Mark has a batting average of 0.155. What is the probability that he has fewer than 3 hits in his next 6 at bats?

Answers

Answer 1

Since the probability that a player gets a hit on any given at bat is independent of the other at bats, we can find the probability that Mark has fewer than 3 hits in his next 6 at bats by simply multiplying the probability of getting a hit on each at bat. Since Mark has a probability of 0.155 of getting a hit on any given at bat, he has a probability of (0.155)^3 of getting exactly 3 hits in his next 6 at bats. Therefore, the probability that he has fewer than 3 hits in his next 6 at bats is 1 - (0.155)^3  approx 0.76

Answer 2

Answer:

The probability that Mark will have fewer than 3 hits in his next 6 at bats is approximately 0.204.

Step-by-step explanation:

A batting average is the number of hits a player has divided by the number of times they have been at bat. In this case, Mark has a batting average of 0.155, which means that he has hit 0.155 of the times he has been at bat.

To find the probability that Mark will have fewer than 3 hits in his next 6 at bats, we can use the binomial probability formula. The formula for binomial probability is:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where "n" is the number of trials, "x" is the number of successes, "p" is the probability of success on a single trial, and "1-p" is the probability of failure on a single trial.

In this case, the number of trials is 6, the number of successes is 3, and the probability of success on a single trial is 0.155. Plugging these values into the formula, we get:

P(3) = (6 choose 3) * 0.155^3 * (1-0.155)^(6-3)

To calculate the probability that Mark will have fewer than 3 hits in his next 6 at bats, we need to sum the probabilities of 0, 1, and 2 hits. We can use the binomial probability formula to calculate the probability of each of these outcomes, and then add them together to find the total probability.

For 0 hits, the probability is:

P(0) = (6 choose 0) * 0.155^0 * (1-0.155)^(6-0) = 0.009

For 1 hit, the probability is:

P(1) = (6 choose 1) * 0.155^1 * (1-0.155)^(6-1) = 0.054

For 2 hits, the probability is:

P(2) = (6 choose 2) * 0.155^2 * (1-0.155)^(6-2) = 0.141

Adding these probabilities together, we get the total probability that Mark will have fewer than 3 hits in his next 6 at bats:

P(0 or 1 or 2) = 0.009 + 0.054 + 0.141 = 0.204

Therefore, the probability that Mark will have fewer than 3 hits in his next 6 at bats is approximately 0.204.


Related Questions

A $810 washing machine in a laundromat is depreciated for tax purposes at a rate of $90 per year. Find a function
for the depreciated value of the washing machine as it varies with time. When does the depreciated value reach $0?

Answers

Answer: c=810-90t, t=9 years

Step-by-step explanation:
This function can be modeled linearly because we know that the cost decreases by $90 every year. That means our cost is equal to the original value minus $90 for every year, which is t.
So, c=810-90t. And this function equals zero when t is equal to 9 years.

Please help…

Geometry


Answers

The proof that shows that ∠B ≅ ∠D by the CPCTC is explained in the table below.

What is CPCTC?

CPCTC is a postulate that stands for "corresponding parts of congruent triangles are congruent". It says that if you prove that two triangles are congruent to each other, then every of their corresponding parts are congruent.

Therefore, the proof below shows how to use CPCTC to prove that ∠B ≅ ∠D.

Statement                           Reason                                                  

1. BC ≅ CD                          1. Given

2. AC ≅ EC                         2. Given

3. ∠ACB ≅ ∠ECD               3. Vertical angles theorem

4. ΔACB ≅ ΔECD               4. SAS theorem

5. ∠B ≅ ∠D                         5. CPCTC

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Solve the problem by finding x. I don’t know how to? Do you.

Answers

Answer:

x =  e^3   +7

Step-by-step explanation:

ln ( x-7) = 3

To solve for x, raise each side to base e

e ^ ( ln ( x-7) ^= e^3

x-7 = e^3

Add 7 to each side

x-7+7 = e^3   +7

x =  e^3   +7

A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data:
Number of workers
0 10 20 30 40 50 60 70 80 90
Number of units 2 52 102 152 202 252 302 352 402 452
(
Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What do the slope and y-intercept of the plot indicate? (3 points)

Answers

Answer: Part A: Yes there is. As the number of workers increases, so does the production.

Part B:    y = 5x + 2

Part C: The slope indicates that for every person there is 5 units being produced, and the y-intercept indicates that 2 units are being made every day, regardless of if there are no workers ( this, however is unrealistic but it is how the data is )

Step-by-step explanation:

a teacher figures that final grades in the statistics department are distributed as: a, 25%; b, 25%; c, 40%; d, 5%; f, 5%. at the end of a randomly selected semester, the following number of grades were recorded. find only the test statistics to test the claim that the grade distribution for the department is different than expected. be sure to set up the equation. do not conduct the hypothesis testing. grade a b c d f number 42 36 60 8 14

Answers

The critical value is 13.28 when the distribution of final marks in the statistics department.

Given that,

According to a teacher, the distribution of final marks in the statistics department is: A, 25%; B, 25%; C, 40%; D, 5%; and F, 5%. The following number of grades were recorded at the conclusion of a randomly chosen semester.

We have to recognize the important value.

We know that,

Given a=0.01,

The critical value of chi-square with 0.99,

df=n-1=4  is

13.28 (From chi-square table)

Therefore, The critical value is 13.28 when the distribution of final marks in the statistics department.

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An LG Dishwasher, which costs $800, has a 14% chance of needing to be replaced in the first 2 years of purchase. A two-year extended warrantee costs $112.10 on a dishwasher. What is the expected value of the extended warranty assuming it is replaced in the first 2 years?

Answers

The expected value of the extended warranty is $687.90 assuming it is replaced in the first 2 years.

Here, we are assuming that the dishwasher is replaced in the first 2 years in order to calculate the expected value of the extended warranty.

Because there is 14% chance of replacement:

Value of warranty = 14%*$800 - $112.10

Value of warranty = $112.00 - $112.10

Value of warranty = -$0.10

Now, because it is assumed that replacement will be done in first 2 years, then,

Value of warranty will increase to $687.90 ($800 - $112.10).

Therefore, the expected value of the extended warranty is $687.90 assuming it is replaced in the first 2 years.

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Two independent simple random samples are taken to test the difference between the means of two populations whose standard deviations are not known, but are assumed to be equal. The sample sizes are n1 - 25 and n2-35. The correct distribution to use is the 1) t distribution with 59 degrees of freedom 2) t distribution with 58 degrees of freedom. 3) t distribution with 61 degrees of freedom. 4) t distribution with 60 degrees of freedom e in tne abintres of students enroled n staustucs today if there is any diffe statistics teacher wants to see and those enrolled five years ago.

Answers

2- T-distribution with 58 degrees of freedom

When the estimated standard deviation rather than the actual standard deviation is used as the denominator, the t-distribution is a continuous probability distribution of the z-score.

The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. If there is a remaining requirement for the data sample, particular data sample items must be picked after the degree of freedom quantity has been decided.

[tex]t[/tex] = Student's t-distribution

[tex]X{i}[/tex] = sample mean

μ = population mean

[tex]s[/tex] = sample standard deviation

[tex]n[/tex] = sample size

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The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. If there is a remaining requirement for the data sample, particular data sample items must be picked after the degree of freedom quantity has been decided.

When the estimated standard deviation rather than the actual standard deviation is used as the denominator, the t-distribution is a continuous probability distribution of the z-score.


Write an equation in standard form of the line that contains the point (-2,3) and is parallel to (has the same slope as) the line
y = 4x-1.

Answers

Answer:

y=4x+11

Step-by-step explanation:

Real numbers a and b satisfy the equations 3ª = 815+2 and 125=5ª-3. What is ab?
(A) -60
(B)-17
(C) 9
(D) 12
(E) 60

Answers

By solving a simultaneous linear equation, it can be calculated that-

Value of ab = 60

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a simultaneous linear equation needs to be solved

[tex]3^a = 81^{b+2}[/tex] and [tex]125^b = 5^{a-3}[/tex]

[tex]3^a = 3^{4(b+2)}[/tex]

a = 4(b + 2)

a = 4b + 8

a - 4b = 8 ... (1)

[tex]125^b = 5^{a-3}\\5^{3b} = 5^{a-3}\\[/tex]

3b = a - 3

a - 3b = 3 .... (2)

Subtracting (1) from (2)

b = -5

Putting the value of b in (2)

a - 3(-5) = 3

a + 15 = 3

a = 3 - 15

a = -12

Value of ab = (-12) [tex]\times[/tex](-5) = 60

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Use the given conditions to find the values of all six trigonometric functions. (If an answer is undefined, enter UNDEFINED.) sec(x) = − 9/5, tan(x) < 0
sin(x)=
cos(x)=
tan(x)=
csc(x)=
sec(x)=
cot(x)=

Answers

Answer:

Step-by-step explanation

sec x = -9/5.

cos x = 1/ secx

So, here

cos x = 1 / -9/5

         = -5/9

sin x = √(1 - cos^2 x)

        = √(1 - 25/81)

        = √(56/81)

        = √56/9

tan x = sinx / cos x

         = √56/9 / -5/9

         = -√56/5

cosec x = 1 / sin x

             = 1 / √56/9

             = 9/√56.

cot x = 1/tanx

         = 1/-√56/5

         = -5/√56

43. Ford Davis borrowed $14,000 of a non-interest-bearing, simple discount, 8% , 90-day note. Assume ordinary interest. What are Ford's proceeds?
A. $14,000
B. $13,720
C. $13,000
D. $17,320

Answers

Answer: B. $13,720

Step-by-step explanation: To calculate Ford's proceeds, we need to first find the discount, which is equal to the interest on the loan multiplied by the principal amount of the loan. The interest is 8% of $14,000, or $1,120. The discount is then $1,120 * 90/360, or $310. The proceeds are equal to the principal amount minus the discount, or $14,000 - $310 = $13,720.

Mia's plant grows at an average rate of 5cm each month.
When she bought it, it was 18 cm tall.

Select the function that models the relationship between y, the height of the plant in cm, and x, the time in months that it grows.

A. y = 18x + 5

B. y = 18 + 5x

C. y = x + 18

D. y = 23x

Answers

Answer:

B

Step-by-step explanation:

The 18 is the intitial value.  It does not change.  What does change is the height every month.  You would substitute in the number of months for x to find the height of the plant.

Determine whether the triangles are congruent. If so, name the postulate or theorem that justifies your answer.

Answers

By Side - Angle - Side Congruence Rule the given triangles are Congruent

What is SAS Rule of Congruence?

That is stated in the SAS regulation. If two sides and the included angle of one triangle equal two sides and the included angle of another, the triangles are congruent. An included angle is one created by the intersection of two specified sides.

Solution:

By Side - Angle - Side Congruence Rule the given triangles are Congruent

Since, two sides are equal andd the angle included between the sides is equal to

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edpuzzle
YOUR TURN: FIND THE VALUE OF X AND Y:
12
!!!
MULTIPLE CHOICE QUESTION
Find the value of x:
3√4
8
4√3
4√8
8√4

please help me within today loll it’s due tonight 11:59pm!!

Answers

Answer:

Step-by-step explanation:

in similar triangles

sides are proportional.

Jill Paa obtained a $1,450 installment loan to pay for a new laptop computer for her classwork. She agreed to
repay the loan in 18 monthly payments at an APR of 8%.

Answers

The monthly payment is $966.76.

What is monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Given the amount of the loan is $1,450.

The number of installment is 18.

The APR of the loan is 8%.

The monthly rate of interest is 8%/12 = 2/3%

The formula of monthly installment is

[tex]M=P[\frac{r}{1-(1+r)^{-n}} ][/tex]

P =  principal = 1,450

r = rate of interest = 2/3%

n = number of instalment = 18

[tex]M=1450[\frac{0.67}{1-(1+0.67)^{-n}} ][/tex]

M = 966.76

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Which equation will produce the graph shown?

Answers

Answer:

D

Step-by-step explanation:

Since this we have rose petal, the equation will be either

[tex]r = a \sin(n \alpha ) [/tex]

or

[tex]r = a \cos( n\alpha ) [/tex]

Since we have 3 petals, which is a odd number, n=3

so the answer must be either

[tex]r = a \cos(3a) [/tex]

[tex]r = a \sin(3 \alpha ) [/tex]

Where a is some constant real number.

So D is the answer

For linear function f, f(2)=0 and f(4)=-6.
Write function f in slope-intercept form.
Hint
Examples:
f(5)=0 means (5,0) is a point on the line.
f(3)=-2 means (3,-2) is a point on the line.
How do you find the slope of the line when you have 2 points?

Answers

The function f in slope - intercept form is y = -3x + 6 .

Given :

For linear function f, f(2)=0 and f(4)=-6.

Examples :

f(5)=0 means (5,0) is a point on the line.

f(3)=-2 means (3,-2) is a point on the line.

so f ( 2 ) = 0 means ( 2 , 0 )

f ( 4 ) = -6 means ( 4 , -6 )

slope m = -6 - 0 / 4 - 2

= -6 / 2

= -3

substitute m and ( 2 , 0 ) in y = mx  + b

0 = -3 * 2 + b

b = 6

substitute m and b value

y = -3x + 6

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a bag of mixed peanuts and cashews contains pounds of peanuts that cost per pound and pound of cashews that cost per pound

Answers

The number of pounds of peanuts needed is 29.167.

Multiply the number of pounds of each type and multiply by the cost per pound to get the total cost of that part contribution to the total. Add them together and set it equal to the final total pounds (50) multiplied by its cost per pound ($2.90)

There are 5 pounds of mixed nuts.

let x = pounds of peanuts

cost of each pound of peanuts is $1.50

45 - x = pounds of cashews

Cost of each pound of cashew is $4.50

This way total pounds = 50

5 pounds($6) + x pounds ($1.50) + (45-x)pounds($4.50) = 50 pounds($2.90)

30 + 1.50x + 202.5 - 4.50x = 145

-3x = -87.5

x = 29.167

Therefore, the number of pounds of peanuts needed is 29.167.

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Disclaimer

The question given by you is incomplete, the abouve asnwer is done as per a similar question, the question is

A merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that costs $2.90 per pound. how many pounds of peanuts are needed?

Complete the square to solve the equation below.
Check all that apply.
will mark brainliest
x2 + 8x- 5 = 15
A. x=3
B. x=-2
C. x= -10
D. x= 2

Answers

Answer:

+2 or –10

Step-by-step explanation:

x² + 8x –5 = 15

x² + 8x = 15 + 5

x² + 8x = 20

using completing the square method

(½(8))² to be applied in both sides

x² + 8x + 16 = 20 + 16

factorise the LHS

(x+4)² = 36

x + 4 = √36

x + 4 = ±6

x = –4±6

x = –4 + 6 or –4–6

x = +2 or –10

pls mark as brainliest

use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in example 4. cos4(x) sin2(x)

Answers

The expression in terms of first power of cosine cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

How to lower the power of expression in trigonometry?

The cosecant and cotangent functions, which exist in the numerator and denominator, can be used to simplify a trigonometric statement by writing it in terms of the sine and cosine functions.

sin2x+cos2x = 1 and cos2x = (1+cos(2x))/2

Using the first identity, we have sin2x = 1-cos2x.

So we have that cos4x*sin2x = cos4x(1-cos2x)

Expanding, we have cos4x-cos6x.

Since cos2x=  (1+cos(2x))/2, this implies cos4x = ((1+cos(2x))/2)² and cos6x=((1+cos(2x))/2)³.

Expanding each one, we have

cos4x - cos6x = 1/4(1+2cos(2x) + cos2(2x)) - 1/8(1+3cos(2x) + 3cos2(2x) + cos3(2x)).

Simplifying we get

cos4x - cos6x = 1/8 + 1/8(cos(2x) - cos2(2x) - cos3(2x)).

cos2(2x) = 1/2(1+cos(4x)) and cos3(2x)

= cos2(2x)*cos(2x)

= 1/2(1+cos(4x)) * cos(2x)

= 1/2(cos(2x) + cos(4x)*cos(2x))

Substituting, we get

cos4x - cos6x = 1/8 + 1/8(cos(2x) - 1/2(1+cos(4x)) - 1/2(cos(2x) + cos(4x)*cos(2x)))

Cleaning it up, we get

cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

Hence, The expression in terms of first power of cosine cos4x*sin2x = 1/16 + cos(2x)/16 - cos(4x)/16 - cos(4x)cos(2x)/16.

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The function f(x) = Negative Startroot x EndRoot is shown on the graph

Which statement is correct?

The domain of the function is all real numbers less than or equal to −1.
The range of the function is all real numbers greater than or equal to 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all real numbers less than or equal to 0.

Answers

Answer:

C)  The range of the function is all real numbers less than or equal to 0.

Step-by-step explanation:

Given function:

[tex]f(x)=-\sqrt{x}[/tex]

Domain

The domain of a function is the set of all possible input values (x-values).

As the square root of a negative number cannot be taken, x ≥ 0.

Therefore, the domain of the function is all real numbers greater than or equal to 0.

Range

The range of a function is the set of all possible output values (y-values).

As the domain is x ≥ 0, the range of the function is all real numbers less than or equal to 0.

Answer:

C) The range of the function is all real numbers less than or equal to 0.

If f(x)=3x-1/2,find f^-1(x)

Answers

Answer: x=3y-1/2 or y=(x+1/2)/3

Step-by-step explanation:

f^-1(x) is just the inverse so all you need to do is switch x and y.

right now you have y=3x-1/2

so switch the x and y to get your answer of x=3y-1/2

if you're asked to solve for y, follow these steps:

1. x +1/2 = 3y-1/2 +1/2 -> x+1/2=3y

2. divide both sides by 3 -> (x+1/2)/3=y

The weight of a medium-sized orange selected at random from a large bin of oranges at a local supermarket is a random variable with mean μ = 12 ounces and standard deviation σ = 1.2 ounces. Suppose we independently select two oranges at random from the bin. The difference in the weights of the two oranges (the weight of the first orange minus the weight of the second orange) is a random variable with a standard deviation equal to

Answers

The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.

Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

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Solve for z in the system of equations.

x + y - z = -5

2x - y + z = 8

x - 4y + 3z = 5

Answers

Answer:

z = 20

Step-by-step explanation:

Elimination Method:

We can use the elimination method in a systems of 3 equations, just as we did when we were solving systems of 2 equations. While the method we apply it is the same, we have to apply it multiple times as elimination gets rid of one variable (usually) and since we're dealing with 3 variables, that still leaves us with 2 variables and we need to cancel once more.

Applying Elimination Method:

We want to develop two linear equations, by applying elimination twice to each equation at least once, and then from there we can apply elimination once more.

Since we're solving for "z", we don't want to immediately cancel it out. So let's use the following two equations:
[tex]x+y-z=-5\\\\x-4y+3z[/tex]

Let's cancel out the "x", by manipulating one equation to be -x. We can do this by multiplying one equation by -1, but remember we have to apply this to both sides of the equation. Let's do it to the top one (you could also do it to the bottom one)

[tex]-1(x+y-z)=-(-5)\implies -x-y+z=5[/tex]

So now let's add the two equations:

[tex]\ \ \ (-x-\ y+\ z)=5\\+(\ \ x-4y + 3z) = 5\\ ------------\\ -5y+4z=10[/tex]

Now let's apply the same thing, but to the middle and bottom equation. Since they don't have the same absolute value coefficients (ignoring the sign) we need to multiple one by a value other than just negative one. So let's multiply the bottom equation by -2 so that the bottom will have a -2x which will cancel when adding it to 2x

[tex]-2(x - 4y + 3z) = -2(5)\\-2x + 8y - 6z = -10[/tex]

Now let's add the equations:

[tex]\ \ \ (\ \ 2x-y+z)=8\\+(-2x + 8y - 6z)=-10\\\\-----------\\7y - 5z = -2[/tex]

So now we have the two equations:

[tex]7y-5z=-2\\-5y+4z=10[/tex]

From here we can apply any method we want, from here I'll use substitution. Since we want to get rid of the "y", let's solve for "y" in terms of z, so once we substitute we have no "y" terms left.

[tex]7y-5z=-2\\7y=5z-2\\y=\frac{5z-2}{7}[/tex]

Now let's plug this into the second two-variable equation we made.

[tex]-5(\frac{5x-2}{7})+4z=10\\\\\frac{-25x+10}{7}+4z=10\\\\\frac{-25}{7}z+\frac{10}{7} + \frac{28}{7}z = \frac{70}{7}\\\\\frac{-25+28}{7}z = \frac{70-10}{7}\\\\\frac{3}{7}z = \frac{60}{7}\\\\z = \frac{60}{7} * \frac{7}{3}\\\\z = 20[/tex]

Consider n independent flips of a coin having probability p of landing on heads. Say that a changeover occurs whenever an outcome differs from the one preceding it. For instance, if n=5 and the outcome is HHTHT, then there are 3 changeovers. Find the expected number of changeovers. Hint: Express the number of changeovers as the sum of n-1 Bernoulli random variables.

Answers

The expected number of transitions is 22p(1-p) when take into account n separate coin flips with a p percent chance of landing on heads.

Given that,

Take into account n separate coin flips with a p percent chance of landing on heads. Say a changeover happens any time an outcome diverges from the one that came before it. For instance, there are 3 changeovers if n=5 and the result is HHTHT.

We have to determine the anticipated number of transitions.

We know that,

Independent flips,

n =12

Probability of heads =p

Probability of tails =(1-p)

Let m=1,2,...n

If mth term may be head then (m+1)th outcome could be head or vice-versa.

Probability of change overs from mth to (m+1)th outcome =2p(1-p)

So, the  expected changeovers is given by

E[change overs] = (n-1) *2p(1-p)

= (12-1) × 2p(1-p)

=11 × 2p(1-p)

=22p(1-p)

Therefore, the expected number of transitions is 22p(1-p) when take into account n separate coin flips with a p percent chance of landing on heads.

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If f(x)=3x²-1 and g(x)=x+2, find (f+g)(x).
A. 4x² +1
B. 3x²+x+1
C. 3x²+x-1
D. 3x³ -2

Answers

The addition of function f(x) = 3 · x² - 1 and function g(x) = x + 2 is equal to (f + g)(x) = 3 · x² + x + 1. (Correct choice: B)

How to find the resulting expression of the addition of two functions

New functions can be created by combining functions, the most common operations are listed below:

AdditionSubtractionMultiplicationDivisionComposition

In this problem we must determine the expression that is the result of the addition of two functions, whose definition is shown below:

(f + g) (x) = f(x) + g(x)

First, use the definition of the addition of two functions:

(f + g)(x) = (3 · x² - 1) + (x + 2)

Second, simplify the algebraic expression:

(f + g)(x) = 3 · x² + x + 1

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Suppose you want to purchase a $ 195000 house. If you put 20% down and finance the rest in a 15 year mortgage at an interest rate of 4%, what will your monthly payments be?
Monthly payment

Answers

The monthly payment on a principal of $156000 with interest rate of 4% over a time period of 15 years is $1153.91

Monthly Payment

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

The formula of monthly payment is given as;

A = P [r(1 + r)ⁿ] / [(1 + r)ⁿ - 1]

A =  Monthly paymentr = ratep = principaln = number of payment

The principal of the loan can be calculated as 20 % of 195000

20 / 100 = x / 195000

0.2 = x / 195000

x = 39000

The principal is 195000 - 39000 = 156000

The principal is 156000, rate is 4% and time is 15 year

Substituting the values into the formula

A = 156000[0.04(1 + 0.04)¹⁸⁰] / [(1 + 0.06)¹⁸⁰ - 1]

A = 1153.91

The monthly payment is $ 1,153.91

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Which of the following are rational numbers? Select three that apply.
[tex] \sqrt{?} [/tex]
[tex] \sqrt{9} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{3} [/tex]
[tex] \sqrt{8} [/tex]
[tex] \sqrt{4} [/tex]

Answers

The rational numbers are √9, √4, √1. Options A, B and F

What are rational numbers?

A rational number is defined as a number expressed as the ratio of two integers, such that the denominator should not be equal to zero.

These numbers can be expressed as quotients of two integers.

It is a number whose decimal form is finite or recurring in nature.

It is determined by dividing an integer with another integer, an exception is made with zero.

It is important to note the following;

The square roots of perfect squares are rational numbers The square roots of non-perfect squares are not rational numbers

From the numbers given, the rational numbers are;

√9, √4, √1

Hence, the values are √9, √4, √1

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A market receives the following sell orders. How are they ranked? That is, in whatorder will they be executed (1=first, 2=second, …, 5=last)

Answers

The sell order with the fifth lowest price (lowest bid) will be ranked fifth and will be executed last. In this case, the sell order with a price of $14 and a quantity of 10 will be executed last.

1. $10 - 20

2. $11 - 30

3. $12 - 50

4. $13 - 40

5. $14 - 10

1. The sell order with the lowest price (highest bid) is ranked first and will be executed first. In this case, the sell order with a price of $10 and a quantity of 20 will be executed first.

2. The sell order with the second lowest price (second highest bid) will be ranked second and will be executed second. In this case, the sell order with a price of $11 and a quantity of 30 will be executed second.

3. The sell order with the third lowest price (third highest bid) will be ranked third and will be executed third. In this case, the sell order with a price of $12 and a quantity of 50 will be executed third.

4. The sell order with the fourth lowest price (fourth highest bid) will be ranked fourth and will be executed fourth. In this case, the sell order with a price of $13 and a quantity of 40 will be executed fourth.

5. The sell order with the fifth lowest price (lowest bid) will be ranked fifth and will be executed last. In this case, the sell order with a price of $14 and a quantity of 10 will be executed last.

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help solve this there is reward
you have ten mangoes and twelve carrots that cost 23$ in total, five mangoes and four carrots cost ten dollars what does one mango and one carrot cost

Answers

Answer:1 carrot cost .75 cents and a mango cost 1.40

Step-by-step explanation:

12 carrots + 10 mangoes = 23$

4 carrots + 5 mangoes = 10$

I know to get from 5 mangoes to 10 mangoes you have to multiply twice. so it wil come up to 20 dollars

8 carrots + 10 mangoes = 20$

divide by 2

that will leave 4 carrots and 3 dollars.

4/3 = .75

17 dollars is left

so 10 carrots is equal to 14 dollars

14/10 = 1.4 dollars

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