To the nearest hundredth, what is the value of x?
36.08
41.51
47.81
72.88

The result follows from manipulating the conditional probability. By definition,

[tex]P(A_1\mid B)=\dfrac{P(A_1\cap B)}{P(B)}=\dfrac{P(B\mid A_1)P(A_1)}{P(B)}[/tex]

[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{P(B)}[/tex]

By the law of total probability,

[tex]P(B)=P(B\cap A_1)+P(B\cap A_2)=P(B\mid A_1)P(A_1)+P(B\mid A_2)P(A_2)[/tex]

So we have

[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{0.05\cdot0.60+0.10\cdot0.40}\approx0.4286[/tex]

the probability P(A1 | B) is approximately 0.42857

Bayes’ theorem formula is:

[tex]P(A1 | B) = \frac{[P(B | A1) \times P(A1)]}{P(B)}[/tex]

We first need to calculate P(B):

[tex]P(B) = P(B | A1) \times P(A1) + P(B | A2) \times P(A2)[/tex]

Substitute the given values:

[tex]P(B) = 0.05 \times 0.60 + 0.10 \times 0.40\\\\P(B) = 0.03 + 0.04\\\\P(B) = 0.07[/tex]

Next we use Bayes' theorem to find P(A1 | B):

[tex]P(A1 | B) = \frac{[0.05 \times 0.60]}{0.07}\\\\P(A1 | B) = \frac{0.03}{0.07}\\\\P(A1 | B) \approx 0.42857[/tex]

Therefore, the probability P(A1 | B) is approximately 0.42857.

Answer: Third option

[tex]P = 0.354[/tex]

Step-by-step explanation:

We have an elevator with 5 men and 7 women. We want to find the probability that 3 women and one man will come down from the elevator.

To calculate this probability we can use combinations.

The formula of combinations is:

[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]

Where you can choose between n people and choose r from them.

First we calculate all the possible results of the experiment.

That is, the amount of ways to select 4 people from a group of 12 people.

[tex]12C4 = \frac{12!}{4!(12-4)!} = 495[/tex]

There are 495 results.

Now we calculate the possible number of ways to obtain the desired result, that is 3 women and one man.

The possible combinations of selecting 3 women from a group of 7 is.

[tex]7C3 = \frac{7!}{3!(7-3)!} = 35[/tex].

The possible combinations of selecting 1 a man from a group of 5 is

[tex]5C1 = \frac{5!}{1!(5-1)!} = 5[/tex]

Then the number of ways in which 3 women and one man can be obtained is:

[tex]7C3 * 5C1 = 35 * 5 = 175[/tex]

Finally the probability is:

P = Number of ways to obtain the desired result ÷ possible number of results

[tex]P = \frac{7C3 * 5C1}{12C4}\\\\P = \frac{175}{495}[/tex]

[tex]P = 0.354[/tex]

Answer:

The explicit formula

[tex]a_n = 3 +0.25 (n-1)[/tex]

The recursive formula

[tex]a_1 = 3[/tex]                            for [tex]n=1[/tex]

[tex]a_n = a_ {(n-1)} +0.25[/tex]     if [tex]n>1[/tex]

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

[tex]3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25[/tex]

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

[tex]a_n = a_1 + d (n-1)[/tex]

Where d is the constant difference between the terms.

[tex]d = 0.25[/tex]

[tex]a_1[/tex] is the first term of the sequence.

[tex]a_1 = 3[/tex]

So

[tex]a_n = 3 +0.25 (n-1)[/tex]

Finally, the recursive formula is:

[tex]a_1 = 3\\\\a_n = a_ {(n-1)} +0.25[/tex]

Answer:1:15 P.M

Step-by-step explanation:just substract it 230-115 and you get your time

If she rode for 1.5 hours and caught a flat @ 2:30 pm she had to have started at 1:15

answer is 13 but I can't understand the question

I think there is no correct answer in this question!

you can solve this by analytic geometry rules easily!!

Answer:

Angle C=35 degrees

Step-by-step explanation:

Angle C is an external angle. So, we can use the external angle theorem and get the equation

Angle C= 1/2(100-30)

Angle C=1/2(70)

Angle C=35 degrees

Answer:

35

Step-by-step explanation:

<C = 1/2 (large arc - small arc)

<C = 1/2 (100-30)

     =1/2(70)

       = 35

Answer:

56.5

Step-by-step explanation:

The length of the paper around the can is equal the circumference of the base.

Circumference = πd

Circumference = 3.14 * 4

Circumference = 12.56

And since the height is 4.5 (which is also the width of the paper if you unwrap it), Multiply the circumference by 4.5.

12.56 * 4.5

= 56.52

Final answer:

1. The number of students reading all three subjects is 3.

2. Those reading finance only is 7.

3. Those who read marketing and finance only is 4.

4. In total, there are 36 students.

Explanation:

To solve this Venn diagram problem involving students reading different subjects, let's take a methodical approach.

W=500lb

m=?

W=mg(m=W÷g)

500=m×10

500÷10=m

50=m

In the English Engineering system, the unit slug is used to measure mass. The mass of an object in slugs can be calculated by dividing its weight in pounds (lb) by the acceleration due to gravity (32.2 [tex]ft/s^2[/tex]). Therefore, a body weighing 500 lb would have a mass of about 15.53 slugs.

In physics, the unit slug is used in the English Engineering system where force is expressed in pounds (lb). The relationship between slug and lb is tied to the acceleration due to gravity on Earth which is approximately 32.2 [tex]ft/s^2[/tex]. To convert the weight of an object in lb to its mass in slugs you divide the weight by the acceleration due to gravity.

Thus, if an object weighs 500 lb, its mass in slugs can be found by dividing 500 lb by 32.2 [tex]ft/s^2[/tex]. So, the equation is:

Mass = 500 lb / 32.2 [tex]ft/s^2[/tex] = 15.53 slugs

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The answer to this equation would be:

C=0

Answer:c=0

Step-by-step explanation:

Answer:

The correct option is b $81.00

Step-by-step explanation:

Interest earned can be found simply by multiplying the interest rate into the principal amount.

Our Interest rate is = 3%

and principal amount = $2,700

Interest earned = $2700 * 3/100

Interest earned =$ 81

So, the correct option is b $81.00.

Answer:

$ 81.00.

Step-by-step explanation:

Simplify -5 + 9 to 4

4 > 44

Since 4 > 44 is false, there is no solution.

= No solution

Answer:

B

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = base × perpendicular height

base = DC = 4 and height = DB = 5, thus

A = 4 × 5 = 20 units² → B

The area of the parallelogram is 20 square units.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know, The area of a parallelogram is 2×(1/2)×base×height, As a parallelogram can be divided into two congruent triangles.

From the given information, If we draw an altitude to it will of 5 units and the base of the parallelogram is 4 units.

Therefore, The area of the parallelogram is, (5×4) = 20 square units.

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Answer:

- [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ - 4, 1 ]

f(b) = f(1) = - 4 ← value from graph

f(a) = f(- 4) = 0 ← value from graph

Hence

average rate of change = [tex]\frac{-4-0}{1-(-4)}[/tex] = - [tex]\frac{4}{5}[/tex]

The average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

f(-4) = 0

f(1) = -4

Average rate of change of a function = (-4-0)/(1-(-4))

= -4/5

Thus, the average rate of change of a function is -4/5 from x=-4 to x=1 function is decreasing.

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Answer:

10+4x=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

26-10 ÷ 4 = X

   ∨

  16 ÷ 4 = X

     x= 4

you can only rent the bike for 4 hours.

your down payment is $10 so you subtract it form the money you have now you are left with $16 dollars you divide it by four becuase 4 x 4 is 16 there for you know you can only go for 4 hours

Answer:

I think

"Quadriplegia" would go with a "spinal cord injury".

Quadriplegia is a spinal cord injury that causes you to lose feelings in all four limbs.

A "knee injury" would go with "Limited ability to walk and run."

"Headaches" with "traumatic brain injury."

Hope this helps!

Answer:

Quadriplegia-Spinal cord injury

Headaches-Traumatic brain injury

Limited ability to walk and run-Knee injury

Step-by-step explanation:

Quadriplegia is the state in which a person can´t move any of its extremities, this is often cause by an accident to the spinal cord and it causes the nerves that connect the brain and the muscles in the bosy to stop functioning properly.

Headaches can be the consequence of a traumatic brain injury that didn´t healed well.

A knee injury often has as result the limited ability to walk and run.

Answer:

600

Step-by-step explanation:

200*3=600

Answer:

600 cocoa beans

Step-by-step explanation:

1×3=3, 200×3= 600

I got 224. 7(4)^2 = 112 •2 =224

Answer:

I believe A

Hope This Helps!  Have A Nice Day!!

Answer:

A.

Step-by-step explanation:

In my opinion the best one is A cause it just fits the best if you draw the line.

hope this halps :D

Answer:

A complementary angle is two angles whose sum add up to 90°

Step-by-step explanation:

To find x you have to add both angles.

x + 22° + x° = 90°

(x + x) + 22 = 90

Combine like terms.

2x + 22 = 90

Subtract 22 from both sides

2x = 68

Divide both sides by 2

x = 34

The value of x is 34°

Answer:

a(n) = 27*(2/3)^(n - 1)

Step-by-step explanation:

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r, and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is

a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)

Answer:

The sequence is A(n) = 27*(1.5)^(n-1)

Step-by-step explanation:

First, we need to see which type of sequence we have:

Differences:

27 - 18 = 9

18 - 12 = 6

the differences are different, let's try with the ratios.

27/18 = 1.5

18/12 = 1.5

12/8 = 1.5

So we have that this ratio is constant, then the sequence can be:

A(n) = 27*(1.5)^(n-1)

For n an integger number

where:

A(0) = 27*1.5^0 = 27

A(1) = 27*1.5^1 = 18

A(2) = 27*1.5^2 = 12

A(3) = 27*1.5^3 = 8

This is the graph of x-2y=5 start by writing it into y=mx+b format then plug in numbers for x then graph!

Answer:

75%

Step-by-step explanation:

Because if 10 is half and 5 is half of 10 its 75%

Jane has saved 75% of the radio cost

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.

The radio Jane wants to purchase costs $20 but she has saved only $15. The fraction of the amount Jane has saved to the total cost of the radio is [tex]\frac{15}{20}[/tex]. This fraction would have to multiplied by 100 to convert it to a percentage.

Percentage of the radio cost she has saved = (amount Jane has saved / cost of the radio) x 100

[tex]\frac{15}{20}[/tex] x 100 = 75%

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Answer:

last one

Step-by-step explanation:

Answer:

The second graph.

Step-by-step explanation:

The graph is the only possible answer. In the table, both values are shown to be rising, the second graph is the only one with both increasing values.

In the first one, only D is rising

In the third, only C is increasing

In the last, d is decreasing while C is increasing.

Which only leaves the second option.

Answer:

true

Step-by-step explanation:

The exponential function is defined as y = a(1+r)^x, where "a" represents the original account and "r" the rate of growth or decay.

Then we have the following:

1) 22% grow

y = a( 1 + 22%/100 )^x = a(1.22)^x

So the solution is: 124(1.22)^x

2) 12% decay

y = a( 1 - 12%/100 )^x = a(0.88)^x

So the solution is: y = f(x) = 44(0.88)^x

3) 20% decay

y = a( 1 - 20%/100 )^x = a(0.8)^x

So the solution is: f(x) = 22(0.8)

4) 12% Groth

y = a( 1 + 12%/100 )^x = a(1.12)^x

So the solution is: f(x) = 42(1.12)^x

Final answer:

Each exponential function is matched to its percent rate of change by the base of the exponent; a base greater than 1 indicates growth, while a base less than 1 indicates decay.

Explanation:

The question involves matching each exponential function to its corresponding percent rate of change, which indicates whether there is exponential growth or decay. The base of the exponent in the function represents the rate of change: a base greater than 1 indicates growth, while a base less than 1 indicates decay. Here's how we match the given functions:

f(x) = 44[tex](0.88)^x[/tex] corresponds to 12% decay because 0.88 represents a decay rate of 12%.

f(x) = 124[tex](1.22)^x[/tex] corresponds to 22% growth because 1.22 represents a growth rate of 22%.

f(x) = 22[tex](0.8)^x[/tex] corresponds to 20% decay because 0.8 represents a decay rate of 20%.

f(x) = 42[tex](1.12)^x[/tex] corresponds to 12% growth because 1.12 represents a growth rate of 12%.

By recognizing the base of the exponential function, we can determine the percentage rate of change and appropriately classify each function as either exponential growth or decay.

Answer:

I'm really sorry I can't tell you the answer because you have to measure the angle by yourself using a protractor. But I gave you information about types of angles if you got the degree of angles ( e.g 90 degrees). Hope it helped.

Step-by-step explanation:

acute angle-an angle between 0 and 90 degrees  

right angle-an 90 degree angle  

obtuse angle-an angle between 90 and 180 degrees  

straight angle-a 180 degree angle  

For this case we have that by definition:

Sharp angle: It is less than 90 degrees.

Flat angle: Measures 180 degrees.

Obtuse angle: Measures more than 90 degrees

The figure shows a pair of angles, each measuring 77 degrees. Now they enter the definition of acute angles.

To find the angle CEB we subtract:

[tex]180-77 = 103[/tex] degrees

This is the same measure of angle AED.

These would be obtuse angles.

Answer:

Sharp angles (77 degrees)

Obtuse angles (103 degrees)

Please give brainliest!

Answer: The answer to the first one is 99m. The answer to the second one is 62cm.

Step-by-step explanation: You would multiply 63 by 2 to get 126. You would subtract 126 from 324 to get 198. Then you would divide 198 by 2 which would equal 99 which is your answer.

You would divide 5828 by 94 to get 62 wich would be your answer.

Hope this helps!

Have a blessed day :)

Which one? The fractions to the right?

Answer:

1.The labels are switched.

2.The "partly cloudy" bar is the wrong length.

3.The "cloudy" bar is the wrong length

Step-by-step explanation:

In the bar graph, the labels are switched.The lable for the horizontal axis should read -----number of days------ and the label for the vertaical axis should read----type of weather----

The scale of the bar graph is good, where a unit distance in the x-axis represent a single day.However, the length for party cloudy is indicated as 7 instead of 8. This is wrong length. Similar mistake is observed in the length for cloudy which is indicated as 6 in the graph instead of 5 as shown in the table.

Answer:

1.The labels are switched.

2.The "partly cloudy" bar is the wrong length.

3.The "cloudy" bar is the wrong length

Step-by-step explanation: