Is this correct? If not
please tell me the answer!

The probability of randomly drawing a participant with a score of 34 or less is 0.2088 or approximately 20.88%.

The probability of randomly drawing a participant with a score of 34 or less from a normal distribution with a mean of 37 and a standard deviation of 3.7 can be calculated as follows:

First, we must convert the score of 34 or less to a z-score:z = (X - μ) / σ = (34 - 37) / 3.7 = -0.81. The probability of obtaining a score of 34 or less can be determined using the standard normal distribution table or a calculator that has the capability to compute probabilities of the standard normal distribution.Using the standard normal distribution table, the area to the left of -0.81 is 0.2088. Therefore, the probability of randomly drawing a participant with a score of 34 or less is 0.2088 or approximately 20.88%.

The standard deviation (SD) is a measure of the degree of variability or deviation of a distribution's scores from the mean or average value of the distribution. The standard deviation is expressed in the same units as the original distribution's scores, whether they are income, test scores, or some other measure of performance. It can be considered a statistic that quantifies the variability of data values, and the deviation is the amount by which a value differs from the mean or average value.

The probability of obtaining a specific score or range of scores from a distribution can be computed using the mean and standard deviation of that distribution by converting the score(s) to a z-score(s) and looking up the appropriate area on a standard normal distribution table or using a calculator that has the capability to compute probabilities of the standard normal distribution.

To know more about Standard deviation click here :

https://brainly.com/question/23907081

#SPJ11

The standard potential, E°, for the reaction X(s) + Y^2+(aq) ⇌ X^2+(aq) + Y(s) is -0.025 V.

he standard potential, E°, can be calculated using the Nernst equation:

E° = (RT/nF) * ln(K)

Where:

E° is the standard potential

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin (298 K)

n is the number of moles of electrons transferred in the balanced equation (in this case, 2)

F is the Faraday constant (96485 C/mol)

K is the equilibrium constant (5.59 x 10^-3)

Substituting the values into the equation:

E° = (8.314 * 298)/(2 * 96485) * ln(5.59 x 10^-3)

E° = -0.025 V

Therefore, the standard potential, E°, for the given reaction is -0.025 V.

For more questions like Reaction click the link below:

https://brainly.com/question/30086875

#SPJ11

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

For similar questions in volume

https://brainly.com/question/27710307

#SPJ8

Answer:

Step-by-step explanation:

98°,100°

A measure of relative fit for a simple regression line is called the r² or coefficient of determination.

A regression line, or line of best fit, is a straight line used to model the relationship between two variables in a data set. It is drawn through the data points to minimize the distance between the line and the points, representing the best fit. The line's equation is y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept. The slope represents the rate of change of y with respect to x, and the y-intercept represents the value of y when x is equal to 0. The line is often used to predict the dependent variable based on the independent variable, and the accuracy of the predictions depends on how well the line fits the data.

The coefficient of determination, also known as r², is a statistical measure used to determine the relative fit of a simple regression line. This measure represents the proportion of variance in the dependent variable that can be predicted by the independent variable. The calculation involves squaring the correlation coefficient (r) between the two variables. The resulting value of r² ranges from 0 to 1, where 0 indicates that the independent variable has no explanatory power over the dependent variable, while 1 implies that the independent variable explains all the variability in the dependent variable.

To know more about regression line visit:

brainly.com/question/29753986

#SPJ1

Answer:

what do you want to know?

Step-by-step explanation:

The rectangle with a perimeter of 100 inches that has maximum area has dimensions of 25 inches by 25 inches, resulting in a maximum area of 625 square inches.

This is achieved by dividing the perimeter equally into four sides, creating a square shape. To find the dimensions of the rectangle with maximum area, we consider the perimeter of the rectangle, which is given as 100 inches. Let's assume the length of the rectangle is L inches, and the width is W inches. The perimeter of a rectangle is given by the equation P = 2L + 2W. Since we are given that the perimeter is 100 inches, we have 2L + 2W = 100. Simplifying this equation, we get L + W = 50. To find the dimensions that maximize the area, we need to find the values of L and W that satisfy this equation and result in the largest possible area. One way to maximize the area is by making the rectangle a square, where all sides are equal. In this case, L = W. Substituting this into the equation L + W = 50, we get 2L = 50, which gives L = 25. Therefore, the dimensions of the rectangle with maximum area are 25 inches by 25 inches. The area of this rectangle is calculated by multiplying the length and width, giving us 25 * 25 = 625 square inches. Hence, the maximum area for a rectangle with a perimeter of 100 inches is 625 square inches.

learn more about dimensions here: brainly.com/question/31106945

#SPJ11

The required height of the sailboat is 24 feet.

Given that,

A sailboat casts a shadow of 4 yards.

Height of buoy = 2 feet

To find the height of the sailboat,

we can set up a proportion,

⇒ (sailboat height) / 4 yards = 2 feet / 1 foot

Now convert 4 yards to feet, since the height of the buoy was given in feet,

⇒ 4 yards = 12 feet

Now put the values and solve for the sailboat height,

⇒ (sailboat height) / 12 feet = 2 feet / 1 foot

⇒ sailboat height = 24 feet

Therefore, the height of the sailboat is 24 feet.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ4

The cost to you of attending the game instead of going to work is 85$

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating how much will cost attending the game:

Total cost = (time of the game*Hours paid for work) + Transportation cost

Total cost = (12*5) + 25

Total cost = 85$

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

The sample of 25 people interviewed by the sportswriter is not a Random sample. The correct answer is Option C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.  

In statistics, sampling is the process of selecting a subset of individuals or units from a larger population to estimate or infer information about the population.

A random sample is a subset of individuals or units from a larger population that is selected in a way that every member of the population has an equal chance of being selected. In other words, a random sample is unbiased and represents the population as a whole.

In the given scenario, the sportswriter interviews the first 25 people who enter the stadium before a game in Columbus, Ohio to determine how strongly Columbus residents support building a new stadium for the local minor league baseball team.

Now, the question is whether this sample is a random sample or not.

The answer is "No, because not all residents of Columbus, Ohio have an equal chance of being selected," which is option C.

The reason is that the sportswriter only interviews the first 25 people who enter the stadium before the game. This means that the sample is not selected randomly from the entire population of Columbus residents, but only from the people who happened to be at the stadium at that particular time.

Moreover, people who attend minor league baseball games may not be representative of the entire population of Columbus residents. For example, people who attend baseball games may be more likely to support building a new stadium than those who do not attend such games.

Therefore, the sample of 25 people interviewed by the sportswriter is not a random sample and may not be representative of the entire population of Columbus, Ohio. The results of the survey based on this sample may not accurately reflect the opinions of all Columbus residents.

To know more about Random Sample here

https://brainly.com/question/12719654

#SPJ4

Complete Question

A sportswriter wants to know how strongly Columbus, Ohio residents support building a new stadium for the local minor league baseball team. She stands outside the stadium before a game and interviews the first 25 people who enter the stadium. Is this a random sample?

A. Yes, because it gives very accurate results.

B. Yes, because all fans had a chance to be asked.

C. No, because not all residents of Columbus, Ohio have an equal chance of being selected.

D. No, because the sample size is not right.

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

Answer:

Step-by-step explanation:

y=a*b^x

a=$2,000

This is the amount that the homeowner borrowed from the lender

b=This would be represented as 1.04 in decimal form

The reason why it is 1.04 is that the 1 aka 100% counts as 2,000 which is the whole thing as well as 0.04 or 4% percent of the total amount($2000)

x= You would leave this as x because they did not give a value and the equation is written so that it could be used to solve the amount of money owed after 'x' years or a certain number of years

Therefore the equation would be y=2000*(1.04)^x

Answer: 60

Step-by-step explanation:

The LCM of 6, 12 and 15 is 60

the LCM of 6, 12 and 15 is 60

The divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

To find the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k, you need to take the divergence operator (∇ · F).

The divergence of a vector field in Cartesian coordinates is given by the following formula:

∇ · F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z),

where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.

In this case, we have:

Fx = (5x^2 + 7 - sin(xz)),

Fy = 0, and

Fz = (5x^2 + 7 - sin(xz)).

Taking the partial derivatives, we get:

∂Fx/∂x = 10x - zcos(xz),

∂Fy/∂y = 0, and

∂Fz/∂z = 10x - zcos(xz).

Now, substituting these derivatives into the divergence formula, we have:

∇ · F = (10x - zcos(xz)) + 0 + (10x - zcos(xz)).

Simplifying further, we get:

∇ · F = 20x - 2zcos(xz).

Therefore, the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

Learn more about divergence at https://brainly.com/question/32669520

#SPJ11

In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

Learn more about number here:

https://brainly.com/question/3589540

#SPJ11

Answer: just figure out how many 8s are in 36 then multiply that by 66 :):)

Step-by-step explanation:

Answer:

Ohhk mate

kindly let us know what help u need

Answer:

ok? so what the question?

Step-by-step explanation:

The points with integer coordinates in this rectangular region will be above 50.

You must use graph paper and draw the rectangle. You must draw the picture in order to solve the problem. It is not easy to visualize the rectangle, the coordinates and count the points inside it all at the same time without a picture to help you. You must draw it.


Once you draw it, the vertices are (5,4), (5,-4), (-5,-4) and (-5,4) in the clockwise directions starting from the upper left corner.

Since we are interested in points that are strictly inside the rectangle -4 < y < 4 and -5 < x < 5;
That is y = -3,-2,-1,0,1,2,3 and x = -4,-3,-2,-1,0,1,2,3,4


The points with integer coordinates that are strictly inside the rectangle are then:



(-4,3)   (-3,3),   (-2,3),   (-1,3),   (0,3),   (1,3),   (2,3),   (3,3),  (4,3)
(-4,2)   (-3,2),   (-2,2),   (-1,2),   (0,2),   (1,2),   (2,2),   (3,2),  (4,2)
(-4,1)   (-3,1),   (-2,1),    (-1,1),  (0,1),   (1,1),    (2,1),  (3,1),  (4,1)
(-4,0)   (-3,0),   (-2,0),    (-1,0)   (0,0),   (1,0),    (2,0),   (3,0),  (4,0)
(-4,-1)  (-3,-1),  (-2,-1),  (-1,-1), (0,-1),  (1,-1),  (2,-1),  (3,-1), (4,-1)
(-4,-2) (-3,-2),   (-2,-2), (-1,-2),  (0,-2),  (1,-2),  (2,-2),  (3,-2), (4,-2)
(-4,-3) (-3,-3),   (-2,-3), (-1,-3),  (0,-3),  (1,-3),   (2,-3), (3,-3), (4,-3)

So, The points with integer coordinates in this rectangular region will be above 50.

To learn more about coordinates, visit;

brainly.com/question/17154394

#SPJ4

The points with integer coordinates in this rectangular region will be above 50.

You must use graph paper and draw the rectangle. You must draw the picture in order to solve the problem. It is not easy to visualize the rectangle, the coordinates and count the points inside it all at the same time without a picture to help you. You must draw it.

Once you draw it, the vertices are (5,4), (5,-4), (-5,-4) and (-5,4) in the clockwise directions starting from the upper left corner.Since we are interested in points that are strictly inside the rectangle -4 < y < 4 and -5 < x < 5;

That is y = -3,-2,-1,0,1,2,3 and x = -4,-3,-2,-1,0,1,2,3,4

The points with integer coordinates that are strictly inside the rectangle are then:

(-4,3)   (-3,3),   (-2,3),   (-1,3),   (0,3),   (1,3),   (2,3),   (3,3),  (4,3)

(-4,2)   (-3,2),   (-2,2),   (-1,2),   (0,2),   (1,2),   (2,2),   (3,2),  (4,2)

(-4,1)   (-3,1),   (-2,1),    (-1,1),  (0,1),   (1,1),    (2,1),  (3,1),  (4,1)

(-4,0)   (-3,0),   (-2,0),    (-1,0)   (0,0),   (1,0),    (2,0),   (3,0),  (4,0)

(-4,-1)  (-3,-1),  (-2,-1),  (-1,-1), (0,-1),  (1,-1),  (2,-1),  (3,-1), (4,-1)

(-4,-2) (-3,-2),   (-2,-2), (-1,-2),  (0,-2),  (1,-2),  (2,-2),  (3,-2), (4,-2)

(-4,-3) (-3,-3),   (-2,-3), (-1,-3),  (0,-3),  (1,-3),   (2,-3), (3,-3), (4,-3)

So, The points with integer coordinates in this rectangular region will be above 50.

To learn more about coordinates visit;

brainly.com/question/15397697

#SPJ4

Step-by-step explanation:

tae tae tae tae tae tae tae tae

Answer:

x= -11

Step-by-step explanation:

(x+3)/2 = -4

multiply both sides by 2

x+3 = -8

move 3 to other side through subtraction

x = -11

There are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

To find out how many of the desserts with yogurt also include fruit, we need to use the concept of intersection in set theory. We can create two sets: one for desserts with yogurt and another for desserts with fruit.

The set of desserts with yogurt has 8 elements, and the set of desserts with fruit has 7 elements. We can represent these sets as follows:

Y = {yogurt desserts} = {1, 2, 3, 4, 5, 6, 7, 8}
F = {fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

Now we need to find the intersection of these sets, i.e., the desserts that have both yogurt and fruit. To do this, we can count the number of elements in the set Y ∩ F:

Y ∩ F = {yogurt and fruit desserts} = {1, 2, 3, 4, 5, 6, 7}

So there are 7 desserts that have both yogurt and fruit. Therefore, the answer to your question is 7.

Visit here to learn more about  intersection :  https://brainly.com/question/14217061
#SPJ11

The volume of parallelepiped with adjacent edges AB, AC, and AD is 44 cubic units.

The volume of parallelepiped with adjacent edges AB, AC, and AD is given by the scalar triple product of the vectors AB, AC, and AD:

V = |(AB x AC) ⋅ AD|

where x denotes the cross product and ⋅ denotes the dot product.

First, we need to find the vectors AB, AC, and AD:

AB = B - A = (-1, 2, 5) - (3, 0, 1) = (-4, 2, 4)

AC = C - A = (5, 1, -1) - (3, 0, 1) = (2, 1, -2)

AD = D - A = (0, 4, 2) - (3, 0, 1) = (-3, 4, 1)

Next, we need to find the cross product AB x AC:

AB x AC = (-4, 2, 4) x (2, 1, -2)

= (-10, 16, 10)

Finally, we can calculate the volume of the parallelepiped:

V = |(-10, 16, 10) ⋅ (-3, 4, 1)|

= |-30 + 64 + 10|

= 44

Therefore, the volume of the parallelepiped with adjacent edges AB, AC, and AD is 44 cubic units.

To know more about volume of parallelepiped:

https://brainly.com/question/29140066

#SPJ4

Answer:

X=7

Step-by-step explanation:

4x+8=7x-13

-4x. -4x

8= 3x -13

+13. +13

21=3x

21÷3=7

x=7

Answer:

The answer is x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = \(\frac{1}{3}\) x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = \(\frac{1}{3}\) x + 2 into (2)

- x + 3(\(\frac{1}{3}\) x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

The given system of equations has infinitely many solutions.

We have the following system of equations -

y = 1/3x + 2

–x + 3y = 6

We have -

- x + 3y = 6

x = 3y - 6

Then -

y = 1/3(3y - 6) + 2

y = y - 2 + 2

y = y

Therefore, the given system of equations has infinitely many solutions.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

For more question on cosine visit:

https://brainly.com/question/30766161

#SPJ8

Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

The maximum value of the function f ( x ) = 2

The minimum value of function f ( x ) = - ( 9/8 )

The difference between the maximum and minimum values of f ( x ) = 25/8

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as f ( x )

The value of f ( x ) =  cos (2x) + cos x   be equation (1)

On simplifying the equation , we get

To maximize f ( x ) = cos ( 2x ) + cos x , differentiate it with respect to x

So ,

f' ( x ) = -2 sins ( 2x ) - sinx

And , For the function to achieve a minimum value , f′(x) should be 0

So , Substituting the values in the equation , we get

-2 sins ( 2x ) - sinx = 0

Adding sinx on both sides of the equation , we get

-2 sins ( 2x ) = sin x

-2 ( 2 sin x cos x ) = sin x

Divide by -4 on both sides of the equation , we get

sin x cos x = sin x / 4

Divide by sin x on both sides of the equation , we get

cos x = ( -1/4 )

Hence minimum value is f ( x ) = 2 x ( 1/16 ) - ( 1/4 ) - 1

The minimum value of f ( x )= - 9/8

And , the function is maximum at cosx = 1

So , f ( x ) = 2 x 1 - 1 + 1 = 2

The maximum value of f ( x )= 2

So , the difference between the maximum and minimum values of f ( x ) =

Maximum value - Minimum value = ( 2 - ( -9 / 8 ) )

Maximum value - Minimum value = ( 16 + 9 ) / 8

Maximum value - Minimum value = 25/8

Hence , the difference between the maximum and minimum values of function  f ( x ) is = 25/8

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

\(4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you\)

Answer:

2 ez cuh the answer is

20 x

Step-by-step explanation:

please give me brainlist I just need 3 more

Answer:

20

Step-by-step explanation:

Ok so,

2^2 = 4

*i'm just rewriting the expression*

so now it would be 5x4 which would be 20.

hope this helps! have a good day! pls mark brainliest!!!