12                                   120

     18                                   180

     24                                   240

     30                                   300

The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.

If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:

6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese

To solve for x, we can cross-multiply:

6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes

540 cheesecakes = 60x

Dividing both sides by 60, we get:

x = 9 cheesecakes

Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.

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Answer:

The 96% CI on the death rate from lung cancer is (0.4177, 0.4823).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Of 1000 randomly selected cases of lung cancer, 450 resulted in death within 5 years.

This means that \(n = 1000, \pi = \frac{450}{1000} = 0.45\)

96% confidence level

So \(\alpha = 0.04\), z is the value of Z that has a p-value of \(1 - \frac{0.04}{2} = 0.98\), so \(Z = 2.054\).  

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 - 2.054\sqrt{\frac{0.45*0.55}{1000}} = 0.4177\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.45 + 2.054\sqrt{\frac{0.45*0.55}{1000}} = 0.4823\)

The 96% CI on the death rate from lung cancer is (0.4177, 0.4823).

Answer:

2 B + p h

Step-by-step explanation:

The Surface Area = 2 B + p h

B is the area of the triangular base of prism

p perimeter of the base and

h the height of the prism

Answer:SA=(1/2)(5)(12)+(1/2)(5)(12)+(5)(2)+(12)(2)(13)(2)

Ans C

Step-by-step explanation:

Edgy

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

the first one is 32.0

under 32.0 its 30

put a 6 above the 2

and a 4 next to the 6

under the 20 you will add another 20

Step-by-step explanation:

Answer:

15 8/9 pounds of 24%

28 1/9pounds of 60%

Step-by-step explanation:

x = pounds of 24%

44 - x = pounds of 60%

24x + 60(44  - x) = 47(44)

24x + 2640 - 60x = 2068

-36x + 2640 = 2068

-36x = -572

x = 15 8/9

44 - x = 28 1/9

Rounded

15 8/9 pounds of 24%

28 1/9pounds of 60%

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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Answer:

4a=23

4a/4 = 23/4

a=5.75

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

The answer is 0.50 because to find the cost per mile, we divide the cost by the miles. So we would have 3,500/9,000. When we do this, we get 0.50, which is the answer.

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

f(x)=(x−3)(x+1)(x−1)(x+2)

Step-by-step explanation:

Answer:

(2, 0)

Step-by-step explanation:

The solution is x=2 and y=0

(2, 0)

Answer:

Solution is (2,0)

Step-by-step explanation:

The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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First, you should simplify the function expression.

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

So: 15 + 5k = 0

5k = -15

k = -3

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

Answer:60

Step-by-step explanation:

60 ÷ 10 = 6

60 ÷ 5 = 12

The inequality that represents the possible height (h) of the box is h ≤ 20

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the box. The base measures 15 inches by 20 inches and the height cannot exceed 55 inches. Hence:

height + length + width ≤ 55

h + 20 + 15 ≤ 55

h ≤ 20

The inequality that represents the possible height (h) of the box is h ≤ 20

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Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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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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Step-by-step explanation:

\(15 = - 5x + 10 \\ - 5x = 15 - 10 \\ - 5x = 5 \\ x = \frac{5}{ - 5} \\ x = - 1 \\ thank \: you\)

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

Step-by-step explanation:

Its 4.51