3. Choose the best answer that represents the property used to rewrite the expression.20log20logx = logoCommutative PropertyQuotient PropertyProduct PropertyPower Property

This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.

a. Tree Diagram

A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.

b. To find P(S), we need to use the law of total probability:

P(S) = P(R) * P(S | R) + P(R') * P(S | R')

    = 0.3 * 0.12 + 0.7 * 0.53

    = 0.347

So there is a 34.7% chance that Sarina will go to the store on Saturday.

c. P(S') is simply the complement of P(S):

P(S') = 1 - P(S)

    = 1 - 0.347

    = 0.653

So there is a 65.3% chance that Sarina will not go to the store on Saturday.

d. To find P(S | R), we can use Bayes' theorem:

P(S | R) = P(R | S) * P(S) / P(R)

        = P(R and S) / P(R)

        = 0.3 * 0.12 / 0.347

        = 0.103

So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.

e. To find P(R' | S'), we can again use Bayes' theorem:

P(R' | S') = P(S' | R') * P(R') / P(S')

         = (1 - P(S | R')) * 0.7 / 0.653

         = (1 - 0.53) * 0.7 / 0.653

         = 0.203

So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.

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Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Answer:

b.

Step-by-step explanation:

The inequality says that x is bigger than 5. The number line shows the arrow starting from 5 and going bigger. Therefore, that number line is correct.

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

So x = 1/6(2x + 60)

x = 1/3x + 10

2/3 x = 10

x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.

Answer:

Hope This Helps!

Step-by-step explanation:

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Let's find the lengths and areas of the given figures.

• Question 1

Area of a:

Figure a has the shape of a square.

To find the area, let's find the side length, which is the hypotenuse of triangle b.

Apply Pythagorean Theorem:

Where:

Thus, we have:

The side length of a is = 5 m

Therefore, to find the area of a, apply the formula for area of a square:

Therefore, the area of a is 25 square meters

• Question 2

Length of b

b is the hypotenuse of the triangle, which is also the side length of figure a.

Therefore, the length of b is 5 m

• Question 3.

Length of C

To find the length of c, apply Pythagorean Theorem:

Let's solve for c from the equation:

Subtract 81 from both sides:

Therefore, the length of c is 7.94 m

Question 4:

Area of d.

Figure d is a traingle.

To find the area, apply the formula:

Where:

Base, b = length of c = 7.94

Height, h = √81 = 9 m

Thus, we have:

Therefore, the area of b is 35.73 square meters.

ANSWER:

1. H) 25

2. I) 5

3. A) 7.94

4. B.) 35.73

Answer:

it would look like the picture below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since a total of 96 people have entered the store and 32 of them have bought 2 or more items, it is clear that the next person entering the store has a probability of 32/96 or 1/3 that he/she will buy 2 or more items.

Answer:

The correct answer is D. The hybrid car got 43.37 miles pero gallon.  

Step-by-step explanation:

To determine the number of miles traveled for each gallon of gasoline consumed by the car, the number of miles traveled must be divided by the number of gallons consumed.

Thus, if 442.4 miles were traveled and 10.2 gallons of gasoline were consumed, the following calculation should be performed:

442.4 / 10.2 = X

43.37 = X

Therefore, for every gallon consumed 43.37 miles were traveled.

Answer

The answer is C

Step-by-step explanation:

Answer: D. 300 seconds

2-1=1 which means if Britney is swimming 2 m/s against a current of 1 m/s, she will be swimming at 1 m/s

Answer:

If Britney can average 2.0 m/s for 300 m At that speed for just a 100 m Long course, she could have the Record at 50.0 s, and that's assuming the turn doesn't affect her speed in a negative way. The current Record for 100 m Freestyle for women is: 52.07 s.

So your answer is 100 seconds,

Step-by-step explanation:

I hope this helps.

Data handling is the process of ensuring that research data is stored, archived, or disposed of in a safe and secure manner during and after the conclusion of a research project.

The following are the given details:

Item  Leadtime   On hand Inventory Lot sizing criteria Schedulereceipts

A             2                0                                   L4L                  10 in week 2

B             1                 0                                   LAL                       0

C             1                 10                                  50                       0

D             2                0                                   50                       0

E             1                 50                                180               50 in week 1

F             1                180                                L4L               50 in week 1

The Complete MRP schedule can be seen in the attached images below:

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The gross requirements for each component are as follows:

b = 2 x a = 44 units in week 7

c = 3 x a = 66 units in week 7

d = 2 x e + 1 x c + 2 x a

= 110 units in week 3, 56 units in week 6, 44 units in week 7

e = 1 x b = 44 units in week 5

f = 2 x b + 2 x c = 88 units in week 5 and 112 units in week 6

Net requirements = Gross requirements - Projected on hand

Projected on hand = Planned order receipts - net requirements

Planned order receipts = net requirements

Planned order releases = net requirements adjusted as per the lead time

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The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).

Here, scale factor k=1/2

Now, by applying scale factor to the vertices, we get

L(2, -8)→1/2 (2, -8)→L'(1, -4)

M(12, 8)→1/2 (12, 8)→M'(6, 4)

N(14,-4)→1/2 (14, -4)→N'(7, -2)

Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

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"Your question is incomplete, probably the complete question/missing part is:"

Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.

hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful

The Histogram is attached blow.

A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

Given:

Data: 4,4,6, 11, 11, 12, 14, 14, 21, 21, 24, 26

So, Interval           Frequency

      0- 5                     4 , 4 (2)

       5-10                      6(1)

      10- 15                    11, 11, 12, 14, 14  

     15- 20                      _

     20- 25                  21, 21, 24

     25- 30                        26

Hence, the Histogram is attached blow.

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x₁ = - 1

x₂ = 2

2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0

2²ˣₓ2 - 9ₓ2ˣ + 4 = 0

2ˣ = n

2n² - 9n + 4 = 0

2n² - n - 8n + 4 = 0

n(2n - 1) - 4(2n - 1) = 0

(2n - 1)(n -4) = 0

2n - 1 = 0 => n₁ = 1/2

n - 4 = 0 => n₂ = 4

2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1

2ˣ = 4 => 2ˣ = 2² => x₂ = 2

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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Answer:

Step-by-step explanation:

Problem Statement

The question tells us that the number of years new roofs last follows a normal distribution with a mean of 25 and a standard deviation of 5 years.

We are asked to find the following percentages of:

a) between 15 and 35 years.

b) longer than 35 years.

c) less than 20 years

d) between 10 and 35 years.

Method

To solve this question, we need to take note of two formulas. The first is how to calculate the z-score of the individual years, and the other is how to calculate the z-score for a range of years.

Z-score for Individual years:

Z-score for a range of years:

Let us apply these formulas to solve the question.

Implementation

a) Between 15 and 35 years:

b) longer than 35 years:

c) less than 20 years:

d) between 10 and 35 years:

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

7.313×10^3

Step-by-step explanation:

Answer:

The perimeter of rectangle JKLM is 16 units.

Step-by-step explanation:

Perimeter is the area around the shape, so if you look at the space between K and J, the units there are 7. Multiply 7 by 2 (since there are two sides), and then add 2. 2 + 14 = 16.

Answer:

17 units

Step-by-step explanation:

can u mark me as brainliest?

Answer:

B. 24 problems

Step-by-step explanation:

Did it on edge, hope this helps :)

Answer:

Hey Army! The correct answer would be A. 37.1cm

Step-by-step explanation:

I got this correct on my test :)

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

-3/0 is the slope....or just -3.

Step-by-step explanation:

slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.

Answer:

Can you be more specific on this question?

Step-by-step explanation:

Answer:

your answer is D becuase for every 12 throws, he catches 7. therefore 7:12

Step-by-step explanation: