Need help with 2 math questions pls help me for 20 points.

The value of the logarithmic expression log₈(500)  is equal to 2.988

To evaluate a log;

1.  Set the logarithmic expression equal to a variable.

2.  Rewrite the equation from step 1 in exponential form.

3. we can rewrite the log and then proceed to calculate the value.

In this case, we can use a calculator which will give the expression as;

log₈(500)  = 2.988

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Answer:

$1.35

Step-by-step explanation:

We multiply $9.00 by 15% which equals to 1.35

The probability that exactly n of the collection of n spins will point up is given by the Binomial distribution. The Binomial distribution is a discrete probability distribution that models the number of successes (x) in a given number of trials (n) with a fixed probability of success (p) on each trial.

In this case, we have n trials, with a fixed probability of success of 0.5 (since each spin can point up or down with equal probability). The number of successes we're interested in is n. Thus, the probability of n successes is given by:P(X = n) = (nCn)(0.5)^n = 0.5^nwhere nCn is the number of ways to choose n items from n items, which is 1.Approximation for large n:When n is large, we can use the normal approximation to the Binomial distribution.

Specifically, we use the Normal distribution with mean np and variance np(1-p). In this case, p = 0.5, so the mean and variance are both (0.5)n. Therefore, the probability of n successes is approximately:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(x-μ)^2/2σ^2]where μ = np = (0.5)n and σ^2 = np(1-p) = (0.5)n(0.5) = (0.25)n.

Plugging these values in, we get:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(n/2n)^2/2(0.25)n] = (1/σ√2π)exp[-(1/8n)] = (1/√2πn)exp[-(1/8n)]Note that for the large n approximation to be valid, we require np and n(1-p) to be at least 10. In this case, np = (0.5)n and n(1-p) = (0.5)n, so this condition is satisfied for any n.

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Answer:

No

Step-by-step explanation:

The function is not one to one because there are multiple x-values for each y-value.

Sale tax rate = 6.85%

To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)

14,000 x (6.85/100) = 14,000 x 0.0685= $959

To find the final cost, add the sale tax amount to the price:

14,000 + 959 = $14,959

Answer:

y= 5.333

Step-by-step explanation:

Answer:

y = 3x - 16

Step-by-step explanation:

3x - y = 16

=> 3x - 16 = y

=> y = 3x - 16

Answer:

C

Step-by-step explanation:

used a calc and took test

The slope of the line is -7 and the y-intercept is negative 3. The line is drawn below.

The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = -7x - 3

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.

The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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Answer: D

Step-by-step explanation:

♡ The Question/Task ♡        

-What is the mean absolute deviation of her quiz scores?    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡        

-I believe the answer should be, 17!    

I apologize in advance if this is incorrect! ♡    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡        

-No Explanation/Step-By-Step Provided!        

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♡ Tips ♡        

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Answer:

1. The Dela Cruz family's water consumption for the month of June is 0000245 m³ land for the month of July, the reading is 0000280 m³. How much water was their water consumption for the month of July?

Answer: 35 cubic metre

________________________________

2. At P8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading August was 00001480?

Answer: PHP 240

________________________________

3. The Duran family usually consumes 230 kwh monthly. They practiced conservation measures to save on the use of electricity. If the previous month's reading is 5680 and the present reading is 5950, what is the number of kwh used? Did they save electricity?

Answer: 270 kwh

________________________________

4.The previous reding of the water meter was 0000345 m. The present reading is 0000395 m³. How many cubic meters water was consumed?

Answer: 0000050 m³

________________________________

5.The previous reading of the electric meter was 2895 kwh and present reading is 3025 kwh. How many kilowatts of electricity was consumed?

Answer: 130

________________________________

Based on the information in the graph, it can be inferred that the total cost would be: 233.521, mark up: 116.75, and selling price: 350.271.

To calculate the total cost we must multiply the unit price of each product by the number of units we need. Once we get this result, we add everything to find the total cost.

To calculate the mark up we must divide the total cost of each ingredient in two. Once we have these results, we add everything to find the mark up.

To calculate the selling price we must add the mark up and the total cost of each ingredient. Additionally, to find the total selling price of all the products we must add all the values.

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Answer:

C

Step-by-step explanation:

Answer: A or C

The probability of every event is at least zero.

(For every event A, P(A) >= 0. There is no such thing as a negative probability.)

The probability of the entire outcome space is 100%.

(P(S) = 100%. The chance that something in the outcome space occurs is 100%, because the outcome space contains every possible outcome.)

If two events are disjoint, the probability that either happens is the sum of the probabilities that each happens.

(If AB = {}, P(AUB) = P(A) + P(B).)

Step-by-step explanation:

the probability that an event A does not happen is 100% minus the probability that A happens:

My answer P(Ac) = 100% - P(A).

Answer:

27 /20 =1 and 7 over 20= 1.35

Step-by-step explanation:

Answer:

1  7/20

Step-by-step explanation: 3/4+3/5 as a mixed number

Well you start by having 3/4+3/5 and then you multiply 5 times 3 which is 15, then you multiply 3 times 4 is 12. Now you multiply the denomerators which are 5 times 4 is 20 so what I did was I switch the number to on each side so the denomerators are 5 and 4 so I just put the 4 on the left side and then I put the 5 on the other side well you do numerator and the denomerator as the same number so you can multiply the numerator and the denomerator as the same on each side but so like this 5/5 * 3/4+3/5*4/4 now you multiply the numerator adn the denomerator anad you get 15/20+12/20 now you just add so 15+12 is 27 and you just leave the denomerator alone so it is 27/20 so now you have to divide. here is a trick up my sleeve you could do the football long  division so you put it like 27/20. So now you have to figure out what can go into 27 with 20 which is 1 so you put that above the division sign and now you subtract 27 and 20 so that gives you 7 now you take that 7 and bring it above the 20 and not you have 7/20 and now you bring it up over and past the 1 and now you have 1 7/20 or you could say as like this one and seven 20 and can't 20th so I just put 20 so don't mind. I hope this is the answer!!

Answer:

Below

Step-by-step explanation:

Set up a ratio:

7 is to 9   as  8 is to ?

7/9 = 8/?

? = 8 * 9/7 = 72/7  = 10  2/7

The probability that the next customer will pay with something other than cash as a percent to the nearest whole number is 24%.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

Given that,

Number of customers who paid cash = 102

Number of customers who used a debit card = 22

Number of customers who used a credit card = 10

Total number of customers = 102 + 22 + 10 = 134

Total customers who don't use cash to pay = 22 + 10 = 32

Probability that the next customer doesn't pay cash = 32 / 134

                                                                                       = 0.2388

                                                                                       = 23.88%

                                                                                       ≈ 24%

Hence 24% of probability is that the next customer will pay with something other than cash.

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The average speed is the ratio of the total distance to the total time. Then the average speed of the airplane will be 698.19 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

An airplane files 867 miles with a constant speed of 612 mph and then another 1984 miles with a constant speed of 744 mph.

Then time taken for the first trip will be

t₁ = 867 / 612

t₁ = 1.4167 hours

Then time taken for the second trip will be

t₂ = 1984 / 744

t₂ = 2.6667 hours

Then the average speed is the ratio of the total distance to the total time.

The total distance will be

Total distance = 867 + 1984

Total distance = 2851 miles

The total time will be

Total distance = 1.4167 + 2.6667

Total distance = 4.0834 hours

Then the average speed will be

Average speed = 2851 / 4.0834

Average speed = 698.19 mi/h

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From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer:

1/20

Step-by-step explanation:

x(whatever the amount was) -3/4= 1/4

1/4 - 1/5 = 1/20

THE PART

Answer:

4/20

Step-by-step explanation:

Since 3/4 & 1/5 don't have the same denominator you would multiply their denominators by each other top and bottom. You would get 3/4=15/20 & 1/5=4/20. Since you spent 15/20 of your money you would have 5/20 left. Now 1/5 of 5/20 is 1/20. So you would take 5/20 - 1/20 and you would have 4/20 of your money left.

I hope this helps:)

Answer:

= − 1 9

Step-by-step explanation:

The time interval will be given as 1 ≥ t ≥ √2.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The height of a stuntperson jumping off a building that is 20 m high is modelled by the equation h = 20 – 5t², where t is the time in seconds. a high-speed camera is ready to film the person between 15 m and 10 m above the ground.

The time interval will be calculated by putting the value of h from 15 to 10 meters.

put the value of h = 15 meters.

h = 20 - 5t²

15 = 20 - 5t²

5t² = 5

t = 1

Now put h = 10 meters.

h = 20 - 5t²

10 = 20 - 5t²

5t² = 10

t = √2

Therefore the time interval will be given as 1 ≥ t ≥ √2.

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Answer: B

Step-by-step explanation:

edge 1984

SOLUTION:

Case: Initial value problem

An initial value problem is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain

To solve the initial value problem, we have a value of the derivative of y when x is known.

y'(x)= value

Given:

f(4)=2

The resulting equation will be:

Final answer:

Answer:

16

Step-by-step explanation:

I believe you just multiply 4 by 4 !

All real numbers X such that 4x + 2 < 14 and -21x + 1 < 22 are -1 < x < 3

The correct answer is an option (b)

In this question we have been given two inequalities 4x + 2 < 14 and -21x + 1 < 22

We need to find all real numbers X such that 4x + 2 < 14 and -21x + 1 < 22

We solve above inequalities to find the solution set.

Consider, 4x + 2 < 14 and -21x + 1 < 22

4x + 2 -2 < 14 - 2 and -21x + 1 -1 < 22 - 1

4x < 12 and -21x < 21

x < 12/4  and  -x < 21/21

x < 3      and  -x < 1

x < 3  and  x > -1

-1 < x < 3

Therefore, all real numbers X such that 4x + 2 < 14 and -21x + 1 < 22 are -1 < x < 3

The correct answer is an option (b)

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Answer:

x = 4

Step-by-step explanation:

So the perimeters need to be equal, so we can substitute the expressions of each rectangle of each of their own respective perimeters are equal to each other and work from there.

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

simplify both sides

6x + 4 = 10x - 12

subtract 6x on both sides

4 = 4x - 12

add 12 on both sides

16 = 4x

divide by 4 on both sides

x = 4

Answer:

x=4

Step-by-step explanation:

Objective: Use our knowledge of geometry and Algebra to solve solutions.

. These figures need to have the same perimeter. In order for shapes, to have same perimeter, they need to be congruent, We must add all sides of both triangles and set them equal to each other.  Remember, the perimeter formula for Rectangle is 2l+2w.

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

8x+2x-12=4x+2x+4

10x-12=6x+4

4x-12=4

4x=16

x=4