Needing help on my mixed counting and probability quiz please!!!! Due soon

6^4 =1296

=6^5/6

=6•6•6•6•6/6

=6•6•6•6

=6^4

=1296

P = 64 cm

2(( x + 14) + x) = 64

2x + 28 + 2x = 64

4x + 28 = 64

4x = 64 - 28

4x = 36

x = 36/4

x = 4

width = 4

lenight = 18

area = l x b

area = 18 x 4

area = 72

The balance in the account after 5 years is $10750.

The following can be deduced based on the information given:

Principal = $10000

Rate = 1.5%

Time = 5 years..

Interest = (Principal × Rate × Time) / 100

= (10000 × 1.5 × 5) / 100

= $750

The balance will be:

= Principal + Interest

= $10000 + $750

= $10750

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A savings account of $10000 pays an annual simple interest rate of 1.5%. What would be the balance in your account after 5 years?

Answer:

3t^2 + 8t + 2

Combine like terms

2 + 10t - 2t + 3t2

2+ 8t + 3t^2

Answer:

59,850

Step-by-step explanation:

cost: 57,000

what is 5%?

57,000 * .05 = 2,850

so, add the cost and tax together

57,000 + 2850 = 59,850

Answer:

yes it is

Step-by-step explanation:

a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle

Brainliest?

Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.

Given,

The line has been partitioned into three angles.

Is there a triangle with these three angle measures?

The degrees are 39,42,99.

The sum of the angles in a triangle is 180 degrees.

The sum of all the angles in a straight angle is 180 degrees.

We have,

39°, 42°, and 99°.

The sum of the angles is:

= 39 + 42 + 99

= 180 °

The sum of the angles in a triangle is 180 degrees.

Thus,

Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.

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Rounding up to the nearest unit, it would take Calvin approximately 27 months to pay off his credit card with a monthly payment of $165.

To determine how long it would take Calvin to pay off his credit card, we need to consider the monthly payment amount and the interest rate. Let's calculate the time it would take for two different monthly payment amounts: $220 and $165.

a. Monthly payment of $220:

Let's assume the initial balance on Calvin's credit card is $3,000, and the annual interest rate is 4 percent. To calculate the monthly interest rate, we divide the annual interest rate by 12 (number of months in a year):

Monthly interest rate = 4% / 12 = 0.3333%

Now, we can calculate the time it would take to pay off the credit card using the monthly payment of $220 and the monthly interest rate. We'll use a formula for the number of months required to pay off a loan with fixed monthly payments:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:

n = number of months

r = monthly interest rate (as a decimal)

P = initial balance

A = monthly payment

Plugging in the values:

n = -(log(1 - (0.003333 * 3000) / 220) / log(1 + 0.003333))

Using a calculator, we can find:

n ≈ 15.34

Rounding up to the nearest unit, it would take Calvin approximately 16 months to pay off his credit card with a monthly payment of $220.

b. Monthly payment of $165:

We can repeat the same calculation using a monthly payment of $165:

n = -(log(1 - (0.003333 * 3000) / 165) / log(1 + 0.003333))

Using a calculator, we find:

n ≈ 26.39

Please note that these calculations assume that Calvin does not make any additional charges on his credit card during the repayment period. Additionally, the interest rate and the balance are assumed to remain constant. In practice, these factors may vary and could affect the actual time required to pay off the credit card balance.

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Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Step-by-step explanation:

54÷3

=18

one is 17

one is 18

the other is 19

Answer:

14x-21y

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:

  7(2x – 3y)

= 7(2(6) – 3(-2))

= 7(12 + 6)

= 7(18)

Answer:

-0.11111111111

Step-by-step explanation:

The correct answer is Between 157,500 and 968,187 phones.

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Answer:

Inequality Form: x > 1

Interval Notation: (1, \infty )

Step-by-step explanation:

The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7

A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle

angle Z = 180-(90+51)

angle Z= 180- 141= 39°

using trigonometry ratio

tan51 = 27/XY

XY= 27/tan51

XY= 27/1.2

XY= 21.9

using Pythagoras theorem

XZ²= 21.9²+27²

XZ²= 1208.6

XZ= √1208.6

XZ= 34.7

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Answer:

28 in

Step-by-step explanation:

Given is an isosceles triangle.

In an isosceles triangle, measure of the sides opposite to the equal angles are equal.

Therefore,

3x + 2 = x + 6

3x - x = 6 - 2

2x = 4

x = 4/2

x = 2 in

x + 6 = 2 + 6 = 8

Perimeter of the triangle

= 8 + 8 + 12

= 28 in

The answer are:

a. The random variable X is car battery

b. X is a continuous random variable

c. X ~ Exponential(0.025)

d. battery lasts (1/0.025)

e. 9 times 40 months, which is 360 months

f.the probability that a car battery lasts more than 36 months is approximately  30.33%.

g.seventy percent of the batteries last at least approximately  78.40 months.

a. The random variable X is defined as the useful life of a particular car battery, measured in months. In other words, X represents the duration, in months, that a car battery will last before it needs to be replaced.

b. X is a continuous random variable because the useful life of a car battery can take on any positive real value within a certain range (e.g., 0 months, 1 month, 2 months, etc.) without any gaps or jumps.

c. X ~ Exponential(0.025) means that X follows an exponential distribution with a decay parameter of 0.025. The exponential distribution is commonly used to model the time between events in a Poisson process, such as the failure or replacement of car batteries in this case. The decay parameter (λ) determines the rate at which the battery's useful life decays. In this scenario, a higher decay parameter value (0.025) implies a faster decay or shorter average life for the battery.

d. The average or expected value of an exponential distribution is given by the reciprocal of the parameter. Therefore, the average useful life of one car battery would be:

Expected value of X = 1 / 0.025 = 40 months

On average, one car battery would be expected to last 40 months,

e. The expected value of a sum of independent random variables is equal to the sum of their individual expected values. Therefore, if you use nine car batteries one after another, the expected total useful life would be:

Expected value of 9X = 9 * Expected value of X = 9 * 40 = 360 months

On average, you would expect nine car batteries to last for a total of 360 months.

f.To find the probability that a car battery lasts more than 36 months, we can use the cumulative distribution function (CDF) of the exponential distribution:

P(X > 36) = 1 - P(X ≤ 36)

The CDF of an exponential distribution with parameter λ is given by:

F(x) = 1 - \(e^{-\lambda x}\)

In this case, λ = 0.025. Substituting the values:

P(X > 36) =\(1 - e^{-0.025 * 36}\)

Calculate the probability using the formula:

P(X > 36) ≈ 0.3033

Therefore, the probability that a car battery lasts more than 36 months is approximately 0.3033, or 30.33%.

g.  To find the value of x at which 70% of the batteries last at least that long, we can use the quantile function (inverse of the CDF) of the exponential distribution.

Let's denote the value we are looking for as\(x_0.\)

P(X ≥ \(x_0\)) = 0.70

Using the CDF of the exponential distribution:

\(1 - e^{-0.025 * x_0} = 0.70\)

Solving for x_0:

\(e^{-0.025 * x_0}= 0.30\)

Taking the natural logarithm of both sides:

\(-0.025 * x_0 = ln(0.30\))

Solving for \(x_0:\)

\(x_0 = ln(0.30) / (-0.025)\)

Calculate the value:

\(x_0 =\) 78.40

Therefore, seventy percent of the batteries last at least approximately 78.40 months.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

He got 49 - 42 = 7 wrong. 7 out of 49 can be written as 7/49 which simplifies to 1/7.

Answer:

7/49=1/7

Step-by-step explanation:

Wrong questions: 49-42=7

7/49=1/7.

Answer:

Answer D

Step-by-step explanation:

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

Success-related icebreaker questions include What distinguishes a successful leader from a successful boss? What criteria do you use to judge a person's level of achievement in life? , What do you think about separating your personal life from your job life?.

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The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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Answer:

4 batches

Step-by-step explanation:

To obtain the number of batches of the recipe that can be made ;

We take the divison of the total amount of strawberry by the amount of strawberry required per batch :

Pounds of strawberry per recipe = 0.75 pound

Total pounds of strawberry = 3.15 pound

= 3.15 / 0.75

= 4.2

We round down :

4.2 batches = 4 batches of the recipe can be made

Answer:

purple graph is for x+y>3

black graph is for x+y<-4

Step-by-step explanation:

I recommend u use desmos. it'll really help

hope u have a nice day :)