Answer:
15 and 20
Step-by-step explanation:
If the monetary multiplier is 6, then the reserve ratio must be:_______
a) 0.06.
b) 0.167.
c) 1.67.
d) 0.6.
The formula relating the monetary multiplier and the reserve ratio shows that as the monetary multiplier increases, the reserve ratio decreases. If the monetary multiplier is 6, the reserve ratio must be 0.167.
To determine the reserve ratio given the monetary multiplier, we can use the formula:
Monetary Multiplier = 1 / Reserve Ratio
Given that the monetary multiplier is 6, we can substitute this value into the formula:
6 = 1 / Reserve Ratio
To isolate the reserve ratio, we can take the reciprocal of both sides of the equation:
1 / 6 = 1 / (1 / Reserve Ratio)
1 / 6 = Reserve Ratio
Therefore, the reserve ratio must be 1/6 or approximately 0.167.
Among the given options, b) 0.167 represents the correct answer.
Learn more about approximately here:
https://brainly.com/question/31695967
#SPJ11
Which of the following are solutions to the equation below? Check all that apply. X^2 - 8x + 16 = 5
Given equation is
\(\begin{gathered} x^2-8x+16=5 \\ x^2-8x+16-5=0 \\ x^2-8x+11=0 \end{gathered}\)The quadratic formula for the quadratic equation
\(ax^2+bx+c=0\)is
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Here, a=1,b=-8,c=11.
\(\begin{gathered} x=\frac{-(-8)\pm\sqrt[]{(-8)^2-4(1)(11)}}{2(1)} \\ =\frac{8\pm\sqrt[]{64-44}}{2} \\ =\frac{8\pm\sqrt[]{20}}{2} \\ =\frac{8\pm\sqrt[]{5\cdot4}}{2} \\ =\frac{8\pm2\sqrt[]{5}}{2} \\ =\frac{8}{2}\pm\frac{2\sqrt[]{5}}{2} \\ =4\pm\sqrt[]{5} \end{gathered}\)So, the solutions are
\(\sqrt[]{5}+4,-\sqrt[]{5}+4\)So, the correct options are C and E.
Aaron bought a pair of shorts online for $22. He used a coupon code to get a 20% discount. The website also applied a 10% processing fee to the price after the discount. How much did Aaron pay, in the end? Round to the nearest cent.
Answer:
19.36
Step-by-step explanation:
First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.
Write the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in this order and insert ‘+ ‘or ‘–' between them to get the result (a) 5 (b) –3(D)
Answer:
5
Step-by-step explanation:
we can write the digits in following form
0+1-2+3-4+5-6+7-8+9
= -1 - 1 -1 -1 +9
=-2-2+9
= -4+9
= 5
The following set of coordinates represents which figu
(8,8), (6,6), (8,4), (10, 6) (5 points)
Parallelogram
Rectangle
Rhombus
Square
Answer:
creates a rhombus
Step-by-step explanation:
i just used desmos, i have no idea how to explain it :/
One study indicates that each individual in the United States produces about 2 kg of solid waste per day. That figure is up from about 1.2 kg in 1960. Which is most responsible for the increase?
A more packaging
B denser solid waste
C more electronic devices
D increased food consumption
As per the unitary method, most responsible for the increase is more packing.
The term unitary method in math refers the process of finding the value of a single unit, and based on this value.
Here we have given that One study indicates that each individual in the United States produces about 2 kg of solid waste per day. That figure is up from about 1.2 kg in 1960.
And we need to find most responsible for the increase.
While we looking into the given question, we have identified that in 1960 the solid waste per day is 1.2 kg.
And the current solid waste per day is 2 kg.
Then the the difference between these two is calculated as,
=> 2 - 1.2
=> 0.8kg.
So, there is 800 gram of waste is increased and while looking into the given option, the resulting one is option (a).
To know more about Unitary method here.
https://brainly.com/question/28276953
#SPJ4
6th grade math help me pleaseee
Answer:
The 2nd graph
Step-by-step explanation:
The y-intercept of the second graph has a y intercept of 6 and a slope of 3.
Answer:
the second one
Step-by-step explanation:
The one closest to the buttons that say clear and button. Under it.
100 POINTS AND BRAINLIEST PLEASE HURRY!
Which of the following sentences uses the word "embolden" correctly?
Jimmy was scared and emboldened by the ghost.
Jenny’s stressful day at school emboldened her to go to bed early.
Jenny’s initial success off the high-dive emboldened her to try again.
Jimmy emboldened the text in order to make it stand out on the page.
Answer:
Jenny’s initial success off the high-dive emboldened her to try again.
Step-by-step explanation:
embolden means to give (someone) the courage or confidence to do something or to behave in a certain way.
Answer:
I believe the correct answer is C, ‘Jenny’s initial successs off the high-dive emboldened her to try again.’
This is because the word ’bold’ basically means to be without fear.
I hope this helps you some! Have a good rest of your day/night!
|x - 6| = 1 absolute value step pls
Answer:
x = 7 or 5
Step-by-step explanation:
This is the answer because:
1) The absolute value changes a negative number to a positive number if you result in a negative answer
2) Therefore, I7 - 6I is 1 and I5 - 6I is also 1 because 5 - 6 is -1, however, the absolute value is positive 1
Hope this helps! :D
The diagram shows 2 straight line , PQ and QR
Find the equation of QR
Help me to explain :)
Answer:
Step-by-step explanation:
We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:
3h + 4(3) = 6 and
3h + 12 = 6 and
3h = -6 so
h = -2
The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:
\(m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1\)
So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:
y - 8 = 1(x - 3) and
y - 8 = x - 3 and
y - x = 5 or
-x + y = 5. If your teacher does not want you to lead with a negative:
x - y = -5 would be your equation in standard form.
what is the rate of change between the points (0,5) and (1,-1)?
Answer:
Rate of change (slope) = - 6
Step-by-step explanation:
(-1-5)/(1-0) = -6/1 = -6
You are given \( f=10 \) meissurements: \( 3,5,4,6,10,5,6,9,2,13 \). (D) Calculate \( x_{2} \) \( \frac{2}{x}= \) (b) Firud m. \( m= \) (c) Find the mode. (If these is more than one mode, enter your answer
Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13
Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).
(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.
First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.
Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.
Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.
(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.
To know more about modes visit:
brainly.com/question/33298559
#SPJ11
4.5 Consider the simple white noise process, Z, = a₁. Discuss the consequence of overdifferencing by examining the ACF, PACF, and AR representation of the differ- enced series, W,₁ − Zt - Zt-1·
Overdifferencing refers to the situation where a time series is differenced more times than necessary.
When a white noise process, Z, is overdifferenced, the differenced series, W, can exhibit unusual patterns in the ACF and PACF. The ACF of an overdifferenced series may show significant non-zero values at multiple lags, indicating the presence of spurious correlations. Similarly, the PACF may exhibit significant values at multiple lags, suggesting the possibility of an overly complex AR model.
To avoid overdifferencing, it is important to carefully determine the appropriate order of differencing for a time series. This can be done by examining the patterns in the ACF and PACF and selecting the minimum differencing order necessary to achieve stationarity.
Learn more about multiple here:
https://brainly.com/question/14059007
#SPJ11
For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
Learn more about maximum value here:
brainly.com/question/23504923
#SPJ4
HELP QUICK QUICK QUICK 10 POINTS
Answer: Where is it???????
Answer
my answer is what's the question?
Step-by-step explanation:
According to Remland, which of the following is the primary code we use to signal identity?
The primary code we use to signal identity, according to Remland, is nonverbal communication.
Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.
Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.
Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.
According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.
To know more about communication visit:
https://brainly.com/question/28153246
#SPJ11
find the surface area?
Surface area implies the external surface that bounds a given shape. The surface area of the shape is 384 sq in.
The surface area of a shape is the external side of the shape that can be seen. Sometimes, a given shape may have different shapes that forms its surface area.
From the given question,
i. The area of triangular surface = 1/2 * base* height
= 1/2*12*8
= 48
Area of the triangular surface = 48 sq in.
ii. The area of its rectangular sides = length * width
= 9* 10
= 90
Area of its rectangular sides = 90 sq in.
iii. The area of its base = length * width
= 9 * 12
= 108
Area of its base = 108 sq in.
Therefore,
the surface area of the shape = (2*48) + (2*90) + 108
= 96 + 180 + 108
= 384 sq in.
The surface area of the given shape is 384 square inches.
Learn more about surface area at https://brainly.com/question/28178861
#SPJ1
HELP PLEASE ASAP
By construction, copy the anglos given Leave a construction arcs in your final figure
x
Costa R2
What’s the IQR for jacobs data set
The IQR for Jacob's data set is determined as: 2 seconds.
What is the Interquartile Range of a Data Set?To find the interquartile range (IQR) of a Data set, find the third quartile value and the first quartile value. Their difference is the Interquartile Range (IQR) of the data.
Interquartile Range (IQR) = third quartile - first quartile.
In the box plot given, we can deduce that:
Third quartile = 15.5
First quartile = 13.5
Interquartile Range (IQR) = 15.5 - 13.5
Interquartile Range (IQR) = 2 seconds
Learn more about interquartile range on:
https://brainly.com/question/4102829
#SPJ1
Answer: 2 seconds
Step-by-step explanation:
suppose that you are rolling a six sided dice. let a = even what is p(ac)?
Answer:
1/2
Step-by-step explanation:
When you roll a 6-sided die, there are 6 possible outcomes:
1, 2, 3, 4, 5, 6
3 of the outcomes are even, and 3 of the outcomes are odd.
p(A) = p(even) = 3/6 = 1/2
p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2
What is the appropriate measure of variation (spread) for these data?
4 7
2 3
4 2
1 3
9 8
5 1
3 2
3 2
4 3
6 5
The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.
The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.
To calculate the standard deviation for this data set, follow these steps:
1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65
2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275
3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287
Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.
To learn more about the appropriate measure of variation, click here: https://brainly.com/question/28502442
#SPJ11
Randois samples of four different models of cars were selected and the gas mileage of each car was meased. The results are shown below Z (F/PALE ma II # 21 226 22 725 21 Test the claim that the four d
In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .
To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.
To know more about hypothesis visit :
https://brainly.com/question/29576929
#SPJ11
How does the volume of prism change when one of the dimensions is doubled? two of the dimensions? all three of the dimensions?
When one dimension of a prism is doubled, the volume of the prism also doubles. When two dimensions are doubled, the volume increases by a factor of four. When all three dimensions are doubled, the volume increases by a factor of eight.
The volume of a prism is determined by multiplying its base area by its height. Let's consider a prism with dimensions length (L), width (W), and height (H). If one dimension is doubled, let's say the length (L), the new length becomes 2L. Since volume is proportional to the product of the dimensions, the new volume is calculated as (2L) * W * H, which simplifies to 2(L * W * H). Therefore, the volume doubles when one dimension is doubled.
Similarly, when two dimensions are doubled, let's say the length (L) and width (W), the new length becomes 2L and the new width becomes 2W. The new volume is calculated as (2L) * (2W) * H, which simplifies to 4(L * W * H). Hence, the volume increases by a factor of four when two dimensions are doubled.
When all three dimensions are doubled, each dimension becomes twice its original value. So, the new volume is calculated as (2L) * (2W) * (2H), which simplifies to 8(L * W * H). Consequently, the volume increases by a factor of eight when all three dimensions are doubled.
In summary, doubling one dimension doubles the volume, doubling two dimensions increases the volume by a factor of four, and doubling all three dimensions increases the volume by a factor of eight.
Learn more about dimensions here:
https://brainly.com/question/29835748
#SPJ11
i need help with this
The equation of the line is: y = 0.05x + 0.1.
How to Write a Linear Equation?A linear equation written in slope-intercept form is y = mx + b, where slope or unit rate is m, and y-intercept or starting value is b.
From the information given, we can derive the two points (3, 0.25) and (13, 0.75) if:
x = year
y = price per pound of apples
Find the slope (m) of the equation:
Slope (m) = change in y / change in x = 0.75 - 0.25 / 13 - 3
Slope (m) = 0.5 / 10
m = 0.05
Find y-intercept (b) by substituting m = 0.05 and (x, y) = (3, 0.25) into y = mx + b:
0.25 = 0.05(3) + b
0.25 = 0.15 + b
0.25 - 0.15 = b
b = 0.1
To write the linear equation, substitute m = 0.05 and b = 0.1 into y = mx + b:
y = 0.05x + 0.1
Learn more about the linear equation on:
https://brainly.com/question/1884491
#SPJ1
.........................................
Answer:
66 red marbles
Step-by-step explanation:
We can find how much 11/12 is by finding what 1/12 is.
72/1*11/12=792/12 which is 66 so 66 marbles.
brainliest?
Finding slope intercept
Answer: the equation is y=3x+4
Step-by-step explanation:
The equation to the promblem is y=3x+4 becuase the y intercept is 4 and the slope is going up by 3.
Write the algebraic expression for the following statement.
The sum of a number and 3 is 14.
Answer:
the algebraic expression is; x+3=14
Solve each proportion. 10/14=15/x
Answer:x=21
Step-by-step explanation:
10/14=15/x
5/7=15x^-1
(5/7)/15=ans
ans=x^-1
ans^-1=21
Answer: x=21
Step-by-step explanation:
\(\frac{10}{14} =\frac{15}{x}\)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.
x×10=14×15
Multiply 14 and 15 to get 210.
x×10=210
Divide both sides by 10.
x=
10
210
Divide 210 by 10 to get 21.
x=21
1) Consider a circle of radius 5 miles with an arc on the circle of length 3 miles. What would be the measure of the central angle that subtends that arc
Answer:
Given that a circle of radius 5 miles has an arc of length 3 miles.
The central angle of the arc can be found using the formula:\(\[\text{Central angle} = \frac{\text{Arc length}}{\text{Radius}}\]\)
Substitute the given values into the formula to get:\(\[\text{Central angle} = \frac{3}{5}\]\)
To get the answer in degrees, multiply by 180/π:\(\[\text{Central angle} = \frac{3}{5} \cdot \frac{180}{\pi}\]\)
Simplify the expression:\(\[\text{Central angle} \approx 34.38^{\circ}\]\)
Therefore, the measure of the central angle that subtends the arc of length 3 miles in a circle of radius 5 miles is approximately 34.38 degrees.
Central angle: https://brainly.com/question/1525312
#SPJ11
how to show that two triangles are congruent
Answer:
To show that 2 triangles are congruent, both triangles must have the same the same size and shape. Basically both triangles must have the same 3 angles and 3 sides.
Step-by-step explanation:
This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.
Hope this helped! :D
Answer:
Step-by-step explanation:
Follow this rules
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side)