Answer:
17.5
Step-by-step explanation:
2:5
7 divided by 2 is 3.5
The difference is 3.5, now times each side by 3.5
7 inches:17.5 miles
What is the probability of spinning pink and rolling an odd number?
Answer:0.625 for pink and 50% for an odd number
Step-by-step explanation:
there is a 25% chance that a customer who purchases milk will also purchase bread. the probability of a milk purchase is 70% and the probability of a bread purchase is 50%. what is the probability that a customer will purchase bread given that he/she buys milk?
Answer:
If there is a 25% chance that a customer who purchases milk will also purchase bread. the probability of a milk purchase is 70%. the probability that a customer will purchase bread given that they purchase milk is 36%.
How to find the probability?
Using this formula to find the probability that a customer will purchase bread given that they purchase milk
P(B | M) = P(M / B) / P(M)
Let plug in the formula
P(B | M) = 0.25 / 0.70
P(B | M) = 0.3571 ×100
P(B | M) = 36% (approximately)
Therefore the probability is 36%.
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Which graph models the equation y = 8(0.8)x?
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
1.56666666667 as a fraction? pls help asap
to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667
Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick costs $1.40, and each box of crayons costs $0.59. How much money did Ms. Blankenship have left after these purchases?
Answer:
$16.32
Step-by-step explanation:
First you need to find how much each thing is going to cost.
So for 32 glue sticks, it will cost $44.80 because you multiply 32 by 1.40.
Next you need to find the cost of thebox of crayons, which is $18.88 because you multiply 32 by 0.59.
Then you add those two totals together and you get 63.68.
Lastly you subtract that from 80 to see how much money Ms. Blankenship has leftover which is $16.32.
Hope this helps. :)
it always tells me i have to put 20 characters but i really need help
Answer:
B
Step-by-step explanation:
25/100 is 25%.
Find the surface area of the triangular prism shown below.
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544
All of the following is included as part of a survey, EXCEPT:_________.
i. the measurement of angles and distances in accordance with specific procedures.
ii. a professional measurement of a tract of land.
iii. the type of improvements best suited for the land.
iv. the total area of the land with its mapped boundaries and elevation.
The answer to the question is (i) the measurement of angles and distances in accordance with specific procedures.
A survey is a method used to gather information about a particular population or sample group. It involves collecting data through various means such as questionnaires, interviews, and observations. The purpose of a survey is to obtain information about a particular topic or issue that can be used for analysis, decision-making, or research purposes.
The items listed in options (ii), (iii), and (iv) all pertain to information that may be included in a land survey, which is a type of survey used to determine the boundaries, size, and characteristics of a piece of land. A professional measurement of a tract of land, the type of improvements best suited for the land, and the total area of the land with its mapped boundaries and elevation are all important pieces of information that may be gathered during a land survey.
On the other hand, the measurement of angles and distances in accordance with specific procedures is not typically part of a survey, as it is more closely related to a surveying technique known as triangulation. Triangulation is a method used to determine the location of a point by measuring angles and distances from fixed points. While similar in name, surveying and triangulation are distinct practices.
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Factor each polynomial
4z^2+4z-15
Answer:
(2z + 5)(2z - 3)
Step-by-step explanation:
4z² + 4z - 15
4z² + 10z - 6z - 15
2z (2z + 5) - 3 (2z + 5)
(2z + 5)(2z - 3)
Answer:
(2z+5) (2z-3)
Step-by-step explanation:
First, multiply the first coefficient by the third.
4*-15=-60
Then find factors of -60 that add up to the middle term.
The factors are: -6 and 10-------> -6*10=-60 and -6+10=4 so -6 and 10 are the correct factors.
Break up the middle term with the factors that you got above. The new equation will be: 4\(z^{2}\)-6z+10z-15
Factor by grouping.
First, break the equation into two
(4\(z^{2}\)-6z) (10z-15)
Then, factor out the greatest number you can
2z(2z-3) 5(2z-3)
You are then left with a common binomial of 2z-3. COmbine the common binomial into 1 and combine the 2 numbers you factored out in the step above (2z and 5) The final equation will be this:
(2z+5) (2z-3)
What is the value of a+b?
A) 110
B) 125
C) 135
D) 145
Please help!!!!
What is the sum of the measures of the exterior angles of the polygon shown below? If necessary, round to the nearest tenth.
The sum of the exterior angle of the pentagon is 360 degrees.
How to find the angles in a polygon?The polygon above is a pentagon. A pentagon is a polygon with 5 sides.
If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.
Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.
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Which fraction equals a repeating decimal?
A: 18/81
B: 11/88
C: 1/5
D: 5/8
Answer:
A: 18/81
Step-by-step explanation:
A: 18/81 = 0.222222222.....
B: 11/88 = 0.125
C: 1/5 = 0.2
D 5/8 = 0.625
Could you please give me brainiest for this? I just need 1 more to get to the next level. Thanks!
ou wish to determine if there's a difference between students' self reported gpa (grade point average) or the gpa as reported on their transcript. you have an srs of 50 students what kind of significance test will you do?
A hypothesis test is the significance test we will do.
Given;
Our goal is to find out whether students' self-reported grade point averages and their transcript-reported GPAs differ from one another. What kind of significant test will you administer to your class of 50 SRS students?
hypothesis test:
To decide or judge the value of a parameter, such as the population mean, hypothesis tests are utilized. A hypothesis test can be conducted using either the critical value approach or the P-value approach. There are two sorts of errors made when doing a hypothesis test: Type I Error and Type II Error. Because a sample statistic is being used to make conclusions or judgments about the value of a parameter, the decision obtained may be incorrect.
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If (4x + 1) is one of the factors of p(x) = 4x³ + 5x² - 23x - 6, then p(x) = 0 when x =
Options :
A. 1/4
B. 1/2
C. -1/2
D. -1/4
no spam and kindly explain your answer!
Answer:
THE CORRECT OPTION IS DGiven
4x+1 is a factor of p(x) = 4x³ + 5x² - 23x - 6,
so
4x+1 =0
4x = -1
x = -1/4
Answer -p(x) = 0 when x = -1/4
The sum of 18 + 45 is a multiple of which sum?
Answer: multiple of sum 2+5
Step-by-step explanation:
18/9=2
45/9=5
2+5=7
18+45=63
63/7=9
2+5
the life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 6,000 miles. what is the probability that a randomly selected tire will have a life of at least 38,100 miles? a. 0.9115 b. 0.4115 c. 0.5885 d. 0.0885
The probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
Let, the life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 6,000 miles.
So, μ = 30000, σ = 6000, x = 38100.
Therefore,
z = (x - μ) / σ
= (38100 - 30000) / 6000
= 8100 / 6000
= 81 / 60
z = 1.35
Now,
P(X = 38100) = P(z = 1.35) = 0.9115
Hence, the probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.
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Suppose T:R2→R4, T(e1) = (1, 2, 3, 4) and T(e2) =(5, 5, 0, 0), where e1=(1, 0)
and e2=(0,1). Find the standard matrix A of T, i.e., T(x)=Ax. Also,find T(x), where
x=(2,-3).
The standard matrix A of T, i.e., T(x)=Ax. Also,find T(x), where x=(2,-3) is T(x) = (-13, -11, 6, 8).
The standard matrix A of T can be found by using the formula A = [T(e1) T(e2)], where T(e1) and T(e2) are the images of the standard basis vectors e1 and e2 under the transformation T. In this case, T(e1) = (1, 2, 3, 4) and T(e2) = (5, 5, 0, 0), so the standard matrix A of T is:
A = [T(e1) T(e2)] = [(1, 2, 3, 4) (5, 5, 0, 0)] = [[1, 5], [2, 5], [3, 0], [4, 0]]
To find T(x), where x = (2, -3), we can use the formula T(x) = Ax. Substituting the values of A and x into this formula gives:
T(x) = Ax = [[1, 5], [2, 5], [3, 0], [4, 0]] * [(2), (-3)] = [(2*1 + (-3)*5), (2*2 + (-3)*5), (2*3 + (-3)*0), (2*4 + (-3)*0)] = [(-13), (-11), (6), (8)]
So the answer is T(x) = (-13, -11, 6, 8).
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For question 2, find the x- and y-intercept of the line.
5x + 4y = 80
O A. x-intercept is 4; y-intercept is 5.
O B. x-intercept is 20; y-intercept
16.
O C. x-intercept is 5; y-intercept is 4.
O D. x-intercept is 16; y-intercept is 20.
A parking meter charges $0.25 for the first 30 minutes and $0.1 for every additional 5 minutes. If Megan is charged $1.35 for parking at this specific meter, how many minutes did she park for?
Answer:
I got 140 minutes
Step-by-step explanation:
If f(x)=-2x+4 and g(x)=x^2-5x, find all values of x for which f(x)=g(x)
The values of x for which f(x) = g(x) are -1 and 4
How to determine the values of xFrom the question, we have the following parameters that can be used in our computation:
f(x) = -2x + 4
g(x) = x^2 - 5x
Using the above as a guide, we have the following:
Plot the graphs of f(x) and g(x) on the same planeWrite out the x coordinate of the intersectionUsing the above as a guide, we have the following:
x = -1 and x = 4
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Solve the inequality for x: 1/2(2x + 4) = 3x -6
a- What are the different logs used to obtain porosity? Explain the principles of measurement, quantity measured and its relation to porosity. Illustrate with equations and/or sketches.
Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.
The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.
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write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
About 30% of people age 50 to 60 suffer from mild depression. A researcher is interested in determining if a vitamin d supplement will increase or decrease the proportion of people that have mild depression. The researcher randomly selects 500 people between the ages of 50 and 60 and ask them to take a vitamin d supplement for 6 months. At the end of the six months, the participants are asked to complete a survey. A psychologist then classifies each participant as either depressed or not. The psychologist classifies 158 people as depressed. Is the proportion of people that are classified as depressed different from 0. 30? what is the null and alternative hypothesis?.
The null and alternative hypothesis is H₀ : p = 0.30 and Hₐ : p ≠ 0.30 respectively.
A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.
Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance.
One of the ideas put out in the hypothesis test is the alternate hypothesis.
Mild depression affects about 30% of adults in the 50 to 60 age range.
500 people between the ages of 50 and 60 are chosen at random by the researcher, and they are instructed to take a vitamin D pill for six months.
The psychologist classifies 158 people as depressed.
The null hypothesis will be:
H₀ : p = 0.30 and;
The alternative hypothesis is,
Hₐ : p ≠ 0.30
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Factor each polynomial. 20 points
5a^2b^2 + 10ab +25a
8m^2n^2 - 24mn^3 +16mn
9xz^3 + 18yz^2 + 24z^2
16x^6y + 16x^2y^4 + 32x^3y^2
So, here we are to factor the polynomials :
\(\\ 1. \sf \qquad5a^2b^2 + 10ab +25a\\ \\\)
\( \longrightarrow\sf \qquad5a(ab^2 + 2b +5)\\ \\\)
\(\\ 2. \sf \qquad 8m^2n^2 - 24mn^3 +16mn\\ \\\)
\( \longrightarrow\sf \qquad 8mn(mn - 3n^2 +2)\\ \\\)
\(\\ 3. \sf \qquad 9xz^3 + 18yz^2 + 24z^2\\ \\\)
\(\longrightarrow \sf \qquad 3z(3xz^2 + 6yz+ 8z)\\ \\\)
\(\\ 4. \sf \qquad 16x^6y + 16x^2y^4 + 32x^3y^2\\ \\\)
\( \longrightarrow \sf \qquad 16 {x}^{2} y(x^4 + y^3 + 2xy)\\ \\\)
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expression.Which ordered pair makes both inequalities true?
y>-2x + 3
y
What is the distance between (-1,6) and (2,8) round to the nearest hundredth
Answer:
3.61
Step-by-step explanation:
Use the distance formula
√(2−−1)^2+(8−6)^2
√(2+1)^2+(8−6)^2
√(3)^2+(2)^2
√9+4
√13
√≈3.605551275463989
round to the nearest hundredth
3.61
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Boyle’s law states that when considering gases, volume varies inversely with pressure. If V represents the volume of the gas and P represents the pressure of the gas, what would the formula be that represents this relationship? If a balloon has a volume of 4 L of gas with a pressure of 5 atmospheres, what will the volume be when the pressure is 3 atmospheres?
The formula is V = kP, and when P = 3, V = 4/3
The formula is V = kP, and when P = 3, V = 5/3
The formula is k = VP , and when P = 3, V = 4.
The formula is k = VP, and when P = 3, V = 20/3
Answer:
D.
\(V = 20/3L\)
Step-by-step explanation:
Given
\(P = 5atm; V = 4L\)
Required
Determine V when P = 3atm
Boyles Law states that;
\(k = VP\)
When : \(P = 5atm; V = 4L\)
\(k = 5 * 4\)
\(k = 20\)
Using the same formula:
\(k = VP\)
When \(P = 3atm\)
We have:
\(20 = V * 3\)
Solve for V
\(V = 20/3L\)
Answer:
D.) The formula is k = VP, and when P = 3, V = 20/3
Step-by-step explanation:
This is right on edg. 2020
You have to find the algebraic equation to find the output number. If you know the input number. PLEASE HELP, TY!
Answer:
See below:
Step-by-step explanation:
Hello! My Name is Galaxy and I'll be helping you today :D. I hope you are having a nice day!
So what we can do is first find the different between two input/outputs. To do that we can first compare them, then calculate for them, and create an equation.
Comparison
First, to figure out the problem, we have to look at its I/Os (Input/Output). We can pick the numbers (1,48) and (2,56).
Before we do it, lets find the difference.
When \(x\) is 1, \(y\) is 48.
When \(x\) is 2, \(y\) is 56,
After we look at it, we see that for everyone 1 Input we have, 8 gets added to the output.
Calculating
So, we know that the starting number is 48 and it builds up by 8 on that, so then the starting part of the equation would be:
\(o=48+...\)
(The Ellipsis over here does not mean that the number is continuing!)
We can expand on that since we know that it adds up by 8 per number we add, but to make that work, we have to subtract 8 from 48 so that once we get one, we will get a viable output.
After we do the modifications, we get a equation that looks good!
\(o=40+8i\)
I is for the Input
O is for the Output
Checking our Answer / Final Answer
Before we move on, we have to check if our answer is correct, lets try inputing the numbers into our function and seeing if it works!
\(48=40+1(8)\\48=48\)
The first one looks correct!
\(56=40+8(2)\\56=56\)
The second one looks correct as well.
\(64=20+(8)3\\64=64\)
This is also correct, we have now verified that this is a correct equation and that it indeed works.
Final Answer: \(o=40+8i\)
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What is the length of the x-component of the vector shown below?
Answer:
13.91
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram the length of the vector along x component is given as:
Vx = Vcos(theta)
theta is the angle between the vector and the x axis
V is the length of the vector
Given
theta = 22°
V = 15
Substitute the given values into the formula above
Vx = 15cos22°
Vx = 15×0.9272
Vx = 13.91
Hence the length of the x-component of the vector is approximately 13.91