Please help me!!!!!

Answer:

1. C. 54

2. C. 9

Step-by-step explanation:

1.  BE = BG + GE

This means BE > BG  ==> BE > 36

Hence, the answer is C since C=54 is the option that is greater than BG=36.

2.

BE = BG + GE

54 = 36 + (3x - 9)  ==> plug in known values

54 = 36 + 3x - 9

54 = 36 - 9 + 3x  ==> simplify

54 = 27 + 3x

54 - 27 = 27 - 27 + 3x  ==> subtract 27 on both sides to isolate x

27 = 3x

x = 27/3  ==> simplify

x = 9  ==> C

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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Answer:

There would be points in the following coordinates:

(3, -6); (1, -5); (2, -8); & (-1,-7).

Step-by-step explanation:

Answer:

The shape of an object looks the same when an object is rotated on it's own axis

Answer:

x=7

Explanation:

-3 1/4x+25= 2 1/4x-13 1/2

25=5 1/2x-13 1/2

38 1/2=5 1/2x

7=x

Answer: yes

Step-by-step explanation:

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

\(x = 19\)

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

\(Sum=180(n-2)\)

Sides of a dodecagon is 12; So, we have:

\(Sum=180(12-2)\)

\(Sum=180(10)\)

\(Sum=1800\)

Each angle is gotten by dividing 1800 by 12

\(Angle = \frac{1800}{12}\)

\(Angle = 150\)

Equate this to 8x - 2:

\(8x - 2 = 150\)

Solve for x

\(8x = 150 + 2\)

\(8x = 152\)

\(x = 152/8\)

\(x = 19\)

To determine if a number does satisfy an equation, we need to substitute it and perform the needed calculation.

By substituting and performing the calculation in the present question, we have:

Because we found the equation becomes a true statement when substituting x = 5, it means that: YES, X = 5 DOES SATISFY THE GIVEN EQUATION!

Answer:

h≤48   h≥30

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

I dont think I need to explain,

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

x = 4 and x = -4

x = 1 and x = -1

Step-by-step explanation:

let u = x^2

Then,

u^2-5u+4 = 0

(u - 4)(u - 1) = 0

u = 4 and u = 1

we substitute back for u

Then,

x^2 = 4

x = 4 and x = -4

x^2 = 1

x = 1 and x = -1

The solutions to the equation x⁴ - 5x² + 4 = 0 are x = ±2 and x = ±1.

To solve the equation x⁴ - 5x² + 4 = 0, we can use substitution to simplify it.

Let's take a new variable, u = x².

Substituting u into the equation, we get:

u² - 5u + 4 = 0

Now, we can factor this quadratic equation:

(u - 4)(u - 1) = 0

Setting each factor equal to zero, we have:

u - 4 = 0 or u - 1 = 0

Solving for u in each case:

u = 4 or u = 1

Now, we substitute back the original variable x:

For u = 4:

x² = 4

Taking the square root of both sides:

x = ±2

For u = 1:

x² = 1

Taking the square root of both sides:

x = ±1

Therefore, the solutions to the equation x⁴ - 5x² + 4 = 0 are x = ±2 and x = ±1.

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Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

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Answer:

Check the answer. 1. ... 5 times a number plus 8 is equal to 3 times the number minus 4. 7 times a ... Twice a number is equal to 5 times the sum of the number and 6. The product ... If the equation is an identity, write the answer as “All real numbers.

Step-by-step explanation:

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

75%

Step-by-step explanation:

You turn the information into a fraction which is 15/20.

20x 5= 100, and everything you do in the bottom you have to do the top and 15 times 5 is 75.

Hope it helps

Answer:9800

Step-by-step explanation:

490        5

_____=______

x            100

490(100)=x(5)

49000=5x

__________

5             5

x=9800

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Answer:V=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12v+10v+14=80

(12v+10v)+(14)=80

(Combine Like Terms)

22v+14=80

22v+14=80

Step 2: Subtract 14 from both sides.

22v+14−14=80−14

22v=66

Step 3: Divide both sides by 22.

22v/22=66/22

V=3

:)

Answer:

Negative

Step-by-step explanation:

Because below 0 which is sea level is negtive above is positive

Answer:

Negative

Step-by-step explanation:

Sea level is usually considered 0

Answer:

$269.49

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 349.99 × 23/100

Discount = 349.99 x 0.23

You save = $80.50

Final Price = Original Price - Discount

Final Price = 349.99 - 80.4977

Final Price = $269.49

The cost function is an illustration of an exponential growth function, and as such the price of product A is increasing

The cost function of product A is given as:

\(C(x) = 72(1.25)^x\)

An exponential function is represented as:

\(C(x) =ab^x\)

Where b is the rate of the function.

When b exceeds 1, then the function represents growth and the value of the function increases.

Hence, the price of product A is increasing

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Answer:

Yes, it is realistic to have 3 owners that spend 720$ a year on their pets

Step-by-step explanation:

See graph

Answer:

0

Hope I helped

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

C(a + b) = f + d

a + b = (f + d)/C

a = (f + d)/C - b

Answer:

90

Step-by-step explanation: