(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?

Given:

Let x be the cost of an amaretto pumpkin.

Let y be the cost of a black forest donut.

Let z be the cost of a cotton candy donut

To find:

The cost of a single black forest donut:

Explanation:

Let us frame the system of equations as follows.

Next, we write the augmented matrix for the system,

Solving the matrix using RREF calculator,

The reduced row echelon form is,

Hence, the values are,

Thus, the cost of a single black forest donut is $2.34.

The required commission earned by the salesperson is given as $156.

Given that,
The salesperson's commission on a $1300 sale, if the commission rate is 12%, is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Amount = $1300
Commission = 12% of ammount
Commission = 0.12 × 1300
Commission = $156

Thus, the required commission earned by the salesperson is given as $156.

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Given:

Suppose the temperature x miles above ground level is given by

\(T=74-29x\)

To find:

The inequality and solve the inequality that describes when the temperature is below 50 degrees F.

Solution:

The temperature is below 50 degrees F. It means the temperature is less than 50 degrees F.

\(T<50\)

\(74-29x<50\)

\(-29x<50-74\)

\(-29x<-24\)

Divide both sides by -29 and change the inequality sign.

\(x>\dfrac{-24}{-29}\)

\(x>0.8275862\)

\(x>0.828\)

Therefore, the required inequality is \(74-29x<50\) and the solution is \(x>0.828\).

The inequality of the given situation is required to be solved.

If the miles above ground is greater than 0.828 miles then the temperature is below \(50^{\circ}\text{F}\)

The given equation is \(T=74-29x\)

where,

T = Temperature

x = Miles above ground level

Now if \(T<50^{\circ}\text{F}\)

Solving the inequality

\(74-29x<50\\\Rightarrow -29x<50-74\\\Rightarrow 29x>24\\\Rightarrow x>\dfrac{24}{29}\\\Rightarrow x>0.828\)

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Evaluating the integral-  \(\int_0^1 (u+2)(u-3) du\) we get the simplified answer = -37/6.

Let's evaluate the integral as follows -

\(\int_0^1 (u+2)(u-3) du\)

now lets multiply the expression and we will get,  

\(= \int_0^1 u^2-u-6 d u\)

Distributing the integrals to each expression.

\(= \int_0^1 u^2 d u+\int_0^1-u d u+\int_0^1-6 d u\)

By the Power Rule, the integral of \($u^2$\) with respect to u is  \($\frac{1}{3} u^3$\).

\(= \left.\frac{1}{3} u^3\right]_0^1+\int_0^1-u d u+\int_0^1-6 d u\)

Since -1 is constant w.r.t u, move -1 out of the integral of the second term.

\(= \left.\frac{1}{3} u^3\right]_0^1 -\int_0^1u d u+\int_0^1-6 d u\)

By using the power rule, the integral of \($u^2$\) w.r.t to u is \($\frac{1}{2} u^2$\)

\(= \left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{1}{2} u^2\right]_0^1\right)+\int_0^1-6 d u\)

Let's Combine \($\frac{1}{2}$\) and \($u^2$\).

\(= $$\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+\int_0^1-6 d u$$\)

Now, apply the constant rule,

\(= $$\left.\left.\left.\frac{1}{3} u^3\right]_0^1-\left(\frac{u^2}{2}\right]_0^1\right)+-6 u\right]_0^1$$\)

Substituting the limits and simplifying we get,

= -37/6

Hence, the simplified answer for the given integral \(\int_0^1 (u+2)(u-3) du\) is -37/6.

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The complete question is-

Evaluate the integral-  \(\int_0^1 (u+2)(u-3) du\).

Answer:

I think its $1000

Step-by-step explanation:

if she earned $12 the 1012-12=1000

Answer:

I really don't know much but this is what I know

If she has $12 dollars in interest and a year later she has $1012 making it so she earned EXACTLY $1,000 in the time being.

Answer:

44.47 cm² (nearest hundredth)

Step-by-step explanation:

Area of ΔABC = 1/2 x base x height

⇒ 21 = 1/2 x 7 x BC

⇒ BC = 6 cm

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AB² + BC² = AC²

⇒ 7² + 6² = AC²

⇒ AC² = 85

⇒ AC = √85 cm

Cosine rule to find length AD:

      c² = a² + b² - 2 ab cosC

⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)

⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°

⇒ AD²  - 5.39106...AD + 0.36 = 0

⇒ AD = 5.323442445, 0.06762541414

⇒ AD = 5.323442445

Area of a triangle ADC: (1/2)absinC

(where a and b are adjacent sides and C is the angle between them)

⇒ area = (1/2) × AC × AD × sin(DAC)

⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)

⇒ area =23.4675821... cm²

Area of quadrilateral = area of ΔABC + area of ΔADC

                                   = 21 + 23.4675821...

                                   = 44.47 cm² (nearest hundredth)

\({Answer}\)

The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution.

No-shows Probability

0 0.30

1 0.20

2 0.20

3 X

4 0.15

The following

Expected value = (0)(0.30) + (1)(0.20) + (2)(0.20) + (3)(X) + (4)(0.15)

= 0 + 0.20 + 0.40 + 0.15(4) + 3X

= 1.20 + 3X

Since the sum of the probabilities must equal 1, we have

0.30 + 0.20 + 0.20 + X + 0.15 = 1

X = 0.15

Therefore, the expected value of the number of no-shows is

Expected value = 1.20 + 3(0.15) = 1.65

To find the variance, we can use the formula

Variance =\((0 - 1.65)^2(0.30) + (1 - 1.65)^2(0.20) + (2 - 1.65)^2(0.20) + (3 - 1.65)^2(0.15) + (4 - 1.65)^2(0.15)\)= 0.5625

Therefore, the variance is 0.5625, which means the standard deviation is the square root of the variance.

Standard deviation = \(\sqrt{0.5625}\) = 0.75

Hence, the correct option is A 1.65 customers.

Hence, the correct option is E 0 customers.

We have already found the variance to be 0.5625.

Hence, the correct option is C 0.15.

We have already found the expected value to be 1.65.

Hence, the correct option is D 1.424.

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Answer:

(-3,-6)

Step-by-step explanation:

let k be x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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The difference between the distance between the two cities if of 14.842 latitudes.

The earth has one latitude running right in the center called the equator. On either side of the equator, there are 90 more latitudes each.

Therefore, the earth has 181 latitudes.

Now if we see the image we can see that all these latitudes fall on the vertical diameter of the Earth.

Hence the distance covered by all 181 latitudes = 2 X radius of the Earth

= 2 X 6378 km

= 12756

Assuming that all the latitudes are equidistant, we get the distance between 2 latitudes to be

12756/181

= 70.475 km

Let the two cities be A and B. It is given that the distance between the two cities is 1046 km and one is due north of the other.

Therefore the difference in latitudes between the two cities is

1046/70.475

= 14.842 latitudes

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The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.

So, the ratio of gallons of blue paint to gallons of yellow paint is

= 5 to 9  or 5:9

Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint

= 1- 5/9

=4/9

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100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Answer:

D: 39

Step-by-step explanation: Using the steps of the Pythagorean theorem.

The sum of angles of a triangle equals the straight angle (180°), therefore:

3x + 12x + 1 + 16x - 7 = 180

31x-6=180

31x = 180 + 6

31x = 186

x = 186/31

x = 6

Then, the angles are:

3(6) = 18°

16*6 - 7 = 89°

12(6) +1 = 73°

When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

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A: The probability that the player gets a move on 3 is 3:42  that is 1:14.

To get into this solution , we first determine all the possible outcomes.

With one dice there are 6 possible outcomes .

With two dice there are 36 possible outcomes because of the combination of the 6 outcomes from each die.

This means there are 36 + 6 = 42 total possible outcomes.

Probability of getting 3 when  one dice is rolled - 1:6.

Probability of getting 3 in two dice is rolled-

There are two possible combinations that is - [(1,2) , (2,1)].

This means there are total of 3 outcomes out of 42 possible outcomes.

Hence the probability that the player gets a move on 3 is 1:14.

B: For a roll(sum) between 5 and 6, a biased coin would give the player an advantage.

A biased coin would give the player an advantage because the player can select one die and improve their odds of getting a 5 or a 6 , which is less likely when rolling two dice.

If the biased coin allows the player to choose two die, the odds of getting a 5 or a 6 is 1:4, a simplification of 9 desired outcomes out of a possible 36.

When rolling two dice , there are 36 possible combinations. The combinations that can result in total of 5 or 6 are [(1,4) , (4,1) , (2,3) , (3,2) , (1,5) , (5,1) , (2,4) , (4,2) , (3,3)].

As the player would want to have a better chance of getting a 5 or a 6, they would want to roll one die.

Knowing the outcome of a biased coin would allow them to choose the side that results in rolling one die rather than two.

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answer

its d

Step-by-step explanation:

The equation that best represents the situation would be y=0.15x +0.55.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The equation that best represents the situation is =

y=0.15x+0.55

The equation for the postal service charges

The amount that is charged for 1 ounce first-class letter = $0.55

The cost for any additional ounce = $0.15

Let x represent the additional ounce.

The total price represented by y

y = 0.15x +0.55

Therefore, the equation that best represents the situation is y=0.15x+0.55

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Answer: x= −1 /3 y+ −2 /3

Step-by-step explanation:

Answer:

y = -2 - 3x

Step-by-step explanation:

3x + y = -2

=> y = -2 - 3x

According to the information the cost per pound of the soup is $3.63.

To determine the cost per pound of the soup, we need to calculate the total cost of all the ingredients and then divide it by the total weight of the soup.

So, the total cost of the soup is $9.16 + $16.84 + $13.90 = $39.90.

Additionally we have to caltulate the total weight of the soup as is shown:

Finally, to find the cost per pound of the soup, we divide the total cost ($39.90) by the total weight (11 pounds):

Therefore, the cost per pound of the soup is $3.63.

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Answer:

260x = 170

x=170/260 * 100% = 65.4 %

Step-by-step explanation:

Answer: 56 on average

Step-by-step explanation:

30 + 45 + 50 + 75 + 80 = 280

divide by amount of numbers (5)

280 / 5 = 56

The length of the other base of Rose's garden is 8 meters.

A trapezoid is a quadrilateral that has two parallel sides that are unequal in length to each other. To get the area of a trapezoid whose bases are a and b, it is the sum of the bases divided by two and multiplied by the height or

A= {(a+b) /2 } × h

it is given that height is 16m,

one the base is 20m,

the area is 224m²

substituting the values in the above equation,

224 = {(20 + b) / 2} × 16

14 = (20 + b) / 2

28 - 20 = b

b = 8 m

therefore the length of the other base is 8 meters.

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2x-6.3=39.2

2x-6.3+6.3=39.2+6.3

2x=45.5

2x=45.5

2x/2 = 45.5/2

x=22.75

x=22.75

Yes, these data support the scientist's belief that large islands are more effective at protecting at-risk species than small islands. To provide statistical justification, we can compare the probability of extinction for each island size: For large islands, the probability of extinction is 19/208, or approximately 0.091. For small islands, the probability of extinction is 66/299, or approximately 0.221.

The data provided can support the scientist's belief that large islands are more effective than small islands for protecting at-risk species. We can use the concept of probability to calculate the likelihood of extinction for both large and small islands.

For the large island, the probability of extinction for any given species is 19/208 or approximately 0.091. For the small island, the probability of extinction for any given species is 66/299 or approximately 0.221.

Comparing these probabilities, we see that the probability of extinction is higher for at-risk species on small islands than on large islands. This supports the scientist's belief that large islands are more effective for protecting at-risk species.

Additionally, we can use statistical tests such as a chi-square test or a two-sample t-test to confirm whether the difference in extinction rates between large and small islands is statistically significant.

These tests would require more information such as sample size and variance, but based on the provided data alone, the probability calculations suggest that the scientist's belief is supported.

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Answer:

b

Step-by-step explanation:

have a great day and hope helpful

The values are calculated using the basic properties as follows.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Trigonometric functions are also called as Circular functions.

Given sin θ = \(\frac{3}{7}\) and cot θ = \(\frac{2\sqrt{10} }{3}\)

In order to solve this, you need to know some of the basic trigonometric properties.

1. cot θ = 1 / tan θ

tan θ = sin θ / cos θ

So, cot θ = cos θ / sin θ

\(\frac{2\sqrt{10} }{3}\) = cos θ /  \(\frac{3}{7}\)

cos θ =  \(\frac{2\sqrt{10} }{3}\) ×  \(\frac{3}{7}\)

cos θ = \(\frac{2\sqrt{10} }{7}\)

2. tan θ = 1 / cot θ

tan θ = 1 / [\(\frac{2\sqrt{10} }{3}\)]

tan θ = \(\frac{3}{2\sqrt{10} }\)

3. sec θ = 1 / cos θ

sec θ = 1 / [\(\frac{2\sqrt{10} }{7}\)]

sec θ = \(\frac{7}{2\sqrt{10} }\)

4. csc θ = 1 / sin θ

csc θ = 1 / [\(\frac{3}{7}\)]

csc θ = \(\frac{7}{3}\)

Hence the values of the trigonometric functions are calculated.

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Answer:

The value of x from the figure is 58 degrees

To get the value of x, we will use the formula:

The angle at the vertex = 1/2(difference of angles at the arc)

Angle at the vertex = 1/2(160 - x)

51 = 1/2(160 - x)

102 = 160 - x

x = 160 - 102

x = 58 degrees

Hence the value of x from the figure is 58 degrees

Answer:

138

Step-by-step explanation:

You take the measure from <1 and subtract it from 160 and that give you <2.<2 and <6 are corresponding angles so they have to have the same measure.

The required measure of angle ∠6 is 138°.

Given that,
x∥y and m∠1 = 42°. what is m∠6 is to be determined.

The angle can be defined as one line inclined over another line.

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

Here,
Since line x and y is parallel,
∠1 = ∠5
Now,
∠6 + ∠5 = 180
∠6 + ∠1 = 180
∠6 + 42 = 180
∠6 = 180 - 42
∠6 = 138°

Thus, the required measure of angle ∠6 is 138°.

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