Last​ year, a person wrote 139 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume that it has a Poisson distribution. What is the mean number of checks written per​ day? What is the standard​ deviation? What is the​ variance?

Between 48% and 54% believe that their health is extremely important.

According to the statement

Given that a random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important.

Here

Sample size n =1001

sample proportion p = 0.51

By these values we calculate the Standard error of proportion.

So, Standard error of proportion = 0.0158.

Since sample size is sufficiently large we can take Z critical value for confidence interval

Z critical value for 95% = 1.96

Margin of error = ±1.96*std error

= ±0.0310

confidence interval = 0.51 ±0.0310

= (0.48, 0.54)

So, Between 48% and 54% believe that their health is extremely important.

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The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.

To calculate the probability of getting 4 cards from different suits, we can break it down into steps:

Choose 1 card from any suit (there are 52 possible cards to choose from).

Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).

Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).

Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).

The probability of getting all 4 cards from different suits can be calculated as:

P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267

Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

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Answer:

The answer you're looking for is 1470.

Step-by-step explanation:

The method I used was PEMDAS

Since there was no parenthesis, I simplified the exponents.

2.130 x 10³ - 6.6 x 10² = ?
2.130 x 1000 - 6.6 x 100 = ?

After that, I multiplied all terms next to each other.

2.130 x 1000 - 6.6 x 100 = ?
2130 - 660 = ?

The final step I did was to subtract the two final terms and ended up with 1470 as my final answer.

1470 = ?

I hope this was helpful!

Answer:

12.26 m, north-west

Step-by-step explanation:From the figure the displacement can be calculated by the Pythagorean law. In this the triangle ABC is the right angle triangle with hypotenous h, base 12 m, and height 2.5 m.  Therefore the net displacement is 12.26 m and the displacement we know it is vector quantity and it is the shortest distance between the two points. Therefore the displacement is from point B to A. Then the net displacement is the direction in the north-west direction with a magnitude of 12.26 m.

The correct statement is: 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969.

The r2 value of 0.9846 means that approximately 98.5% of the variability in age can be explained by the linear relationship with yearly income. Since the r2 value is the square of the correlation coefficient, r, we can find r by taking the square root of 0.9846, which gives us approximately 0.969. Therefore, the correct statement is that the correlation coefficient, r, is 0.969.

The other options are incorrect because they either mix up the variables (e.g., stating that the variation in income is explained by age) or introduce information that is not supported by the given r2 value (e.g., stating that the relationship is nonlinear).

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Based on the ratings system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To find the mean rating, the complete code should be trimmed_flavors_df %>% summarize(mean(Rating)).

This code would allow you to see the mean rating of your data by combining the summarize() and mean() functions such that you can display summary statistics.

Because of the "mean()" function, the statistic that will be displayed is the mean rating which in this case would be 3.185933.

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We have shown that |g(x) - g(y)| < 12ε whenever |x - y| < δ. Since ε was arbitrary, this shows that g(x) is uniformly continuous on (0, 1).

A stronger version of continuity known as uniform continuity ensures that functions defined on metric spaces, such as the real numbers, only vary by a small amount when their inputs change by a small amount. Contrary to uniform continuity, continuity merely demands that the function act "locally" around each point. To clarify, this means that for any given point x, there exists a tiny neighbourhood around x such that the function behaves properly inside that neighbourhood.

For the function g(x) to be continuous we need to have any ε > 0, and  δ > 0 such that if |x - y| < δ, then |g(x) - g(y)| < ε for all x, y in (0, 1).

Now, g(x) is bounded as the parent function f(x) is bounded.

Suppose, (0, 1) such that  |x - y| < δ.

Thus, without generality we have:

|g(x) - g(y)| = |x(1-x)f(x) - y(1-y)f(y)|

= |x(1-x)(f(x) - f(y)) + y(f(y) - f(x)) + xy(f(x) - f(y))|

≤ x(1-x)|f(x) - f(y)| + y|f(y) - f(x)| + xy|f(x) - f(y)|

< x(1-x)4ε + y4ε + xy4ε (by the choice of δ)

= 4ε(x(1-x) + y + xy)

< 4ε(x + y + xy)

≤ 4ε(1 + 1 + 1) = 12ε

Hence, we have shown that |g(x) - g(y)| < 12ε whenever |x - y| < δ. Since ε was arbitrary, this shows that g(x) is uniformly continuous on (0, 1).

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On solving the provided question,  of limit we have the following answer \(\lim_{x \to \3} 3 f(x) = \infty} \lim_{x \to \infty} f(x) =1 f(0) = 4/3 f(-5) = 0\)

A limit is a value to which an expression converges in mathematics when one or more variables get closer to a certain value. Analysis and analysis depend on boundaries. As x gets closer to 0, think about the expression's limit, 2x + 3.

Make y = f(x) a function of x. The values of the function that are extremely near to a can be taken into consideration if at some time x = a f(x) adopts an indeterminate form. The bound of f(x) at x = an is stated to be the unique number that results if these values tend to be some unique number when x tends to a.

\(\lim_{x \to \3} 3 f(x) = -\infty} \lim_{x \to \infty} f(x) =1\\ \lim_{x \to \3} 3 f(x) = \infty} \lim_{x \to \infty} f(x) =1\\f(0) = 4/3 f(-5) = 0\)

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Answer:

A

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = \(\frac{opposite}{hypotenuse}\) = \(\frac{26}{29}\) , then

? = \(sin^{-1}\) (\(\frac{26}{29}\) ) ≈ 64° ( to the nearest degree ) → A

Answer:

A

Step-by-step explanation:

\(Sin X = \dfrac{Opposite}{hypotenuse}\\\\Sin \ X =\dfrac{26}{29}\\\\X = Sin^{-1} \ (0.8965)\\\\x = 63.7\)

x = 64

There are 60 peanuts and 24 raisins in the mix. We can use given ratio to set up a system of equations.

To solve this problem, we can start by using the ratio of peanuts to raisins, which is 5:2. This means that for every 5 peanuts, there are 2 raisins. We can use this ratio to set up a system of equations. Let x be the number of peanuts in the mix, and y be the number of raisins in the mix. We know that:

x + y = 84 (the total number of peanuts and raisins is 84)

x/y = 5/2 (the ratio of peanuts to raisins is 5:2)

We can use the second equation to solve for x in terms of y:

x/y = 5/2

x = (5/2)y

We can then substitute this expression for x into the first equation:

x + y = 84

(5/2)y + y = 84

(7/2)y = 84

y = 24

Finally, we can use this value of y to solve for x:

x + y = 84

x + 24 = 84

x = 60

Therefore, there are 60 peanuts and 24 raisins in the mix.

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Complete Question:

A mix of peanuts and raisins contains five peanuts for every two raisins. So if the total number of peanuts and raisins in a mix is 84, calculate the number of peanuts of raisins in the mix.

Step-by-step explanation:

Hope it is helpful to you

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

\(2x = 5 + y \\ y = 2x - 5 \\ when \: x = 0 \\ y = - 5\)

The head circumference of a newborn boy who marks the start of the 75th percentile is approximately 35.38 cm.

To find the head circumference of a newborn boy who marks the start of the 75th percentile, we need to first find the z-score corresponding to the 75th percentile using the standard normal distribution.

The z-score formula is

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

To find the z-score that corresponds to the 75th percentile, we need to look up the z-score associated with a cumulative area of 0.75 under the standard normal distribution curve. This value can be found using a table or calculator and is approximately 0.674.

Now we can use the formula for the z-score to solve for the head circumference of a newborn boy at the 75th percentile

z = (x - μ) / σ

0.674 = (x - 34.5) / 1.3

0.674 × 1.3 = x - 34.5

0.8762 + 34.5 = x

x = 35.3762

x ≈ 35.38 cm

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Answer:

hahahhahah yes hahahhaa

Step-by-step explanation:

nope

We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.

A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.

If the angles are not 90°, then the shape is a rhombus and not a square.

A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.

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Answer:

can you send a more clear photo its quite blurry

Answer:

x = 84/5 = 16.8

Step-by-step explanation:

The angle bisector theorem said that

21/15 = x/12

==> 7/5 = x/12

==> x = 84/5

Answer:

I speak englush

Step-by-step explanation:

I speak English

Answer:

I think it b

Step-by-step explanation:

I had to ADD 4.2+3

Answer:

500cm^3

Step-by-step explanation:

Can be divided intI a square and cuboid

Volume of square= Length^4

Volume= 5^3

V=125cm^3

Volume of cuboid= L× B × H

Volume= 15× 5× 5

Volume=375cm^3

375+125= 500

Answer:

Step-by-step explanation:

Sam needs to study approximately 4.6 hours per week to earn a 4.0 GPA. The answer is (d) 4.6 hours.

We know that Sam wants to earn a 4.0 GPA, and his class attendance hours are fixed at 4. Therefore, we can solve for the number of hours he needs to spend studying to achieve this goal by setting the equation equal to 4.0 and solving for the hours spent studying:

4.0 = (0.50 x hours spent studying) + (0.25 x 4) + (0.25 x 2.75)

4.0 = (0.50 x hours spent studying) + 1 + 0.6875

2.3125 = 0.50 x hours spent studying

hours spent studying = 4.625

The correct option is (d) 4.6 hours.

The complete question is:

Sam wants to improve his GPA. to earn a 4.0 this semester. His prior GPA was a 2.75. Imagine that there is an equation that says his new GPA could be calculated based on the number of hours he spends studying, his class attendance, and his prior GPA. Written as an equation, it is Grade = (0.50 x hours spent studying) + (0.25 x class attendance hours) + (0.25 x prior GPA). Sam plans to attend class for 4 out of 4 hours each week. Use the equation to determine approximately how many hours per week Sam needs to study to earn a 4.0.

Select one:

a. 2.3 hours

b. 4.0 hours

c. 1.7 hours

d. 4.6 hours

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Answer:

look at attached image!

Step-by-step explanation:

Answer:

36 ft^2

Step-by-step explanation:

Perimeter = 4 + 4 + 2 +2 = 12 feet

  12 feet x 3 feet high = 36 ft^2