On March 1st Kendra’s checking account had a balance of $325.31. She wrote a check for $24.85, withdrew $40 from the ATM, and deposited $15. What was Kendra’s balance after these transactions?

According to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, we had  where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

A distribution of scores on an aptitude test is Normally distributed with a mean of 80 and a standard deviation of 5.

[tex]\mu=80\\\sigma=5[/tex]

The percentage for the interval of values between 75 and 85 has to be found out. From the 68%, the interval is,

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(80 - 5 < X < 80+ 5) = 68\%\\P(75 < X < 85) = 68\%[/tex]

Thus, according to the Empirical Rule (68-95-99.7% Rule), approximately 68% percent of the values will be between 75 and 85.

Learn more about empirical rule here:

https://brainly.com/question/13676793

#SPJ1

Answer:

first thing: 1/2=2/4

then we change -3/4+1/2 to -3/4+2/4 (it's the same thing)

then it's gonna be -3+2/4

answer= -1/4

Answer: 7

Step-by-step explanation:

by following the rule that the sum of two sides must exceed that of the last, a. is true and b. is false

Answer:

pie * r^2 bro where r= 10mi

Answer:

Step-by-step explanation:

lines cut by a transverse line which make angle x and y alternate exterior angles

Answer:

slope=1.200/2000=0.600

x-intercept =7/3=2.3333

y-intercept =7/-5--1.40000

Step-by-step explanation:

the x and y intercept and the aloe are called line of properties.

y tells us how far the line goes

x tells us how far it goes

m is the slope of gradient i.e. how steep the like is

bis y-intercept i.e. where the line line crosses the y

Answer:

16.

Step-by-step explanation:

48 - 32 = 16

So there are 16 in both category a and category b.

8 will be in category a only, and 8 in category b only.

Total = 8 + 8 +16 = 32.

this question is unambiguous.

Check the picture below.

Answer:

20

Step-by-step explanation:

First, consider (0,2) and (8,2).  The y-value is the same for both points.  x ranges from 0 to 8, so the length of this horizontal side of the triangle is (8-0), or 8.

Again, this horiz. side has a y-value of 2.

The third point is (4,-3).  Therefore the vertical distance from the horizontal line to the third point is 2 - (-3), or 5.

Thus, the "base" of the triangle is 8 and the "height" is 5.

The area is  A = (bh)/2.  Substitute the values 8 and 5.  Simplify your result.  Answer:  20 square units.

radius (r) = 15m

height (h) = 7m

[tex]\pi {r}^{2} h[/tex]

[tex] \frac{22}{7} \times (15) \times (15) \times 7 \\ \\ = 22 \times 225 \\ \\ = 4950[/tex]

Answer: 21 is the range

Step-by-step explanation: You keep asking questions about things like this so I deliver

Range is the Largest number and then subtract it by the smallest number, the largest is 44 and smallest is 23 so 44 - 23 is 21

By using an excel spreadsheet and IRR function, the cross over rate = 14.85%

Year           Cash Flow (A)           Cash Flow (B)

0                    -58,000                   -58,000

1                      34,000                     21,200

2                     28,000                     25,200

3                     20,000                     30,000

4                      13,600                     25,200

using an excel spreadsheet and the IRR function:

Project A's IRR = 28.3%

Project B's IRR = 25.7%

(b) If you apply the IRR decision rule, which project should the company accept?

Project A (its IRR is higher)

Requirement 2:

(a) Assume the required return is 14 percent. What is the NPV for each of these projects?

using an excel spreadsheet and the NPV function:

Project A's NPV = $14,921.37

Project B's NPV = $15,156.64

(b) Which project will you choose if you apply the NPV decision rule?

Project B (its NPV is higher)

Requirement 3:

(a) Over what range of discount rates would you choose Project A?

higher than 14.85%

(b) Over what range of discount rates would you choose Project B?

lower than 14.85%

(c) At what discount rate would you be indifferent between these two projects?

crossover rate calculation

Year           Cash Flow (A)           Cash Flow (B)       differential amount

0                    -58,000                   -58,000                       $0

1                      34,000                     21,200                     $12,800

2                     28,000                     25,200                     $2,800

3                     20,000                     30,000                  -$10,000

4                      13,600                     25,200                   -$11,600

using an excel spreadsheet and IRR function, the cross over rate = 14.85%

To know more about IRR function follow

https://brainly.com/question/24765495

#SPJ4

Answer: it’s all about the angle and length of it

Step-by-step explanation:

1st get sumthing that’s as long as that

2st do u see the point and what it’s touching use that follow alone with it

3

Answer:

they warned me and deleted my answer  for no reason i think its because i sent a link to a calculator

Step-by-step explanation:

but the answer is the last one yes

The legs of a right triangle are lengths 48cm and 55cm. So, the length of the hypotenuse is 73 cm.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The legs of a right triangle are lengths 48cm and 55cm.

Let ABC be the right angle triangle and AB is the hypotenuse.

To find the length of the hypotenuse we will use the Pythagoras theorem,

[tex]AB^2 = BC^2 + AC^2\\\\AB^2 = 48^2 + 55^2\\\\AB^2 = 2304 +3025\\\\AB^2 = 5329\\\\AB = \sqrt{5329} \\\\AB = 73[/tex]

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ1

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The given sequnce is not geometric.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.

The common ratio of the sequnce is given by;

[tex]\rm Common \ ratio =\dfrac{a_2}{a_1}=\dfrac{-4}{2}=-2\\\\Common \ ratio =\dfrac{a_3}{a_2}=\dfrac{-16}{-4}=4[/tex]

The common ratio between terms is not same.

Hence, the given sequnce is not geometric.

Learn more about geometric sequmce here;

https://brainly.com/question/281715

#SPJ4

Answer:

7!

Step-by-step explanation:

The awnser would be 7 as 7 goes into 14 and so does 7!

The angle OBC is 90 degrees, the equation is 18r = 144, r = 8 feet, and the length of the AB is 16 feet which is the length of the red sail in the logo.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have the figure shown in the picture with dimensions.

a) As we can see, the AOB is the diameter of the circle which is perpendicular to the CBD

So the angle ∠OBC will be a right angle.

∠OBC = 90 degree.

b) Length OE is the radius of the circle.

Let's suppose OE = r

Then in a right angle triangle OBC where ∠OBC = 90 degrees.

Applying Pythagoras theorem:

OC² = CB² + OB²

(CE + OE)² = CB² + OB²

CE = 9 ft, OE = r, CB = 15 feet, and OB = r (radius of the circle)

(9 + r)² = 15² + r²

81 + 18r + r² = 15² + r²

18r = 144

r = 8 feet

OE = r = 8 feet

c)

As the angle ∠OBC = 90 degrees, that's why the triangle OBC becomes a right angle triangle and OB⊥CB.

d)

In the circle, there is a red triangle, we can find one of the lengths of the triangle which is AB.

AB is the diameter of the circle

r = 8

Diameter AB = double the radius = 2(8) = 16 feet

AB = 16 feet

Thus, the angle OBC is 90 degrees, the equation is 18r = 144, r = 8 feet, and the length of the AB is 16 feet which is the length of the red sail in the logo.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Answer:

2 I guess or what you mean with replace

Step-by-step explanation:

but you replace it you still have the 5 apple so not sure

Error Function of z {erf(z)}

Step-by-step explanation:

It is a much used function in statistics, fluid mechanics and thermodynamics.

It just tells the probability.

The quadrilateral that is described with the given properties is known as; Rhombus

A quadrilateral is defined as a closed shape and a type of polygon that has four sides, four vertices and four angles.

Now, we are told that at least  at least two pairs of consecutive sides are congruent, diagonals are perpendicular to one another.

The only quadrilaterals that fit into thus definition are square and rhombus.

Now, we are told that the quadrilateral cannot be inscribed in a circle. A square can be inscribed in a circle but not a rhombus and as such we can say that the quadrilateral with the given properties is a rhombus,

Read more about Quadrilaterals at; https://brainly.com/question/5715879

#SPJ1

The system of equation has no solution.Because the variables in the given equation got canceled during substation.

We do the identical actions on both sides to ensure that both expressions remain equal. Solving equations entails determining the values of the variables involved for which the equation is valid.

The given equation is;

Equation 1;

[tex]\rm 2x-y=11[/tex]

Equation 2;

[tex]\rm 6x-3y=15[/tex]

From the equation 1 find the value of the y and put in the equation 2 as;

[tex]\rm y=2x-11[/tex]

[tex]\rm 6x-3y=15 \\\\\ 6x-3(2x-11)=15 \\\\\ 6x-6x-33=15[/tex]

From the above equation, it is observed that the variables in the equation got canceled.

Hence, the system of equation has no solution.

To learn more about the equation, refer to the link;

https://brainly.com/question/10413253

#SPJ1

Answer:

false

Step-by-step explanation:

Answer: is to

Step-by-step explanation:

Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Answer:

hence the midpoint of AB is 1/2,1

Step-by-step explanation:

A(-2,5)

B(3,-3)

now midpoint of AB is given by

[tex]mid \: point \: of \: ab = (\frac{ - 2 + 3}{2} ) \: ( \frac{5 - 3}{2} ) \\ = ( \frac{ 1}{2} ) \: (1)[/tex]