7. Which statements correctly describe the equation 12 x 15 = 180? Choose all that apply.
A. 180 is 15 more than 12,
(
B. 180 equals 15 times as many as 12.
C 180 equals 12 times as many as 15,
D. 180 is 12 more than 15,
E, 180 represents 12 groups of 15.

The statement "90% of dentists recommend sugarless gum for their patients who chew gum" is a conditional probability statement.

A conditional probability statement expresses the likelihood of an event (in this case, dentists recommending sugarless gum) given that a specific condition is satisfied (patients who chew gum). The statement indicates that among the dentists surveyed, 90% of them recommend sugarless gum specifically for patients who chew gum.

In this case, the condition is that the patients chew gum. The probability of dentists recommending sugarless gum is stated to be 90% under this condition. It implies that if a patient chews gum, there is a 90% chance that their dentist would recommend sugarless gum.

Conditional probability statements are useful in understanding the likelihood of events based on certain conditions or circumstances. They allow us to assess the probability of an outcome given that a specific condition is met, providing valuable information in various fields, including healthcare and decision-making.

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Complete question :

The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Answer: C. How long was each rehearsal?

Step-by-step explanation:

Total time spent preparing for play = 790 hours

Of the 190 hours :

Number of rehearsals = 35

Others = 93 3/4 hours

What question does the equation 35 x + 93 3/4 equal 190

35x + 93 3/4 = 190

(Number of rehearsals) * x + others = total time

x = time spent on each rehearsal

35x = 190 - 93 3/4

35x = 96.25

x = 96.25 / 35

x = 2.75 hours

Each rehearsal took 2.75 hours

Answer:

Step-by-step explanation:yes

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Step-by-step explanation:

well, yes, of course 7 is wrong.

please read the description one more time, slowly and focused.

2 8/9 (or rounded 3) CUPS of mix for 1 (ONE) batch of muffins.

now she wants to make 21 1/2 (or rounded 22, not 21) BATCHES.

you understand ? the 3 is for cups for one batch, and the 22 is for batches (not for cups).

so, when you suddenly divide these two numbers, you actually compare apples and oranges ...

so, let's really think.

1 batch : 3 cups

22 batches : how many cups ?

do you see now what pieces of information are related ?

1 and 22. not 3 and 22.

but what we need to do now is multiply 3 cups by 22, so that the ratio cups to batches stays the same also for 22 batches.

so,

3×22 = 66

she will need approximately 66 cups of mix.

Answer:

V = 268

Step-by-step explanation:

2 8/9 ≈ 3 cups per batch

21 1/2 = 21.5 ≈ 22

22 x 3 = V = 268

There are 26 uppercase English letters and 10 digits (0 to 9). Therefore, there are $26 \times 26 \times 10 \times 10 \times 10 \times 10 = 67,!600,!000$ ways to form a license plate with two uppercase English letters followed by four digits.

Similarly, there are $26 \times 26 \times 26 \times 26 \times 10 \times 10 = 45,!697,!600$ ways to form a license plate with four uppercase English letters followed by two digits.

The total number of possible license plates is the sum of these two numbers:

67,600,000 + 45,697,600 = 113,297,600

Therefore, there are $113,!297,!600$ possible license plates that can be made using either two uppercase English letters followed by four digits or four uppercase English letters followed by two digits.

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Answer: Choice C. 110ft

Step-by-step explanation:

Near a 30,60,90 triangle, multiply by \(\sqrt{3}\) to approximate the distance from point B to the tree.

Answer:

82

Step-by-step explanation:

I want to say 82 but i am not positive

Answer:

  (3.75, 3.5)

Step-by-step explanation:

The weighting factors for the weighted average of the end points are the reverse of the length ratios.

For a 1 : 3 split, the first point is weighted by a factor of 3; the second point is weighted by a factor of 1. The weighted sum is divided by the total of the weights.

  (3(3, 2) +1(6, 8))/(3+1) = (9+6, 6+8)/4 = (3.75, 3.5)

Answer:

\(\fbox{\begin{minipage}{9em}Option d is correct\end{minipage}}\)

Step-by-step explanation:

Given:

Point A(3, 2)

Point B(6, 8)

Point C lies on segment line AB and divides AB into a ratio of 1 : 3

Solve for:

Coordinate of C

Solution:

Denote the coordinate of origin O(0, 0)

Point A(3, 2) => Vector OA(3 - 0, 2 - 0) or OA(3, 2)

Point B(6, 8) => Vector OB(6 - 0, 8 - 0) or OB(6, 8)

=> Vector AB = Vector OB - Vector OA = (6 - 3, 8 - 2) or vector AB(3, 6)

Point C lies on segment line AB and divides AB into a ratio of 1 : 3

=> Vector AC = (1/3) Vector CB, or

    AC/CB = 1/3

=> AC/(AC + CB) = 1/(1 + 3)

=> AC/AB = 1/4

=> AC = AB/4

=>  Vector AC = (1/4) Vector AB  = ((1/4)*3, (1/4)*6) = (0.75, 1.5)

=> Vector OC = Vector OA + Vector AC = (3 + 0.75, 2 + 1.5) = (3.75, 3.5)

=> C(3.75, 3.5)

Option d is correct!

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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In a cycle graph \(C_n\), each vertex is adjacent to exactly two other vertices. Since there are n vertices in total, each contributing two edges, the total number of edges in the graph is n, confirming that every Cn has exactly n edges.

In a cycle graph \(C_n\), each vertex is adjacent to exactly two other vertices. Starting from any vertex, we can move along the cycle, visiting each vertex once and returning to the starting vertex. As we traverse the cycle, we add an edge for each pair of adjacent vertices. Since we visit each vertex once, and each vertex is adjacent to two other vertices, the number of edges in the cycle graph is n.

Therefore, we can conclude that every cycle graph \(C_n\) has exactly n edges.

To prove the statement using induction, we need to show that it holds true for the base case, and then demonstrate that if it holds true for any \(C_k\), it also holds true for \(C_{k+1}\).

Base case: For n = 3, we have a triangle, which consists of three vertices and three edges. So, the statement holds true for the base case.

Inductive step: Assume that the statement holds true for a cycle graph \(C_k\). Now, consider the cycle graph \(C_{k+1}\). By adding one more vertex and connecting it to the existing cycle, we introduce exactly one new edge. Therefore, the number of edges in \(C_{k+1}\) is k (the number of edges in \(C_k\)) plus one additional edge, which gives us k+1 edges.

By the principle of mathematical induction, we can conclude that the statement holds true for all cycle graphs \(C_n\).

Hence, both the direct proof and the proof by induction establish that every cycle graph \(C_n\) has exactly n edges.

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Answer:

(x, y) =(-1, - 1)

Step-by-step explanation:

-Substitute the value of x

-solve the equation

-Substitute the value of y

-check the possible solution

-check solution

-simplify

The estimated height of the tree in this question is 17.9 metres which is 30 metres away from the man having 2 m height

The height of man = 2 m

Angle of elevation of the top of the tree =28 deg

Horizontal distance between the man and the tree is 30 m.

we need to calculate the height of the tree.Let us Assume that the height of the tree be x metres. so the vertical height of tree above man's height will be x-2 units.

The height of the tree can be found by using formula

\( \tan(28) =( x - 2) \div 30 \\ 30 \tan(28) = x - 2 \\ x = 2 + 30\tan(28) \\ x = 17.9 \: metres\)

In this problem we have used the trigonometric ratio tany = perpendicular / base

here in this right angle triangle the perpendicular is x-2

while base is 30 metres.

so by putting the values in the above equation we will get the answer.

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Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Answer: B

Step-by-step explanation:

2 1/4 in decimal form: 2.25

-2 1/5 in decimal form: 2.20

B converted into decimals: 2.25, 2.23, -2, -2.20

Answer: x = 55°

Step-by-step explanation:

1) The angl of a straight line is 180°

one angle of the line is given, which is 125°

So, to find the other one we will do 125° + x = 180°

x = 55°

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer: You shouldn't hate trig.

Step-by-step explanation:

SinΘ= opposite/hypotenuse

SinΘ=y/x

Sin(16) = 9/x

x = 9/Sin(16)

x= 32.7 cm

Answer: 3.60

Step-by-step explanation:

18 times 020 is 3.60 so ye thats how much you would save

Answer:

Step-by-step explanation:

(x-60)+(x-20)+(x-40)+130+120+110=720

3X -120 + 360=720

3x +240= 720

3x= 720-240

3x=480

x= 480/3 = 160

x=160

angle F = (x-20)

angle F = 160-20=140

angle F = 140

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

1) B.

2) A. \(\frac{1}{12}\)

Step-by-step explanation:

Answer:

1) B.

2) A.

Step-by-step explanation:

hope it help can i get a brainliest plz

Answer:

A.

Step-by-step explanation:

A. Because the slope must be positive and cross the y axis at y = 2

Answer:

30 units

Step-by-step explanation:

If the w=5 and we know that the length is 2(5)=10

For perimeter, there are two sides.

2(10)+2(5)=30 units

Answer:

2.38 * 5 = 11.9 and 6.10 * 2 12.20 therefore the 2 pound box is the better deal

Step-by-step explanation:

In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

In Illustration 1, the task that is affected by the hyperperiod is neither one. Therefore, option b is the correct answer.

What is Hyperperiod?

Hyperperiod is a recurring sequence of events that occurs when multiple periodic activities or processes converge. It is usually the least frequent amount of time that occurs in periodic activities, which are activities that repeat themselves after a certain amount of time. The hyperperiod is the least common multiple (LCM) of the periods of all the periodic activities in a system.

Therefore, the LCM of 20, 25, and 30 is 300.IllustrationThe following illustration shows the scheduling of three periodic activities using the rate-monotonic scheduling algorithm. The periods of the activities are p1 = 20, p2 = 25, and p3 = 30, respectively.

In this example, the time scale is in units of time slots or ticks. Only the first two hyperperiods are shown in the figure because the schedule repeats after the second hyperperiod. The least common multiple of the periods is 300. The hyperperiod is the time interval in which the activities complete one complete cycle.The activities are scheduled in decreasing order of priority, which is determined by their periods.

The smaller the period, the higher the priority of an activity. It means that activities with shorter periods will execute before activities with longer periods. The execution of the activities is strictly periodic and preemptive. The tasks are allocated on a single processor that executes one activity at a time.Therefore, the task that is affected by the hyperperiod is neither one in Illustration 1.

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