The table shows the deposits, withdrawals, and balance of Rachel's bank account for a particular week. As of the end of Monday, the balance was $140. Some transactions are missing.

Which statements beta describe the transactions in Rachel’s account ? Select ALL that apply .

1) On Friday , $40 was deposited in the account
2) On Thursday , the account balance was -$40
3) On Tuesday , $35 was deposited in the account
4) On Friday , the amount deposited was more than $40
5) On Wednesday, no money was withdrawn from the account .

Please help ASAP .

The probability that the participant was a nonsmoker is 25%.

Given that at the beginning of a certain study of a group of persons, 15% were classified as heavy smokers, 30% as light smokers, and 55% as nonsmokers, and in the five-year study, it was determined that the death rates of the heavy and light smokers were five and three times that of the nonsmokers, respectively, to calculate, if a randomly selected participant died over the five-year period, the probability that the participant was a nonsmoker, the following calculation must be performed:

Therefore, the probability that the participant was a nonsmoker is 25%.

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Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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Question 1a

Given: A = 40°, B = 20°, a = 2

40° + 20° + C = 180°

⇒ C = 120°

[tex]\dfrac{2}{\sin 40}=\dfrac{b}{\sin 20}=\dfrac{c}{\sin 120}[/tex]

[tex]\implies b=\sin20 \cdot\dfrac{2}{\sin 40}=1.064177772...[/tex]

[tex]\implies c=\sin 120 \cdot \dfrac{2}{\sin 40}=2.694592711...[/tex]

----------------------------------------------------------------------

Question 2b

Given: A = 50°, C = 20°, a = 3

50° + 20° + B = 180°

⇒ B = 110°

[tex]\dfrac{3}{\sin 50}=\dfrac{b}{\sin 110}=\dfrac{c}{\sin 20}[/tex]

[tex]\implies b=\sin 110 \cdot\dfrac{3}{\sin 50}=3.680044791...[/tex]

[tex]\implies c=\sin 20 \cdot\dfrac{3}{\sin 50}=1.339426765...[/tex]

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Question 3c

Given: B = 70°, C = 10°, b = 5

70° + 10° + A = 180°

⇒ A = 100°

[tex]\dfrac{a}{\sin 100}=\dfrac{5}{\sin 70}=\dfrac{c}{\sin 10}[/tex]

[tex]\implies a=\sin 100 \cdot \dfrac{5}{\sin 70}=5.240052605...[/tex]

[tex]\implies c=\sin 10 \cdot \dfrac{5}{\sin 70}=0.9239626545...[/tex]

----------------------------------------------------------------------

Question 4d

Given: A = 70°, B = 60°, c = 4

70° + 60° + C = 180°

⇒ C = 50°

[tex]\dfrac{a}{\sin 70}=\dfrac{b}{\sin 60}=\dfrac{4}{\sin 50}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{4}{\sin 50}=4.906726388...[/tex]

[tex]\implies b=\sin 60 \cdot \dfrac{4}{\sin 50}=4.522063499...[/tex]

Answer:

3cm

Step-by-step explanation:

uhh i drew it but i cant show picture hope this is right tho!!!

Answer:

Step-by-step explanation:

Area=bh/2=64, b=2h --->h2=64 --> h=8 (positive root) and b=16.

Answer:

MPG is miles per gallon so we just need to divide the miles by the gallons

345/16=21.56

so i guess a?

i mean thats rounded wrong but its the closes one

a

Hope This Helps!!!

Answer:

The answer should be A. [tex]x \in (-\infty,\, 2)[/tex].

Step-by-step explanation:

Start with the second inequality, which is more straightforward than the first. Add [tex]3[/tex] to both sides of this equation to separate [tex]x[/tex] from the numbers:

[tex]x - 3 + 3 \le -1 + 3[/tex]. The direction of the inequality sign shall stay the same.

[tex]x \le 2[/tex].

On the other hand, simplifying the first inequality takes a bit more work. Start by dividing both sides by [tex](-3)[/tex]. However, keep in mind that dividing or multiplying both sides of an inequality with a negative number will invert the direction of the inequality sign. For example, the left-hand side of an inequality might have been greater than the right-hand side. When both sides are multiplied with a number less than zero, the new left-hand side would become smaller than the new right-hand side.

Because [tex](-3)\![/tex] is a negative number, dividing both sides of the first inequality inequality by [tex](-3)[/tex] will turn the "greater-than" sign into a "less-than" sign.

The inequality used to be:

[tex]-3\, (x + 2) > 15[/tex].

After dividing both sides by the negative number [tex](-3)[/tex], it becomes:

[tex]\displaystyle \frac{(-3)\, (x + 2 )}{(-3)} < \frac{15}{(-3)}[/tex].

[tex]\displaystyle (x + 2) < -5[/tex].

[tex]x < -7[/tex].

The question connected the two original inequalities with "or". Therefore, the conditions will be satisfied as long as either of at least one of the two inequalities is true. Note, that [tex]x < 2[/tex] is true whenever [tex]x <-7[/tex] is true. Therefore, any real number that is smaller than [tex]2[/tex] will meet the requirements- not just those that are smaller than [tex](-7)[/tex].

The corresponding interval will be [tex](-\infty,\, 2)[/tex].

Answer:

(7, 9)

Step-by-step explanation:

The (x-7) indicates that the graph will be shifted to the RIGHT 7 units. The +9 at the end of the equation means the graph will be shifted UP 9 units.

So the point (0,0) will land at (7,9)

Answer:

my 8k is a responsibility to ensure the correct

Step-by-step explanation:

I hope personally is am jare for you and I hope that it is possible that I

Answer:

x = 12

Step-by-step explanation:

ΔABC is a right triangle, therefore we can use Pythagoras' Theorem to find the value of x.

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Therefore,

Substitute these values into the equation and solve for x:

⇒ x² + 16² = 20²

⇒ x² + 256 = 400

⇒ x² = 400 - 256

⇒ x² = 144

⇒ x = √(144)

⇒ x = ±12

As length is positive, x = 12 units (only)

Answer:

-6 -4

Step-by-step explanation:

Answer:

The correct answer is, F-1(x) = 5(x-3)/3

Step-by-step explanation:

The inverse of given function f(x) = 3-x/5 would be equal to 3(x - 5)/5

Suppose that the given function is [tex]f:X\rightarrow Y[/tex]Then if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is ;

[tex]f^{-1}: Y \rightarrow X[/tex]

We have been given a function of x as ; 3-x/5.

To find the inverse we will just switch x and function of x with each other.

That means we have;

x = 5/3  f(x) + 5

5/3 f(x) = x - 5

f(x) = 3(x - 5)/5

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Answer:

5 cm

Step-by-step explanation:

Area of a circle: [tex]\pi r^{2}[/tex]  {r=radius}

[tex]\pi r^2=65.71cm2[/tex]

[tex]r^2=65.71/3.14[/tex] [tex](\pi =3.14)[/tex]

[tex]r^2=20.92[/tex]

[tex]r=\sqrt{20.92} =4.57cm[/tex]

[tex]r=4.57=5cm[/tex]

[tex]r=5cm[/tex]

[RevyBreeze]

Answer:

There is a 50% chance that the random number generator picks an even number

Step-by-step explanation:

Out of all the numbers between 1 and 100, 50 out of the 100 numbers are odd and 50 out of the 100 numbers are even.

Answer:

4x + 7y - 28 = 0

Step-by-step explanation:

Answer:

270 mL of pure alcohol is needed.

Step-by-step explanation:

In 540 mL of the mixture, you have 540*10% = 54 mL of pure alcohol.

If you add x mL pure alcohol, then you have (540 + x) mL solution, in it there is (54 + x) mL of pure alcohol

so (54 + x)/(540 + x) = 40%

Then

54 + x = 0.4(540 + x)

54 + x = 216 + 0.4 x

0.6x = 216 - 54 = 162

x = 162/0.6 = 270 mL

Answer:

approximately 17

Step-by-step explanation:

Answer:

16.97m

Step-by-step explanation:

We know that, all the 4 sides of a square are equal.

Given that,

Perimeter of the square is 48m

First, let us find the length of a side the square.

For that, let the length of a side be x.

Therefore,

x + x + x + x = 48

4x = 48

Divide both sides by 4.

x = 12 m

Now let us find the length of the diagonal using Pythagorean theorem.

For that let the length of the diagonal be y.

So,

12² + 12² = y²

144 + 144 = y²

288 = y²

√288 = y

16.97 m = y

Therefore,

The length of the diagonal is 16.97m

Answer:

x = 6

Both the angles are equal

7x + 4 = 9x - 8

9x - 7x = 4 + 8

2x = 12

x = 6

Solution:

We know that:

This means that:

Step-by step calculations:

Open the parenthesis:

Subtract 7x both sides:

Add 8 both sides:

Divide 2 both sides:

Answer:

where where is it

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

a = 5

Step-by-step explanation:

a = 5

all you have to do is divide both sides by 3

Answer:

A=5

Step-by-step explanation:

Divide each term by 3 and simplify :)

Hope I helped!

Answer:

The correct answer is 2:1 :)

Answer:

4:2

Step-by-step explanation:

Answer:

4 mL

Step-by-step explanation:

Multiply .25 by 2 because you are dispensing it twice a day.

.25 x 2 = .5, so you dispense .5 mL a day.

Now, multiply .5 mL a day x 8 days.

.5 x 8 = 4

Therefore, you should dispense 4 mL.

The equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x.

Based on the information given, the equation that shows the number of minutes, x, it will take for the tank and the container to have the same amount of water will be 340 - 6x = 6x. Therefore, the number of minutes will be:

340 - 6x = 6x

Collect like terms

340 = 6x + 6x

340 = 12x

x = 340/12

x = 28.33 minutes.

In 28.33 minutes, they'll have the same content.

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Answer:

yes i am

Step-by-step explanation:

thank you for noticing my style

"bc is twice half of angle D"

Answer:

1. 48x+6

2.36+48x

3.48x+32

4.36+48x

I think it will help you.

Answer:

perimeter= a+b+c

Step-by-step explanation:

perimeter= 4+8+4= 16cm

Answer:

[tex]\displaystyle y = -3x + 9[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]

I am joyous to assist you at any time.

Answer:

to much math

Step-by-step explanation:

Hilary trip is an illustration of a scalene triangle

The triangle that represents Hilary's trip can be classified by the side lengths.

From the figure, the side lengths of the triangles are:

919 miles, 586 miles and 1212 miles

The lengths are not equal.

Triangles that do not have equal side lengths are scalene triangles

Hence, the triangle that represents Hilary's trip is a scalene triangle

To do this, we simply calculate the perimeter of the triangle.

So, we have:

P = 919 miles + 586 miles + 1212 miles

P = 2717 miles

Hence, Hilary completed 2717 miles

Read more about scalene triangles at:

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Never gonna give you up, never gonna let you down, never gonna run around and dessert you.