A famer planted 154 tomato plants. 46 of the plants died. He replanted the plants in rows, with each row containing 9 plants. Which equation can be used to find p the number of rows the farmer planted

The probability that a patient with a stiff neck has meningitis is very low at 0.002%.

To find the probability that a patient with a stiff neck has meningitis, we can use Bayes' theorem.

Let A be the event that the patient has meningitis and B be the event that the patient has a stiff neck.

We know that P(B|A) = 0.5, meaning that if a patient has meningitis, there is a 50% chance they will have a stiff neck. We also know that P(A) = 1/50,000, meaning that the probability that any patient has meningitis is 1 in 50,000. Additionally, we know that P(B) = 1/20, meaning that the probability that any patient has a stiff neck is 1 in 20.

Using Bayes' theorem, we can find the probability that a patient with a stiff neck has meningitis:

P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.5 * (1/50,000) / (1/20)
P(A|B) = 0.00002 or 0.002%

Therefore, the probability that a patient with a stiff neck has meningitis is very low at 0.002%.

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we know that

Supplementary angles sum 180 degrees

so in this problem

120 and 60and 60

The value of the x in the unknown angle is 9 and the unknown angle in the complementary angle is 58 degrees

Complementary angles are two angles whose sum is equal to 90 degrees. The sum of two or more angles that form a complementary angle must always be equal to 90 degrees while angles that have a sum of 180 degrees are called supplementary angles.

In this problem, we can write an equation and solve for x to find the value of the missing angle.

32 + (6x + 4) = 90

32 + 6x + 4 = 90

36 + 6x = 90

Collect like terms

6x = 90 - 36

6x = 54

Divide both sides by the coefficient of x

6x / 6 = 54 / 6

x = 9

The unknown angle can be calculated as;

A = 6(9) + 4

A = 54 + 4

A = 58 degree

The unknown angles measure 58 degree

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After the depression in the principality of Lucastan, the number of unemployed workers who gave up searching completely (3 million) is greater than the number of unemployed workers (8 million).

During the depression, a total of 8 million workers in Lucastan lost their jobs. However, out of these 8 million, only 3 million workers completely gave up searching for employment. This means that there are 3 million workers who are not actively seeking employment anymore.

While both numbers are significant, the 3 million workers who gave up searching completely is greater than the 8 million unemployed workers. This highlights the discouragement and lack of job prospects that led these workers to withdraw from the labor force entirely.

The 3 million workers who have given up searching completely may face challenges in re-entering the workforce, as they may have become discouraged or may have taken on other responsibilities during their period of unemployment. This can have long-term implications for the labor market and the economy of Lucastan.

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The system of equations has a unique solution when the determinant of the coefficient matrix is non-zero.

In this case, the coefficient matrix is:

|  0  1  2k |

|  1  2   6  |

|  k  0   2  |

The determinant of this matrix is given by:

D = 0(2(2) - 0(6)) - 1(1(2) - 6(k)) + 2k(1(0) - 2(2))

 = -12k + 12k

 = 0

When the determinant is zero, the system may have infinitely many solutions or no solution. Therefore, we need to investigate further to determine the values of k for which the system has a unique solution.

(b) To determine the values of k for which the system has no solution, we can check if the rank of the coefficient matrix is less than the rank of the augmented matrix. If the ranks are equal, the system has a unique solution. If the ranks differ, the system has no solution.

By performing row reduction on the augmented matrix, we find that the ranks of both the coefficient matrix and the augmented matrix are equal to 2. Therefore, for any value of k, the system has a unique solution.

In summary, for all values of the constant k, the given system of equations has a unique solution and does not have any solution.

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:

Ss

Step-by-step explanation:

Answer:

Answer: √49

___________

√49 = 7

Step-by-step explanation:

The area of a square is equal to the square of its side or the product of its side and its side.

A = s², because the sides of a square are congruent.

x = -1,-16,-2.

TIE FIGHTERS GO ZOOOOOOOM

Answer:

\(a = \frac{bq}{n}\)

Step-by-step explanation:

If we are trying to solve for "a", then we need it to be alone on one side of the equation.

\(\frac{n}{q} = \frac{b}{a}\)

\(\frac{an}{q} = b\)

\(a = \frac{bq}{n}\)

Answer:

8x+12y<=192

Step-by-step explanation:

Create an inequality to represent Cheryl's situation, where x is the number of 8-ounce jars, and y is the number of 12-ounce jars.

8x+12y<=192

To graph the inequality, rewrite it in slope-intercept form.

8x+12y<=192

12y<=-8x+192

y<=-(2)/(3)x+16

Graph the boundary line as solid, with a y-intercept at (0,16) and a slope -2/3 of. Then, shade the half-plane below the line.

Answer:

Step-by-step explanation:

Answer:

GH¢200.00

Step-by-step explanation:

GH¢1400-GH¢1200

GH¢200.00

The total number of people who have the disease is 115.

The total number of people in the sample population is

Total = 175

The negative predictive value is

NPV= (TN / (TN + FN)) = (25 / (25 + 55) = 25 / 80 = 0.3125

The positive predictive value

PPV = (TP / (TP + FP)) = (60 / (60 + 35) = 60 / 95 = 0.6316

The sensitivity of the test

Sensitivity = (TP / (TP + FN)) = (60 / (60 + 55) = 60 / 115 = 0.5217

The total number of people who have the disease

= 60+55 = 115

The number of False Positives (FP)

= 35

The number of True Positives (TP)

= 60

The total number of people that tested negative

= 80

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If all the available assembly and testing time is used, we can assemble and test 10 of the second-type carburetors.

Let's let x be the number of the first type carburetors and y be the number of the second type carburetors.

To minimize calculation, let's focus on just one of the constraints, say the assembly time constraint. We can write: \(11x + 15y ≤ 372\)

Dividing everything by 3: (note: dividing by 3 preserves the inequality

\()4x + 5y ≤ 124\)

Rewriting this as:

\(y ≤ (-4/5)x + 24.8\)

Notice that this is the equation of a line with slope -4/5 and y-intercept 24.8.

The graph looks like this: Graph of\(y ≤ (-4/5)x + 24\).

We can see from the graph that y ≤ (-4/5)x + 24.8 is satisfied for any point under the line.

For example, \((x,y) = (20, 4)\)satisfies the inequality, but \((x,y) = (20,5)\) does not.

Now we turn our attention to the testing time constraint:2x + 9y ≤ 169

Dividing everything by 1: (note: dividing by 1 preserves the inequality)2x + 9y ≤ 169Rewriting this as

\(y ≤ (-2/9)x + 18.8\)

Notice that this is the equation of a line with slope -2/9 and y-intercept 18.8.

The graph looks like this:

Graph of \(y ≤ (-2/9)x + 18\).8

We can see from the graph that \(y ≤ (-2/9)x + 18.8\) is satisfied for any point under the line.

For example,\((x,y) = (20, 2)\) satisfies the inequality, but\((x,y) = (20,3)\)does not.

Now we need to find the point on both lines that maximizes the number of second-type carburetors y.

This point will lie on the intersection of the two lines:\(y = (-4/5)x + 24.8y = (-2/9)x + 18\).

Solving this system of equations, we get:x = 112/11 and y = 4/11Rounded down to the nearest integer, we get:x = 10 and y = 0

Therefore, if all the available assembly and testing time is used, we can assemble and test 10 of the second-type carburetors.

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Answer:

5 to 3

Step-by-step explanation:

15/3=5

6/3=3

Answer:

5:2

Step-by-step explanation:

15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,

5:2 hope i helped you (and could i have brainliest it would help me!)

3/4 + -5/8

---Find a common denominator

6/8 + -5/8

---Simplify

1/8

Hope this helps!

Answer:

3/4 + -5/8 = 1/8

Step-by-step explanation:

When adding fractions, you always need to find a common denominator. 4 and 8 share a common denominator of 8.

You multiply 3/4 by 2/2 and get 6/8.

When adding negative numbers, it is the same as subtracting.

6/8  + (-5/8)  =

6/8 - 5/8 = 1/8

So 1/8 is the answer.

I hope this helps!

Step-by-step explanation:

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8

|-2| ≤ 8

2 ≤ 8

Option C is correct.

Credit to: SchwarzschildRadius

Answer:

c

Step-by-step explanation:

To solve the quadratic function -3x² + 5x + 9 = 0, the formula that should be used is Option C: x = (-5 ± √133) / -6.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The quadratic formula is used to solve quadratic equations in the form of ax² + bx + c = 0, where a, b, and c are constants.

To use the quadratic formula to solve the equation -3x² + 5x + 9 = 0, we need to identify the values of a, b, and c.

In this case, a = -3, b = 5, and c = 9.

Therefore, we can use these values to plug into the quadratic formula -

x = (-b ± √(b² - 4ac)) / 2a

So the answer that can be used to find the solutions to the equation using the quadratic formula is -

x = (-5 ± √(5² - 4 × (-3) × 9)) / 2 × (-3)

Solving this equation we get -

x = (-5 ± √(25 + 108)) / -6

x = (-5 ± √133) / -6

Therefore, the solution is obtained by the equation x = (-5 ± √133) / -6.

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Answer:

3.40

Step-by-step explanation:

47.6 divided by 14 = 3.4

The total volume of the two circular cylinders intersecting perpendicularly is\(V=πr2+πr3=πr2(1+r)\).

The volume of the two circular cylinders intersecting perpendicularly can be calculated using the triple integral formula in rectangular coordinates. The triple integral formula is V=∫∫∫dzdydx.

We can separate the integral into three components. The x-component is ∫dx from \(-√r2-y2 to √r2-y2\). The y-component is ∫dy from -r to r. The z-component is ∫dz from 0 to r.

Substituting the components into the equation for the triple integral, we get \(V=∫-rrdr∫-√r2-y2√r2-y2dx∫0rdz\).

We can solve the integral by splitting the y-component into two pieces:

\(V=∫-rrdr∫-r0dx∫0rdz+∫-rrdr∫0√r2-y2dx∫0rdz\)

The first integral can be solved easily and yields V=πr2. The second integral can be solved using the substitution u=r2-y2 and yields V=πr3.

Hence, the total volume of the two circular cylinders intersecting perpendicularly is V=πr2+πr3=πr2(1+r).

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Answer: y = 45x + 345

Step-by-step explanation:

Hope this helps!!! :)

The 573.24 ft/min revolutions per minute her wheels make if the bicyclist races on a bicyclist with 12-inch-radius wheels.

As we know the circumference of a wheel = 2πr

The radius of a wheel = 12 inch

The radius of a wheel = 1 ft

Circumference = 2 * 3.14 * 1

Circumference = 6.28 ft

The distance covered in one minute = 60 * 60 ft/min

The distance covered in one minute = 3600 ft/min

Now, revolution per minute = 3600/6.28

Revolution per minute = 573.24 ft/mn\in

Thus, the 573.24 ft/min revolutions per minute her wheels make if the bicyclist races on a bicyclist with 12-inch-radius wheels.

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Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

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HEIGHT = 15cm

Step-by-step explanation:

2 * 22/7 * 7 (7+h )= 968

2 * 22 (7+h)=968

(7+h) = 968/44

7 + h = 22

h = 22 - 7

= 15 cm

Answer:

The height of cylinder is 15 cm.

Step-by-step explanation:

Given :

To Find :

Using Formula :

\({\star{\small{ \underline{ \boxed{\sf{\red{TSA_{(Cylinder)} = 2\pi r(r + h)}}}}}}}\)

Solution :

Substituting all the given values in the formula to find height of cylinder :

\({\longrightarrow{\small{\sf{ \: TSA_{(Cylinder)} = 2\pi r(r + h)}}}}\)

\({\longrightarrow{\small{\sf{ \: 968= 2 \times \dfrac{22}{7} \times 7(7 + h)}}}}\)

\({\longrightarrow{\small{\sf{ \: 968= 2 \times \dfrac{22}{\cancel{7}} \times \cancel{7}(7 + h)}}}}\)

\({\longrightarrow{\small{\sf{ \: 968= 2 \times 22(7 + h)}}}}\)

\({\longrightarrow{\small{\sf{ \: 968= 44(7 + h)}}}}\)

\({\longrightarrow{\small{\sf{ \: (7 + h) = \dfrac{968}{44}}}}}\)

\({\longrightarrow{\small{\sf{ \: (7 + h) = \cancel{\dfrac{968}{44}}}}}}\)

\({\longrightarrow{\small{\sf{ \: (7 + h) = 22}}}}\)

\({\longrightarrow{\small{\sf{ \: 7 + h = 22}}}}\)

\({\longrightarrow{\small{\sf{ \: h = 22 - 7}}}}\)

\({\longrightarrow{\small{\sf{ \: h = 15 \: cm}}}}\)

\({\star{\small{ \underline{ \boxed{\sf{\red{Height = 15cm}}}}}}}\)

Hence, the height of cylinder is 15 cm.

\(\underline{\rule{220pt}{3pt}}\)

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

The go-kart's speed is approximately 115.4545 miles per hour.

We have,

To convert the speed from feet per hour to miles per hour, we need to use the conversion factor: 1 mile = 5280 feet.

Given that the go-kart's top speed is 607,200 feet per hour, we can calculate its speed in miles per hour as follows:

Speed (in miles per hour)

= (607,200 feet per hour) / (5280 feet per mile)

Speed (in miles per hour)

= 115.4545 miles per hour

Therefore,

The go-kart's speed is approximately 115.4545 miles per hour.

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Answer: Check attached image

Step-by-step explanation:

The biggest thing to remember for this question:

If a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive

Answer:

3.17

Step-by-step explanation:

-1 - (-20) = 19

10 - 4 = 6

19/6=3.17