PLEASE HELP! This is the only question I don’t get about functions.

Answer:

I would say not valid

Step-by-step explanation:

well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject

Answer:

I believe the number is 4.7

Answer:

x = -5 , y = -8

Step-by-step explanation:

x  =  - 6y  -  53

x  +  6y  =  - 53  ---- 1

x   -  2y  =  11   ----  2

8y = -64

y = -8

x - 2(-8) = 11

x + 16 = 11

x = -5

The probability of winning at least one award is 1 - 0.2373 = 0.7627 or 76.27%.

If the probability of winning an MTV music award after being nominated is 25%, the probability of not winning is 75%. Thus, the probability of not winning any of the five awards is (0.75)^5 = 0.2373.

As for how many awards Ariana Grande should expect to win, we can use the expected value formula: E(x) = n * p, where n is the number of trials (in this case, 5) and p is the probability of success (0.25). Therefore, E(x) = 5 * 0.25 = 1.25. So, Ariana Grande can expect to win about 1 award.

Finally, to calculate the standard deviation associated with this probability, we can use the formula: σ = sqrt(n * p * (1-p)). Plugging in the values, we get σ = sqrt(5 * 0.25 * 0.75) = 0.866. Therefore, the standard deviation associated with this probability is approximately 0.866.

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Answer:

Step-by-step explanation:

640

The equation of the output D of Half-subtractor using NOR gate is D = A'B' + AB, a half-subtractor is a digital circuit that performs the subtraction of two binary digits. It has two inputs, A and B, and two outputs, D and C.

The output D is the difference of A and B, and the output C is a borrow signal.

The equation for the output D of a half-subtractor using NOR gates is as follows:

D = A'B' + AB

This equation can be derived using the following logic:

The output D is 1 if and only if either A or B is 1 and the other is 0.

The NOR gate produces a 0 output if and only if both of its inputs are 1.

Therefore, the output D is 1 if and only if one of the NOR gates is 0, which occurs if and only if either A or B is 1 and the other is 0.

The half-subtractor can be implemented using NOR gates as shown below:

A ------|NOR|-----|D

        |      |

B ------|NOR|-----|C

The output D of the first NOR gate is the exclusive-OR (XOR) of A and B. The output C of the second NOR gate is the AND of A and B. The output D of the half-subtractor is the complement of the output C.

The equation for the output D of the half-subtractor can be derived from the truth table of the XOR gate and the AND gate. The truth table for the XOR gate is as follows:

A | B | XOR

---|---|---|

0 | 0 | 0

0 | 1 | 1

1 | 0 | 1

1 | 1 | 0

The truth table for the AND gate is as follows:

A | B | AND

---|---|---|

0 | 0 | 0

0 | 1 | 0

1 | 0 | 0

1 | 1 | 1

The equation for the output D of the half-subtractor can be derived from these truth tables as follows:

D = (A'B' + AB)' = (AB + A'B') = AB + A'B' = A'B' + AB

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Answer:

£72

Step-by-step explanation:

So here you basically want to take to total amount earned and divide it by the amount of days worked and you should get your daily amount paid. (360/5=72)

The given scenario does not provide a feasible solution for calculating the number of months required to pay off $2500 with payments of $345 at the end of every six months at a 2.9% interest rate compounded twice a year. The calculations result in an undefined value for the number of months, indicating that the provided payment schedule is not sufficient for paying off the given amount within a defined timeframe.

To calculate the number of months it will take to pay off $2500 with payments of $345 at the end of every six months at 2.9% p.a. compounded twice a year, we can use the formula for compound interest:
\(A = P \left(1 + \frac{r}{n}\right)^{nt}\)
Where:
A is the total amount to be paid off,
P is the initial principal amount,
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.

In this case, the initial principal amount (P) is $2500, the annual interest rate (r) is 2.9% or 0.029 as a decimal, and the interest is compounded twice a year (n = 2). We need to find the value of t in years. First, let's calculate the total amount to be paid off (A):
A = $2500
Next, we can rearrange the formula to solve for t:
\(t = \frac{1}{n} \cdot \left(\frac{\log(A/P)}{\log(1 + \frac{r}{n})}\right)\)

Using this formula, we can substitute the values:
\(t = \frac{1}{2} \cdot \left(\frac{\log\left(\frac{2500}{2500}\right)}{\log\left(1 + \frac{0.029}{2}\right)}\right)\)

Simplifying further:
\(t = \frac{1}{2} \cdot \left(\frac{\log(1)}{\log(1.0145)}\right)\)

Since log(1) is 0, the equation becomes:
\(t = \frac{1}{2} \cdot \left(\frac{0}{\log(1.0145)}\right)\)
As any number divided by 0 is undefined, we cannot find a numerical value for t. Therefore, none of the given options is correct.

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We know that the volume of a rectangular box is given by length times width times height. So, we have:

V = x * (x - 5) * (x + 2) = 180

Briefly defined, what is rectangle?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

We can use this equation to find the length of the box.

Expanding the equation:

x^3 - 5x^2 + 2x = 180

Solving for x using a calculator or an algebraic equation solver we can find that x = 9.52

So the length of the box is 9.52 inches.

The answer is B. 9.52 in

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Answer:

Step-by-step explanation:

Given the sum of the first n consecutive even numbers expressed as

S=n^2+n where n ≥ 2.

If S  = 210, then;

210 = n² + n

n² + n - 210  = 0

Factorize

n = -1±√1²-4(-210)/2

n = -1±√1+840/2

n = -1±√841/2

n = -1±29/2

n = -1+29/2 and -1-29/2

n = 28/2 and -30/2

n = 14 and -15

Since n ≥ 2, hence the required value of n is 14

In economics, the SRAS curve represents the short-run aggregate supply, which depicts the relationship between the price level and the quantity of output supplied in the short run. There are two versions of the SRAS curve: one with flexible prices and one with sticky prices. The Hayekian Triangle is a graphical representation of the interplay between time, capital, and production in an economy.

AA decrease in patience, within the context of the Hayekian Triangle, implies a shift in time preferences and can have implications for resource allocation.

In economics, the SRAS curve illustrates the short-run aggregate supply, which shows the relationship between the overall price level and the quantity of output supplied in the short run. The SRAS curve with flexible prices is upward sloping, indicating that as prices rise, firms are willing and able to produce more output due to higher profitability. On the other hand, the SRAS curve with sticky prices is relatively flat, indicating that firms are unable or unwilling to adjust prices immediately in response to changes in demand or production costs. This stickiness can be caused by factors such as contracts, menu costs, or market imperfections.
The Hayekian Triangle, named after economist Friedrich Hayek, is a graphical representation of the interplay between time, capital, and production in an economy. It illustrates the trade-offs and decisions made by individuals and businesses based on their time preferences and the availability of capital goods. The triangle consists of three vertices: time, consumption goods, and production goods. It represents the process of using time and capital goods to transform resources into consumption goods.
A decrease in patience, within the context of the Hayekian Triangle, implies a shift in time preferences. When individuals and businesses become less patient, they place greater emphasis on immediate consumption rather than saving or investing in production goods. This shift in time preferences can have implications for resource allocation. If there is a decrease in patience, it may lead to reduced savings and investment, resulting in a lower capital stock and potentially lower future productivity and economic growth. It highlights the importance of balancing present consumption with future-oriented investments to maintain sustainable economic development.

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Answer:

The median for data set 1 is 86. The median for data set 2 is 77.5. The IQR for data set 1 is 7. The IQR for data set 2 is 6. The set with more consistent data is data set 2.

Step-by-step explanation:

Data set 1

{82, 89, 70, 85, 93, 87}

median:

step 1: place the data set numbers in order

70, 82, 85, 87, 89, 93

step 2: n + 1 / 2                     n is the number of terms

6 + 1 / 2 = 7 / 2 = 3.5            this means the 3.5 number in the data set

between 85, 87                    85 + 87 / 2 = 86

median = 86

IQR:

formula: IQR = Q3 - Q1

Q3 = median of the upper bound of 87, 89, 93

Q3 = 89

Q1 = median of the lower bound of 70, 82, 85

Q1 = 82

IQR = Q3 - Q1 → 89 - 82 = 7

Data set 2

{73, 77, 72, 79, 81, 78}

median:

step 1: place the data set numbers in order

72, 73, 77, 78, 79, 81

step 2: n + 1 / 2                     n is the number of terms

6 + 1 / 2 = 7 / 2 = 3.5            this means the 3.5 number in the data set

between 77, 78                    77 + 78 / 2 = 77.5

median = 77.5

IQR:

formula: IQR = Q3 - Q1

Q3 = median of the upper bound of 78, 79, 81

Q3 = 79

Q1 = median of the lower bound of 72, 73, 77

Q1 = 73

IQR = Q3 - Q1 → 89 - 82 = 6

other possible calculation for these data sets

Finding the mean:

formula: sum of the data set / total number of terms

sum of the data set: 82 + 89 + 70 + 85 + 93 + 87 = 506

total number of terms: there is 6 numbers in the data set

mean = 506 / 6

Answer:

7/17

Step-by-step explanation:

The probability of an event happening is the number of ways the desired event can happen divided by the total number of outcomes.

The total number of outcomes is 7 + 10 = 17.

The desired event is picking a yellow marble.

Since there are 7 yellow marbles, picking any of them is a desired outcome, so there are 7 desired outcomes.

p(yellow marble) = 7/17

Answer:

the one to the left because rigt

Answer:

Step-by-step explanation:

x^2 = (49/100)

x = (7/10) and -(7/10)

If x = (7/10), then x^2 = 49/100

If x = -(7/10), then x^2 = 49/100

Answer:

2.25 feet, 45 inches, and 6 yards

Step-by-step explanation:

first, convert all to the same unit of measurement

I will use inches

45 inches = 45 inches

6 yards, 1 yard = 3 feet so 6 yards are equal to 18 feet and 1 foot is equal to 12 inches so 12*18 is 216 inches so 6 yards = 216 inches

Next 1 foot equals 12 inches so 2.25 * 12 = 27 so 2.25 feet = 27 inches.

Now let's look at the complete conversion

45 inches

6 yards = 216 inches

2.25 feet = 27 inches

looking at the inches we can see that 27 is the least then 45 then 216 therefore

2.25 feet < 45 inches <  6 yards so the order is

2.25 feet, 45 inches, and 6 yards

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

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Answer:

100 cubic in

Explanation

step 1: divide the figure into two

step 2 : find area then multiply by height of the cuboid

step 3 : add both

Answer:

The answer is 100.

Step-by-step explanation:

Volume = weight times height times length = 5 times 1 times 8 = 40

Volume = weight times height times length = 5 times 2 times 6 = 60

So now that we have the volume of each rectangular prism, we must add them together to get the full volume.

60 + 40 = 100

If 300 people were sampled instead of 200, and the confidence level remained the same, it would produce a more accurate result.

Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 students. In statistics, sampling allows you to test a hypothesis about the characteristics of a population.

This is because a larger sample size allows for a better representation of the population, providing a more accurate result. Additionally, with a larger sample size, the confidence interval of the sample would be narrower, indicating a higher level of confidence in the accuracy of the result.

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We have exponential decay of roughly 40% per time unit.

We have to  y=(0.88)^4t in the form y=a(1+r)^t or y=a(1−r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.

y=(0.88)^4t

y=1( (0.88)^4 )^t

y=1( 0.59969536 )^t

Set 0.59969536 equal to 1-r and solve for r

1-r = 0.59969536

-r = 0.59969536-1

-r = -0.40030464

r = 0.40030464

r = 0.40

This means we have,

y=a( 1 - r )^t

y=1( 1 - 0.40 )^t

which means a = 1 and r = 0.40 approximately

We have exponential decay of roughly 40% per time unit.

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Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.

Answer:9

Step-by-step explanation:

Answer:

It has to be the third option.

Happy to help :)

The equation of the parent square root function to represent the equation of the graphed function will be, y=√x-2

According to the statement

we have to show the square root function as a equation in the graphical representation.

So,

we know that the definition of a

Graph a diagram showing the relation between variable quantities, typically of two variables and it also show the relation between more than two variables.

Now, we know that the definition of Equation is a mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

And the equation obtained from the graph is a y=√x-2 by a some calculations in the graph.

So, The equation of the parent square root function to represent the equation of the graphed function will be, y=√x-2

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Answer:

(-8,13)

Step-by-step explanation:

I just graphed the coordinates that you were given and followed the line. Then checked my work with m a t h w a y . c o m

I checked that the slope of the two coordinates you were given were the same as the endpoint they gave you and the one i found and they were!

Good luck! You got this!

If you want my to explain a little more of how i found the answer just let me know!