(square root X ) +2=6, solve for x

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

"97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

To calculate the scores that are three standard deviations above and below the mean, we use the formula:

Lower limit = Mean - (Standard Deviation * 3)

Upper limit = Mean + (Standard Deviation * 3)

Given:

Mean = 269

Standard Deviation = 33

Using the formula, we can calculate the limits:

Lower limit = 269 - (33 * 3) = 269 - 99 = 170

Upper limit = 269 + (33 * 3) = 269 + 99 = 368

Therefore, the lower limit is 170 and the upper limit is 368.

To calculate the probability that a female student will have a score between these limits, we need to find the area under the normal distribution curve between the lower and upper limits. This can be calculated using a standard normal distribution table or calculator.

Since the distribution is assumed to be normal, approximately 99.72% of the scores will fall within three standard deviations from the mean. Therefore, the probability that a female student will have a score between these limits is approximately 99.72%.

For a score of 302, which is above the mean of 269, we can calculate the percentage of female students with scores below 302:

Percentage = (1 - Probability) * 100

= (1 - 0.9972) * 100

= 0.0028 * 100

= 0.28%

Therefore, approximately 0.28% of the female students have scores below 302.

It's important to note that the value mentioned, "97.72% of the female students have scores above," seems to be a misinterpretation as the correct statement is that approximately 99.72% of the female students have scores between the lower and upper limits

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Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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Answer:

Step-by-step explanation:

the answer is 6847 if anyone solves it

The graph of the line with slope 6 and y-intercept -6 is given below.

What is slope intercept form?

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfils.

y = mx + c

where m is the slope

c is the y-intercept

Given, slope (m) = 6

y-intercept = -6

So, the equation of line become

y = 6x - 6

And, the graph of the given equation is given below.

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Answer:

He will have 12 small shirts and 18 large shirts.

Step-by-step explanation:

How I know this is because to get from 4 to 24 you have to multiply by 6, so I multiplied 6x2 and got 12, and I also multiplied 6x3 and got 18.

The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that a manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered.

The manager plans to order 24 medium shirts.

We need to get from 4 to 24.

So we have to multiply by 6,

so multiplied 6 x 2 = 12,

and multiplied 6 x 3 = 18.

Therefore, The manager plans to order 24 medium shirts. he will have 12 small shirts and 18 large shirts.

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If you run the program and print(c), your result will be: c = 35

A program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.

A program guides the computer system on what the user wants.

Analysis

a = 2 + 6 = 8

b = 7 % 3 = 1

c = a - b  = 7

c = c * 5  = 35

In conclusion, If you run the program and print(c), your result will be: c = 35

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

0

Step-by-step explanation:

It is 0 where t is the time in seconds after the ball leaves my hand

By selecting 100 inhabitants who pay real estate tax, using the town's list of taxpayers and a random number generator, Option D offers an arbitrary population sample.

This approach guarantees that each taxpayer has an equal likelihood of being chosen for the study, resulting in a diversified sample representation.

Conversely, the other options have possible biases or restrictions; like surveying solely soccer player's guardians might narrow it down to one particular group or only conducting them in designated areas could lead to misrepresentation within the frame of the entire general opinion poll.

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Answer:

10

Step-by-step explanation:

according to BODMAS

6÷2=3

3+3=6

4^2=16

16-6=10

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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The volume of the tank of water is 653.12 cubic meters.

For a cylinder of height H and diameter D, the total volume is given by:

\(V = 3.14*(D/2)^2*H\)

In this case, we know that:

D = 8m

H = 13m

Replacing that in the above equation:

\(V = 3.14*(8m/2)^2*13m = 653.12 m^3\)

So the volume of the tank of water is 653.12 cubic meters.

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Step-by-step explanation:

Your que. isn't very clear

Answer:

the required answer are -8,0,4

Answer: A≈78.54

Step-by-step explanation:  A=πr2=π·52≈78.53982

Answer:

This is your answer ☺️☺️☺️

The distance diagonally across the garden is,

⇒  12.7 feet

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

A garden is in the shape of a square with each side measuring 9 feet.

Let the distance diagonally across the garden = d

Hence, We can formulate;

⇒ d² = 9² + 9²

⇒ d² = 81 + 81

⇒ d² = 162

⇒ d = √162

⇒ d = 12.7 feet

Thus, The distance diagonally across the garden is,

⇒  12.7 feet

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Answer:

85

Step-by-step explanation:

Given that :

Mean height , μ = 166

Standard deviation, σ = 8

Sample size, n = 1000

Using the Zscore formula :

Zscore = (x - μ) / σ

x = 177

Z = (177 - 166) / 8

Z = 1.375

P(Z > 1.375) = 0.084566(Area to the right of Z)

P(Z > 1.375) * n

0.084566 * 1000 = 84.566 = 85 soldiers

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

1:1/3

Step-by-step explanation:

60:20

6:2

1:1/3

n=1/3

Brainliest please~

The value of n=100/3

As per given the value of 1m 100cm

then the ratio of value be 60/2000 is equal to the 1/(2000/60) 1/(100/3) on compare with 1:n then the Value be

n=100/3

In mathematics, a ratio indicates how often one number contains another. For example, if you have 8 oranges and 6 lemons in a fruit bowl, the ratio of oranges to lemons will be 8: 6 (that is, 8: 6, or 4: 3).

For example, if you have one boy and three girls, you can write the ratio as follows: 1: 3 (every boy has 3 girls) 1/4 is a boy and 3/4 is a girl. 0.25 is a boy (by dividing 1 by 4)

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Answer:

Domain: ( -♾, -2}  and (-2, ♾)

Range: {0, -♾) and (4, -♾)

Step-by-step explanation:

Answer: 4 zeros

Step-by-step explanation:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0    

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7  

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Answer:

In order to find the continuous growth rate, we need to convert the model to the form P(t) = P0ekt. So, we need to solve for k in 1.042 = ek. Taking the natural log of both sides, we get k = ln(1.042) ≈ . 04114.

Step-by-step explanation:

Hope that helps?

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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The given initial value problem y(0)=8, solution is \(y=\sqrt{64e^x-3x}\)

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y. An equation involving the derivative (derivatives) of the dependent variable with respect to the independent variable is referred to as a differential equation in calculus (variables). The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. If y is a dependent variable, f is an unknown function, and x is an independent variable, then y=f(x) is a function.

The given differential equation is,

\(2yy'+3=y^2+3x\\\\2y\frac{dy}{dx}=y^2+3x-3\\\\(3-y^2-3x)dx+2ydy=0\\\\compare, Mdx+Ndy=0\\\\M=3-y^2-3x\\\\N=2y\)

The given equation is not exact but if we multiplied by \(e^{-x}\)

\(The D.E.\\(3-y^2-3x)e^{-x}dx+2ye^{-x}dy=0\\\\then M_y=-2ye^{-x}=N_x\\The G.S,=y^2e^{-x}+3xe^{-x}=c\\\\y(0)=8\\c=64\\hence,\\y=\sqrt{64e^x-3x}\)

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.