Help please it’s geometry

Answer:

10 times larger.

The 3 in 903.7 is in the ones place, and the 3 in 4.31 is in the tenths place, which is to the left of the decimal one time.

If you were to move the 3 in 4.31 to the right of the decimal like where the 3 is in 903.7, then you would be increasing the 3s value by 10.

Step-by-step explanation:

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From Bayes' Theorem, an events related to involved in a hit and run accident at night. The required probability that the blue cab involved in accident rather than green as well as witness also identified it as blue cab is equals to the 0.41 or 41% .

Bayes' Theorem states that the conditional probability of an event, is based on the occurrence of another event, is equal to the likelihood of the second event the first event multiplied by the probability of the first event. According to scenario, it is found that a cab was involved in a hit and run accident at night. Number of cab companies operates in city = 2 ( blue and green)

Probability that green cab involved in accident, P(G) = 85% = 0.85

Probability that blue cab involved in accident, P( B) = 15% = 0.15

Now, the cab which is identified by witness was a blue cab and after identification court also tested the witness's credibility. Here, probability that witness is correct to identification a blue cab = P(W/B) = 0.80

Probability that witness is wrong to identify the blue cab = P(W/G)

= 0.20

Using the Baye's theorem, Probability that accident was caused by blue cab provided witness identifies is, \(P( B/W) = \frac{ P(B ∩W )}{ P( W)} = \frac{ P( B) P( W/B)}{ P( W)} \\ \)

Total Probability, P(W) = P(B)P(W/B) + P(G)P(W/G)

= 0.15 × 0.8 + 0.85 × 0.2 = 1.2 + 1.7 = 2.9

P(B/W) = (0.15 × 0.8)/2.9

= 1.2/2.9 = 0.41 = 41%

Hence, required probability value is 41%.

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If a government printed money and distributed it to people, this would diminish its scarcity and thus diminish its acceptability.

Scarcity is an important characteristic of money that contributes to its acceptability and value. When money is scarce, it is considered valuable because it is limited in supply relative to the demand for it.

However, if a government were to print and distribute additional money, it would increase the overall supply of money in circulation. As a result, the scarcity of money would be diminished since there would be more of it available.

This increased supply can lead to inflation and decrease the purchasing power of each unit of currency. Consequently, people may lose confidence in the value and acceptability of the money, as its scarcity is no longer maintained.

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An equation that represent function 1 is y = 7x.

An equation that represent function 2 is y = 9x.

An equation that represent function 3 is y = 13x.

An equation that represent function 4 is y = x/10.

An equation that represent function 5 is y = 5x + 1.

An equation that represent function 6 is y = 4x + 5.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (1, 7), a linear equation in standard form for function 1 can be calculated by using the point-slope form as follows:

y - 7 = (14 - 7)/(2 - 1)(x - 1)

y - 7 = 7(x - 1)

y = 7x - 7 + 7

y = 7x

At data point (0, 0), a linear equation in standard form for function 2 can be calculated by using the point-slope form as follows:

y - 0 = (9 - 0)/(1 - 0)(x - 0)

y = 9(x - 0)

y = 9x

At data point (1, 13), a linear equation in standard form for function 3 can be calculated by using the point-slope form as follows:

y - 13 = (26 - 13)/(2 - 1)(x - 1)

y - 13 = 13(x - 1)

y = 13x - 13 + 13

y = 13x

At data point (10, 1), a linear equation in standard form for function 4 can be calculated by using the point-slope form as follows:

y - 1 = (2 - 1)/(20 - 10)(x - 10)

y - 1 = 1/10(x - 10)

y = x/10 - 1 + 1

y = x/10.

At data point (0, 1), a linear equation in standard form for function 5 can be calculated by using the point-slope form as follows:

y - 1 = (6 - 1)/(1 - 0)(x - 0)

y = 5(x - 0) + 1

y = 5x + 1.

At data point (4, 21), a linear equation in standard form for function 4 can be calculated by using the point-slope form as follows:

y - 21 = (37 - 21)/(8 - 4)(x - 4)

y - 21 = 4(x - 4)

y = 4x - 16 + 21

y = 4x + 5.

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Answer:

Below

Step-by-step explanation:

The maximum area of land that can be enclosed is a SQUARE

  using the river as one side of the square means there are 3 sides that total 800 ft     800 / 3 = 266 2/3 ft per side

  area would then be L x W =    266 2/3  * 266 2/3 = 71111  1/9 ft^2

Answer:

4. is correct.

Step-by-step explanation:

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

D

Step-by-step explanation:

Answer:690

Step-by-step explanation:

690

Answer:  $3,261.

Step-by-step explanation:

The answer is $3,261. Jayden would have more money in his account than Camden because his account pays a higher interest rate and is compounded continuously, which allows more frequent compounding of interest. This means that Jayden's account accumulates more interest than Camden's account over time.

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.

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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​ ?

The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

One of the required expressions is:

Similarly, taking 65 degrees as the angle of interest, we have

The other required expression for finding x is:

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees

The length of the shorter leg of the triangle ABC is approximately 24.49 units. Let's denote the right triangle ABC, where C is the right angle.

Let D be the midpoint of AB, and E be the foot of the altitude from C to AB. Then we have:

CD = 1/2 AB (definition of median)

CE = 12 (given altitude to the hypotenuse)

Let x be the length of the shorter leg of the triangle ABC. Then we have:

AE = x (definition of altitude)

EB = AB - x (definition of complementary leg)

By the Pythagorean theorem, we have:

AC^2 = AB^2 + BC^2

(2CD)^2 = AB^2 + x^2

AB^2 = 4CD^2 - x^2

By the similarity of triangles AEC and ABC, we have:

CE/AC = AE/AB

12 / (AB + BC) = x / AB

AB = x / (12/x + 1)

Substituting AB into the previous equation, we get:

4CD^2 - x^2 = x^2 / (12/x + 1)^2

Simplifying and solving for x, we get:

x^4 - 576x^2 - 14400 = 0

This is a quadratic equation in x^2, so we can solve for it using the quadratic formula:

x^2 = [576 ± sqrt(576^2 + 4*14400)] / 2

x^2 = [576 ± 624] / 2

Since x is a length, we take the positive square root:

x^2 = 600

x ≈ 24.49

Therefore, the length of the shorter leg of the triangle ABC is approximately 24.49 units.

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Answer:

A.) 1/3

B.) 1/6

C.) 1/2

D.) 0

Step-by-step explanation:

Total number of faces on spinner = 6

Probability = (required outcome / Total possible outcomes)

A)

P(spinning Red):

n(Red) / n(total)

n(red) = 2, n(total) = 6

P(spinning red) = 2/6 = 1/3

B.)Spinning a 1 :

n(1) = 1

Therefore, P(spinning 1) = 1/6

C.) spinning an odd number :

Odd numbers = 1,3,5

P(spinning an odd number) = 3/6 = 1/2

D.) spinning a 9:

9 isn't a number on the wheel

P(spinning a 9) = 0/6 = 0

Answer:

11

Step-by-step explanation:

55/11=5

Answer:

3 down 2 right

Step-by-step explanation:

A is at Y = 1, A’ is at Y = 4

4-1 = 3

It moved up 3 units.

A is at X = 1, A’ is at x = -1

1 - -1 = 2

It moved to the left 2 units.

Answer: 3ln4 + 3lna

Step-by-step explanation:

\(\ln (4a)^{3}\\=3 \ln 4a\\=3(\ln 4+\ln a)\\=\boxed{3\ln 4+3\ln a}\)

Answer:

C and second one is A

Answer:

All of the above

Explanation:

All the given options make use of credit scores and/or credit reports to decide whether a person can buy a service and/or to decide what price he or she will pay. landlords may use credit scores to decide if they will require a security deposit and, if so, how much it should be. Also, other service providers like Mortgage lender, Cell phone company and Credit card issuer makes use of credit scores and/or credit reports in making certain decisions.

Answer:

what's the question at the bottom

\(\\ \rm\Rrightarrow tan16.5=\dfrac{H}{13.5}\)

\(\\ \rm\Rrightarrow H=13.5tan16.5\)

\(\\ \rm\Rrightarrow H=13.5(0.296)\)

\(\\ \rm\Rrightarrow H=3.996ft\)

The expected value or the mean of X is 10 and the variance of X is 100/3 sec²

We are given that X is uniformly distributed between 0 and 20 seconds after pressing the elevator button. This means the probability density function (PDF) of X is:

f(x) = 1/20, 0 ≤ x ≤ 20

f(x) = 0, otherwise

a. To find the probability that the elevator takes less than 10 seconds to arrive, we need to integrate the PDF from 0 to 10:

P(X < 10) = ∫[0,10] f(x) dx = ∫[0,10] 1/20 dx = (1/20) * [x]₀¹⁰= 1/2

Therefore, the probability that the elevator takes less than 10 seconds to arrive is 1/2.

b. To find the probability that the elevator takes more than 18 seconds to arrive, we need to integrate the PDF from 18 to 20:

P(X > 18) = ∫[18,20] f(x) dx = ∫[18,20] 1/20 dx = (1/20) * [x]₁₈²⁰ = 1/10

Therefore, the probability that the elevator takes more than 18 seconds to arrive is 1/10.

c. To find the probability that the elevator takes between 10 and 15 seconds to arrive, we need to integrate the PDF from 10 to 15:

P(10 < X < 15) = ∫[10,15] f(x) dx = ∫[10,15] 1/20 dx = (1/20) * [x]₁₀¹⁵ = 1/4

Therefore, the probability that the elevator takes between 10 and 15 seconds to arrive is 1/4.

d. The expected value or the mean of X is:

E(X) = ∫[0,20] x * f(x) dx = ∫[0,20] x * 1/20 dx = (1/40) * [x²]₀²⁰ = 10

Therefore, the expected amount of time it will take the elevator to arrive is 10 seconds.

e. The variance of X is:

Var(X) = E(X^2) - [E(X)]²

We have already found E(X) to be 10. To find E(X²), we integrate x² * f(x) from 0 to 20:

E(X²) = ∫[0,20] x² * f(x) dx = ∫[0,20] x²* 1/20 dx = (1/60) * [x³]₀²⁰ = 200/3

Therefore, the variance of X is:

Var(X) = E(X²) - [E(X)]²= 200/3 - 10² = 200/3 - 100 = 100/3 seconds²

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The two sides of an inequality are not the same so inequality can never be true.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that the inequality is 2(3x - 1) +4> 6x + 2. The inequality will be solved as below;-

2(3x - 1) +4> 6x + 2

6x - 2 + 4 > 6x + 2

6x + 2 > 6x + 2

The two sides are equal so inequality can never be true.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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True. solving quadratic equations by completing the square is a legitimate and commonly used technique in algebra.

This method involves transforming a quadratic equation into a super square form, that could then be effortlessly solved for the variable. The procedure entails including or subtracting a constant term to both sides of the equation to create a perfect rectangular trinomial.

Which may be factored right into a binomial squared. the solution can then be acquired with the aid of taking the square root of both sides and solving for the variable. completing the rectangular is a beneficial method for fixing quadratic equations that can't be factored the usage of other strategies, which includes the quadratic formula.

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There are only one way to pick exactly 6 of the 7 winning numbers without regard to order.

There are "1 to 70 numbers, choose 7 " or 70C7 ways to pick 7 correctly.

AND

you must also pick 1 wrong number.  That wrong number has to be

different from any of the 7 correct numbers, and so there are

40-6 or 34 wrong numbers you could have picked.  That's 34 wrong

numbers, choose 1 or 34C1. Since AND means to multiply, the

numerator is 6C5 X 34C1=204

The denominator is the same 3838380 as in part (A)

So the desired probability is 204 / 38380 = 17 / 319865.

However that's just the probability of winning the $10000.

The words "probability of winning" could be taken as the

probability of winning either $1,000,000 OR $10,000. So

P(winning $1,000,000 OR winning $10,000) and since

"OR" means "ADD", we add the probability found in part A,

so the correct answer is 1 / 38380 + 204 / 38380 = 205 / 3838380

=41 / 767676,

the probability of winning a million or ten thousand.

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The perimeter of the polygon is 250m

A polygon is a closed, straight-sided two-dimensional plane shape in geometry. There are no curves on the polygon's surface. The polygon can be divided into two different types, such as regular polygons and irregular polygons, depending on its sides and angles.

The total of a polygon's sides is referred to as the polygon's perimeter. If a polygon has regular sides, its perimeter may be calculated using the formula Perimeter of Regular Polygon = (Number of Sides) x (Polygonal Side Length) units.

Given the sides of the polygon are 10 m, 55 m, 60 m, 90 m, 20 m and 15 m.

The perimeter of the polygon = sum of all sides

The perimeter of the polygon = 10m + 55m + 60m + 90m + 20m + 15 m.

The perimeter of the polygon = 250m

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Congruent angles simply refer to those angles that are the same size.

The rules for congruent angles with parallel lines and transversal are that the angles must be:

1) Alternate Interior Angles

2) Alternate Exterior Angles

3) Corresponding Angles

4) Vertical Angles.

Now, let us check each option individually:

OPTION A: Angles 1 and 7

Angles 1 and 7 are alternate exterior angles.

Therefore, they are CONGRUENT.

OPTION B: Angles 3 and 5

Angles 3 and 5 are alternate interior angles.

Therefore, they are CONGRUENT.

OPTION C: Angles 4 and 6

Angles 4 and 6 are corresponding angles.

Therefore, they are CONGRUENT.

OPTION D: Angles 2 and 5

Angles 2 and 5 do not have any particular relationship with each other.

Therefore, they are NOT CONGRUENT.

Hence, OPTION D is correct.

Answer:

Yes.

Step-by-step explanation:

This would be an isosceles triangle - with 2 equal sides both 20 long with a base of length 6.

A triangle can be formed from 3 line segments as long as the sum of  the length of any 2 sides exceeds the length of the third side.

Answer:

AB = 5

CD = 5

DA = 3

CB = 3

Step-by-step explanation:

Just count the cubes from one point to the other which gives you the answers I gave above.

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Answer:

There are 14,512 people in the town in 2005.

Step-by-step explanation: