WILL MARK BRAINLIESTTT!! 50 POINTS!! PLS ANSWER IT WOULD MEAN THE WORLD!
Carlos opened a savings account with $400 and was paid simple interest at an annual rate of 9%. When Carlos closed the account, he was paid $108 in interest. How long was the account open for, in years?

There is a 20% chance that a risky stock investment will end up in a total loss. If you invest in 25 independent risky stocks, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

Given data:

Probability of getting a total loss in one investment = 20% = 0.20

Probability of not getting a total loss in one investment = 1 - 0.20 = 0.80

Number of investments = 25

We need to find the probability that fewer than six out of these 25 risky investments end up in total losses.

We will use the binomial distribution formula here:P(X < 6) = Σp(x) (from x = 0 to x = 5)

Here, Σ is the summation signp(x) = probability of x successes in 25 trials, which is given by the formula:

p(x) = [ nCx * p^x * (1-p)^(n-x)]

Where, n = number of trial

s = 25

p = probability of success = 0.80

q = probability of failure = 1 - p = 0.20n

Cx = n! / (x! × (n-x)!) = combination of n items taken x at a time

We need to substitute these values in the formula and calculate the probability:

P(X < 6) = Σp(x) (from x = 0 to x = 5)

P(X < 6) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

P(X < 6) = \([25C0 * (0.80)^0 * (0.20)^25] + [25C1 * (0.80)^1 * (0.20)^24] + [25C2 * (0.80)^2 * (0.20)^23] + [25C3 * (0.80)^3 * (0.20)^22] + [25C4 * (0.80)^4 * (0.20)^21] + [25C5 * (0.80)^5 * (0.20)^20]\)

P(X < 6) ≈ 0.91

Therefore, the probability that fewer than six of these 25 stocks end up in total losses is approximately 0.91.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Answer:

x = 11/3

Step-by-step explanation:

x2 + x = 11

Combine like terms

3x = 11

Divide both sides by 3

x = 11/3

it is a relatively easy way to draw a sample while ensuring randomness is the answer.

Systematic sampling is a probabilistic sampling method in which a researcher selects members of a population at regular intervals. For example, select every 15 people from the list of populations. If the population is in random order, this can mimic the benefits of a simple random sample.

These are generally preferred by researchers because they are easy to implement and understand. The important assumption that the results represent the majority of the normal population ensures that the entire population is sampled equally. The process also provides a higher level of control for systematic sampling compared to other sampling methods. systematic sampling also has a lower risk factor because the data is unlikely to be contaminated.

Learn more about systematic random sampling here:https://brainly.com/question/21100042

#SPJ4

Answer:

I think the answer is Answer: 1.17 per cup

Step-by-step explanation:

Work  

If one 1-pint is 2 cups

Then  2 *  8 = 16 cups

so then  $18.72 divided by 16

1.17 US

Hope this help pls like

Answer:

-0.48

Step-by-step explanation:

Trust me I took the test.

Answer:

multiply (-1.2)*(0.4) = -0.48

Step-by-step explanation:

k12

Answer:

Step-by-step explanation:

\(\frac{6}{\frac{3}{4}}\\ \\ 6\left(\frac{4}{3}\right)\\ \\ 8\ pieces\)

the ladder reach 14.13 feet high up the wall.

Anelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.

We have to calculate how high up the wall does the ladder reach.

Solution

We have to calculate how high up the wall does the ladder reach.

Let's assume that the height of the wall is h, and the distance between the ladder's foot and the wall is d.

The hypotenuse of the right-angled triangle (the ladder) is 16 feet.

The angle formed by the ladder and the wall is 61°.

We know that sine function of an angle is the ratio of the opposite side to the hypotenuse:

Therefore: Now we can calculate the height of the wall:

We get that the ladder reaches 14.13 feet up the wall (rounded to the nearest hundredth of a foot).

So, the answer is 14.13 feet.

For similar question on ladder.

https://brainly.com/question/29316136

Answer:

y=7x+-9

Step-by-step explanation:

Beth drinks 7.2 ounces of orange juice, she will consume approximately 408 milligrams of potassium.

To find out how many milligrams of potassium Beth will consume when she drinks 7.2 ounces of orange juice, we can set up a proportion using the given information.

Let's set up the proportion:

12 ounces of orange juice contains 680 milligrams of potassium.

7.2 ounces of orange juice will contain x milligrams of potassium (unknown).

Using the proportion:

12 ounces / 680 milligrams = 7.2 ounces / x milligrams

Cross-multiplying, we get:

12 × x = 7.2 × 680

Simplifying:

12x = 4896

Dividing both sides by 12:

x = 4896 / 12

x ≈ 408

We may build up a percentage using the above data to determine how many milligrammes of potassium Beth will ingest when she drinks 7.2 ounces of orange juice.

Let's establish the ratio:

680 milligrammes of potassium are present in 12 ounces of orange juice.

The amount of potassium in 7.2 ounces of orange juice is x milligrammes (unknown).

Making use of the proportion

7.2 ounces / x milligrammes is equal to 12 ounces / 680 milligrammes.

The result of cross-multiplying is: 12 x = 7.2 680

To put it simply: 12x = 4896

x = 4896 / 12 x equals 408 when both sides are divided by 12.

For similar questions milligrams of potassium

https://brainly.com/question/13321634

#SPJ8

it's the first one I hope I helped

In Each figure the total area is equal and the area of the 4 Traingles is equal, so the remaining white area in each figure must also be equal

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

Learn more about linear function:

https://brainly.com/question/29466726

#SPJ1

We are shown three pictures and asked to identify which one of them is not like others.

Let us find the ratio of width and length of each inscribed cricle.

Picture L:

Width = 3 units

Length = 4 units

Ratio = 3/4 = 0.75

Picture M:

Width = 4 units

Length = 8 units

Ratio = 4/8 = 0.50

Picture N:

Width = 9 units

Length = 12 units

Ratio = 9/12 = 0.75

As you can see, picture L and N has the same ratio of width and length that is 0.75 but the picture M has a different ratio of width and length that is 0.50

Therefore, we can conclude that picture M is not like others.

Answer:  Hence, the length of swimming pool is 52 m and its breadth if 25 m.  

Step-by-step explanation:

The perimeter of rectangular swimming pool is 154 m and its length is 2 meter more than twice its breadth.

The required answer is the predicted sales in this city would be $335.52 million.

a. The sample regression equation is:
Sales = 10.32 + 8.10(Population) + 7.55(Income)

b-1. The coefficient of population (8.10) represents the change in sales (in $1,000,000s) for every additional one million women over the age of 60. In other words, if the population of women over 60 increases by 1 million, the sales of Strong Bones will increase by $8.10 million.

The regression analysis is a set of statistical processes of the relationship is dependent variable and one or more independent variables .In this find the line and the most closely fits the data. This is widely used for the predication or forecasting.

b-2. The coefficient of income (7.55) represents the change in sales (in $1,000,000s) for every additional $1,000 increase in the average income of women over the age of 60. So, if the average income of women over 60 increases by $1,000, the sales of Strong Bones will increase by $7.55 million.
c. To predict sales if a city has 1.0 million women over the age of 60 and their average income is $42,000, substitute the given values into the regression equation:
Sales = 10.32 + 8.10(1) + 7.55(42)
Sales = 10.32 + 8.10 + 317.10
Sales = 335.52

The predicted sales in this city would be $335.52 million.

To know more about the regression. Click on the link.

https://brainly.com/question/31735997

#SPJ11  

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

To know more about summation follow

https://brainly.com/question/542712

#SPJ1

The rate at which the radius of the balloon is changing when its radius is 5 is approximately 0.0729 per minute.

To solve this problem, we can use the chain rule from calculus. Let's denote the radius of the balloon as r and the time as t.

Given:

- The balloon is being inflated at a rate of 23 per minute, which means the change in volume with respect to time is dV/dt = 23.

- We want to find the rate at which the radius is changing, which is dr/dt.

We know that the volume of a sphere is given by V = (4/3)πr³. To find the rate at which the radius is changing, we need to relate the rate of change of volume to the rate of change of the radius.

Differentiating both sides of the volume equation with respect to time (t), we get:

dV/dt = d/dt [(4/3)πr³]

To differentiate the right side of the equation, we can apply the chain rule:

dV/dt = (4/3)π * d/dt (r³)

Using the power rule for differentiation, we get:

dV/dt = (4/3)π * 3r²* dr/dt

Simplifying further, we have:

23 = 4πr² * dr/dt

Now we can solve for dr/dt:

dr/dt = 23 / (4πr²)

Substituting the given radius r = 5, we can calculate the rate at which the radius is changing:

dr/dt = 23 / (4π * 5²)

      = 23 / (4π * 25)

      = 23 / (100π)

      ≈ 0.0729 per minute

Therefore, when the radius of the balloon is 5, the rate of change of the radius is approximately 0.0729 per minute.

Learn more about volume here: https://brainly.com/question/21623450

#SPJ11

The p value for your hypothesis test is 0.0832.

To calculate the p-value for a hypothesis test, we need to know the null hypothesis, the alternative hypothesis, the test statistic, and the level of significance (alpha). Let's assume that the null hypothesis is that the percentage of American families owning stocks or stock funds is equal to 50%, and the alternative hypothesis is that it is not equal to 50%.

The test statistic for a hypothesis test of a proportion is given by:

z =   \(\frac{p-P}{\sqrt{\frac{P(1-P)}{n} } }\)

where p is the sample proportion (0.46), P is the hypothesized population proportion under the null hypothesis (0.5), n is the sample size (300), and sqrt denotes the square root function.

Plugging in the values, we get:

z =   \(\frac{0.46-0.5}{\sqrt{\frac{0.5*0.5}{300} } }\)    = -1.732

To find the p-value, we need to find the area under the standard normal curve to the left and right of the test statistic (since this is a two-tailed test). Using a standard normal table or calculator, we find that the area to the left of -1.732 is 0.0416, and the area to the right is also 0.0416 (since the standard normal curve is symmetric).

Therefore, the p-value for this hypothesis test is the sum of the areas in both tails:

p-value = 0.0416 + 0.0416 = 0.0832

Rounding to four decimal places, the p-value is 0.0832.

To learn more about hypothesis test here:

https://brainly.com/question/30588452

#SPJ4

Answer:

Hugh will go on 3 runs !

Step-by-step explanation:

12/4=4/6

Alan drive if he uses 4 gallons of gas is 75 miles distance

The following function calculates the distance (in miles) he travels on gallons of gas. D(g)=25g

Where D(g) is the distance traveled in gallons.

and g denoted the quantity of gasoline used

We are asked to calculate the distance traveled in three gallons of gasoline. To do this, we will set the value of g to 3 in our function.

D(3)=25 x 3 = 75

As a result, Chris's automobile traveled 75 miles on three gallons of petrol.

The length of the line segment connecting two places, for example, is the distance between them. a two-dimensional plane, which may also be  in a three-dimensional plane. In coordinate geometry, there are several forms of distance formulae.

Distance between two locations in a two-dimensional plane

Distance between two locations in a three-dimensional plane

Distance in 2D from a point to a line

2D distance between two parallel lines

3D distance from a point to a line

To  learn more about Distance from the given link:

https://brainly.com/question/15172156

#SPJ9

Answer:

370$

Step-by-step explanation:

4% of 250$ = 10

10 × 12 months = 120

120 + 250$ = 370$

Steps to solve:

q = s + t

~Subtract s to both sides

q - s = t

Best of Luck!

The length and width of the rectangle will be 2 and 8x + 12

Area of rectangle = 16x + 24.

A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.

A rectangle's area is found by multiplying its length and width together, so:

Area = length x width

Calculating the length and width of the rectangle -

Factoring out 2 from the equation -

Therefore -

2 (8x+12)

Since, the area is the length times width, thus -

2 x (8x+12)

Read more about rectangles on:

https://brainly.com/question/25292087

#SPJ4

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.

The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.

Lets us consider we have inequality 3x + 2 + x ≥ 10

We can solve the above inequality as given below

Here we will solve the inequality by Isolating the variable  

Step - 1

Add x term and constant terms

=> 4x + 2 ≥ 10   [ here 3x + x = 4x ]

Step - 2  

Bring out x terms at one side, and constant terms at another side by doing required operations like adding

=> 4x + 2 ≥ 10    [ here we will subtract 2 from both sides ]

=> 4x + 2 - 2  ≥ 10 - 2

=> 4x  ≥ 8  

Step - 3

Now isolate the variable to get the solution

=>  4x/4  ≥ 8/4         [ here divided by 4 ]

=> x  ≥ 2  

Therefore, the required solution is x ≥ 2    

Therefore,

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

Learn more about Inequalities at

https://brainly.com/question/28823603

#SPJ4

The global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Given function is `f(x,y)=11x−5y`We need to determine the global extreme values of the given function under the following conditions:y ≥ x - 3y ≥ -x - 3y ≤ 11Now, we need to find the critical points of the given function. For that, we'll calculate partial derivatives of the given function w.r.t x and y.`∂f/∂x = 11``∂f/∂y = -5`As we can see, the partial derivative of the function w.r.t x is positive. Therefore, the critical points of the given function would be the points where `∂f/∂y = -5 = 0`.Since there's no such point satisfying the above equation under given conditions, we can say that there's no critical point under given conditions.Now, let's evaluate the function at the boundaries given:At `y = x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(x - 3)``= 6x + 15`At `y = -x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(-x - 3)``= 16x + 15`At `y = 11`, `f(x,y) = 11x - 5y``= 11x - 5(11)``= 11x - 55`Now, to find the maximum value of `f(x,y)` under given conditions, we need to choose the maximum value among the above calculated values.In this case, `f(x,y)` is maximum at `y = -x - 3`, which is `16x + 15`.Therefore, the maximum value of `f(x,y)` under given conditions is `16x + 15`.Similarly, to find the minimum value of `f(x,y)` under given conditions, we need to choose the minimum value among the above calculated values.In this case, `f(x,y)` is minimum at `y = 11`, which is `11x - 55`.Therefore, the minimum value of `f(x,y)` under given conditions is `11x - 55`.Hence, the global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

Read more about   quadratic here:https://brainly.com/question/1214333

#SPJ11

Answer:

4800

Step-by-step explanation:

4773

The 3 is the ones digit.

The 7 to the left of the 3 is the 10s digit.

The 7 (in bold) to the left of the other 7 is the hundreds digit.

1. Make all digits to the right of the hundreds digit 0.

4700

2. We need to find out if we end up with 4700 or 4800.

Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.

Answer: 4800