At a carnival game, it cost Noah $12 to toss 30 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

The probability of getting at least 2 tails in 4 coin tosses is 11/16 or approximately 0.6875.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

To determine P(at least 2 tails), we need to add up the probabilities of all the outcomes in the sample space that have at least 2 tails.

Looking at the tree diagram, we can see that there are 11 outcomes that have at least 2 tails:

TTTT TTTH TTHT TTHH THTT THHT THTH HTTT HTTH HTHT HHTT

The probability of each outcome can be found by multiplying the probabilities along the branches that lead to that outcome. Since the coin is fair, the probability of getting heads or tails on any given toss is 1/2.

So for example, the probability of the outcome TTHH is (1/2) x (1/2) x (1/2) x (1/2) = 1/16.

We can find the probability of getting at least 2 tails by adding up the probabilities of the 11 outcomes listed above:

P(at least 2 tails) = \((1/2)^4\) + 4 x \((1/2)^3\) x (1/2) + 6 x \((1/2)^2\) x \((1/2)^2\)

P(at least 2 tails) = 1/16 + 4/16 + 6/16 = 11/16

Therefore, the probability of getting at least 2 tails in 4 coin tosses is 11/16 or approximately 0.6875.

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Answer:

225 students

Step-by-step explanation:

600 students, and \(\frac{3}{8}\) of students walk to school

\(600 * \frac{3}{8} = 225\)

225 students can be expected to walk to school

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

18cm

Step-by-step explanation:

The ratio is given by: 7.5/2.5=3

DE = 6 × 3 = 18 cm

or

DC/CB = x/AB

7.5/2.5 = x/6

3=x/6

x=6×3=18 cm

Answer:

  x = 43

Step-by-step explanation:

The sum of angle measures in a triangle is 180°. This lets us write an equation for x:

  x° +95° +42° = 180°

  x° = 180° -137° = 43° . . . . . subtract 137° and simplify

  x = 43

Answer: I need help with this as fast as someone can. PLS let me know who to do it

Step-by-step explanation:

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

Total volume of shape is =144cu.cm

By knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:

Cube Volume = Length× Width× Height

Volume equals= a× a× a =a³

where "a" denotes the cube's side or edges' length.

Length of each cube = 2cm

Volume of each cube=a³

=2³

=8cm³

Total number of cubes=18

Total volume of shape=18×8

=144 cu.cm

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Answer:

(x + 4)² + (y + 6)² = 64

Step-by-step explanation:

The standard form of equation of a circle is given as;

(x - a)² + (y - b)² = r²

Where;

a and b are the centre coordinates and r is the radius.

First of all, let's Calculate the midpoint coordinates.

This gives;

((-4 + (-4))/2), (2 + (-14))/2)

This is now (-4, -6)

Distance of radius is;

r = √((-4 - (-4))² + (-6 - 2)²)

r = 8

Equation of circle is now;

(x - (-4))² + (y - (-6))² = 8²

This gives;

(x + 4)² + (y + 6)² = 64

Answer:

X equals 1, and Y equals 2

\(2x = 2 * 1\)

\(3y = 3 * 2\)

\(2 * 1 = 2\)

\(3 * 2 = 6\)

\(6 + 2 = 8\)

________________________________________________________

Now, we go over what we learned.

________________________________________________________

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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Answer:

$225 + $75x ≤ $1500

x ≤ 17

Step-by-step explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500

Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

The equations that could be used to solve for the number of male runners (m) in the race are (m+75)/m = 3 / 2 and 150 + 2m = 3m. The correct options are A and B.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners than male runners.

The ratio is written as,

f/ m = 3 / 2

There are 75 more female runners than male runners.

f = m + 75

The equation can be written as,

f / m = 3 / 2

( m + 75 ) / m = 3 / 2

Or

150 + 2m = 3m

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Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

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Step-by-step explanation:

Each roll has 6 possible outcomes, so two rolls have 36 possible sums.  We can make a table showing what these sums are:

\(\left[\begin{array}{ccccccc}&\textbf{1}&\textbf{2}&\textbf{3}&\textbf{4}&\textbf{5}&\textbf{6}\\\textbf{1}&2&3&4&5&6&7\\\textbf{2}&3&4&5&6&7&8\\\textbf{3}&4&5&6&7&8&9\\\textbf{4}&5&6&7&8&9&10\\\textbf{5}&6&7&8&9&10&11\\\textbf{6}&7&8&9&10&11&12\end{array}\right]\)

Of the 36 sums, 10 are greater than 8, and 18 are odd.

P(A) = 10/36 = 5/18

P(B) = 18/36 = 1/2

Answer:

The numbers:

1, -3, 2, -9, 3, -15, 4, -21,

are not linear.

Step-by-step explanation:

If it was linear:

4, 3, 2, 1, -3, -9, -15, -21

Answer:

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Step-by-step explanation:

3x^2 +2x+4−x=0

3x^2 +x+4=0

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Answer:

c = 12.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

Answer: 20 \(\frac{1}{2}\)

Step-by-step explanation:

First of all, 5 \(\frac{4}{10}\) = 5.4

Remember, 1/10 = 0.1, 2/10 = 0.2, and so on.

This means we can change the equation to 25.92 - 5.4, which gives us 20.52.

This is close to 20.50, which is equivalent to 20 \(\frac{5}{10}\), which is equivalent to 20 \(\frac{1}{2}\).

Answer:

what is the actual question

Step-by-step explanation:

Thats cool that the fictional company have higher probability of getting a profit

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

To show that the angle bisector of an equilateral triangle is perpendicular to the base​, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.  

After getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.

We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.

Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.

Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.

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Answer:

it is 7+7+3+3=20

Step-by-step explanation:

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

\({ \underline{ \mathfrak{ \: answer : }}}\)

\({ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}\)

• To get the average, substitute for x as 99 and amount collected by each member

Using the scale factor we calculate the length of the bridge to be 5.6 meters.

Scaling is a linear transformation that raises or decreases the size of objects by a constant scale factor in all directions.

The length of the bridge on the map is 80 cm .

Now the scale of the map is 1 : 7

Therefore the length of the bridge is 80 × 7 = 560 cm = 5.6 meters.

Hence the length of the bridge is 5.6 meters.

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