The base of a rectangular prism has an area of 12 square cm. The height of the rectangular prism is 3. What is the volume in cubic cm of this rectangular prism
Answer:
volume = 36 cm³
Step-by-step explanation:
The volume of a rectangular prism = lwh
where
w = width
l = length
h = height
The base of a rectangular prism is a rectangle and the area of a rectangle is the product of length and width. Therefore,
base area of the rectangular prism = length × width
base area = lw
Base area of the rectangular prism = 12 cm²
Recall, the formula of the volume of a rectangular prism is the product of the length, width and height.
volume = lwh
substitute lw value in the formula above
volume = 12 × 3
volume = 36 cm³
PLEASE ANSWER QUICKLY! THANK YOU :)
How do I find x to the nearest tenth?
Answer:
x=24.8
Step-by-step explanation:
1
TIN
10
Which inequality represents the same ages?
The inequality graphed below represents the ages, a, of
players on a baseball team
10 11 12 13 14 15 16 17 18 19 20
0 12
0 12 sa < 18
0 12 >as 18
12 a < 18
Answer: the last 1/ 12 a < 18
Step-by-step explanation:
What is the value of y when x = 0? When x = 0, y =
Answer:
The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.
Step-by-step explanation:
The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).
Given the graph below, which of the following statements is true?
On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2).
Answer: D.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Step-by-step explanation:
Looking at the graph included in the answer, the graph is connected between four points.
It starts with a negative slope, then changes to a positive slope after (-2, 0), and then changes back to a negative slope after (2, 2).
To answer this, first we need to know what a one-to-one function is.
A one-to-one function is any function that only has one x-coordinate for every y-coordinate. If a function has two x-coordinates for one y-coordinate (for example, (5, 4) and (10, 4)), then the function is not one-to-one.
An example of a one-to-one function is the graph of y = x.
There is only one x-coordinate for every y-coordinate on the graph.
You can use the "horizontal line" test to determine whether a function is one-to-one. If a horizontal line is placed anywhere on a graph and intersects the function more than once, the function is not one-to-one
For the function given:
When a horizontal line is placed at "y = 1", it intersects the function three times. This means that the function IS NOT one-to-one.
Choice D is correct.
The coordinates between y = 0 and y = 2 are paired with multiple x-values, and this correctly explains why the function is not one-to-one.
Answer:
Step-by-step explanation:
what is the most abundant gas in the Earth's atmosphere?
Answer:
Nitrogen
Step-by-step explanation:
Nitrogen and oxygen are by far the most common; dry air is composed of about 78% nitrogen (N2) and about 21% oxygen (O2). Argon, carbon dioxide (CO2), and many other gases are also present in much lower amounts; each makes up less than 1% of the atmosphere's mixture of gases. Hope this helped!
[Pic] The figure shows the location at which a slice is taken of a prism with base of an equilateral triangle. What will be the shape of the two-dimensional slice obtained?
A. Hexagon
B. Triangle
C. Square
D. Rectangle
Answer:
It would be B = Triangle because look where it’s cut sliced in half in a piece on top , it has three angles and a triangle has three angles so it’s B , Hope this helped :) brainliest will be appreciated
With a height of 68 in, Nelson was the shortest president of a particular club in the past century. The club presidents of the past century have a mean height of 70.7 in and a standard deviation of 2.3 in. a. What is the positive difference between Nelson's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Nelson's height to a z score. d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Nelson's height usual or unusual?
Answer:
a. The positive difference between Nelson's height and the population mean is: [tex] \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in[/tex].
b. The difference found in part (a) is 1.174 standard deviations from the mean (without taking into account if the height is above or below the mean).
c. Nelson's z-score: [tex] \\ z = -1.1739 \approx -1.174[/tex] (Nelson's height is below the population's mean 1.174 standard deviations units).
d. Nelson's height is usual since [tex] \\ -2 < -1.174 < 2[/tex].
Step-by-step explanation:
The key concept to answer this question is the z-score. A z-score "tells us" the distance from the population's mean of a raw score in standard deviation units. A positive value for a z-score indicates that the raw score is above the population mean, whereas a negative value tells us that the raw score is below the population mean. The formula to obtain this z-score is as follows:
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]
Where
[tex] \\ z[/tex] is the z-score.
[tex] \\ \mu[/tex] is the population mean.
[tex] \\ \sigma[/tex] is the population standard deviation.
From the question, we have that:
Nelson's height is 68 in. In this case, the raw score is 68 in [tex] \\ x = 68[/tex] in.[tex] \\ \mu = 70.7[/tex]in.[tex] \\ \sigma = 2.3[/tex]in.With all this information, we are ready to answer the next questions:
a. What is the positive difference between Nelson's height and the mean?
The positive difference between Nelson's height and the population mean is (taking the absolute value for this difference):
[tex] \\ \lvert 68-70.7 \rvert = \lvert 70.7-68 \rvert\;in = 2.7\;in[/tex].
That is, the positive difference is 2.7 in.
b. How many standard deviations is that [the difference found in part (a)]?
To find how many standard deviations is that, we need to divide that difference by the population standard deviation. That is:
[tex] \\ \frac{2.7\;in}{2.3\;in} \approx 1.1739 \approx 1.174[/tex]
In words, the difference found in part (a) is 1.174 standard deviations from the mean. Notice that we are not taking into account here if the raw score, x, is below or above the mean.
c. Convert Nelson's height to a z score.
Using formula [1], we have
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]
[tex] \\ z = \frac{68\;in - 70.7\;in}{2.3\;in}[/tex]
[tex] \\ z = \frac{-2.7\;in}{2.3\;in}[/tex]
[tex] \\ z = -1.1739 \approx -1.174[/tex]
This z-score "tells us" that Nelson's height is 1.174 standard deviations below the population mean (notice the negative symbol in the above result), i.e., Nelson's height is below the mean for heights in the club presidents of the past century 1.174 standard deviations units.
d. If we consider "usual" heights to be those that convert to z scores between minus2 and 2, is Nelson's height usual or unusual?
Carefully looking at Nelson's height, we notice that it is between those z-scores, because:
[tex] \\ -2 < z_{Nelson} < 2[/tex]
[tex] \\ -2 < -1.174 < 2[/tex]
Then, Nelson's height is usual according to that statement.
a study shows that, over the course of a lifetime, the average salary of college graduates is greater than the salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money of the course of you lifetime. What is the problem with reporting results this way?
Answer:
Answer: The word "ensures" implies that it is certain.
In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.
The problem is the word "ensures". Our study doesn't show certainty only a general pattern.
Step-by-step explanation:
A line passes through the point (-4,6) and has a slope of -5. Write an equation in point-slope form for this line.
Answer:
hope this helps you
Please answer this math question im desperate!! Will give brainliest!!
Answer:
Step-by-step explanation:
a ) the graph for a) is attached
y= -2x+5
when x=0, y=5 and when y=0, x=2.5
b) 4x-3y+9=0
-3y= -9-4x
y= 4/3 x+3
A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of urinary tract infections (UTIs) in women. 150150 women with a urinary tract infection were treated with an antibiotic and then randomly assigned to one of three groups. One group drank cranberry juice concentrate daily for six months; another group took a drink containing Lactobacillus, a lactose‑fermenting bacterium thought to help inhibit the growth of UTI‑causing bacteria, daily for six months; the last group served as the control group and drank neither cranberry juice nor Lactobacillus drinks for six months. After six months, the number of women in each group with recurring symptomatic urinary tract infection (defined as one or more new infections) was recorded. Here are the results.
Outcome
Treatment Recurring UTI No new UTI Total
Cranberry juice 8 42 50
Lactobacilllus 19 30 49
Control 18 32 50
1. Compute the chi-square statistic, degrees of freedom, and find the p-value for this test.
2. Range of the p-value (to three decimal places): < p-value <
Answer:
1. The chi-squared statistic = 10.36
The degrees of freedom = 17
The p-value for the test = 0.89
2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90
Step-by-step explanation:
1. The Chi squared test is given as follows;
[tex]\chi ^{2} = \sum \dfrac{\left (Observed - Expected \right )^{2}}{Expected }[/tex]
Therefore,
UTI No UTI % Total
Cranberry juice 8 42 84 50
Lactobacillus 19 30 61 49
Control 18 30 60 50
The chi-squared statistic is given as follows;
[tex]\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} + \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36[/tex]
The chi-squared statistic = 10.36
The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18
With the aid of the calculator we find the p value as p as follows;
[tex]p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)[/tex]
The p-value for the test = 0.89
2. The range of the p-value from the Chi squared table is given as follows;
0.75 < p-value < 0.90.
Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B. What is the probability that Joe will be accepted at one, and only one, university
Answer:
The probability that Joe will be accepted at one, and only one, university is 0.45 or 45%.
Step-by-step explanation:
We are given that Joe is considering pursuing an MBA degree. He has applied to two different universities.
The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B.
Let the probability that Joe will be accepted for University A = P(A) = 0.25
Probability that Joe will be accepted for University B = P(B) = 0.40
Now, Probability that Joe will be accepted at one, and only one, university is given by ;
Accepted for University A but not for University B + Accepted for University B but not for University A
= [P(A) [tex]\times[/tex] (1 - P(B))] + [P(B) [tex]\times[/tex] (1 - P(A))]
= (0.25 [tex]\times[/tex] 0.60) + (0.40 [tex]\times[/tex] 0.75)
= 0.15 + 0.30 = 0.45
Hence, the probability that Joe will be accepted at one, and only one, university is 0.45.
The probability that Joe will be accepted at one, and only one, university is 0.45 or 45%.
The calculation is as follows:Let us assume the probability that Joe will be accepted for University A = P(A) = 0.25
Now
Probability that Joe will be accepted for University B = P(B) = 0.40
Now,
= Accepted for University A but not for University B + Accepted for University B but not for University A
= [P(A) (1 - P(B))] + [P(B) (1 - P(A))]
= (0.25 0.60) + (0.40 0.75)
= 0.15 + 0.30
= 0.45
Learn more about probability here: https://brainly.com/question/795909?referrer=searchResults
Assume that you live in a simple economy in which only three goods are produced and traded: Cashews, pecans and almonds. Suppose that on January 1st 2105, cashews sold for $12.50 per pound, pecans were $4.00 per pound, and almonds were $5.50 per pound. At the end of the year you discover that the cashew crop was lower than expected and that cashew prices had increased to $17.00 per pound, but pecan prices stayed at $4.00 and almond prices has actually fallen to $3.00. Can you say what happened to the overall "price level"? How might you construct a measure of the "change in price level"? What additional information might you need to construct your measure?
Answer:
Step-by-step explanation:
The information given in the question can be represent in a table format for better understanding with the additional columns as follows:
Items Weights Q₀ Prices P₀ Prices P₁ P₀Q₀ P₁Q₀
Cashew 1 $12.50 $17.00 $12.50 $17.00
Pecans 1 $4.00 $4.00 $4.00 $4.00
Almonds 1 $5.50 $3.00 $5.50 $3.00
Total $22 $24
Can you say what happened to the overall "price level"?
The changes in overall price level can be a result of a condition termed as inflation rate
How might you construct a measure of the "change in price level"?
To construct a measure of the change in price level; we need to determine the consumer price index (CPI).
The consumer price index can be determined by using the relation:
[tex]=\mathbf{\dfrac{Sum \ of \ P_1Q_0}{Sum \ of \ P_oQ_o}*100 }[/tex]
[tex]= \mathbf{\dfrac{24}{22}*100 }[/tex]
= 109.0%
consumer price index (CPI) is 109.0% ; This implies that there is a 9.9% inflation in the economy.
which expression is equivalent to (x^1/2y^-1/4z)^-2?
Answer:
y^1/2/xz^2 option 3
Step-by-step explanation:
(x^1/2 y^-1/4 z)^-2= x^(-1/2*2) y^(1/4*2) z^-2= x^-1 y^1/2 z^-2= y^1/2/xz^2
Answer: C y^1/2/xz^2
Step-by-step explanation:
I checked with my calculator.
Suppose that the probability of a drought in any independent year is 20%. Out of those years in which a drought occurs, the probability of water rationing is ten percent. However, in any year, the probability of water rationing is five percent.
Which of the following is true?
a. 0.01
b. 0.05
c. 0.30
d. 0.02
Answer:
the correct option is d. 0.02
Step-by-step explanation:
We have the following events:
x: A drought occurd
y: Water rationing.
Therefore, according to the plaster we have:
P [x] = 0.20
P [y | x] = 0.10
Now P [it is a drought and water rationing happens] =
P [x n y] = P [y | x] * P [x] = 0.10 * 0.20 = 0.02
Which means that the correct option is d. 0.02
Work out the value of 102 - 43
Give your answer as a power of 6.
Answer:
1.9730677676839334 or 1.97 (rounded)
Step-by-step explanation:
102-43=59
does anyone know the answer for dis problem?
x = # of CDs Walter has
3x - number of CDs Brian has
144 - total
x + 3x = 144
4x = 144
x = 144/4
x = 36
Answer: D. 36
Answer:
D.36
Step-by-step explanation:
X+3X=144
4X=144 (THEN DIVIDE BOTH SIDES B 4)
X=144/4=36
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
-10
-5
OOO
) Solve the equation 3x²-7x-6=0 by completing the square method
Answer:
x=3
Step-by-step explanation:
[tex]3x^{2}[/tex]-7x-6=0
9x-7x-6=0
=9x-7x=0+6=6
2x=6
x=6/2=3
There are 7 more black than red markers in a box. If the total number of markers is 63, how many black markers are there?
Answer: 35
Step-by-step explanation: Let me know if you need an explanation.
Answer:
37
Step-by-step explanation:
Split and fill the difference
33 black
30 red
there is only a difference of three so you'll need to add and take a total of 4. to make up for the needed difference for 7.
33+2=35 black
30-2=28 red
What is the value of y???? I NEED ANSWERS!!!! Please and thank you!!!
Answer:68
Step-by-step explanation:
angle sum property
56+y+y-12=180
44+2y=180
2y=180-44=136
y=136/2
=68
VERIFICATION :56+68+56
=180
Y =112°
remember the sum of angles in a triangle equals 180°
EDIT : previous answer is right, i messed up with the sign
Your utility company charges 11 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below. a. What is the daily cost of keeping lit a 75-watt light bulb for 12 hours each day? b. How much will you save in a year if you replace the bulb with an LED bulb that provides the same amount of light using only 20 watts of power?
Answer:
a. 9.9 cents
b. 26.5 dollars
Step-by-step explanation:
The first thing they mention to us is the cost of energy 11 cents / kwh
a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh
to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,
the formula to apply would be like this:
Daily cost = flashlight cost * time * energy cost
we all know them so we replace:
Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents
b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:
20 watt * 1 kw / 1000 watt = 0.02 kw
Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents
Now by calculating the difference we multiply by 365 which are the days of a year.
Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.
A 0.143-Henry Inductor is connected in series with a variable resistor to a 208-volt 400-cycle source. For what value of capacitance will the current be (a) 1.04 ampere lagging and (b) 1.04 ampere leading?
Answer:
A.)359.2, B.)2.5 uf
Step-by-step explanation:
E / I = R
208 / 1.04 = 200 ohms
2*pi*f*L = Xl
6.28*400*.143 = 359.2 ohm
1 / (2*pi*f*Xc) = c
1 /(6.28*400*159.2) = 2.5 uf
Awnser on the lowest terms 2 hours 45 minutes + 3 hours 35 minutes
Step-by-step explanation:
2 hrs 45 min + 3 hrs 35 min
= 5 hrs 80 min
60 min = 1 hr
*80 min = 1 hr + 20 min
5hrs 80 min
= 5 hrs + 1 hr + 20 min
= 6 hrs 20 min
Answer:
6 hour 20 minutes
Step-by-step explanation:
Add the two time measurements separately.
2 hours + 3 hours = 5 hours
35 minutes + 45 minutes = 80 minutes
Now, simplify the measurements to the lowest terms. You can simplify the minutes by subtracting 60 from the value. 60 minutes is 1 hour. The number you get after subtracting is how many minutes there are.
80 - 60 = 20
80 minutes = 1 hour 20 minutes
Now add the two measurements together.
5 hours + 1 hour 20 minutes = 6 hour 20 minutes
Imagine that 55% of the 800 students participate in music instead of 60%. How could
you use the idea of halves with the bar model to find 55% of 800?
Answer:
Step-by-step explanation:
What is the range of this function?
{-4,1,7,15}
{-1,4,8,18}
{-4,-1,1,4,7,8,15,18}
{-4,-1,15,18}
Answer:
{-4,-1,1,4,7,8,15,18}
Step-by-step explanation:
The range of this function is a universal set that contains all elements of each set
And is;
{-4,-1,1,4,7,8,15,18}
Answer: its actually (-4, 1, 7, 15)
Step-by-step explanation:
Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To make the < symbol, you might want to use the < with the underline feature.
Step-by-step explanation:
Given that n! = n(n - 1)(n - 2)(n - 3)...2×1
We want to show that 2n - 1 ≤ n!
Since
n! = n(n - 1)(n - 2)(n - 3)...2×1
= n(n - 1)!
n! = n(n - 1)(n - 2)!
n! = (n² - n)(n - 2)!
From here obviously,
n! ≥ n
n! ≥ 2n
And
n! ≥ 2n - 1
Which implies
2n - 1 ≤ n!
A shopper at a local supermarket spent the following amounts in her last eight trips to the store: $32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94 The amount spent of________ is most likely an outlier.
Answer:
$75.58
The amount spent of $75.58 is most likely an outlier
Step-by-step explanation:
An outliers are unusual values in a dataset, they are data values that are extremely higher or extremely lower when compared to the other values in a data (data points that are far from other data points)
For the case above, give a dataset;
$32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94
$75.58 is extremely far from other value. So $75.58 is an outlier in the given dataset.
