44​% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Answer: 113.1 cm

Step-by-step explanation:

The value of 408^5 is approximately 273,539,283,056,896. This is a large number that can be accurately calculated using a calculator or computer program.

To work out the value of 408^5, we need to perform the exponentiation calculation. In this case, 408 is the base, and 5 is the exponent.

Calculating large exponentiations like this can be time-consuming and prone to error if done manually. However, with the help of a calculator or computer, we can easily find the result.

Using a calculator or computer program, we can calculate 408^5 and obtain the value. The result is a very large number:

408^5 ≈ 273,539,283,056,896

Therefore, the value of 408^5 is approximately 273,539,283,056,896.

In decimal notation, the value is written as:

273,539,283,056,896

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The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

Here, we have,

The given system of equations is expressed as

y = 2x²- - - - - - - - - - - - - - -1

y = - 3x - 1- - - - - - - - - -- - - -2

We would apply the method of substitution by substituting equation 1 into equation 2. It becomes

2x² = - 3x - 1

2x² + 3x + 1 = 0

We would find two numbers such that their sum or difference is 3x and their product is 2x².

The two numbers are 2x and x. Therefore,

2x² + 2x + x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

x = - 1/2 or x = - 1

Substituting x = - 1/2 into equation 1, it becomes

y = 2(-1/2)² = 1/2

Substituting x = - 1 into equation 1, it becomes

y = 2(-1)² = 2

Hence, The solutions are : solution of the following system of equations are:

(- 1/2, 1/2)

(- 1, 2)

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Let's review the information given to us to answer the exercise correctly:

Amount in Melissa's prepaid card = $ 30

Price per minute of long distance calls = $ 0.21

Balance of Melissa's prepaid card = $ 21.81

Step 1: Write the equation to find the number of minutes Melissa used on her long distance call, as follows:

Let x to represent the number of of minutes Melissa used on her long distance call

Amount of prepaid card - Number of minutes Melissa talked = Balance of the prepaid card

Replacing with the values we know, we have:

30 - 0.21x = 21.81

Step 2: Solve for x

-0.21x = 21.81 - 30

-.021x = - 8.19

Dividing by -0.21 at both sides:

-0.21x/-0.21 = -8.19/-0.21

x = 39

Step 3: Interpret the result for x

Melissa used her phone card for 39 minutes

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

1) P=49

A=187

2)P=59

A=221

3)P=32

A=96

4)P=132

A=660

5)P=42

A=130

6)P=34

A=24

Step-by-step explanation:

area of a triangle is bh/2

perimeter is s1+s2+hypotenuse (add all sides)

side note: number 6, i don't know if that is right. It makes no sense.

side note: I don't know if you wanted perimeter and area for all triangles included triangles inside triangles or just the big triangles so... If I got it wrong sorry. I just did perimeter and angle for the big triangles.

Answer: 1.4 pi, and pi/180

Step-by-step explanation:

b)

this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:

so 1.4pi is the reference angle

c)

pi/180 is already in the first quadrant. so pi/180 would be the reference angle.

Check the picture below.

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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Answer:

69

Step-by-step explanation:

just plug in 5 for all the x in the equation and mulitply

Answer:

jejeiriiririrurur7urur

Answer:

x=20

Step-by-step explanation:

The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:

y= -1/23

Step-by-step explanation:

The equation y(5)-4y(4)+4y(3)=1 can be solved thus:

Work on brackets first:

5y-16y+12y=1

Add up y values

5y-28y=1

Divide both sides of equation

-23y=1

y=1/-23

Therefore the value of y is -1/23

Here, we must use one sample z test for the first question.

Since the population standard deviation is known in this instance. According to the new protein powder firm, it takes an average of 7 days to add 10% more muscle, with a population standard variation of 5.5 days.

Here, keep in mind that the t test should be used if the population standard deviations are unknown and the z test should be used if the population standard deviations are known.

The second question requires that we test the hypothesis to determine whether the MoCA test differs between the days before and after several exposures to a new tool.

Here, a z-test with two samples was utilized. Once the hypothesis has been stated, the z Statistic

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Order the numbers smallest to largest and go to the middle, the middle number is your answer :)

Step-by-step explanation:

51 ,54 , 60 ,66 ,68 ,70 ,75 ,80

The answer is 67.

Hope this answer will help you.

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

b

Step-by-step explanation:

bc when you add the last 2 numbers (on the bottom) you get 8568 but then u have to add find the decimal places which would be 2 so it is b, 85.68

In a line When the line is parallel to the x-axis, the slope is zero. The first set of coordinates' slope will be 0.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

1. For the first slope, the given coordinates are;

(-3,2), (-1,2), (1,2) and (3,2).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (2-2) / (3+3) = 0

Thus, the slope of the line is 0.

2. For the second slope, the given coordinates are;

(-3,3), (-1,1), (1,-1) and (3,-3).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-3-3) / (3+3) = -1

Thus, the slope of the line is -1.

3. For the third slope, the given coordinates are

(-5,-5), (0,0) and (5,5).

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (5+5) / (5+5) = 1

Thus, the slope of the line is 1.

4. For the fourth slope, the given coordinates are

(-2,5), (-2,0) and (-2,5)

Now, if we take the first and the last point to calculate the slope of the line, we will get,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-2+2) / (5-5) = ∞

Thus, the slope of the line is undefined.

Therefore, the slope of the first pair of coordinates will have no slope or zero slopes.

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Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

Answer:

115 degrees (vertically opposite angles are equal)

Step-by-step explanation:

Answer:

The answer is (f.g)(x) = 12x^2 - 9.

Step-by-step explanation:

To find (f.g)(x), we need to apply the composition of functions formula, which is:

(f.g)(x) = f(g(x))

First, we need to find g(x):

g(x) = 3x^2

Now, we need to plug g(x) into f(x) in place of x:

f(g(x)) = 4(g(x)) - 9

= 4(3x^2) - 9

= 12x^2 - 9

Therefore, (f.g)(x) = 12x^2 - 9.

Hope this helps, I'm sorry if it doesn't! If you need more help, ask me! :]

Answer:

$4,140.00

Step-by-step explanation:

Interest = principle x rate x time

I = 3600 x .03 x 5

I = 540

Add the interest to what is already in the account

540 + 3600

4140