Can some help me with this problem

Since M and N are independent events, [tex]P(M)=P(M|N)=0.71[/tex]

Step-by-step explanation:

Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.

In other word, this condition can be rewrite as follows:

[tex]P(A|B)=P(A)[/tex]

where

[tex]P(A|B)[/tex] is the probability of A happening  given that B has happened

[tex]P(A)[/tex] is the probability of A happening

In this problem, we have:

- M and N are independent events: so M does not depend on whether N occurs or not

Therefore,

[tex]P(M)=P(M|N)[/tex]

- Also, we know that

[tex]P(M|N)=0.71[/tex]

Therefore, it follows that

[tex]P(M)=0.71[/tex]

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Answer:

The value of the annuity in 10 years will be US$ 15,552.90

Step-by-step explanation:

Let's use the ordinary simple annuity formula to calculate the value of the annuity in 10 years, this way:

FV = Future value of an annuity stream

PMT = Dollar amount of each annuity payment  = US% 50

r = Interest rate = 3.5% compounded biweekly = 0.035/26

n = Number of periods in which payments will be made  = 26 * 10 = 260

FV = PMT * [(1 + r)ⁿ  − 1]/r

Now, replacing with the real values, we have:

FV = 50 *  [(1 + 0.035/26)²⁶⁰  − 1]/(0.035/26)

FV = 50 *  [(1.001346154)²⁶⁰  − 1]/0.001346154

FV = 50 * 0.41873217/0.001346154

FV = 50 * 311.058148

FV = 15,552.90

We only rounded the last product to the next cent, in all the other cases we used all the decimals for the calculations.

Answer:

-5x³ -5x² -9x - 4

Step-by-step explanation:

(-6x³-4x²-8)+(x³-x²-9x+4)

Add the like terms.

-6x³ and x³ are like terms. -6x³ + x³ = -5x³

-4x² and -x² are like terms. -4x² - x² = -5x²

-8 and 4 are like terms. -8 + 4 = -4

-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4

Answer: The answer is....I don't remember how to do this sort of problem...... sorry.....

Step-by-step explanation: So the three angles of a triangle equal to 180°.

First you have to find the angle that's missing besides "m"

Second add together the two angles you have.

Then You subtract the sum from 180.

Finally you have your answer.

Answer:

103

Step-by-step explanation:

You start with long division 4 goes into 4 1 time and then 0 cause you have nothing else drop the 12 and then 4 goes into 12 3 times 103

Answer:

103

Step-by-step explanation:

If you solve it using partial quotients, it would be eaisier to demonstrate than using another method like standard division.

Hope this helps!

-Coconut;)

Answer:

The maximum amount that the company X can borrow is $ 145,000

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Current ratio of assets/liabilities = 2.9

Current assets = $ 377,000

Current liabilities = Currents assets/Ratio = 377,000/2.9 = $ 130,000

2. The board of directors determines that the current ratio must never be below 2.6. What is the maximum amount that the company can borrow?

Desired ratio of assets/liabilities = 2.6

Current assets = $ 377,000

Desired liabilities = $ Current assets/Ratio = 377,000/2.6 = $ 145,000

The maximum amount that the company X can borrow is $ 145,000

Answer:

Answer:Let's solve your equation step-by-step.

Step 1:

13x+8−5x=5x−5x

8x+8=0

Step 2: Subtract 8 from both sides.

8x+8−8=0−8

8x=−8

Step 3: Divide both sides by 8.

8x

8

=

−8

8

x=−1

Answer:

x=−1

Answer:

the solution of given problem is x= -1

Step-by-step explanation:

step:-1

given equation is 13 x+8=5 x

subtracting 5 x on both sides we get

[tex]13 x +8-5 x = 5 x -5 x[/tex]

simplify [tex]8x +8 =0[/tex]

subtracting  8 on both sides , we get solution is

[tex]8 x = -8[/tex]

[tex]x=-1[/tex]

Answer:

The equation of the required straight line is y = 4x + 1.

Step-by-step explanation:

The equation of all the straight lines that are parallel to the straight line y = 4x - 3 is given by  

y = 4x + c .............. (1)  

where, c is any real constant and c ≠ - 3.

{Since parallel straight lines have the same slope and different y-intercept }

Now, we have to find the value of c such that the parallel straight line passes through the point (-1,-3).

Now, putting x = - 1 and y = - 3 in equation (1) we get,

- 3 = 4(- 1) + c

⇒ c = 1

Therefore, the equation of the required straight line is y = 4x + 1. (Answer)

Answer:2/16 4/32 8/64 16/4,096

Step-by-step explanation:what you do is multiply 2and4

Answer:

I believe it is 1/4

Sorry if I am wrong

the answer is 1/4

this is from apx :))

Answer:

1/13

Step-by-step explanation:

since there are four 6 in a deck ( 1 for each suite )

probability of picking up a 6 is 4/52 = 1/13

A: 1/13

Divide 52 by 4 because there are 4 copies of each card in the deck (Not counting joker) You should get 13 and if you are drawing only ONE card, then you will have a 1/13 chance to draw a 6

Answer:

A, B, D

Step-by-step explanation:

25% of 37

= 25/100 × 37

= 1/4 × 37

= 0.25 × 37

= 9.25

To find 25% of 37, you can use the equations: 'x/37 = 25/100', 'p = (0.25)37', and '25/100 x 37'. Option '37/0.25 = w' is not appropriate for finding 25% of 37.

To find 25% of 37, you can use the following methods: a), b), and d).

These three options essentially represent how percentages can be calculated:

Option c) is not suitable here because by dividing 37 by 0.25, you are finding out how many times 25% can fit into 37, not 25% of 37.

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The horse traveled 439.6 feet after walking around the track 5 times

Solution:

Given that, horse walks around a circular track while its trainer stands in the center

The trainer is 14 feet from the horse at all times

Therefore, radius of circular track = 14 feet

The circumference of circle is the distance traveled by horse for 1 lap

The circumference of circle is given as:

[tex]C = 2 \pi r[/tex]

Where, "r" is the radius and [tex]\pi[/tex] is a constant equal to 3.14

[tex]C = 2 \times 3.14 \times 14\\\\C = 87.92[/tex]

Thus the distance traveled by horse for one time in circular track is 87.92 feet

About how far had the horse traveled after walking around the track 5 times?

Multiply the circumference by 5

[tex]distance = 5 \times 87.92\\\\distance = 439.6[/tex]

Thus the horse traveled 439.6 feet after walking around the track 5 times

Answer:

The answer to the factor expression is [tex]\frac{20}{3}[/tex]

Therefore [tex]12\frac{1}{3}-5\frac{2}{3}=\frac{20}{3}[/tex]

Step-by-step explanation:

Given that the factor expression is  [tex]12\frac{1}{3}-5\frac{2}{3}[/tex]

Now convert the mixed fraction into improper fraction as below :

[tex]12\frac{1}{3}-5\frac{2}{3}=\frac{37}{3}-\frac{17}{3}[/tex]

[tex]=\frac{37-17}{3}[/tex]

[tex]=\frac{20}{3}[/tex]

Therefore [tex]12\frac{1}{3}-5\frac{2}{3}=\frac{20}{3}[/tex]

The answer to the factor expression is [tex]\frac{20}{3}[/tex]

Answer:

Distributive Property

Step-by-step explanation:

19(24)=19(20)+19(4)

456 = 380 + 76

456 = 456

Hope this helps

-Amelia

Answer: [tex]\angle GFH[/tex]

Step-by-step explanation:

A Transversal is defined as a line that intersect two or more lines.

For this exercise it is important to know that when a Transversal cut two parallel lines, several angles are formed. These are grouped in pairs.

One of those pairs are called "Alternate exterior angles".

Alternate exterior angles are those non-adjacent angles that are located outside the parallel lines and on opposite sides of the Transversal.

Alternate exterior angles are congruent, which means that they have equal measure.

In this case you know that the Transversal [tex]CH[/tex] cuts the parallel lines [tex]AD[/tex] and [tex]EG[/tex].

Therefore, based on the explanation given before, you can identify in the picture given in the exercise that the angles [tex]\angle ABC[/tex] and [tex]\angle GFH[/tex] are Alternate exterior angles.

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Step-by-step explanation:

Given,

Distance covered by Kurt's car = 23 miles per gallon of gasoline

Kurt fills up tank of his car with g gallons.

Number of gallons in car's tank = g gallons

Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons

D = 23*g

D = 23g

The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Keywords: distance, multiplication

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Answer:

-6.2y-4.5

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Answer: a = 22

Step-by-step explanation: First isolate a/3 by adding 7 to both sides of the equation. That gives you a/3 = 22.

From here since a is being divided by 3, multiply both sides of the equation by 3 so a = 66. We can check our answer by substituting a 66 back in for a in the original equation and we have [tex]\frac{66}{3} - 7 =15[/tex] or 22 - 7 = 15 or 15 = 15. Since this is a true statement, our answer checks.

Answer: try this hi i am in four

Answer:

  tan(F) = z/(2y)

Step-by-step explanation:

Make use of the similarity relationship to find the side necessary to compute the tangent. Then make use of the tangent definition.*

__

The two triangles are given as being similar. That means corresponding sides have the same ratios:

  EF/AC = ED/AB

  ED = AB·(EF/AC) = 4z(x/(8x)) = (4/8)z = z/2

The mnemonic SOH CAH TOA reminds you that the tangent relationship is ...

  Tan = Opposite/Adjacent

  tan(F) = ED/DF = (z/2)/y

  tan(F) = z/(2y)

_____

* Actually, you need to do this in reverse order: first you need to determine if you have all the necessary information to answer the question. You don't.

You need to know the length of side ED in terms of z. You notice that the corresponding side in similar triangle ABC has its length marked as a function of z, so all you need to find ED is the scale factor between the two triangles.

Since both hypotenuses are marked in terms of x, the scale factor is easily found.

Answer:

Step-by-step explanation:

Total cost  = 1.9* 40 = 76.0 = $76

When unit rate is given,multiply.

The total cost of 1.9 cubic meters of soil is $76. This is calculated by multiplying the amount of soil bought (1.9 cubic meters) by the cost of one cubic meter of soil ($40).

To calculate the total cost, we have to multiply the amount of soil bought (in cubic meter) by the cost of one cubic meter of soil. Here, the student is buying 1.9 cubic meters of soil and the cost of one cubic meter of soil is $40.

So, Total cost = amount of soil * cost of one cubic meter of soil
= 1.9 * 40
= $76

Therefore, the total cost of 1.9 cubic meter of soil is "$76."

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The fraction 3/5 makes only the fourth equation true when added with the existing fractions. The first three equations do not yield true results when 3/5 is added.

In Mathematics, when dealing with fractions, we need to maintain the rules of basic arithmetic, meaning that equal sums must be identical on both sides of the equation. Let's check each of these equations with the fraction 3/5:

Equation 1: 7/20 + 3/5 = 14/20 + 12/20 = 26/20 ≠ 19/20. So, the answer is 'No'.

Equation 2: 3/5 + 3/10 = 12/20 + 6/20 = 18/20 ≠ 3/15. So the answer is 'No'.

Equation 3: 1/2 + 2/3 ≠ 3/5. So the answer is 'No'.

Equation 4: 1/10 + 1/2 = 2/20 + 10/20 = 12/20 = 3/5. So the answer is 'Yes'.

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Answer:

This is a lengthy answer

Step-by-step explanation:

So contact me. Message me and I can explain to the fill extent

Final answer:

To find the total length of the wall, calculate the length built in 40 minutes (1200 cm) and divide by 3/4 to get the full length of 1600 cm, which is equivalent to 16 meters.

Explanation:

The question is asking us to determine the total length of the wall that a construction company is building, given that 3/4 of the wall is built in 40 minutes at a rate of 30 cm per minute. First, let's calculate the length of the wall built in 40 minutes:

The total length of the wall is 16 meters.

Answer:

y = -x -5

Step-by-step explanation:

The -x (i.e., multiplication of x by -1) gives the line a slope of -1. The -5 translates the line down to cross the y-axis at -5.

Answer: x = 5

Step-by-step explanation:

multiply the outside number to both numbers in parenthesis

3x-15  divide

find out how many time 3 goes into 15 and divide  

three divided by fifteen equals five

Final answer:

The equivalent expression to 3(x-5) is 3x - 15, which is found by applying the distributive property of multiplication over subtraction.

Explanation:

The question asks for an expression equivalent to 3(x-5). To find an equivalent expression, we need to apply the distributive property of multiplication over subtraction. This means we will multiply the number 3 by each term inside the parentheses.

Here's the step-by-step process:

Multiply 3 by x to get 3x.

Multiply 3 by -5 to get -15.

Combine these two products to get the equivalent expression, which is 3x - 15.

Therefore, the equivalent expression to 3(x-5) is 3x - 15.

Answer:

20.x + 90 = 110.x