21. If 2 < a < 5, and 3 < b < 6, what are the possible values of a + b?
(A) a + b must equal 8.
(B) a + b must be between 2 and 6.
(C) a + b must be between 3 and 5.
(D) a + b must be between 5 and 8.
(E) a + b must be between 5 and 11.

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Answer:

B. 4d + 50 = 114

Step-by-step explanation:

Given parameters:

Hourly rate = $d/hr

Flat fee = $50

Charge for the 4hrs = $114

Number of hours = 4hrs

To find d;

    Total cost  = $114;

             $114  = Flat fee + (rate per hour x number of hours)

            $114 = $50 + 4d

The value of d can be calculate using;

           4d + 50 = 114

The value of d is 4d + 50 = 114

The three criteria that binomial experiments meet are :

The experiment is referred to as a binomial experiment since there are only two possible output values in a binomial experiment. In the case of binomial experiments, the number of independence variables is fixed.

In the case of binomial experiments, the number of independence variables is fixed. The total number of output values for the binomial experiment is 2. For the binomial experiment, each of the two outputs has a 50% chance of happening—50% for success and 50% for failure.

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Answer:

B. The trials are independent.

C. There are only two outcomes per trial.

E. The probability of success is the same for each trial.

Step-by-step explanation:

and then

B. a survey asking 50 people if they like pizza

C. a survey measuring 50 people to see if they are over 6 feet tall

Answer:

5x(−7yz+4y+3)

Step-by-step explanation:

The angle of rotation that create symmetry in the image is 120°.

We are given an image.

We need to find the angles of rotation that creates this symmetry.

We know that the whole plane is divided into 12 parts.

That is 360° is divided into 12 parts.

So, we get that:

1 part = 360° / 12 = 30°

Now, we can also see that, from rotation to one quadrant to another, the image travels 4 parts of the plane.

So, angle of rotation will be = 4 × 30°

angle of rotation = 120°

Therefore, we get that, the angle of rotation that create symmetry in the image is 120°.

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Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

Noted that the Diagonals of a parallelogram bisect each other. Here in PQSR, it does bisect PT =ST and QT = TR). Hence, PQSR is a parallelogram.

Note that IGHJ is a parallelogram. This is because the opposite sides of a parallelogram are congruent. Here, H = I and G = J. Hence, IGHJ is a parallelogram.

It is correct to state that CABD is a parallelogram because of the alternative interior angles ACB = CBD and ABC = BCD.

VWYX is NOT a parallelogram. The rule states that if opposites sides are congruent then the quadrilateral is a parallelogram. In this case, clearly, line VW ≠ XY and VX ≠ WY.

A parallelogram (which could be a rhombus, rectangle, or square) is a quadrilateral with congruent and parallel opposing sides.

There are six critical parallelogram characteristics to note. They are:

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Answer:

i dont know but

Step-by-step explanation: Use MathPapa it has a every calculator.

Answer:

From ax^2 +bx+c=0

For equal roots, b^2=4ac

From the question, b=-2p, a=1 and c=p+2

(-2p)^2=4(1)(p+2)

4p^2=4p+8

4p^2-4p-8=0

Solving the equation above,

p=-1 or p=2

Step-by-step explanation:

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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Answer:

1500 books

Step-by-step explanation:

30 / 2 = 15

15 x 100 = 1500

Answer:

angle y=59 degrees

angle a= 62 degrees

Step-by-step explanation:

angle t =59

angle t=angle y(given)

therefore;

  angle y=59 degrees

angle a +angle t +angle y=180(sum of the interior angles of a triangle)

 a          +59        +59        =180

               a+118                  =180

                                     a   =180-118

                                       a =  62 degrees

an equation to model this situation is 200 = x+ 2 *t and 220 pounds is  his total weight after 30 weeks

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

x  initial weight of John

weight gained 1 week = 2 pounds

no. of weeks = 20=t

Final weight of John = 200 pounds

200 = x+ 2 *t ---------(1)

no. of weeks = 20=t

From eq(1)

x = 160 pounds= intial weight

So,

\(y = 160+ 2 *t\\y = 160 + 2X 30\\y= 160+ 60\\y = 220 pounds\)

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Answer:

$15.12

Step-by-step explanation:

1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.

14 x 8% = 1.12

2. Add the sales tax amount back to the price.

14 + 1.12 = $15.12

Answer:

(4,5)

Step-by-step explanation:

The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

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Answer

I'm not sure of the context, but one version is. A lumpy fat deposit beneath the skin.

Answer:

its a very common harmless skin condition that causes lumpy,dimpled flesh on the thighs ,hips and butt.

The condition is most prevalent in women.

A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

What is a Coordinate Plane?

A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

Elements of the Coordinate Plane

Quadrants: The two number lines divide the coordinate plane into 4 regions. These regions are called Quadrants. The quadrants are denoted by roman numerals and each of these quadrants have their own properties.

Quadrant I: The upper right Quadrant is the first Quadrant denoted as Quadrant I. In this quadrant, the x-axis and the y-axis both have positive numbers.

Quadrant II: The upper left Quadrant is the second Quadrant denoted as Quadrant II. In this quadrant, the x-axis has its negative numbers and the y-axis has positive numbers.

Quadrant III: The bottom left Quadrant is the third Quadrant denoted as Quadrant III. In this quadrant, both the x-axis and the y-axis have negative numbers.

Quadrant IV: The bottom right Quadrant is the fourth Quadrant denoted as Quadrant IV. In this quadrant, the x-axis has positive numbers and the y-axis has negative numbers.

1.The coordinate plane was created hundreds of years ago. The system is commonly referred to as the Cartesian coordinate system because French mathematician René Descartes invented it.

2.The points on the x-axis have their y-coordinate 0 so the points on x-axis are represented as (x,0) and similarly the points on y-axis have their x-coordinate 0, so they are represented as (0,y).

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Answer:

Definition - The plane containing the "x" axis and "y" axis.

Examples - (4,9), (24,90), etc

Facts - The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin.

Step-by-step explanation:

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 = 6 parts

divide the sum of the angles in a triangle , 180° by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio , the smallest , then

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90° , the largest angle

the angle sizes are 30° , 60° , 90°

smallest + largest = 30° + 90° = 120°

Answer:

\(x=\frac{In(0.5)-1}{2}\)

Step-by-step explanation:

Just took the test - this is correct

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

In my opinion I would say No but I could be wrong

Answer:

40miles

Step-by-step explanation:

because in each 20miles he uses 1gallon anf in this casw he use 2 gallons so maybe 40miles

Answer:

a) See step by Step explanation

b) z(s) = 48.88

c) We reject H₀. The sample is not representative of American Adult Population

Step-by-step explanation:

From sample

sample mean .    x = 49.28

sample standard deviationn   s = 17.21

sample size  n₁  = 4857

Population mean according to Census data

μ  = 37.2

a) Test Hypothesis

Null Hypothesis .                  H₀ .                    x =  μ  = 37.2

Alternative Hypothesis        Hₐ .                    x ≠ μ

b) We have sample size (4857) we can use normal distribution

z (c) for    α = 0.01   α/2 . = 0.005  is from z-table . z(c) = 2.575

To calculate  z(s) =  ( x  - μ ) / s /√n

z(s) =  12.08 * √4857 / 17.21

z(s) = 12.08* 69.64 / 17.21

z(s) = 48.88

z(s) > z(c)

We should reject H₀. The sample is not representative of American Adult population

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped