If the area to the left of x in a normal distribution is 0.771, what is the area to the right of x ?

Answer:

Step-by-step explanation:

90 x 0.2 (Because you have to transform the percent into a decimal, move the decimal place twice to the right)

Answer: 18 Minutes

By using the model, the missing values that complete the expression include the following:

48 + 32 = 8(6 + 4).

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of big rectangle = L × B

48 = 8 × 6

Area of small rectangle = L × B

32 = 8 × 4

For the required expression, we have:

48 + 32 = 8(6 + 4).

80 = 8(10)

80 = 80

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Certainly! Here's the solution to find the equation of the cubic polynomial with zeros at 0, 1, and 2:

Since the zeros of the polynomial are 0, 1, and 2, we can express the polynomial in factored form as:

\( \sf f(x) = (x - 0)(x - 1)(x - 2) \\\)

Simplifying the expression, we get:

\( \sf f(x) = x(x - 1)(x - 2) \\\)

Expanding the product, we have:

\( \sf f(x) = (x^2 - x)(x - 2) \\\)

Using the distributive property, we can further simplify:

\( \sf f(x) = (x^3 - 2x^2 - x^2 + 2x) \\\)

Combining like terms, we get:

\( \sf f(x) = (x^3 - 3x^2 + 2x) \\\)

Therefore, the equation of the cubic polynomial with leading coefficient 1 and zeros at 0, 1, and 2, in standard form, is:

\( \sf f(x) = x^3 - 3x^2 + 2x \\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Clean price is $3,977.22

Dirty price = $4110.99

Step-by-step explanation:

We proceed as follows;

Semiannual coupon payments = $3000* 12%/2 = 6% * 3,000 = 6/100 * 3,000 = $180

Coupons are paid on 1st June and 1st December every year(semi-annually means twice a year, every 6 months)

No. of payments remaining = 11 (1 payment in 2020 on 1st December,2020 and 2 in each of the following 5 years)

Semiannual Yield = 6%/2 =3%

The clean price of the bond is given by

P = 180/1.03+ 180/1.03^2+.....+180/1.03^11+ 3200/1.03^11

=180/0.03*(1-1/1.03^11)+3200/1.03^11

=$3977.22

Dirty price = clean price +accrued interest

Accrued Interest = Interest from 1st June , 2020 to 1st December,2020

= no of days from 1st June to 15th October/no of days from 1st June to 1st December * $180

= 136/183*$180

=$133.77

So, Dirty price = $3977.22+$133.22 = $4110.99

Answer:1249cm

0.045kg

120mm

Step-by-step explanation:

The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.

According to the number system, a number can be written in its expanded form according to their pace value in the chart.

2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000

The place value of 2 in the tens place in given number 2,222.222 = 20

The place value of 2 in its left column in the given number 2,222.22  = 200

Difference between the place of 2 in tens place and 2 in its left column

= 200 - 20

= 180

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Answer:

A Reflection

Step-by-step explanation:

In geometry, a reflections would be referred to as a flip. A reflection is a representation of a shape. An picture will mirror thru the line of reflection. If a figure is said to be a mirror of another figure, then every point in that figure is equal to every corresponding point in another figure.

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

-----

Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3

Answer:

11% Increase

Step-by-step explanation:

11% increase. 182,040-164,000=18,040. 18,040=11% of 182,040

Answer:

Hi! The answer is in the picture! *They're color coded*

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

\(3n^2+3n-6=54\)

Step-by-step explanation:

Total Area=54 square inches. Area=length*width.

Because the length is \([3(n-1)]\), and the width is \((n+2)\), you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.

\([3(n-1)](n+2)=54\)

Distribute through the parenthesis in \(3(n-1)\).

\((3n-3)(n+2)=54\)

Then, multiply \(3n-3\) and \(n+2\) using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.  

\(3n^2+6n-3n-6=54\)

Simplify.

\(3n^2+3n-6=54\)

Answer:

13

Step-by-step explanation:

Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.

Sum of co - interior angles is supplementary.

12x - 29 + 4x + 1 = 180

12x + 4x - 29 + 1 = 180

16x - 28 = 180

16x = 180 + 28

16x = 208

x = 208 / 16

x = 13

Answer:

u can have max of 3 with remainder of 3

Step-by-step explanation:

Hence, the different groups of \(5\) can be formed from the \(18\) volunteers is

\(^{18}C_5=205632\).

What is the permutation and combination?

Permutation and Combination form the principles of counting and they are applied in various situations.

A permutation is a count of the different arrangements which can be made from the given set of things. In permutation the details matter, as the order or sequence is important.

Here given that,

A blood bank needs \(5\) people to help with a blood drive. \(18\) people have volunteered.

So,

\(^nC_r=\frac{n!}{r(n-r)!}\)

Here \(n=18, r=5\)

Then

\(^{18}C_5=\frac{18!}{5(18-5)!}\\\\^{18}C_5=\frac{18!}{5(13)!}\\\\^{18}C_5=\frac{(18)(17)(16)(15)(14)(13)}{5(13)}\\\\^{18}C_5=\frac{(18)(17)(16)(15)(14)}{5}\\\\^{18}C_5={(18)(17)(16)(3)(14)}\\\\^{18}C_5=205632\)

Hence, the different groups of \(5\) can be formed from the \(18\) volunteers is

\(^{18}C_5=205632\).

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S(n) =  -1.5n² + 17.5n.

The value of n is 12.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

16 + 13 + 10 .....

First term.

a = 16

common difference.

13 - 16 = -3

10 - 13 = -3

Sum of an arithmetic sequence.

= n/2 (2a + (n - 1)d )

= n/2 (2 x 16 + (n - 1)(-3) )

= n/2 (32 + (-3n + 3) )

= n/2 (32 - 3n + 3)

= n/2 (35 - 3n)

= 17.5n - 1.5n²

= -1.5n² + 17.5n _____(1)

Now,

For S(n) = -6

From (1),

-1.5n² + 17.5n = -6

-1.5n² + 17.5n + 6 = 0

1.5n² - 17.5n - 6 = 0

This is in the form of ax² + bx + c

So,

a = 1.5

b = -17.5

c = -6

n = -b ± √(b² - 4ac) / 2a

So,

n = -1.5 ± √(2.25 + 36) / 3

n = -1.5  + √(2.25 + 36) / 3

n = 12

n = -1.5 - √(2.25 + 36) / 3

n = -1/3

So,

n = -12 and n = -1/3 (rejected)

Thus,

S(n) =  -1.5n² + 17.5n and n = 12.

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Answer:

Number of Possible Sequence = 5 x 4 x 3 x 2 x 1 = 120 ways

Please give 5-star rating

Answer:

48 ounces

Step-by-step explanation:

x = small jar

y = large jar

x= 0.75y

36= 0.75y

y = 48

Answer:

the answer is 48 ounces  i took that on my test I'm positive

Step-by-step explanation:

To consider using the bisection method to find the roots of the function f(x) - 3 = 0, you may follow these steps:

1. First, rewrite the function as f(x) = 3.

2. Choose an interval [a, b] such that f(a) and f(b) have opposite signs, which means that f(a) * f(b) < 0.

3. Calculate the midpoint, c, of the interval [a, b] using the formula c = (a + b) / 2.

4. Evaluate the function at the midpoint, f(c).

5. If f(c) is close enough to the desired root (within a pre-defined tolerance), then c is the approximate root of the function.

6. If f(c) is not close enough to the desired root, update the interval based on the sign of f(c):
  a. If f(c) * f(a) < 0, then the root lies in the interval [a, c]. Update the interval to [a, c].
  b. If f(c) * f(b) < 0, then the root lies in the interval [c, b]. Update the interval to [c, b].

7. Repeat steps 3-6 until the desired accuracy is reached.

By following these steps, you can use the bisection method to find the roots of the function f(x) - 3 = 0.

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Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

9

2

0

Step-by-step explanation:

Answer: x = (0,0)  y = (3,0)

Step-by-step explanation:  you have to find the Asymptotes In The Equation

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

x coordinate: 2

y coordinate: -3

explanation:

\(\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}\)

solve them by combination:

\(\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1\)

\(\rightarrow \sf \dfrac{1}{2} x +2x= 1+4\)

\(\rightarrow \sf 2.5x=5\)

\(\rightarrow \sf x=2\)

Find y:

\(\sf y = -2x + 1\)

\(\sf y = -2(2) + 1\)

\(\sf y = -3\)

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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The situation cannot be modeled by a linear equation. The processing fee is $42 and the daily fee is $102.With a budget of $1200maximum number of days you can rent the beach house is 6 days

a. To determine if the situation can be modeled by a linear equation, we can plot the data on a graph with days on the x-axis and total cost on the y-axis.

When we plot the data, we can see that it does not form a straight line, which means the situation cannot be modeled by a linear equation.

b. To find the processing fee and the daily fee, we can use the information given in the table.

Let's call the processing fee "p" and the daily fee "d". We can set up two equations to represent the total cost for two different numbers of days:

2d + p = 246

4d + p = 450

Subtracting the first equation from the second, we get:

2d = 204

So, d = 102.

Substituting d = 102 into the first equation, we get:

2(102) + p = 246

Solving for p, we get:

p = 42

Therefore, the processing fee is $42 and the daily fee is $102.

c. We can use the equation for the total cost with the processing fee and daily fee we found in part (b) to determine the maximum number of days we can rent the beach house for $1200.

8d + p = 858

Substituting p = 42 and d = 102, we get:

8(102) + 42 = 858

Simplifying, we get:

840 + 42 = 882

So, we can rent the beach house for a maximum of 6 days with a budget of $1200

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The function y = 1.5(1.4)^x can model exponential growth or decay.

The number 1.4 represents the growth or decay factor, and the number 1.5 represents the initial quantity.

To solve the equation 6.2 = 1.5(1.4)^x, we find an exact solution and a decimal estimate, which represents the time when the quantity reaches 6.2 in the given situation.

1a. The function y = f(x) = 1.5(1.4)^x can model the situation of exponential growth or decay. For example, it could represent the population of bacteria in a culture over time, where x is the time in hours, y is the number of bacteria, and 1.4 represents the growth factor of 40% per unit of time.

1b. In this situation, the number 1.4 represents the growth factor or decay factor per unit of time. It indicates how much the quantity is increasing or decreasing at each step of the time interval.

1c. The number 1.5 in the equation represents the initial quantity or starting value of the situation being modeled. It is the value of y when x = 0 or the initial condition of the scenario.

1d. To solve the equation 6.2 = 1.5(1.4)^x:

Divide both sides of the equation by 1.5:

(1.4)^x = 6.2/1.5

Take the logarithm (base 1.4) of both sides:

x = log(6.2/1.5) / log(1.4)

This is the exact solution. To find a decimal estimate, evaluate the expression using a calculator:

x ≈ 3.663

In this situation, the decimal estimate of x = 3.663 represents the time at which the quantity reaches the value of 6.2 based on the given exponential growth or decay model.

1e. To check the solution from part (1d) using a table or graph:

Table: Generate a table of values for the function y = 1.5(1.4)^x for various x values. Evaluate the function for x = 3.663 and see if it gives a value close to 6.2.

Graph: Plot the function y = 1.5(1.4)^x on a graphing calculator or software. Locate the point where the graph intersects the y = 6.2 line and check if it aligns with the estimated x value.

Both methods will allow you to visually and numerically verify if the x value obtained from solving the equation matches the desired y value of 6.2.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{30\% of 1200}}{\left( \cfrac{30}{100} \right)1200}\implies 360~\hfill \underset{\textit{Jacob's apartment} }{\stackrel{1200~~ - ~~360 }{\text{\LARGE 840}}}\)

Answer:

Option 2: 67.014

Step-by-step explanation:

Answer:

He will have it on the 15th day

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

Answer: y  =  4  −  2 x

Step-by-step explanation: :)

The probability that a person on the list, known to have a Mastercard, also has an American Express card is  50%.

To find the probability that a person on the list, known to have a Mastercard, also has an American Express card,  use conditional probability.

Let's denote the following probabilities:

P(M) represents the probability of having a Mastercard.

P(A) represents the probability of having an American Express card.

P(A|M) represents the conditional probability of having an American Express card given that the person has a Mastercard.

From the given information,

P(M) = 40% = 0.40 (40% of the people on the list have only a Mastercard).

P(A) = 10% = 0.10 (10% of the people on the list have only an American Express card).

P(M ∩ A) = 20% = 0.20 (20% of the people on the list have both Mastercard and American Express cards).

P(neither) = 30% = 0.30 (30% of the people on the list have neither card).

To find P(A|M), use the formula for conditional probability:

P(A|M) = P(M ∩ A) / P(M)

P(A|M) = 0.20 / 0.40

P(A|M) = 0.50

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