Which of the following will occur if the Reserve Bank of Australia decides to decrease the cash rate? a. It will cause share prices to fall. b. It will have no impact on other interest rates. c. It will have no impact on share or bond prices. d. It will likely cause mortgage interest rates to rise. e. It will cause bond prices to rise.

Answer: B: -4

Step-by-step explanation: -168/-14 = 12

12/-3 = -4

Answer:

-

Step-by-step explanation:

y−6−y−8−x4−x−5

=y+−6+−y+−8+−x4+−x+−5

Combine Like Terms:

=y+−6+−y+−8+−x4+−x+−5

=(−x4)+(−x)+(y+−y)+(−6+−8+−5)

=−x4+−x+−19

Answer:

=−x to the power of 4 minus  x  minus 19

just put in the symbols were my answers are

it is C because x dont reapeat

Answer: 1024 inches

Step-by-step explanation:

New Murals,

Length= 245+33 =278 inches

Width = 234 inches

Perimeter= 2*(278+234) = 1024 inches

Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To know more about expression follow

https://brainly.com/question/29115565

#SPJ2

The side lengths of the real object will be 50 inches and 60 inches.

The scale factor is the ratio of the actual size of the image to the new size of the image. It is used to Map the objects like if you want to increase or decrease the size without changing the original shape of the image it is done by the scale factor.

The given scale factor is 5:1, which means that the dimensions of the scale drawing are 1/5 of the dimensions of the real object.

To find the side lengths of the real object, we can use the ratio of the dimensions in the scale drawing and the real object.

For example, the length of the real object can be found by multiplying the length of the scale drawing by the scale factor:

Real object length = Scale drawing length x Scale factor

Real object length = 10 in x 5

Real object length = 50 in

Similarly, the width of the real object can be found using the same method:

Real object width = Scale drawing width x Scale factor

Real object width = 12 in x 5

Real object width = 60 in

Therefore, the side lengths of the real object are 50 inches and 60 inches.

To know more about scale factors follow

brainly.com/question/2826496

#SPJ9

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

i think its no to my best ability

Step-by-step explanation:

If construction of many average quality homes began in an area that is known for having many high quality homes, it is likely that the overall property values of the homes in the neighborhood would decrease.

Explanation:

The presence of many high quality homes in a neighborhood tends to contribute to higher property values. These high quality homes often set a standard and attract buyers who are willing to pay a premium for the desirable location and quality of housing.

However, when a large number of average quality homes are constructed in the same area, it can lead to a dilution of the overall quality and desirability of the neighborhood. The increased supply of average quality homes may result in increased competition among sellers and a decreased demand from buyers who are seeking higher quality homes. As a result, property values in the neighborhood are likely to decrease.

Additionally, the introduction of average quality homes may also change the perception and reputation of the neighborhood. Buyers who were initially attracted to the area for its high quality homes may be less inclined to purchase in a neighborhood with a mixture of average and high quality homes, further impacting property values.

To know more about Average visit-

brainly.com/question/18029149

#SPJ11

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

learn more about divergence theorem here:

https://brainly.com/question/10773892

#SPJ11

The total profit earned by the corporation was $2.5 x 10⁷

To find the total profit earned by the corporation in 1000 days, we need to multiply the profit earned per day by the number of days.
The given profit of the corporation is $2.5 x 10⁴ and the number of days is 1 x 10³ days.
Therefore,Total profit = Profit per day × Number of days= $2.5 x 10⁴ × 1 x 10³= $2.5 x 1 x 10⁴ x 1 x 10³= $2.5 x 10⁷

Therefore, the total profit earned by the corporation was $2.5 x 10⁷.

To know more about profit, click here

https://brainly.com/question/9281343

#SPJ11

Answer:

u₂ =  5

u₃ =  53

u₄ =  5621

Step-by-step explanation:

u₁ = 1

uₙ₊₁ = 2(uₙ)² + 3

u₂ = u₁₊₁ = 2ₓu₁² + 3 = 2*1² + 3 = 5

u₃ = u₂₊₁ = 2*u₂² + 3 = 2*5² + 3 = 53

u₄ = 2*u₃² + 3 = 2*53² + 3 = 5621

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

Learn more about capability here

https://brainly.com/question/31154332

#SPJ11

To solve this problem, we can use the formula for compound interest                              :

A = P(1 + r/n)^(nt)

Where:

A = the final amount (in this case, $1000)

P = the initial principal (investment), which is $37

r = the interest rate per period, which is 5% (or 0.05)

n = the number of times the interest is compounded per year, which is 2 (semiannually)

t = the number of years

We need to find the value of t when the balance reaches $1000.

Let's rearrange the formula to solve for t:

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

Substituting the given values:

t = (log(1000/37))/(2 * log(1 + 0.05/2))

Using a calculator, we can find that t is approximately 160.23.

Since t represents the number of years, we can round it up to the nearest whole year, which gives us 161.

Therefore, the balance reaches $1000 in the year 1625 + 161 = 1786.

To learn more about compound interest click here

brainly.com/question/25663053

#SPJ11

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

To know more about kinetic energy refer here:

https://brainly.com/question/999862?#

#SPJ11

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

To know more about the function visit :

https://brainly.com/question/11624077

#SPJ11

If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

More on coefficient of determination: https://brainly.com/question/28975079

#SPJ11

A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer: E, A

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \(\sqrt{s (s-a)(s-b)(s-c)}\)

When you have the prism's base area (\(b_{a}\)) you just have to multiply:

\(b_{a}*h=V\)

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

When one zero of 3x³ 4x² - 28x - 16 is 4, another zero will be C. -2.

It should be noted that to find the other zeros of the polynomial, we can use polynomial long division or synthetic division to factorize it.

Therefore, we have factored the polynomial as:

3x³ + 4x² - 28x - 16 = (x - 4)(3x² + 16x + 32)

The discriminant is negative, so the roots are complex conjugates:

x = (-16 ± 8i*✓(2)) / 6

x = (-8 ± 4i*✓(2)) / 3

Therefore, the other zeros of the polynomial are:

x = -2, (-8 + 4i*✓(2)) / 3, (-8 - 4i*✓(2)) / 3.

So the answer is option C: -2.

Learn more about polynomial on

https://brainly.com/question/1496352

#SPJ1

The probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

To use the normal approximation to find the probability P(X ≥ 63) for a sample size of n = 90 and population proportion of successes p = 0.6, follow these steps:

Step 1: Calculate the mean (μ) and standard deviation (σ) for the binomial distribution.
\(μ = n * p\) = 90 * 0.6 = 54
\(σ = \sqrt{(n * p * (1 - p))} = \sqrt{(90 * 0.6 * 0.4) }\)= √21.6 ≈ 4.65

Step 2: Use the normal approximation.
To find P(X ≥ 63), first convert X to a z-score:
z = \((X - μ) / σ\) = (63 - 54) / 4.65 ≈ 1.93

Step 3: Find the probability using a z-table or calculator.
Using a z-table or calculator, find the probability of a z-score less than 1.93 (since we want P(X ≥ 63), we need to find the area to the right of the z-score):
P(Z ≤ 1.93) ≈ 0.9734

Step 4: Calculate the complement probability.
Since we want P(X ≥ 63), we need to find the complement probability (1 - P(Z ≤ 1.93)):
P(X ≥ 63) = 1 - 0.9734 = 0.0266

So, the probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ11

The minimum sample size needed for the union to be 90% confident that its estimate is within $0.35 of the true population mean is 110.

To determine the minimum sample size needed for the union to be 90% confident that its estimate of the mean hourly wage, µ, is within $0.35 of the true population mean, we can use the formula for sample size calculation:

n = (Z * σ / E)^2

where:

n = sample size

Z = Z-value corresponding to the desired confidence level (90% confidence corresponds to a Z-value of 1.645)

σ = standard deviation of the population

E = maximum error tolerance or margin of error

In this case, the margin of error is $0.35, and the standard deviation of wages for foodservice workers is $2.25. Substituting these values into the formula, we have:

n = (1.645 * 2.25 / 0.35)^2

Simplifying the equation:

n = (3.65625 / 0.35)^2

n = 10.44563^2

n ≈ 109.18

Since we cannot have a fraction of a sample, we need to round up to the nearest whole number.

Therefore, the minimum sample size needed for the union to be 90% confident that its estimate is within $0.35 of the true population mean is 110.

By selecting a random sample of at least 110 wages from foodservice workers in the U.S., the union can estimate the mean hourly wage with a 90% confidence that the estimate will be within $0.35 of the true population mean.

To know more about random sample refer here :

https://brainly.com/question/31511212

#SPJ11

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer: 51.75

Step-by-step explanation: 15 precent of 45 is 6.75

                                              Then add 45+6.75

Answer:

Her total including the bill will be $51.75

Step-by-step explanation:

15% of $45

= $6.75

$45 + $6.75 = $51.75

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To know more about Coordinate plane.

https://brainly.com/question/29660530

#SPJ11

The given statement after evaluating and considering the other options is false. Due to the criteria it falls under elaborates the  case of statistically significant change is to be present while comparing the math scores  between the two groups, In short there will always be difference between two group s while we compare them on a particular topic .

From here on we can come to the conclusion that the difference was not due to chance occurrence.

A statistically significant change  refers to process which is  unlikely to be elaborated solely by chance and random factors.

In short, a statistically significant  has a very less chances  of taking place if there is no true effect in a research study.

The famous examples of statistical significance of finding are

To learn more about statistical significance,

brainly.com/question/15848236

#SPJ4

Answer:

the student ate 1/2

Step-by-step explanation:

so 3 guys can do the whole work in 8 days, that means that for one day the same 3 guys are doing (1/8)th of the whole work, let's divide that 1/8 by 3 to see how much each guy does rate wise

\(\stackrel{ \begin{array}{llll} \textit{fraction of}\\ \textit{the whole done}\\ \textit{by all 3} \end{array} }{\cfrac{1}{8}} \div \stackrel{ workers }{3}\implies \cfrac{1}{8}\cdot \cfrac{1}{3}\implies \cfrac{1}{24}\impliedby \begin{array}{llll} \textit{fraction done}\\ \textit{by just 1 worker} \end{array}\)

now, we know is 1/8 th because the whole thing took 8 days, so for 1 day is just 1/8 of 8, and now we know each worker is really doing 1/24 th per day of the whole thing.

now, let's add another worker, who is going to be going at the same speed as the other 3 guys, or 1/24 of the work, so the work will take "t" days total, so in 1 day all those 4 guys will be doing only (1/t)th of the whole thing, so

\(\stackrel{ \textit{rate for 4 workers} }{\cfrac{1}{24}+\cfrac{1}{24}+\cfrac{1}{24}+\cfrac{1}{24}}~~ = ~~\stackrel{ \textit{fraction of total} }{\cfrac{1}{t}} \\\\\\ \cfrac{4}{24}=\cfrac{1}{t}\implies \cfrac{1}{6}=\cfrac{1}{t}\implies t=6 ~~ days\)