Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at most once?

A. 0.06
B. 0.25
C. 0.31
D. 0.69

The distance of the straight line is √17 miles and the angle formed is

75.96°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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Answer: x-coordinate: 4

y-coordinate: -2

Step-by-step explanation:

The given system of linear equations:

y= x- 6   ..(i)

5x+3y = 14   ...(ii)

Substitute value of y in (ii), we get

\(5x +3(x-6)=14\\\\\Rightarrow\ 5x+3x-18=14\\\\\Rightarrow \ 8x=14+18\\\\\Rightarrow\ 8x=32\\\\\Rightarrow\ x=4\)

Put value of x in (i) , we get

\(y=4-6=-2\)

Hence, Required solution:  

x-coordinate: 4

y-coordinate: -2

Answer:

(3, 4.5)

Step-by-step explanation:

x = \(\frac{0 + 6}{2}\) = 3

y = \(\frac{3+6}{2}\) = 4.5

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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To write \(\dfrac{11}{15}\) as a decimal, you need to divide the numerator by the denominator.

The numerator of the fraction is 11.

The denominator of the fraction is 15.

\(11\div15\)

\(=\fbox{0.73}\)

Answer:

options please

Step-by-step explanation:

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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Answer:

26

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

I just took the test :3

Answer: B. 3/8

Step-by-step explanation:

3/10n=-4/5

We move all terms to the left:

3/10n-(-4/5)=0

Domain of the equation: 3/10=8

n=3

n!=8

n=R

We get rid of parentheses

3/10n+4/5= 3/8

Answer:

n= (4/5)(3/10)

n=4/5 * 10/3

n=8/3

n=2 2/3

Step-by-step explanation:

Given statement solution is :-

1) Gather your electricity bills from the period before the summer break.

2) Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

3) Research or locate the power consumption information for each appliance.

4) Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

5) After the summer break, collect your electricity bill for the corresponding period.

6) Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

To conduct a comparative study of consecutive electric bills and analyze the impact of a reduction plan, you can follow the steps below:

Examine your electricity bills of pre-summer break:

Gather your electricity bills from the period before the summer break.

Look for details such as total energy consumption (in kilowatt-hours or kWh), billing period, and the cost per unit of electricity.

List the various electrical appliances used in your home:

Create a comprehensive list of all the electrical appliances used in your home.

Include major appliances like air conditioners, refrigerators, washing machines, and smaller devices like televisions, computers, and lights.

Find out the power consumption and duration for each device in use:

Research or locate the power consumption information for each appliance.

This information is typically provided on the appliance itself or in the user manual.

Note down the power rating of each device in watts (W) or kilowatts (kW).

Estimate the average duration each device is used daily in hours (e.g., 2 hours for a television, 8 hours for a refrigerator).

Calculate the estimated electricity consumption and cost:

Multiply the power rating (in kW) of each device by its average daily usage (in hours) to find the daily energy consumption (in kWh).

Multiply the daily energy consumption by the number of days in the billing period to get the total energy consumption for that period.

Multiply the total energy consumption by the cost per unit of electricity to calculate the estimated cost for each appliance.

Sum up the estimated costs for all appliances to get the total estimated electricity bill.

Make an energy reduction plan and determine implementation:

Identify areas where energy consumption can be reduced, such as:

Turning off lights when not in use.

Setting air conditioner temperatures at an optimal level.

Using energy-efficient appliances.

Unplugging devices when not in use.

Determine the feasibility of implementing these energy reduction measures in your home.

Re-examine your electricity bill of post-summer break:

After the summer break, collect your electricity bill for the corresponding period.

Calculate the actual energy consumption and cost using the same method as in step 4.

Compare the actual post-summer break bill with the estimated pre-summer break bill.

Note any changes in energy consumption and cost, and analyze the effectiveness of your energy reduction plan.

Document your reduction plan and changes in the bill:

Write a report summarizing your findings and observations.

Include details about your energy reduction plan, the changes implemented, and the resulting impact on energy consumption and cost.

Provide recommendations for further improvements or adjustments to achieve even greater sustainability.

By following these steps, you can conduct a comparative study of consecutive electric bills, analyze the effectiveness of your energy reduction plan, and track changes in energy consumption and costs.

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Answer:

1.61

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.61

Notice that

Notice that

Then, f(6) < g(6)

Answer:

A

Step-by-step explanation:

Step by step explanation:

_______________________________

Step 1:

\( - 4a + y\)

Write the equation

_______________________________

Step 2:

\( = - 4 \times ( - 5) + 7\)

Insert the values of a ie -5 and y ie 7

_______________________________

Step 3:

\( = + 20 + 7\)

Multiply- 4 with -5 to get 20

_______________________________

Step 4:

\( = 27\)

add 20 with 7 to get 27

_______________________________

⚡Final answer: 27

hope it helped you:)

Answer:

27

Step-by-step explanation:

We are given that a = -5 and y = 7 and we are asked to evaluate the expression -4a + y.

To evaluate the expression, we would plug -5 for a and 7 for y into the expression.

-4a + y = -4(-5) + 7 = 20 + 7 = 27

So -4a + y = 27.

I hope you find my answer and explanation to be helpful. Happy studying. :)

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

It would be 74% out of 100%

Step-by-step explanation:

Answer:

Yes, the correct answer is $6.50..

Step-by-step explanation:

Stacy earns $6.5 per hour.

Multiplication is the process of adding a number up to a given number.

Given that Stacy worked 6 hours each day for 6 days

The total number of hours Stacy worked is 6×6=36 hours

Therefore, Stacy earned $234 for 36 hours

$234 = 36 hours

$234/36 = 1 hour

$6.5 = 1 hour

Hence, Stacy earns $6.5 per hour.

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Answer:

"√ 75 " "6 !/ 3 !"  "√ 16"  click brainliest and thanks<3

Answer:

(-3,-8)

Step-by-step explanation:

MN:Np=3:4   Let m:n=3:4

Use the formula

xN=(xM*n+xP*m)/(m+n)

yN=(yM*n+yP*m)/ (m+n)

xN= ((-12)*4+9*3)/ (4+3)=-3.

yN=((-5)*4+(-12)*3)/(4+3)=-8.

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

SOLUTION:

Step 1: First we plot the graph and show points of answers

Step 2: The point of intersection of the graph with the x-axis shows the solution of the graph.

The graph has two answers.

Final answer: Option (B)

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

The confidence intervals are given as follows:

a) 90%: 41.5 to 44.5.

b) 95%: 41.2 to 44.8.

c) 99%: 40.7 to 45.3.

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The critical values are given as follows:

The parameters are given as follows:

\(\overline{x} = 43, \sigma = 3, n = 11\)

The bounds for the 90% confidence interval are given as follows:

The bounds for the 95% confidence interval are given as follows:

The bounds for the 99% confidence interval are given as follows:

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Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Step-by-step explanation:

________________________________

Step 1:

\((2x + 3)(2x - 4)\)

Write the equation

step 2:

\( = 4 {x}^{2} - 8x + 6x - 12\)

open brackets and multiply (2x+3) with (2x-4)

step 3:

\( = 4 {x}^{2} - 2x - 12\)

subtract -8x and +6x

_______________________________________

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer:

\(\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}\)

Step-by-step explanation:

We are given the two functions:

\(\displaystyle f(x) = \sqrt{x^2 -4} \text{ and } g(x) = 3x-2\)

And we want to find:

\(\displaystyle \frac{d}{dx}\left[f(g(x))\right] \text{ at } x = 3\)

Recall that from the chain rule:

\(\displaystyle \frac{d}{dx}\left[ f(g(x))\right] = f'(g(x)) \cdot g'(x)\)

Hence, find both f'(x) and g'(x).

The derivative of f(x) can be determined using the chain rule:

\(\displaystyle \begin{aligned} f'(x) &= \frac{d}{dx}\left[ \sqrt{x^2-4}\right]\\ \\ & = \frac{1}{2\sqrt{(x^2-4)}}\cdot \frac{d}{dx}\left[x^2-4\right] \\ \\ & = \frac{x}{\sqrt{x^2-4}} \end{aligned}\)

Because g(x) is simply a linear function, its derivative will be the slope of the linear function at any point. That is:

\(\displaystyle g'(x) = 3\)

Hence:

\(\displaystyle \begin{aligned} \frac{d}{dx}\left[f(g(x))\right] & = \frac{(g(x))}{\sqrt{(g(x))^2-4}} \cdot (3) \\ \\ & = \frac{9x-6}{\sqrt{(3x-2)^2-4}} \end{aligned}\)

Then at the point x = 3, the derivative is:

\(\displaystyle \frac{d}{dx}\Big|_{x=3} & = \frac{9(3)-6}{\sqrt{(3(3)-2)^2-4}} = \frac{7\sqrt{5}}{5}\)