Sharon wants to open a checking account from which to pay bills. She wants online services, and a debit card, which both banks provide for free. Based upon past experience, she expects to accidentally overdraft the account 1 time per year, due to unexpected charges and miscommunications. She expects no 2nd copies of statements, and to use network ATMs 4 times per month with either bank. She has $3300 in an emergency savings account at First State Bank, and thinks that the balance will be enough to cover overdrafts in the future if automatic transfers are made when needed.

Answer:

P [ Z > 13 ] = 0,1587       or       P [ Z > 13 ] = 15,87 %

Step-by-step explanation:

The probability that the line pressure will exceed 13.0 bar is:

P [ Z > 13 ] = 1 - P [ Z ≤ 13]

And  P [ Z ≤ 13] will be find in z table for z (score) =

z ( score) = ( Z - μ₀ ) / σ

z (score) = (13 - 12 )/1

Then from z-table we find

P [ Z ≤ 13] = 0,8413

Finally

P [ Z > 13 ] = 1 - P [ Z ≤ 13]

P [ Z > 13 ] = 1 - 0,8413

P [ Z > 13 ] = 0,1587       or       P [ Z > 13 ] = 15,87 %

Answer: it takes half a pound of wild flour to cover 1 square foot

Step-by-step explanation:

Answer: 0.5

4 ÷ 8 = 0.5

This means that 0.5 of wildflower seed covers 1 square foot.

This means that 1 square foot will be covered by 0.5 pounds of birdseed.

Hope this answer helps!

Answer:

26 multiplied by 20 is 529 which is the area

Step-by-step explanation: hi

Answer:

4.332 x 10 to the 3 power I do believe

Step-by-step explanation:

Answer:

4.332 times 10^3

Step-by-step explanation:

ion kno if thats right but i tried.

Answer:

AAS

Step-by-step explanation:

It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!

Answer:

225776

Step-by-step explanation:

Trust me i got it right.

Answer:

Piecewise functions are functions that behave differently in different regions of the domain.

One example that you may see in your city is the case of the street illumination, such that can be modeled as:

x = time

Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:

f(x) = 0 if x1 < x < x0

f(x) = 1 if x0 ≤ x ≤ x1

Where f(x) represents the intensity of the light at the time x.

Between x1 and x0, the lights are not working, so the illumination that they provide is zero.

Between x0 and x1 the lights are turned on, so the illumination is 1.

Another example can be the accurate description of the velocity of a car as a function of time.

For some pieces, the car will be stopped (maybe in a red light)

For some pieces, the car will be moving slow (maybe there is a lot of traffic)

For some pieces, the car will be moving fast or accelerating (in an empty street).

So we can define this motion as a piecewise function that obviously will depend on how the car moves.

Answer:

-3

Step-by-step explanation:

Answer:m= -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -2x+5

From the point (4,-3) , ince the slope is -2, you start counting 2 up 1 left  2up 1 left.....( or 2down,1 right,2 down 1 right......) But you choose the first to know when you are going to cross the y line

When you reaches the y coordinate you are at 5

So the line intercepts at positive 5

Answer: I think it’s J, because the picture is also holding the smallest finger up (the pinky) and the rest of the fingers are folded inside the palm of the hand and the thumb is folded over them, I hope this helps!!

Step-by-step explanation:

The letter J is a counter example. Option a is correct.

Letters of alphabet to be determine.

Alphabets are the sets of letters from A to Z.

Here, the little finger is up and all the finger is folded and the thumb folded over the three finger implies its 'J'.

Thus, the letter J is a counter example.

Learn more about alphabets here:
https://brainly.com/question/20261759

#SPJ2

Answer:

4

Step-by-step explanation:

Looking at the sketch we can formulate 2 equations:

Pythag: [tex]b^{2} +c^{2} =a^{2}[/tex]

Area of triangle= [tex]\frac{1}{2} bc[/tex]

But area also = [tex]a^{2} +b^{2} -c^{2}[/tex] (from the question)

Therefore [tex]\frac{1}{2} bc[/tex] =  [tex]a^{2} +b^{2} -c^{2}[/tex]

But we can sub in the expression for [tex]a^{2}[/tex] from pythag. ([tex]b^{2} +c^{2} =a^{2}[/tex])

[tex]\frac{1}{2} bc= b^{2} +c^{2} +b^{2} -c^{2}[/tex]

[tex]\frac{1}{2} bc=2b^{2}[/tex]

[tex]bc=4b^{2}[/tex]

[tex]c=4b[/tex]

[tex]c/b= 4b/b=4[/tex]

Answer:

0.1241.

Step-by-step explanation:

So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.

So, we will be making use of the formula given below;

The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².

The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.

Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.

Answer:

4/8

Step-by-step explanation:

Just subtract

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

Answer:

y=3x+1

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

Answer:

(-4,3),(2,-12)

slope = (-12 - 3) / (2 - (-4) = -15/6

Step-by-step explanation:

y = mx + b

slope(m) = -15/6

use either of ur points...(-4,3)...x = -4 and y = 3

now we sub into the formula and find b, the y int

3 = -15/6(-4) + b

3 = 10 + b

3 - 10 = b

-7 = b

so ur equation is : y = -15/6x - 7....but we need it in standard form

y = -15/6x - 7...add 15/6 to both sides

15/6x + y = -7...multiply both sides by 6

15x + 6y = -42....which reduces to 5x + 2y = - 14 <===

Answer:

0 - 28 = -28

Step-by-step explanation:

To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.

Answer:

C

Step-by-step explanation:

Answer:

M1=108° M2=72°

Step-by-step explanation:

M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°

Answer:

-25

Step-by-step explanation:

-25 because a positive and a negative equals a negative and if you subtract those to number it equal -25 ( it also gets closer to zero so it's not in the positives yet!)

Answer:

-30 + 5 = -25

Step-by-step explanation:

30 - 5 = 25

so

-30 + 5 = 25

Answer:

Step-by-step explanation:

at most 1.

8(3x - 6) = 6(x + 8)

24x - 48 = 4x + 48                   Subtract 4x

24x - 4x - 48 = 4x -4x + 48      Combine

20x - 48 = 48                           Add 48 to both sides.

20x = 96                                 divide by 20

x = 96/20

x = 4.8

No other answer is possible.    

Answer:

Yes, this relation is a function.

Step-by-step explanation:

It is a function because every input (left side) only has one output (right side). It doesn't matter if an output has multiple inputs. As long as an input has only one output, it is a function

Ex: 3 = 8 & 7     NOT an input

4 & 3 = 8          AN input

Answer:

Solution: x=5, y=4

Step-by-step explanation:

System of Equations

We need to solve:

- 5x + 9y = 11

x - 3y = - 7

There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:

x = - 7 + 3y

Now replace it into the first equation:

- 5(- 7 + 3y) + 9y = 11

Operate:

35 - 15y + 9y = 11

Simplify:

35 - 6y = 11

Rearrange:

- 6y = 11 - 35 = -24

Solve:

y = -24 / -6

y = 4

Finally, since

x = - 7 + 3y

x = - 7 + 3*4

x = - 7 + 12

x = 5

Solution: x=5, y=4

Answer:

Step-by-step explanation:

It's besacilly asking what percentage of 90 is 15

15/90 is equal to 1/6

1/6 is about 16.67

Answer:

Step-by-step explanation:

Answer:

$80 is the 100% original price

The sale price is $56 with 30% off and $24 in savings.

Step-by-step explanation:

We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of  comparing percent and  comparing the 24 to the original price. We then set them equal.

We then cross multiply across the equal sign from numerator to the opposite numerator.

30(x)=24(100)

30x=2400

We divide to find x.

x=80.

Since we saved $24 as a discount, the sale price would be 80-24=56.

Answer: Ball's kinetic energy became potential energy

Step-by-step explanation:

There are no options attached but this should be along the lines of what happened.

Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.

The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

Answer:

The amount of money invested at 15% = 30,000

The amount of money invested at 5% = 30,000

Step-by-step explanation:

Calculation for How much money should be invested

Let x dollars = 15%,

Let y dollars= 5%,

x + y = 60,000

0.15x + 0.05y = 6,000

Multiply the 1st Equation by -0.15:

-0.15x - 0.15y = -9,000

0.15x + 0.05y = 6,000

Add the 2 Equations :

-0.1y = -3,000

y=3,000/0.1

y = 30,000

Substitute 30,000 for y in the 1st Equation

x + 30,000 = 60,000

x = 60,000 - 30,000

x= 30,000

PROOF:

.15*30,000+.05*30,000=6,000

4,500+1,500=6,000

6,000=6,000

Hence,

The amount of money invested at 15% = 30,000

The amount of money invested at 5% = 30,000