Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week

Answer:

Step-by-step explanation:

Binomial Probability

P(x) =  n!/(n-x)!x! * p^x q^(n-x)

P(x) = probability there will be x required outcomes (here x is 3)

n = number of trials (here it is 10)

p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).

q = probability of required outcome not occurring on a single roll.

p = 1/6

q = 1 -1/6 = 5/6

n = 10

x = 3

So the required probability

= 10!/ 7!3! (1/6)^3 (5/6)^7

= 0.155.

Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

Answer:1.07

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x + 2y = 6, multiply by 2 = 2x + 4y = 12

2nd equation:                    2x - 3y = 26

It has one solution

Answer: One solution

Step-by-step explanation:

Convert both equations into slope-intercept form:

x+2y=6

2y=6-x

[tex]y=\frac{6-x}{2}[/tex]

Slope = 6/2 = 3

2x-3y=26

y=2x-26/3

Slope = 2/3

Therefore, he system of equations have one solution because their slopes are not equal.  

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

Answer:

8

Step-by-step explanation:

g(x) = 2x + 2

g(3) = 2*3 + 2             Substitute 3 for x.

g(3) = 6 + 2                 Multiply.

g(3) = 8                       Add.

Answer:

g(3) = 11

Step-by-step explanation:

Substitute x = 3 into g(x) , that is

g(3) = 3² + 2 = 9 + 2 = 11

D) a side of one is congruent to side of the other

Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)

Now we only need one side of it congruent .

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17

If we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

The given quadratic expression is:

[tex]3x^2-6x-2[/tex]

To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below

Rewrite [tex]3x^2-6x-2[/tex] as  [tex]3x^2-6x+3-5[/tex]

Factorize common terms

[tex]3(x^2-2x+1)-5[/tex]

This can be further simplified as:

[tex]3(x-1)^2-5[/tex]

Therefore, the vertex form of the equation  [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]

Compare [tex]3(x-1)^2-5[/tex] with  [tex]a(x-h)^2+k[/tex]

a = 3, h = 1, k = -5

a  +  h  +  k  =  3  +  1 - 5

a  +  h  +  k  =  -1

Therefore if we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

Learn more on vertex form of a quadratic equation here: https://brainly.com/question/17987697

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

Answer:

x (Fancy Gold fish) = 3

y (Common goldfish) = 29

Step-by-step explanation:

Fancy goldfish x cost $3 each

common goldfish y cost $1 each

Graph: y  = 20 +  3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)

Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).

Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1

Using either values to solve the equation, we get:

x = 3

y = 29

Hope this helps!

Answer:

Step-by-step explanation:

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

Answer:

150˚

Step-by-step explanation:

To find the supplement of a 30˚ angle, we need to know what an supplement in geometry is.

A supplement is when two angles add up that results in 180

So what value adds to 30˚ will get 180?

To find out that we just subtract 180 with 30

Which is 150

Thus the Supplement of a 30˚ angle is 150˚

Hope this helps!

Answer:

Answer: f(-7) = -167

Step-by-step explanation:

[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]

• When x is -7, f(x) is f(-7):

[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]

Based on the calculations, the evaluation of this function is equal to -167.

Given the following data:

In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.

Note: The value of x is equal to -7.

Substituting the given parameter into the function, we have;

[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]

f(-7) = -167.

Read more on function here: https://brainly.com/question/10439235

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

2/3 x 9/8 = 18/24 = 3/4

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

Answer:

The answer is t^-1 (r)=120r/120-r

i hope this is right sry if im wrong have a good day :)

The inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

According to the question

Janine is building a circuit that contains two lightbulbs in parallel.

One of the lightbulbs has a resistance of 120 ohms.

R = 120ohms

r = resistance of the second lightbulb

t = total resistance in the circuit  

[tex]t = \frac{120r}{r+120}[/tex]

Now,

The inverse of Janine's equation in which we will make r independent

[tex]t = \frac{120r}{r+120}[/tex]

[tex]t(r+120) = 120r[/tex]

[tex]tr + 120t = 120r[/tex]

[tex]120t = 120r - tr[/tex]

[tex]120t = r(120-t)[/tex]

[tex]r = \frac{120t}{120-t}[/tex]

Hence, the inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .

To know more about  resistance here:

https://brainly.com/question/11431009

#SPJ2

Answer:

1 I don't know if those are questions but try if they are try the first one a

Answer:

0

Step-by-step explanation:

-2-(5-3)+4

-2-2+4

-4+4

0

Answer:

a) 900 dollars

b) 5900 dollars

Step-by-step explanation:

The complete question is

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

Answer:

MOREEE

Step-by-step explanation:

Answer:

17$

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

Answer:

Subtract 2x from each side, Subtraction Property

Step-by-step explanation:

The correct option is (B).24 miles.

Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.

Otherwise, just use the basic formula:

[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]

 Given that,

[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).

Since z-score must be Less than 1.5, So

[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]

[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]

I just used normal cdf and got [tex]23.6<x<34.4[/tex].

Hence the correct option is (B).24 miles.

For more details on z score follow the link:

https://brainly.com/question/13299273

Answer:

B

Step-by-step explanation:

Correcct on edge22

Answer: The answer is X equals 10 2/3.

Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.

Answer:

Answer in the image

Step-by-step explanation: