Angel typically orders a 12-ounce Frappuccino that has 430 calories. If she orders the 20 ounce version, how many calories does it
have? Round to the nearest whole number.
Answer: ___ calories

The probability that the sum of the dice is 9 is, 4/33.

What is dice?

Dice are little, thrown-away devices with marked sides that can rest in various locations. They are frequently employed in tabletop games including dice games, board games, role-playing games, and games of chance to provide random values.

Let two fair dice are rolled.

So the possible number of outcomes are,

(1, 1)  (1, 2)  (1, 3)  (1, 4)  (1, 5)  (1, 6)

(2, 1)  (2, 2)  (2, 3)  (2, 4)  (2, 5)  (2, 6)

(3, 1)  (3, 2)  (3, 3)  (3, 4)  (3, 5)  (3, 6)

(4, 1)  (4, 2)  (4, 3)  (4, 4)  (4, 5)  (4,6)

(5, 1)  (5, 2)  (5, 3)  (5, 4)  (5, 5)  (5, 6)

(6, 1)  (6, 2)  (6, 3)  (6, 4)  (6, 5)  (6, 6)

There are total 36 outcomes.

There are 33 outcomes with sum greater than 3.

The outcomes with sum greater than 9 are, 4 which are (3, 6), (4, 5), (5, 4) and (6, 3).

Hence, the probability that the sum of the dice is 9 is, 4/33.

To know more about the dice, click on the link

https://brainly.com/question/2264527

#SPJ1

Answer: (0,-2)

Step-by-step explanation: just multiply

Answer:

11

Step-by-step explanation:

x = 2(-x) + 33

x = -2x + 33

x + 2x = 33

3x = 33

3/3 x = 33/3

x = 11

Answer:

( y + 3 ) = - ( x + 6 )

Step-by-step explanation:

The Equation of Line in Point-Slope Form is

[tex](y-y_1)=m(x-x_1)\\where\ m \is \ the \ slope\ and \ (x_1 , y_1) \ is \ any \ point \ on \ the \ line[/tex]

So by Substitution by the Givens

( y - (-3) ) = -1( x - (-6) )

( y + 3 ) = - ( x + 6 )

Glad to Help

In probability theories, events which can never occur together are classified as "mutually exclusive events" that is option A.

Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin toss, which can result in either heads or tails but not both, serve as an obvious illustration. Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot get both outcomes. Since they do not occur at the same time, such events are also known as disjoint events.

To know more about mutually exclusive event,

https://brainly.com/question/28565577?referrer=searchResults

#SPJ4

The length of the square, given the height of the King, can be found to be 1.25 inch.

The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.

If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height

Solving gives us:

= (2 . 25 x 2 . 5 ) / 4.5

= 5.625 / 4. 5

= 1.25 inches

Find out more on ratios at https://brainly.com/question/13483307

#SPJ1

The equation is,

→ 3y - 7(y + 5) = y - 35

Now the value of y will be,

→ 3y - 7(y + 5) = y - 35

→ 3y - 7y - 35 = y - 35

→ -4y - y = -35 + 35

→ -5y = 0

→ y = 0/-5

→ [ y = 0 ]

Hence, option (a) is correct.

Step-by-step explanation:

-8(x + 7.5) ≤ 10?

expand left side:

-8x - 60 ≤ 10

subtract 60 to both sides:

-8x - 60 + 60 ≤ 10 + 60

-8x ≤ 70

dive both sides by -8: (Remember when dividing by a negative number, you flip the direction of the inequality sign)

-8x/-8 ≥ 70/-8

x ≥ -35/4

reduce right side:

x ≥ -35/4 or x ≥ -8.75 [depends on if you need fractional or decimal format]

so in set builder format: [-35/4 , ∞) or [-8.75 , ∞) [depends on if you need fractional or decimal format]

The given alternate possible way given in the question is not good as the sample does not follow the conditions of the definition of SRS in the study.

SRS is a group or sample size of "n" objects in a population of "n" objects in which all the possible samples would have equal chances to occur or happen.

In the alternate case, There 200 trees sample is taken from near the highway, that can have fewer chances to be infected or can have more infected.

The fact that the sample was not taken randomly and has not been selected in such a way that each tree has equal chances to happen.

Hence we get the required answer.

Learn more about SRS problems here:

brainly.com/question/14802845

#SPJ4

Considering the expression in this problem, it is found that:

a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).

b) The expression would be of: C(f) = 15f + 0.096(15f).

The expression for the total cost in this problem is presented as follows:

C(f) = 14f + 0.096(14f).

The meaning of each term is given as follows:

If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:

C(f) = 15f + 0.096(15f).

That is, the two instances of 14 in the equation were replaced by 15.

More can be learned about expressions at https://brainly.com/question/9409187

#SPJ1

The number of perennials flower from 60 flowers seen by the students with of which 70% were perennials flowers is 42.

Perennials Flowers are plants that live more than two years.

To calculate the amount of perennial flowers seen by the students, we use the techniques of percentage.

Using the formula,

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the number of perennials flower is 42.

Learn more about perennials flower here: https://brainly.com/question/843074

#SPJ1

The value of 1/10 of 0.5 lies between 0.1 and 0.2

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Given:

Point on the number line to show the value that is 1/10 of 0.5

So, 1/10 of 0.5

= 1/10 x 0.5

= 0.05

Hence, the value of 1/10 of 0.5 lies between 0.1 and 0.2

Learn more about Number line here:

https://brainly.com/question/13425491

#SPJ1

3/3 * 3/4 is fraction of green color .

What is fraction in math?

green colored boxes = 3

blue colored boxes = 3

fraction of green = 3/3 * 3/4

Learn more about fraction

brainly.com/question/10354322

#SPJ13

The correct graph for each of the equations are respectively;

5) Graph C

6) Graph A

7) Graph B

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

5) We are given the linear equation as;

-9x + 3y = 0

3y = 9x + 0

y = 3x + 0

The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C

6) We are given the linear equation as;

4x - 6y = 12

Rearranging we have;

6y = 4x - 12

y = ⁴/₆x - 2

y = ²/₃x - 2

Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A

7) The correct graph of the function 25x - 10y = -50 is the graph B.

Read more about Linear Equation Graphs at; https://brainly.com/question/4074386

#SPJ1

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.

The point (3, 5) is the vertex of the graph, therefore:

(h, k) = (3, 5)

Plug in h = 3 and k = 5 into, y = a|x – h| + k:

y = a|x - 3| + 5

Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

2 = 2a [subtraction property]

1 = a [division property of equality]

a = 1

Substitute the value of a into the equation y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the graph].

Learn more about equation of absolute value function on:

https://brainly.com/question/25290500

#SPJ1

Answer:

1. y=2x+4

2. y=x

3. y=-1/2x+1

4. y=-x+1

Step-by-step explanation:

the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.

The factors of the quadratic equation are x≥-4, x≥2 and lies in the interval (-∞, -4]∪[2, ∞)

A quadratic equation is any equation that can be rearranged in standard form as ax²+bx+c=0 where x represents an unknown value and a, b, and c represent known numbers. In general, a = 0; equations with a = 0 are considered degenerate because the equation becomes linear or even simpler. The numbers a, b, and c are the equation's coefficients, and they can be distinguished by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively.

To find x-intercept y=0

y≥x²+2x-8

x²+2x-8≥0

x²+4x-2x-8≥0

x(x+4)-2(x+4)≥0

(x-2)(x+4)≥0

∴x≥-4, x≥2

∴(-∞, -4]∪[2, ∞)

Therefore, the factors of the quadratic equation are x≥-4, x≥2 and lies in the interval (-∞, -4]∪[2, ∞)

To know more about quadratic equation, visit:

https://brainly.com/question/17177510

#SPJ1

The dimensions of the kennel and the size of the cylinder indicates;

4.1.1. The two 3D objects which the figure consists of are a triangular prism that lays on top of a rectangular prism at the bottom.

4.1.2. The area of the wood needed to build the dog kennel is approximately 2.85 m²

4.1.3. The number of containers of sealant needed to paint one coat on the dog kennel is approximately 2 containers

4.2. The new height of the water in the container will be approximately 18 cm.

The surface area of a solid is found by adding together the area of the surfaces that enclose the solid.

4.1.1. The two 3D objects in the figure are;

4.1.2. The amount of wood needed is found by finding the surface area, A, of the dog kennel as follows;

A = 2×80×60+2×50×60+50×80+2×0.5×80×40+2×√(40²+40²)×50

A = 22800 + 80·√2×50 = 22800 + 4000·√2

The amount of wood needed = (22800 + 4000·√2) cm²

1 m² = 10,000 cm²

(22800 + 4000·√2) cm² = ((22800 + 4000·√2))/10,000 m²

((22800 + 4000·√2)) cm² = (2.28 + 0.4·√2) m² ≈ 2.85 m²

4.1.3. 500 milliliters of paint is enough to for 1.5 m² area

The number of containers of paint containers required, n, is therefore;

[tex]n = \dfrac{(2.28 + 0.4\cdot \sqrt{2}) \, m^2 }{1.5 \, m^2/container} = (1.52+0.\overline 6\cdot\sqrt{2} ) \, containers \approx 2 \, containers[/tex]

4.2 Diameter of the base of the water container = 20 cm

Radius of the base = (20 ÷ 2) cm = 10 cm

Height of water in the container = 15 cm

Volume of water added = 1,000 cm³

The new height will be 15 + (1,000/(π×10²)) = (15 + 10/π) cm ≈ 18 cm

The height of the water in the container will rise to approximately 18 centimeters

Learn more about the volume and surface area of regular solids here:

https://brainly.com/question/28822252

#SPJ1

By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

SSS Similarity Theorem: What is it?

The SSS similarity theorem is used to determine whether or not two triangles are similar.

The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.

The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.

So, according to the SSS similarity theorem,

x/35 = 44/20

x =44 *35 /20

x =77

By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

Learn more about SSS similarity theorem :

brainly.com/question/26643163

#SPJ4

Answer:28

Step-by-step explanation:

Answer:58

Step-by-step explanation:

The angle RSQ = 105° and angle PQS = 78°

Given,

In the question:

In the figure,

PSR is a straight line .

To find the angle RSQ and angle PQS.

Now, According to the question;

In ΔQRS,

we know that :

Sum of angle of triangle is 180 degree.

Angle (SQR + QRS + RSQ) = 180°

In the figure,

Angle (23° + 52° + RSQ) = 180°

75° + ∠RSQ = 180°

∠RSQ = 180 - 75

∠RSQ = 105°

We have to find the ∠PQS

Now, PSR is a straight line

In Triangle PSQ

Find the ∠S

105 + ∠S = 180° (Linear Pair)

∠S = 75°

In ΔPQS

Angle(SPQ + PQS + QSP) = 180°

Angle(27° + PQS + 75° ) = 180°

∠PQS = 180 - 102

∠PQS = ∠78°

Hence, The angle RSQ = 105° and angle PQS = 78°

Learn more about Angles at:

https://brainly.com/question/17039091

#SPJ1

The value of the expression when a=2 and b=7 is 41.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the expression given is 3a + 5b and we want to find the value of the expression when a=2 and b=7.

This will be illustrated thus:

= 3a + 5b

= 3(2) + 5(7)

= 6 + 35

= 41

The value is 41.

The complete question is given below.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Complete question

The expression given is 3a + 5b. Find the value of the expression when a=2 and b=7

Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

Answer:

TW = 16.8

Step-by-step explanation:

When two chords of a circle intersect inside the circle, then the product of the lengths of the chords of one segment equals the product of the lengths of the segments of the other chord.

Here,

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

The value of TW is 16.8 in a circle.

The product of all the chord values of one segment, where two chords from a circle cross from within the circle, equaled the product of the chord measures of each additional segment. The value of the cord will be the distance with respect to the circle that is present in the circle.

The value of WS = 30

The value of UV = 18

The value of WV = 28

The value of TW is:

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

Learn more about the chord of a circle, here:

https://brainly.com/question/31435511

#SPJ2

You can use similar triangles to find missing measures according to proportional relationships.

Similar triangles are two triangles that share these two features listed as follows:

The second feature, the proportional side lengths, is what is used to find the missing measures, as proportional relationships are built according to them.

When two triangles are similar, the equivalent side lengths have to be identified for the two triangles, and those are the sides that have the same angle measures.

Then, for the two triangles, the equivalent sides will have proportional lengths, and then these equations will involve a missing length. Then cross multiplication is applied and the equation can be solved for the missing length.

More can be learned about similar triangles at brainly.com/question/11920446

#SPJ1

The relative risk of the disease influences this measure of effect in exposed individuals versus unexposed individuals and the prevalence of exposure in the population.

As stated, the population etiology fraction measures the disease rate in a population attributable to the exposure of interest. A measure that is primarily determined by the exposure caused by a particular disease. Therefore, it may be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals, as well as the prevalence in the population of the exposure.

An epidemiological tool is the Population Attributable Risk, also called the Etiologic Fraction or Attributable Fraction. Efforts to eliminate a given risk factor would be expected to reduce the attributable risk to a specific percentage. The attributable risk of disease is calculated by combining the relative risk for a given exposure with the prevalence of the exposure in the population.

To Learn more about Diseases:

https://brainly.com/question/14842451

#SPJ4

The  dimensions of recangle is = 30 yrds.

acc to our question-

Learn more about area of rectangle click here:

https://brainly.com/question/25292087

#SPJ4