Solve the equation using square roots. x² + 20 = 4
no real number solutions
√24
+√24
-4

Answer:

RS = 4.8

OT = 3.6

From the Pythagorean Theorem we know:

OR^2 = ST^2 + OT^2

OR^2 = 4.8^2 + 3.6^2

OR ^2 = 23.04 + 12.96

OR^2 = 36

OR = 6

Step-by-step explanation:

A data of cases of diabetes from the centers for disease control and prevention, the probability that the combined sample tests positive with at least 1 of the 10 people having diabetes is equals to 0.04218.

We have a data from the centers for disease control and prevention.

The rate of new cases of diabetes

= 4.3 per 1000

So, probability ( diabetes) =\( \frac{4.3}{1000}\) = 0.0043

Using complement rule, Probability for no diabetes people, P( no diabetes)

= 1 - 0.0043 = 0.9957

Now, blood samples from 10 is randomly selected. It is assumed that each of these different people having diabetes is independent events. Using multiplcation rule for independent events, P( All 10 have no diabetes )

= P( no diabetes)× P( no diabetes)×....× P( no diabetes) ( 10 times)

= ( P( no diabetes))¹⁰ = 0.9957¹⁰

= 0.957823

Using complement rule, P ( atleast 1 the 10 people having diabetes) = 1 - P( All 10 have no diabetes ) = 1 - 0.957823

= 0.04218

Since, probability value is small so it is unlikely that a combined sample test. Hence, required probability is 0.04218.

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Answer:

73

Step-by-step explanation:

17×2=34

180-34=146

146/2=73

=73

This instruction exchanges the values of AX and BX registers. After this instruction, AX will have the value BA73, and BX will have the value 0007. The correct answer is c AX = BA73, BX = 0007

Let's go through the segment step by step to determine the final values of AX and BX.

MOV AX, 0001

This instruction moves the value 0001 into the AX register. Therefore, AX = 0001.

MOV BX, BA73

This instruction moves the value BA73 into the BX register. Therefore, BX = BA73.

ASHL AL

This instruction performs an arithmetic shift left (ASHL) on the AL register. However, before this instruction, AL is not initialized with any value, so it's not possible to determine the result accurately. We'll assume AL = 00 before this instruction.

ASHL AL

This instruction again performs an arithmetic shift left (ASHL) on the AL register. Since AL was previously assumed to be 00, shifting it left would still result in 00.

ADD AL, 07

This instruction adds 07 to the AL register. Since AL was previously assumed to be 00, adding 07 would result in AL = 07.

XCHG AX, BX

This instruction exchanges the values of AX and BX registers. After this instruction, AX will have the value BA73, and BX will have the value 0007.

Therefore, the correct answer is:

c. AX = BA73, BX = 0007

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

To find the radius of a circle with an x-intercept of -2 and a center at (2,3), we can use the distance formula between two points on a plane.

The x-coordinate of the center is 2, which means the x-coordinate of the x-intercept (-2,0) is 4 units away. The y-coordinate of the center is 3, and the y-coordinate of the x-intercept is 0, which means the y-coordinate of the x-intercept is also 3 units away.

Using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's plug in the values:
Distance = √((4 - 2)^2 + (0 - 3)^2)
Distance = √((2)^2 + (-3)^2)
Distance = √(4 + 9)
Distance = √13

Therefore, the radius of the circle is √13 units.

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Answer:

The answer is---

x=10

Step-by-step explanation:

(4x+9)+(7x+4)+57=180

11x+13+57=180

11x=110

x=10

\(\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}}\)

85% of the students in Yvan’s school walk to school. If 816 students walk to school, how many students are in the school?

Response-

Since we are using percents we can make an equation out of this question

\(\frac{85}{100}=\frac{816}{x}\)

\(\frac{85}{100}\) is the way we write percents in math as a fraction

and \(\frac{816}{x}\) is the part and whole you gave us

\(\frac{85}{100}=\frac{816}{x}\) cross multiply

\(85x=81600\\divide\\x=960\)students are in the school

\(\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}\)

Answer:

1.59

Step-by-step explanation:

Divide 2,787 by 1,750

Answer:

Step-by-step explanation:

To find the total time it would take to ride x rides on a roller coaster, we can set up the following equation:

y = 15 minutes/ride * x rides (without words: y = 15x)

This equation states that the total time "y" is equal to the time per ride multiplied by the number of rides.

For example, if we wanted to find the total time it would take to ride 10 rides on the roller coaster, we could plug in x = 10 into the equation to get:

y = 15 minutes/ride * 10 rides

= 150 minutes

So it would take 150 minutes to ride the roller coaster 10 times.

Answer:

b*52

Step-by-step explanation:

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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 The dot product of vectors QP and QR is then calculated by multiplying their corresponding components and summing them up. By comparing the dot product to zero, we can determine if the triangle is right-angled. In this case, the dot product is not zero, so the triangle is not right-angled.

To determine the vector QP, we subtract the coordinates of point P from the coordinates of point Q. Similarly, to find the vector QR, we subtract the coordinates of point R from the coordinates of point Q.
To find the vector QP, we subtract the coordinates of point P from the coordinates of point Q:
QP = (1-0, -2-(-5), -5-(-3)) = (1, 3, -2)
To calculate the vector QR, we subtract the coordinates of point R from the coordinates of point Q:
QR = (5-1, -4-(-2), -6-(-5)) = (4, -2, -1)
To find the dot product of QP and QR, we multiply their corresponding components and sum them up:
QP · QR = (1*4) + (3*-2) + (-2*-1) = 4 - 6 + 2 = 0
Since the dot product is zero, it indicates that the vectors QP and QR are perpendicular, or orthogonal, to each other. However, to determine if the triangle is right-angled, we need to consider the lengths of the sides as well. Since the dot product alone does not provide information about the lengths of the sides, we cannot conclude that the triangle is right-angled based solely on the given information. Therefore, the correct answer is that the triangle is not right-angled.

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The answer is C since the square root of 38 is about 6.1 and is the closest to the dot

Answer:A=2 2/7

Step-by-step explanation:

Correct me if I am wrong

The simplified form of the 8b³c² + 4b³ c²  is (c) 12b³c².

The expression, 8b³c² + 4b³c², can be simplified by combining like terms. Both terms have the same variables, b³c², but with different coefficients. To simplify, we add the coefficients together: 8 + 4 = 12. Therefore, the simplified form of the expression is 12b³c².

This means that the sum of 8b³c² and 4b³c² is equal to 12b³c². The variables b and c are raised to the powers of 3 and 2, respectively, and they remain unchanged in the simplified form. The only change is the coefficient, which is 12.

Hence, the correct answer is c. 12b³c² By combining the terms and adding their coefficients, we have simplified the expression to its simplest form, representing the sum of the two terms.

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The present age of Kevin is 6 years.

Using the provided data, we can create two equations that specify the ages of Kevin and Daniel.

Let Kevin's present age be k and Daniel's present age be d.

As per the data given:

Kevin is 3 years older than Daniel. This can be written as:

k = d + 3

Two years ago, Kevin was 4 times as old as Daniel

Two years ago, Kevin was k - 2 years old, and Daniel was d - 2 years old.

k - 2 = 4(d - 2)

Now we have two independent equations, and we can solve for our two unknowns.

Solving our first equation for d.
We get:

d = k - 3

Substituting this into our second equation, we get the equation:

k - 2 = 4((k - 3) -2)

k - 2 = 4k - 12 - 8

k - 2 = 4k - 20

4k - k = 20 - 2

3k = 18

k = 6

Therefore the answer is 6 years.

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Answer:

Perpendicular

Step-by-step explanation:

What I would do first is to rearrange these equations into the equation of a line formula: \(y=mx+c\)

To do so, we isolate y:

x - y = 4 -> -y = -x+4 -> (multiply both sides by -1) y=x-4

x+y=9 -> y=-x+9

We know that in the formula y=mx + c, m stands for gradient of a line (The degree of steepness of the line), and we know that if there is no number before x it means that it is 1 or -1 (depending on the sign before x).

so that on y=x-4 the gradient is 1 and on y=-x+9 the gradient is -1.

We now can check if its parallel, perpendicular or neither with these equations:

m1 · m2 = -1 for perpendicular,   m1 = m2  for parallel,(where m = gradient)

we plug the values of the two gradients into the first equation

(m1 · m2 = -1) and it fits: 1 x -1 = -1

If we plug the same values into the second equation (m1 = m2), we can check that 1 ≠ -1

In conclusion, we can check that these lines are perpendicular to each other.

We will see that the distance between the home and the school is 0.5 miles.

We know that they meet in school after 10 minutes.

So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).

This will be:

3 miles per hour *10 minutes.

Note that the units are different, so we write 10 minutes in hours.

1 hour = 60 min.

(1/ 60) hour/min = 1.

Then:

10 min = 10 min*(1/ 60) hour/min = 0.167 hours.

Now we can find the distance to their school as:

D = 3 mi/h*0.167 h = 0.5 miles.

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Answer:

2.5 miles

Step-by-step explanation:

big brain

Answer:

In the novel "The Witch of Blackbird Pond" by Elizabeth George Speare, in chapters 13-15, several townsmen gather at the Wood household until late at night because they suspect that Kit's grandfather, Matthew Wood, is hiding royalist sympathies. The men search through Matthew's belongings and find books and pamphlets that are considered to be treasonous, including a pamphlet by William Penn. They also find a prayer book that Matthew had brought with him from England. The men take the items and leave, warning the Woods to be careful about their political leanings. This event foreshadows the tension and conflict that will arise later in the novel between the royalists and the patriots.

Step-by-step explanation:

cuz graaa thag boys a lier da boys a lier

Answer:

600 calories

Step-by-step explanation:

60/10 = 6

6 x 100 = 600

Answer:

an hour is 60 minutes. 10 times 6 gives you 60. 100 times 6 gives you 600.

Answer:

volume=3x³+15x²+12x

Step-by-step explanation:

v= l*w*h =(3x )(x+1) (x+4)

v=3x(x²+5x+4)

volume=3x³+15x²+12x

Answer:

15$

Step-by-step explanation:

The number of subsets with more than two elements that can be formed from a set of 101 elements is approximately 1.27 × 10^30.

To calculate the number of subsets with more than two elements that can be formed from a set of 101 elements, we can use the formula 2^n - nC0 - nC1 - nC2, where n is the number of elements in the set.

In this case, n = 101. So the calculation would be:

2^101 - C(101, 0) - C(101, 1) - C(101, 2)

Using a calculator or a mathematical software, we can compute the values:

2^101 ≈ 1.27 × 10^30

C(101, 0) = 1

C(101, 1) = 101

C(101, 2) = 5050

Substituting these values into the formula, we get:

1.27 × 10^30 - 1 - 101 - 5050 ≈ 1.27 × 10^30 - 5152 ≈ 1.27 × 10^30

Therefore, the number of subsets with more than two elements that can be formed from a set of 101 elements is approximately 1.27 × 10^30.

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Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

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Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.