Please solve this asap.​

Answer: -0.57

Step-by-step explanation:

z-score: data - mean / standard deviation

25 - 27 / 3.5

= -0.57

Answer:

Step-by-step explanation:r=15yards, h=20yards,Π=3.14, v=?

Vol. Of cylinder=Πr²h

V= 3.14×15²×20

V=3.14×225×20

V= 14130

V=14130.00cm³

Answer:

∠ XZY ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinXZY = \(\frac{opposite}{hypotenuse}\) = \(\frac{XY}{YZ}\) = \(\frac{6}{15}\) , then

∠ XZY = \(sin^{-1}\) (\(\frac{6}{15}\) ) ≈ 23.6° ( to 1 dec. place )

To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).

There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.

There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.

However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.

Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.

So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.

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Answer:

AB:0:2

BC:6:4

CD:9:6

DE:9:15

Step-by-step explanation:

Answer:

colllge math or highchool

Answer:

No, -1 has two outputs

Step-by-step explanation:

Hope this helps!      :3

plz mark as brainliest!

The ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

The solution to the given system of linear equations is the ordered pair (x, y) = (3/5, 1/2). This means that when x is equal to 3/5 and y is equal to 1/2, both equations are satisfied simultaneously.

In the first equation, One-half x minus three-fourths y equals 11/60.

By substituting x = 3/5 and y = 1/2 into this equation, we have (1/2)(3/5) - (3/4)(1/2) = 11/60, which simplifies to 3/10 - 3/8 = 11/60. By further simplifying, we get 24/80 - 30/80 = 11/60, which is true since both sides are equal to 11/60.

Similarly, in the second equation, Two-fifths x plus one-sixth y equals 3/10.

Substituting x = 3/5 and y = 1/2, we have (2/5)(3/5) + (1/6)(1/2) = 3/10, which simplifies to 6/25 + 1/12 = 3/10.

By finding a common denominator and simplifying, we get 144/600 + 50/600 = 180/600, which is also equal to 3/10.

Thus, the ordered pair (x, y) = (3/5, 1/2) satisfies both equations in the given system, making it the solution.

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

In the figure, the ray KM−→− bisects the angle ∠JKL .

The angles ∠JKM and ∠LKM are congruent.

So, m∠JKM=m∠LKM .

Step-by-step explanation:

Answer:

mary should be 29 while her daughter 6.

Product means the number that you get to by multiplying two or more other numbers together. so when u multiply 29 and 6 u get 174.

Answer:

Mary is 29 and her daughter is 6

Step-by-step explanation:

when Mary was 23, her daughter was 0

                  so the product is           23 × 0 = 0

when Mary was 24, her daughter was 1

                                                          23 × 1 = 1

when Mary was 25, her daughter was 2

                                                          25 × 2 = 50

·

·

·

when Mary was 29, her daughter was 6

                                                          29 × 6 = 174

∴ Mary is 29 and her daughter is 6

(im sure there is a way easier method to find this ;-; but this is how i did it)

The correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

A result of zero indicates no relationship at all, therefore, independent variable.

We know that the correlation coefficient is given by the formula,

\(r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}\)

r = correlation coefficient

\(x_{i}\) = values of the x-variable in a sample

\(\bar{x}\) = mean of the values of the x-variable

\(y_{i}\) = values of the y-variable in a sample

\(\bar{y}\) = mean of the values of the y-variable

Calculate the value of \((x_i-\bar{x})(y_i-\bar{y}),\ (x_i-\bar{x})^2,{ \rm and}\ (y_i-\bar{y})^2\) each separately, and then find the sum of them as shown below, therefore, the formula can be written as,

\(r =\dfrac{571.5}{261.5\times 1566.833333}= 0.0014\)

Hence, the correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.

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Answer:

1. positive

2. 2.2

3. 1

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

7/10 of them likes math and there are 240 student in total

240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls

then there are 84 girls that likes  math.

Answer:

There is a school with an area of 5/6 (the school is a rectangle)one side is 1/12 what is the length of the other side.

Step-by-step explanation:

The 10th percentile of pit depths is 780μm. A certain pit with 780 μm deep is at the 10th percentile. The proportion of pits have depths between 800 and 830 μm is 7.33%.

A)

To find the 10th percentile of pit depths, we need to use the z-score table. Where x = μ + zσ, here we are looking for the z-score, for the given 10th percentile.

Using the standard normal distribution table, we get the value of -1.28 which corresponds to the 10th percentile.

Therefore,

x = 818 - 1.28 * 29x = 779.88 = 780μm.

So, 780μm is the 10th percentile of pit depths.

B)

We are given that the mean is 818 μm and standard deviation is 29 μm. A certain pit is 780 μm deep. To find the percentile for this, we need to find the z-score for this given pit.

x = 780 μm, μ = 818 μm, σ = 29 μm

Now, z-score can be found as,

z = (x - μ) / σ = (780 - 818) / 29 = -1.31

We can find the percentile using the standard normal distribution table.

Therefore, the given pit is at the 10th percentile.

C)

We are given that the mean is 818 μm and standard deviation is 29 μm. The proportion of pits with depths between 800 and 830 μm can be calculated as follows:

P(z < (X- x) / σ) - P(z < (830 - 818) / 29) - P(z < (800 - 818) / 29)

P(z < -0.41) - P(z < -0.62) = 0.3409 - 0.2676 = 0.0733

(rounded off to four decimal places)

Therefore, approximately 7.33% of pits have depths between 800 and 830 μm.

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The probabilities of (A). P(X = 2) = 0.3456, (B). P(X > 2) = 0.8554, (C). P(X ≤ 2) = 0.5, and (D). P(3 ≤ X ≤ 5) = 0.2528.

The probability of an event occurring can be calculated using the binomial probability formula:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where:
- n is the number of trials
- x is the number of successes
- p is the probability of success on a single trial

a. P(X = 2) when X ∼ Bin(4,0.6)

P(X = 2) = (4 choose 2) * 0.6^2 * (1-0.6)^(4-2)
P(X = 2) = (6) * 0.36 * 0.16
P(X = 2) = 0.3456

b. P(X > 2) when X ∼ Bin(8, 0.5)

P(X > 2) = 1 - P(X ≤ 2)
P(X > 2) = 1 - [(8 choose 0) * 0.5^0 * (1-0.5)^(8-0) + (8 choose 1) * 0.5^1 * (1-0.5)^(8-1) + (8 choose 2) * 0.5^2 * (1-0.5)^(8-2)]
P(X > 2) = 1 - [0.0039 + 0.0313 + 0.1094]
P(X > 2) = 1 - 0.1446
P(X > 2) = 0.8554

c. P(X ≤ 2) when X ∼ Bin(5, 0.5)

P(X ≤ 2) = (5 choose 0) * 0.5^0 * (1-0.5)^(5-0) + (5 choose 1) * 0.5^1 * (1-0.5)^(5-1) + (5 choose 2) * 0.5^2 * (1-0.5)^(5-2)
P(X ≤ 2) = 0.0313 + 0.1563 + 0.3125
P(X ≤ 2) = 0.5

d. P(3 ≤ X ≤ 5) when X ∼ Bin(6, 0.3)

P(3 ≤ X ≤ 5) = (6 choose 3) * 0.3^3 * (1-0.3)^(6-3) + (6 choose 4) * 0.3^4 * (1-0.3)^(6-4) + (6 choose 5) * 0.3^5 * (1-0.3)^(6-5)
P(3 ≤ X ≤ 5) = 0.1852 + 0.0595 + 0.0081
P(3 ≤ X ≤ 5) = 0.2528

Therefore, the probabilities are as follows:
a. P(X = 2) = 0.3456
b. P(X > 2) = 0.8554
c. P(X ≤ 2) = 0.5
d. P(3 ≤ X ≤ 5) = 0.2528

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Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

The value of x is given as follows:

x = 13.5.

Similar triangles are triangles that share these two features presented as follows:

The proportional relationship for the side lengths is given as follows:

9/x = 7/10.5.

Applying cross multiplication, the value of x is obtained as follows:

7x = 9 x 10.5

x = 9 x 10.5/7

x = 13.5.

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Answer:

5 nickels

Step-by-step explanation:

7 dimes = 0.70 and 1 nickel is 0.05, so each set makes 0.75

3.75 / .75 = 5 sets

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

Step-by-step explanation:

The more powerful the motor is, the greater the ability to do the work (option b).

A more powerful motor has a higher capacity to generate energy and produce output, allowing it to exert more force and perform work more efficiently. With greater power, the motor can overcome resistance or load with ease and accomplish tasks that may be challenging for less powerful motors.

On the other hand, the time interval for doing the work (option a) and the workload (option c) are not directly dependent on the motor's power. These factors are influenced by other variables such as the specific task, operational conditions, and the requirements of the work itself.

While a more powerful motor may complete a task faster due to its efficiency, the duration of the work and the workload are not determined solely by the motor's power.Therefore, option b, "the greater the ability to do the work is," accurately reflects the relationship between motor power and work capability.

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Answer: The grade of the hill = 50%

Step-by-step explanation:

The grade is the slope( expressed as a percent). To evaluate the slope we divide the rise by the run.

Given: A hill on a hiking trail goes up to 69 feet over a distance of 138 feet.

So, rise= 69 feet   , run = 138 feet.

The grade of the hill = \(\dfrac{rise}{run}\times100\)

\(=\dfrac{69}{138}\times100=50\%\)

Hence, the grade of the hill = 50%

Answer: 0

Step-by-step explanation:Let's simplify step-by-step.

4a+4b+4c−4a−4b−4c

=4a+4b+4c+−4a+−4b+−4c

Combine Like Terms:

=4a+4b+4c+−4a+−4b+−4c

=(4a+−4a)+(4b+−4b)+(4c+−4c)

Answer:

=0

Answer:

hi

Step-by-step explanation:

i think 0

because

\(4a + ( - 4a) = 0\)

\(4b + ( - 4b) = 0\)

\(4c + ( - 4c) = 0\)

have a nice day

The process is wide sense stationary. The process \(X(t)\) has finite second-order statistics because its mean is finite and its autocorrelation function (as determined in part c, if available) would also be finite. the mean of the process \(X(t)\) is \(\frac{1}{2}\).

a) The given random process \(X(t)\) is **continuous**. This is because it is described by a continuous random variable \(A\) that is uniformly distributed from 0 to 1.

b) The given random process \(X(t)\) is **non-deterministic**. This is because it is determined by the random variable \(A\), which introduces randomness and variability into the process.

c) To find the autocorrelation function of the process, we need more information about the relationship between different instances of the random variable \(A\) at different time points. Without that information, we cannot determine the autocorrelation function.

d) Since the process is defined as \(X(t) = A\) where \(A\) is uniformly distributed from 0 to 1, the mean of the process can be calculated by taking the mean of the random variable \(A\). In this case, the mean of \(A\) is \(\frac{1}{2}\). Therefore, the mean of the process \(X(t)\) is \(\frac{1}{2}\).

e) The given process is **wide sense stationary**. To be considered wide sense stationary, a process must satisfy two conditions: time-invariance and finite second-order statistics.

- Time-invariance: The given process \(X(t) = A\) is time-invariant because the statistical properties of \(X(t)\) are not dependent on the specific time at which it is observed. The distribution of \(A\) remains the same regardless of the time.

- Finite second-order statistics: The process \(X(t)\) has finite second-order statistics because its mean is finite (as determined in part d), and its autocorrelation function (as determined in part c, if available) would also be finite.

Therefore, the process is wide sense stationary.

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Piggy bank will typically offer zero interest rate. So, the correct option is B.

Piggy bank is not a financial product that earns interest. It is simply a container for holding physical currency, and does not involve any formal banking or lending system that would offer an interest rate. On the other hand, a savings bond, basic savings, and certificate of deposit are financial products that typically offer some level of interest.

Zero interest rate means that there is no interest being earned or charged on a financial product. Interest rate is the percentage at which interest is paid by borrowers for the use of money that they borrow from a lender.

Therefore, option B. piggy bank is the best option.

Complete Question

Which of the following will typically offer zero interest rate?

A. Savings bond

B. Piggy bank

C. Basic savings

D. Certificate of deposit

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Answer:

The product of two numbers is 0 - hypotheses

At least one of the numbers must be 0 -conclusion

Step-by-step explanation:

The statement given in the question is a conditional statement because of the if and then factors attached to it. From this conditional statement, a hypothesis and conclusion can be derived. A hypothetical statement unlike a conclusive statement does not have a tone of finality to it. A hypothetical statement is subject to tests to prove its trueness after which a conclusion can be made.

It is indeed true that one of the numbers must be zero if the product of two numbers is zero.

Example: a * 0 =0

110 * 0 = 0

Answer:

-11 is your answer.

Step-by-step explanation:

Total measurements of interior angles in a triangle = 180°.

Note that the red square located on the bottom right angle signifies that it is a right angle, with a measurement of 90°. Set the equation:

Total measurement = (90) + (70) + (x + 31)

180 = x + (90 + 70 + 31)

180 = x + 191

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 191 from both sides:

180 (-191) = x + 191 (-191)

180 - 191 = x

x = - 11

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