PLSSSS HELP IF YOU TRULY KNOW THISSS

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

Learn more about probability  at:

https://brainly.com/question/30034780

#SPJ1

Answer:

Stacy rented a truck for one day there was a base fee of $16.95 and there was an additional charge of 93 cents for each model driven. stacy had to pay $143.43 when he returned the truck. for how many miles did she drive the truck​

Step-by-step explanation:

Let's start by subtracting the base fee from the total cost:

$143.43 - $16.95 = $126.48

Now, we can divide the remaining cost by the cost per mile:

$126.48 ÷ $0.93/mile ≈ 136 miles

Therefore, Stacy drove the truck for approximately 136 miles.

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer:

210

Step-by-step explanation:

When you have questions that says evaluate [insert equation here] and it gives you variables thats inside the equation, replace the equation with that value.

The question is telling you that k is equal to -8 and x is equal to -9. So replace k and x with their numerical values so you can proceed with math.

-2(3k+9x) turns into: -2(3(-8)+9(-9)).

-2(3k+9x) (or -2(3(-8)+9(-9))) evaluates to 210.

Answer:

The choose;

\(3 \frac{9}{10} \)

Step-by-step explanation:

\(2 \frac{3}{5} \div \frac{2}{3} \\ \\ = \frac{13}{5} \div \frac{2}{3} \\ \\ =\frac{13}{5} \times \frac{3}{2} = \frac{39}{10} \\ \\ = 3 \frac{9}{10} \)

I hope I helped you^_^

Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

The probability that the two pens chosen that day

were of the same color is 7/36.

There are nine pens in the bag in total, thus the likelihood that Zoe will choose a red pen on the first draw is three out of nine, a blue pen on the first draw is five out of nine, and a black pen on the first draw is one out of nine. There are now 8 pens in the bag for the second draw, presuming Zoe chose a pen of a certain color on the first draw. There are two red pens and six non-red pens left in the bag if Zoe chose a red pen during the initial draw. As a result, there is a 2/8 chance that the second draw will provide another red pen. Similarly, if Zoe picked a blue pen on the first draw, there are 4 blue pens and 4 non-blue pens left in the bag, so the probability of picking another blue pen on the second draw is 4/8. Finally, if Zoe picked the black pen on the first draw, there are no black pens left in the bag, so the probability of picking another black pen is 0.

So, to find the probability that Zoe picks two pens of the same color, we need to consider all the possible combinations of the first and second draws: Zoe picks a red pen first, and then another red pen: (3/9) x (2/8) = 1/12

Zoe picks a blue pen first, and then another blue pen: (5/9) (4/8)= 5/18

Zoe picks the black pen first, and then cannot

pick another black pen: 1/9 × 0 = 0

Therefore, the overall probability of Zoe picking (1/12)+(5/18)+0=7/36

two pens of the same color is:

So the probability that the two pens chosen that day were of the same color is 7/36.

To learn more about probability, refer to: https://brainly.com/question/13604758

#SPJ1

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

Answer:6

Step-by-step explanation:If jayden made 5% of his free throws and he shot 120 free throws you have to find 5% of 120.

5% of 120 = 6  

So Jayden shot a total of 6 free throws during the season

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

Substitute the x and y values in:

p^2 + 3p - 5(2) = 0

p^2 + 3p - 10 = 0

Factorise this:

(p - 2)(p + 5)

p = 2

p = -5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

4 cups

Step-by-step explanation:

2 divided by 1/2 is 4 so there are 4 half cups of sugar.

Since the sugar is multiplied by 4 you have to multiply the flour by 4.

1*4=4

Answer:

x≥-2

Step-by-step explanation:

dark circle means equality and all numbers are greater than -2

it can also be written as

[-2,∞)

The required ratios: a. Purchasers to non purchasers is 37:13 b. Non Purchasers to purchasers is 13:37 c. Purchasers to total customers is 37:50 d. Non Purchasers to total customers is 13:50

So, based on the information-

Non purchasers = 13

Purchasers = 37

Total customers = 50

Finding ratio by keeping the values as per the requirement -

a. Purchasers to non purchasers = 37:13

b. Non Purchasers to purchasers = 13:37

c. Purchasers to total customers = 37:50

d. Non Purchasers to total customers = 13:50

Hence, the ratios are a. 37:13, b. 13:37, c. 37:50 and d. 13:50.

Learn more about ratio -

https://brainly.com/question/2328454

#SPJ4

Answer:

why does it say right twice? ...

Answer: 5

Step-by-step 10-5=5

Answer:

5 apples

Step-by-step explanation:

Liam has 10 apples and he gives 5 away to his friend cherry

10-5= 5

He has 5 apples left

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

Answer:

n² + 5n - 14

Step-by-step explanation:

(n + 7)(n - 2) =

= n² - 2n + 7n - 14

= n² + 5n - 14

Answer:

\(n^2 + 5n - 14\)

Step-by-step explanation:

Expand the factored expression.

(n + 7)(n - 2)

= n · n + n · (-2) + 7 · n + 7 · (-2)

= n^2 - 2n + 7n - 14

= n^2 + 5n - 14

\(= n^2 + 5n - 14\)

Answer:

Footsteps

Step-by-step explanation:

When you take footsteps, you leave them behind as well.

A = 1/8
B = 1
C = 135/8

To solve this problem, we first need to integrate f'(x) = ex/8. We can do this by multiplying both sides of the equation by dx and then integrating:

∫ f'(x) dx = ∫ ex/8 dx

f(x) = 8e^(x/8) + C

We now need to use the given initial condition f(0) = 17 to find the value of C:

f(0) = 8e^(0/8) + C = 8 + C = 17

C = 9

So, the function f(x) that satisfies the given conditions is:

f(x) = 8e^(x/8) + 9

We can rewrite this function in the form f(x) = a e^bx + c by comparing the coefficients with the given expression. We see that:

a = 8
b = 1/8
c = 9

Therefore, A = 8, B = 1/8, and C = 9.

To find the function f(x) that satisfies the given conditions, we need to integrate f'(x) and apply the initial conditions. Given f'(x) = e^x/8, we can integrate with respect to x:

f(x) = ∫(e^x/8)dx = (1/8)∫(e^x)dx = (1/8)e^x + C_1, where C_1 is the constant of integration.

Now, we apply the initial condition f(0) = 17:

17 = (1/8)e^0 + C_1 => 17 = (1/8)(1) + C_1 => C_1 = 17 - 1/8 = 135/8.

So, f(x) = (1/8)e^x + 135/8.

Now, we need to match this to the form f(x) = a*e^(bx) + c. Comparing the coefficients, we can determine the values of a, b, and c:

A = 1/8
B = 1
C = 135/8

To know more about Polynomials visit: brainly.com/question/11536910

#SPJ11

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

To learn more about transportation

https://brainly.com/question/32750280

#SPJ11

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 31960}}{\left( \cfrac{6}{100} \right)31960}\implies 1917.6~\hfill \underset{cost~price}{\stackrel{31960-1917.6}{30042.4}}\)

The statement "the variance of a sum equals the sum of the variances" is true. This can be proven mathematically by using the formula for the variance of a sum of two random variables:
\(Variance of a sum = Var(X + Y) = Var(X) + Var(Y)\)

This formula states that the variance of a sum is equal to the sum of the variances of each individual random variable.

Addition is one of the mathematical operations.

Addition helps us to do mathematical calculations, its purpose is the combination of quantities in order to have a single result.

For more information about variance of a sum, visit:

https://brainly.com/question/9304306

#SPJ11

Answer:

3 + 9 = 12 !

Step-by-step explanation:

Answer:

The Answer Is 382...

Step-by-step explanation:

The problem involves valuing the premium leg of a Credit Default Swap (CDS) contract, where one party (credit protection buyer) pays the other party (credit protection seller) a fixed periodic coupon for the life of the contract on a specified reference asset.

In a Credit Default Swap (CDS), party A purchases protection from party B against a potential loss in the face value of an asset due to credit events. Payments are made every 3 months based on the contractual spread and the face value of the asset. The first step is to sketch the payment schedule, indicating the time of each payment and its size.

Next, the discounting factor at time t needs to be expressed. This factor accounts for the time value of money and is used to discount future payments to their present value.

The probability of a credit event occurring before time t (P) and the survival probability at time t (PND) are important in valuing the CDS. P represents the likelihood of a default event occurring, while PND represents the probability that no default event has occurred before time t.

Based on the above, the full expression for the premium leg can be written, considering both the discounting factor and the probabilities of default events.

Finally, using the provided values, the premium leg can be calculated, and the CDS can be priced.

By following these steps and incorporating the relevant mathematical expressions, the premium leg of the CDS can be evaluated, providing a valuation for the contract.

Learn more about Credit here:

https://brainly.com/question/24272208

#SPJ11

The range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the "axis scale" or "axis range."

It determines the span of values displayed on the value axis of a graph or chart. The axis scale is typically set based on the minimum and maximum values present in the data series, and the incremental values (tick marks) are placed at regular intervals within that range.

It represents the span of values that will be displayed on the value axis of a graph or chart. The data range determines the scale and divisions of the axis, allowing the viewer to interpret the data accurately and understand the relative magnitude of the values being presented.

Learn more about data range or data set range:

https://brainly.com/question/24326172

#SPJ11