Help me with these 3 question please asp

Answer:

it means maybe or either

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

From this Triangle

Taking Triangle XZH, wanting to find HZ

From the Second triangle, ZHY

XY = x + 8

= 11.83 + 8

=19.83

His newest interest rate will be 2.75%

Discount points or mortgage points are prepaid interest. The purchase of each point generally lowers the interest rate on your mortgage by up to 0.25%. Most lenders provide the opportunity to purchase anywhere from a fraction of a point to three discount points.

Given here loan amount = $200,000 , initial interest rate = 3.5 % , one mortgage point = $2000  and he has $6000 . Now let  purchase of each point lowers the interest rate by 0.25% , then if he puts  $6000  toward mortgage points his interest rate would reduce by (0.25×3)% = 0.75% as  $6000 is equivalent to  purchasing 3 points.

Therefore, his new interest rate will be = 3.5% - 0,75%

                                                                = 2.75%

Hence, his newest interest rate will be 2.75%

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The cost equation is:

This cost has to be between 4000 and 11,000. Thus, we can write:

We can solve for the range of S with a little algebra, shown below:

The nth term of the sequence is aₙ = 26 - 4n.

A sequence is defined as an arrangement of numbers in a particular order.

The sequence is an arithmetic sequence. Therefore, the nth term of the sequence can be found as follows:

aₙ = a + (n - 1)d

where

Therefore,

a = 22

d = 18 - 22 = -4

n = number of terms

Hence,

aₙ = 22 + (n - 1)-4

aₙ = 22  - 4n + 4

aₙ = 22 + 4 - 4n

aₙ = 26 - 4n

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Answer:

Step-by-step explanation:

Since the figure is symmetrical, angle MOA will be half of angle BOA, so will be 130°/2 = 65°. The tangent ratio is useful here. It tells you ...

  tan(MOA) = MA/OA

  AM = OA·tan(MOA) = 6·tan(65°)

  AM ≈ 12.87 . . . cm

__

Similarly, ...

  CM = 4·tan(65°)

  CM ≈ 8.578 . . . cm

__

The cosine ratio is useful for finding OD.

  cos(MOA) = OA/OM

  OM = OA/cos(MOA) = 6/cos(65°)

Similarly, ...

  DM = 4/cos(65°)

The length we want is OD, so ...

  OD = OM +DM = 6/cos(65°) +4/cos(65°) = 10/cos(65°)

  OD ≈ 23.66 . . . cm

Answer:

Number of small boxes shipped = 7

Number of large boxes shipped = 15

Step-by-step explanation:

Let the number of small boxes = s

And the number of large boxes = l

Weight of small box = 25 pound

Weight of the large box = 50 pounds

Total weight of the shipment = 925 pounds

Therefore, equation for the weight of shipment will be,

25s + 50l = 925

s + 2l = 37 ----- (1)

Total number of boxes shipped = 22 boxes

Therefore, equation will be,

s + l = 22 ------(2)

Subtract equation (2) from equation (1)

(s + 2l) - (s + l) = 37 -22

l = 15

From equation (2)

s + 15 = 22

s = 7

Therefore, number of small boxes shipped = 7

Number of large boxes shipped = 15

Answer:

64

Step-by-step explanation:

first, we'll start with the value inside the parenthesis, which is 2³

2³ means to multiply 2 by itself 3 times

so it would be

2×2×2=8

which then means that the expression is now (8)²

now we need to do (8)², which is to multiply 8 by itself twice

8*8=64

hope this helps!

Answer:

9  years

Step-by-step explanation:

Lucy weighs 6.6 pounds and gains 1.7 pounds per year

The expression above can be expressed mathematically as;

1.7x + 6.6

where x = number of years

Biggie weighs 12.9 pounds and gains 1 pound per year.

The expression above can be expressed mathematically as;

x + 12.9

where x = number of years

How many years will it take until the two cats weigh the same amount?

1.7x + 6.6 = x + 12.9 (Solve for x)

1.7x - x = 12.9 - 6.6

0.7x = 6.3

x = 6.3 / 0.7 = 9 years

Answer:

71.7

Step-by-step explanation:

If you draw out a picture and visualize it, you will be able to see that you need to use inverse cosine to solve this. Plug in cos^-1 (2.2/7) and you will get 71.7 as your answer.

Answer:

71.7 degrees

Step-by-step explanation:

Answer:

12:27

Please give me brainliest

The bias that occurs in this scenario is an example of Information bias.

The type of bias that occurs when a research assistant uses the incorrect threshold to classify participants as having pre-clinical disease is called "Information bias".Information bias is a type of bias that occurs when the method of collecting or measuring data influences the results obtained. The result is either an overestimation or an underestimation of the association between the exposure and outcome.

When the information bias occurs due to the incorrect use of classification criteria, it is referred to as misclassification bias.In this case, the research assistant used an incorrect threshold to classify participants as having pre-clinical disease. This means that some individuals who actually have the disease would be classified as not having it, while others who do not have the disease would be classified as having it.

As a result, the prevalence of the disease would be either overestimated or underestimated, and any observed association with the exposure of interest would be distorted.

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In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer: jordan needs 2 cups of chicken for 3 salads

Step-by-step explanation:

Answer:

x= 180°-90°-40°

= 50°

y= 180°-90°-60°

= 30°

z=180°-60°-40°

= 80°

Answer:

x = 50°

y = 30°

z = 80°

Step-by-step explanation:

This shape is made up of 2 larger intersecting triangles, which also forms  a smaller triangle and a quadrilateral.

Looking at the larger triangle with angles y°, 60° and right angle:

Sum of interior angles of a triangle = 180°

⇒ y + 60 + 90 = 180

⇒ y = 30°

Looking at the larger triangle with angles z°, 40° and 60°:

Sum of interior angles of a triangle = 180°

⇒ z + 60 + 40 = 180

⇒ z = 80°

We can work out x in two different ways.

Method 1

The angle adjacent to the right angle is also a right angle, since angles on a straight line add up to 180°.

This means that the small triangle with angles x° and 40° is a right triangle.

Sum of interior angles of a triangle = 180°

⇒ x + 40 + 90 = 180

⇒ x = 50°

Method 2

Look at the quadrilateral that has been formed by the 2 intersecting larger triangles.

Sum of interior angles of a quadrilateral = 360°

⇒ z + 60 + 90 + unmarked angle = 360

⇒ 80 + 60 + 90 + unmarked angle = 360

⇒ unmarked angle = 130°

The unmarked angle in the quadrilateral forms a linear pair with angle x.

⇒ unmarked angle + x = 180

⇒ 130 + x = 180

⇒ x = 50°

The measure of -450° in radians is approximately -2.5π or -7.85 radians (rounded to the nearest hundredth).

To convert -450° to radians, we can use the fact that 360° is equal to 2π radians.

First, we calculate how many full revolutions -450° represents. Since 360° is a full revolution, we divide -450° by 360° to get -1.25 revolutions.

Next, we multiply the number of revolutions by 2π to convert to radians.

Since -1.25 revolutions * 2π = -2.5π, the measure of -450° in radians is approximately -2.5π.

To express this answer as a decimal rounded to the nearest hundredth, we can use an approximation of π as 3.14. Therefore, -2.5π is approximately -2.5 * 3.14 = -7.85 radians.

So, the measure of -450° in radians is approximately -2.5π or -7.85 radians (rounded to the nearest hundredth).

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Given: A = 43.7°, a = 8.7, and b = 10.3We can find the number of possible triangles by using the Law of Sines, which states that a / sin A = b / sin B = c / sin C, where a, b, and c are the side lengths and A, B, and C are the opposite angles. Let's first use the Law of Sines to find the value of sin B: a / sin A = b / sin B => sin B = b sin A / a.

Substituting the given values, we get: sin B = 10.3 sin 43.7° / 8.7≈ 0.641Now we know the value of sin B. We can use the inverse sine function (sin⁻¹) to find the possible values of angle B: B = sin⁻¹ (0.641)≈ 40.4° or B ≈ 139.6°Note that there are two possible angles for B because sine is a periodic function that repeats every 360°.Now that we know the possible values of angle B, we can use the fact that the sum of the angles of a triangle is 180° to find the possible values of angle C: C = 180° - A - B. For B = 40.4°, we get: C = 180° - 43.7° - 40.4° = 95.9°For B = 139.6°, we get: C = 180° - 43.7° - 139.6° = -2.3°Note that we get a negative value for angle C in the second case, which is not possible because all angles of a triangle must be positive. Therefore, the second case is not valid and we only have one possible triangle. Answer: There is only one possible triangle.

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When a cylinder is intersected by a plane parallel to the bases, the resulting cross-section is a circle.

A cylinder is a solid geometric figure which has two parallel, congruent bases.

The bases are connected by a curved surface called a lateral surface. If a plane is made to intersect a cylinder, the resulting cross-section can be circular or elliptical, depending on how the plane intersects the cylinder.

In this case, if the plane intersects the cylinder parallel to the bases, the resulting cross-section is a circle because any section taken parallel to the base of a cylinder is congruent to the base.

This is true for both right cylinders and oblique cylinders.

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Answer:

sides

14 X 22 = 308 square foot there are four of these

308 X 4 = 1232 square foot.

triangles

A= 0.5 X b X h

0.5 X 14 X 10 = 70 square foot again there are four of these 70 X 4 = 280 square foot

1232 + 280 = 1512 square foot

1512/213 = 7.09859154

8 gallons of paint will need to be purchased.

Answer:

Step-by-step explanation:

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

12 meters = 12000 mm

(1m = 1000 mm)

12 * 1000 = 12000

The x value will be 109°. The straight line formed a 180° angle. Solving the equation yields the angle.

Supplementary angles are two angels whose sum is 180°. When a straight line intersects a line, two angles form on each of the sides of the considered straight line.

Those two-two angles are supplementary angles in two pairs. That is, if two supplementary angles are adjacent to each other, their exterior sides form a straight line.

The straight line formed a 180° angle. The resulting equation is as follows:

⇒x+42°+29°=180°

⇒x=109°

Hence, the value of the x will be 109°

The complete question is:

AB is a straight line.

Work out the size of angle x.

Not drawn accurately

42°

Х

29°

А

B

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(a) The differential equation that is satisfied by y is:

\(\frac{dy}{dt} = ky(1-y)\)

(b) To solve the differential equation, we separate the variables and integrate both sides:

\(\frac{dy}{y*(1-y)} = k*dt\)

Integrating both sides, we get:

\(\frac{lnly}{1-y} = k*t +c1\)

where C1 is an arbitrary constant of integration.

We can rewrite the equation in terms of y:

\(\frac{y}{1-y} = e^{(k*t+c1)}\)

Multiplying both sides by (1-y), we get:

\({y} = e^{(k*t+c1)} *(1-y)\)

\(y= \frac{C}{(1+(c-1)e^{-kt} }\)

where C = y(0) is the initial fraction of the population who have heard the rumor.

(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.

Substituting these values into the equation from part (b), we get:

\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)

Solving for k, we get:

\(k= ln(\frac{12.857}{4} )\)

Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:

\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))

Solving for t, we get:

t = 8.7 hours after the beginning (rounded to one decimal place)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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Answer:

The answer will be 0.36 in decimal form

After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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Answer:

1/25

Step-by-step explanation:

Probability of an event = number of required outcomes / number Total possible outcomes

Total number of possible outcomes = (0, 1, 2, 3, 4) = 5

Required outcome = (2) = 1

P(2) = 1 /5

.

Second spin

P(2) = 1 /5

Therefore, the probability of ;

P(2, then 2) = first spin * second spin = 1/5 * 1/5 = 1/25

Step-by-step explanation:

since it is a right-angled triangle, the principle of Pythagoras has to be fulfilled :

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), which is in our case (x + 32).

a and b are the legs.

so

(x + 32)² = x² + (x + 31)²

x² + 64x + 1024 = x² + x² + 62x + 961

2x + 1024 = x² + 961

x² - 2x - 63 = 0

as 63 = 7×9

and -9 + 7 = -2

we can conclude that this quadratic equation is the same as the following factorization :

(x + 7)(x - 9) = 0

we have 2 solutions :

x = -7

x = 9

as x is also the length of a side, the negative solution does not make any sense.

so, x = 9 is our solution.

that means the sides of the triangle are

x = 9

x + 31 = 40

x + 32 = 41

and the perimeter of the triangle is

9 + 40 + 41 = 90

(a) The probability that it loses money on a single policy is 0.025

(b) The probability that the company makes a profit on these policies is 3.75%

Here we have given that that an insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually.

Now for a single policy as we are given the probability of accident here is calculated as,

=> 25/1000 = 0.025

Where as suppose that the company writes 1,000 such policies to a collection of drivers, then the probability that the company makes a profit on these policies is calculated as,

=> 2000 - [65,000 x 25/1000]/100

=> [2000 - 1625]/100

=> 375/100

=> 3.75%

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The variance for acceptable products in the sample is 11.76.

The variance for  a random variable X representing the number of acceptable products in the sample can be determined using the formula:

Var(X) = n * p * (1 - p)

Where:

n is the number of products in the sample

p is the probability of a product being acceptable

In this case, n = 600 and p = 98% = 0.98

Substituting the values into the formula:

Var(X) = 600 * 0.98 * (1 - 0.98)

Var(X) = 600 * 0.98 * 0.02

Var(X) = 11.76

Therefore, the variance for acceptable products in the sample is 11.76.

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