Help with geometry homework

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

Step-by-step explanation:

The angle framed by the line of sight and the horizontal (line from observer and object vertical point) is known as angle of elevation. It can be estimated from the known values of height and distance of the object. In other words, Angles of elevation or inclination are angles above the horizontal

Answer:

The human body contains trillions of microorganisms — outnumbering human cells by 10 to 1. Because of their small size, however, microorganisms make up only about 1 to 3 percent of the body's mass (in a 200-pound adult, that's 2 to 6 pounds of bacteria), but play a vital role in human health.

Step-by-step explanation:

I got it right .

Hope this helps <3 .

Answer: +7

Step-by-step explanation: Since a negative divided

by a negative always equals a positive, (-28) ÷ (-4) = +7

7

when a negative number is divided by another negative, they give a positive number

The angle measure of arc AC at the center of the circle is; 21°

From the task content;

It follows that from circle theorems that; The angle subtended by an arc at the center of a circle is twice that which it subtends at the circumference.

Hence;

x = 4.

By substituting x= 4 into the expression; (3x +9)°

Hence, the angle subtended at the center of the circle is; 12+9 = 21°.

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Answer:

72

Step-by-step explanation:

Corresponding angles on parallel lines always have the same measure.

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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we have

Multiply them together you get

But since all 4 characters cannot be the same, we subtract 8 from 512

answer: 504 combinations

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

The probability of getting a 10 or a jack from a deck of poker cards (52 cards) is 15.38%.

Probability is concerning about numerical description  

Is how likely is an event is occur or how likely it is true.

As per the given sequence -

there are four 10 cards and  four jack cards respectively

4+4=8

If you want to get one from the  52 cards, so it's 8 out of 52. 8/52

To calculate the percentage, you must  multiply 8 by 100, then divide by 52.

Thus,

8*100/52=15.38

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Answer:

A) y<-2x-1

Step-by-step explanation:

The graph shows y as less than -2x-1, without including it.

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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Answer:

85?

Step-by-step explanation:

1008/12 =85  (amount per year/ 12 months) unless it is more complicated than that

We want to get the equation on the graphed line.

The equation of the line is: y = 8*x - 9

Then the line is something like:

y = 8*x + b

To find the value of b, we can use one of the two points we got above.

The point (0, -9) means that when x = 0, y is equal to -9, then we can write:

-9 = 8*0 + b

-9 = b

Finally, the equation of the line is:

y = 8*x - 9

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Answer:

c. X= {0,1,3}

Step-by-step explanation:

We have these possible outcomes:

None assigned to their favorite cities.

One assigned to their favorite city(The other two are assigned to the other's favorite city).

All are assigned to their favorite city.

Why is two not possible?

If two peooke are assigned to their favorite city, the third person necessary has to be assigned to their favorite city, as it will be the only option remaining.

So the correct answer is given by option c.

The distance that the student can travel in "t" hours if the speed is constant is:

distance = (2 mi/h)*t

Here we need to remember the relation between time, distance, and speed:

distance = time*speed.

Solving for speed, we will get:

Speed = distance/time

Here, we know that the student can travel 1/2 of a mile in 1/4 of an hour, then we have:

With that, we can find the speed:

speed = (1/2 of a mile)/(1/4 of an hour) = 2 miles per hour.

Then the distance that the student can paddle in "t" hours is written as:

distance = (2 mi/h)*t

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Onto but not one-to-one. is f(x)  which is obtained by removing the second bit from x and placing the bit at the end of the string.

The function f is said to be "onto" because it maps every element in its codomain (the set of possible output values) to at least one element in its domain (the set of possible input values). In this case, the codomain is the set of all binary strings of length 3, and the domain is the set of all binary strings of length 2. However, the function is not one-to-one, because there are multiple elements in the domain that are mapped to the same element in the codomain. For example, both "10" and "01" are mapped to "100". This means that the function f is not one-to-one, meaning that it doesn't map every element in its domain to a unique element in its codomain. A function is said to be one-to-one if every element in its domain (the set of possible input values) is mapped to a unique element in its codomain (the set of possible output values). In other words, no two elements in the domain have the same image (output) under the function. A function is said to be onto if every element in the codomain is mapped to by at least one element in the domain. In other words, every element in the codomain has at least one pre-image (input) under the function. In the case of the function f described in the previous question, it is onto because every binary string of length 3 can be obtained as the output of the function for some binary string of length 2. However, it is not one-to-one because there are multiple binary strings of length 2 that are mapped to the same binary string of length 3. For example, both "10" and "01" are mapped to "100".

So, the function f is described as "onto but not one-to-one".

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Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

Frank used up a total of 156 minutes

The parent function of the transformed function is y = f ( x ) = x

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

The transformed function is represented as y

where y = 2 ( x - 5 )

On simplifying , we get

y = 2( x - 10 )

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

The function is shifted horizontally left by 10 units and multiplied by a scale factor of 2 units.

Hence , the parent function is f ( x ) = x

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Answer: 35

Step-by-step explanation:

7 x 5 is 35 and even though there are negatives 2 negatives form a positive

Answer:

ans: 480

Step-by-step explanation:

\(a \times b \times c = abc\)

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

The sale price of the shoe is given as follows:

P3,436.

The sale price of the shoe is obtained applying the proportions in the context of the problem.

The initial price is of:

P 4,295.

The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:

0.8 x 4295 = P3,436.

The problem asks for the selling price of the shoe.

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Answer:

Step-by-step explanation:

x + 5 = 20

x = 15

Answer:

x=15

Step-by-step explanation:

We are given the equation:

\(\frac{1}{4} = \frac{5}{x+5}\)

We want to solve for x. Therefore, we must isolate x on one side of the equation.

Let's begin by cross multiplying. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.

\(1(x+5)=(4*5)\)

\(x+5=(4*5)\)

\(x+5=20\)

5 is being added to x. The inverse of addition is subtraction, so subtract 5 from both sides of the equation.

\(x+5-5=20-5\)

\(x=20-5\)

\(x=15\)

Let's check our solution. Plug 15 in for x.

\(\frac{1}{4} = \frac{5}{x+5}\)

\(\frac{1}{4} = \frac{5}{15+5}\)

\(\frac{1}{4} = \frac{5}{20}\)

\(\frac{1}{4} = \frac{5/5}{20/5}\)

\(\frac{1}{4} = \frac{1}{4}\)

Our solution checks out, so we know it is correct.

The solution to this equation is x=15

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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