solve for X : 3x²=5x​

The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.

Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).

We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:

P(A | B) = P(B | A) * P(A) / P(B)

where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.

In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.

P(A) can be calculated as follows:

P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3

P(B) can be calculated as follows:

P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3

Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:

P(B | A) = 2.8%

Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:

P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78

So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.

Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

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The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

Let's call the number of men in the population "m" and the number of women in the population "w". We know that m = 2w and that 2.3% of men have night blindness and 2.8% of women have night blindness.

Let's call the probability that a randomly chosen person with night-blindness is a woman "P(Woman)". We want to find the value of P(Woman).

We can use Bayes' Theorem to solve for P(Woman). Bayes' Theorem states that:

P(A | B) = P(B | A) * P(A) / P(B)

where P(A | B) is the probability of event A given that event B has occurred, P(B | A) is the probability of event B given that event A has occurred, P(A) is the probability of event A, and P(B) is the probability of event B.

In this case, A is the event that the person chosen is a woman and B is the event that the person chosen has night-blindness. So, P(A) is the probability that a randomly chosen person is a woman and P(B) is the probability that a randomly chosen person has night-blindness.

P(A) can be calculated as follows:

P(A) = w / (m + w) = w / (2w + w) = w / (3w) = 1/3

P(B) can be calculated as follows:

P(B) = (2.3% * m + 2.8% * w) / (m + w) = (2.3% * 2w + 2.8% * w) / (3w) = (4.6% + 2.8%) * w / (3w) = 7.4% / 3

Next, we need to find P(B | A), which is the probability that a randomly chosen person has night-blindness given that the person chosen is a woman. We know that 2.8% of women have night-blindness, so:

P(B | A) = 2.8%

Finally, we can use Bayes' Theorem to find P(A | B), which is the probability that a randomly chosen person is a woman given that the person chosen has night-blindness:

P(A | B) = P(B | A) * P(A) / P(B) = 2.8% * 1/3 / (7.4% / 3) = 0.28 / 0.074 = 3.78

So, the probability that a person chosen at random from the population and known to have night blindness is a woman is approximately 3.78, or 378%.

Therefore, The probability that a person chosen at random from the population and known to have night-blindness is a woman is approximately 3.78, or 378%.

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Answer:

  (a) more

  (b) less

  (c) more

  (d) greater

  (e) Left to right: Susan, George, Antonio, Maria

Step-by-step explanation:

When a point total is lower, more points are needed to stay in the game.

__

(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.

__

(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.

__

(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.

__

(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.

__

(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.

_____

* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.

The problem is poorly worded. The answer choices above are consistent with the problem statement overall.

Answer:

the slope of these points is 8/3

Answer:

£2.00

Step-by-step explanation:

50p = 1/4

You need to find out what 4/4 equals.

To do this:

50p x 4 = £2.00

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

Answer:

x = 6

Step-by-step explanation:

Solve for x:

11 x + x + 5 = 11 x + 11

Hint: | Add like terms in 11 x + x + 5.

x + 11 x = 12 x:

12 x + 5 = 11 x + 11

Hint: | Move terms with x to the left hand side.

Subtract 11 x from both sides:

(12 x - 11 x) + 5 = (11 x - 11 x) + 11

Hint: | Combine like terms in 12 x - 11 x.

12 x - 11 x = x:

x + 5 = (11 x - 11 x) + 11

Hint: | Look for the difference of two identical terms.

11 x - 11 x = 0:

x + 5 = 11

Hint: | Isolate terms with x to the left hand side.

Subtract 5 from both sides:

x + (5 - 5) = 11 - 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 11 - 5

Hint: | Evaluate 11 - 5.

11 - 5 = 6:

Answer: x = 6

Answer:

x = 6

Step-by-step explanation:

5 + x + 11x = 11x + 11

5 + 12x = 11x + 11

5 + 1x = 11

1x = 6

x = 6

The equation that models this situation is z = 7.9y + 12.

A linear equation is a function that has a single variable raised to the power of 1.  An example is x = 4y + 2.

Where:

From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.

z = 7.9y + 12

Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.

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Answer:

The answer is:

\(l=\dfrac{S-\pi r^2}{\pi }\)

Step-by-step explanation:

In order to determine the solution for I, we have to know about the equations.

In any equation there are variables. If we want to determine the value of one of them, we have to free that variable in any side of the equation.

Regarding the surface of a cone, i have attached an image that shows the real formula of the surface of a cone, We can see that in this case:

\(l=rI\)

So, we have the next formula and we want to l:

\(S=\pi l+\pi r^2\)

\(S-\pi r^2=\pi l\)

\(\dfrac{S-\pi r^2}{\pi }=l\)

Finally the solution for I is:

\(l=\dfrac{S-\pi r^2}{\pi }\)

It would grow by approximately 1.6668 inches to 1.2504 inches

In Lixue's garden, the green pepper plants grew 5 inches in 3-4 months. To find out how many feet they can grow in one month, we can use the given information.

Let's start by converting the inches to feet. Since there are 12 inches in a foot, we divide 5 inches by 12 to get the equivalent in feet: 5 inches ÷ 12 = 0.4167 feet (rounded to four decimal places).

Now, we need to determine how much they can grow in one month. Since the plants grew 0.4167 feet in 3-4 months, we divide this amount by the number of months to find their average monthly growth.

If we assume that the plants grew 0.4167 feet in 3 months, their monthly growth rate would be 0.4167 feet ÷ 3 months = 0.1389 feet per month (rounded to four decimal places).

If we assume that the plants grew 0.4167 feet in 4 months, their monthly growth rate would be 0.4167 feet ÷ 4 months = 0.1042 feet per month (rounded to four decimal places).

Therefore, based on the given information, the green pepper plants can grow approximately 0.1389 feet to 0.1042 feet in one month, depending on whether we consider a 3-month or 4-month timeframe.

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Answer:

The sisters will spend a total of $240 on their mom for Christmas.

Step-by-step explanation:

$60 x 4 (sisters) = $240

Answer:

y = -1/3x - 5

Step-by-step explanation:

Use rise over run to find the slope: (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-7 + 3) / (6 + 6)

-4 / 12

= -1/3

Plug in the slope and a point into y = mx + b, and solve for b:

y = mx + b

-3 = -1/3(-6) + b

-3 = 2 + b

-5 = b

Plug in the slope and b into y = mx + b

y = -1/3x - 5 is the equation of the line

It would take him 11 days to travel 462 leagues

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

Apollo traveled 84 leagues in 6 days.

So, the speed is

Speed = 84/6

When tripled, we have

New speed = 84/6 * 3

Evaluate

New speed = 42

For 462 leagues, we have

Time = 462/42

Evaluate

Time = 11 days

Hence, teh time taken is 11 days

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Answer:

-1.25

Step-by-step explanation:

y=-1.25x+66.25

Answer:

34.8°

Step-by-step explanation:

sin x = 8/14 = 4/7

x = arcsin (4/7) = 34.8°

Hey there!

4x^2 - 121 + 5 = 0

COMBINE your LIKE TERMS

(4x^2) (-121 + 5) = (0)

(-121 + 5) = -116

New equation: 4x^2 - 116 = 0

ADD 116 to BOTH SIDES

4x^2 - 116 + 116 = 0 + 116

Cancel out: -116 + 116 because that gives you 0

Keep: 0 + 116 because that helps you solve for x

0 + 116 = 116

New equation: 4x^2 = 116

DIVIDE 4 to both sides

4x^2/4 = 116/4

Cancel out: 4/4 because that gives you 1

Keep: 116/4 because that helps you solve for x

Equation: x^2 = ± 116/4

116/4 = 29

Answer: x = √29 OR x = √-29

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Here are your Explanations

Step 1

4x2 – 121 + 5 = 0  obsere the questions

Step 2

4x2 – 121 + 5 = 0  Simplify

4x2−116=0

Step 3

4x2−116=0  Add 116 to the sides

4x2=116

Step 4

4x2=116  Divide the sides by 4

x=29  Then you take the square root

Answer : sqrt29 or -sqrt29

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

x = 145.2

Step-by-step explanation:

Convert 15.3 ft to inches = 183.6

Exquation:

183.6 - x = 38.4

-x = 38.4 - 183.6

-x = -145.2

x = 145.2

Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)

And he was faster by 30 minutes...

This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)

Answer:

17/6

Step-by-step explanation:

if u need a mixed number do it urself

The Expression which is Equivalent to  \(5^{36}/5^4\) is \(5^{32\).

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

We have \(5^{36}/5^4\).

Using the Property of Exponents

\(a^m/ a^n = a^ {m-n\)

Here a= 5

m = 36

and, n= 4

So, substituting the values in Property we have

\(5^{36}/5^4\)

= \(5^{36-4\)

= \(5^{32\)

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Answer:

$58.8 million

Step-by-step explanation:

43% of x = 25.3 million

.43x = 25300000

x = 25300000 ÷ .43

x = 58837209.30

x = 58.8 million

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

The value of  cos 45° in the given triangle is 1/√2, Option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given right triangle the hypotenuse is 8√2

In the given triangle the two legs are equal.

Let x be the length of the two legs

By Pythagoras theorem, let us find the length of a leg.

x²+x²=(8√2)²

2x²=64(2)

2x²=128

Divide both sides by 2

x²=64

Take square root on both sides

x=8

Now let us find the cosine function, the ratio of adjacent side and hypotenuse

cos45 = 8/8√2

=1/√2

Hence, the value of  cos 45° in the given triangle is 1/√2, Option C is correct.

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Answer: C

Step-by-step explanation:

For the parallelogram to be a square, all sides must have equal measure and all angles must be right.

This means that CD=AD -> 20=8x-4 -> 24=8x -> x=3

And 4y-3=45 -> 4y=48 -> y=12

It is uncertain whether the corresponding 98% CI (Confidence interval), using the same data will contain zero. It is Possible that the new 95% CI will not contain zero due to different data, or still contain zero depending on data and distribution.

It is not possible to determine with certainty whether the corresponding 98% confidence interval (CI) will contain the number zero without knowing the underlying distribution and the sample size. However, it is possible for the 98% CI to not contain the number zero, even if the 95% CI did contain the number zero.

This is because the 98% CI will be wider than the 95% CI, and therefore, it is possible for the range of values to exclude the number zero.

If new data is collected and a 95% CI is constructed using this data, it is possible that the interval will not contain the number zero, even if the previous 95% CI did contain the number zero. This is because the new data may provide a different estimate of the population mean, resulting in a different confidence interval.

However, it is also possible that the new 95% CI will still contain the number zero, depending on the new data and the underlying distribution.

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Answer:

initial value = 3  

 multiplier =4  

     # after 14 days = 3 * 4^(14-1)

        201 326592 beeltes      

Step-by-step explanation:

14 days     day 1 = 3 beetles

start with 3     quadruple it  = 12

3 *4   on day 2

3 *4 *4    on day 3

.

.

.

3 * 4^(14-1)     = beetles on day 14   = a lot of beetles = 201 326 592   !

The critical value for this two-tailed test is 2.6759.

To conduct a two-tailed test at the 0.01 level of significance with a sample of 55 observations, we use the t-distribution because the population standard deviation is unknown. The critical value is determined by dividing the significance level (0.01) by 2 to account for both tails of the distribution. This gives an alpha level of 0.005. Using the degrees of freedom for a sample of size 55 (54 degrees of freedom), we find the corresponding critical value from a t-distribution table or calculator. In this case, the critical value is approximately 2.6759 when rounded to four decimal places.Since the population standard deviation is unknown, we'll use the t-distribution instead of the standard normal distribution. The degrees of freedom for a sample of size 55 is 54. Using a t-distribution table or a statistical calculator, the critical value for an alpha level of 0.005 and 54 degrees of freedom is approximately 2.6759 (rounded to four decimal places).

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\(\huge\sf{Answer :- }\)

Exterior angle of the polygon = ( 360/ n )°

where,

➙ ( 360/ 20 )°

➥ 18°

Answer:

answer of this qn will 360÷20= 18degree

The volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

Let the side length of a cube is 1unit.

Therefore length of all edges of the regular octahedron =2√2 unit .

Now the base of the pyramids is a square are will be (2√2)² =12 unit.

Now clearly the height of the pyramid is half the height of the cube, i.e.,1/2.

So volume of the Pyramid will be ⇒ 1/3× (Base area) × (height) = 1/3×1/2×1/2 = 1/12.

Therefore, the volume of the octahedron= 2 × volume of Pyramid= 2 ×1/12=1/6 unit³.

Hence, the volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

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