a) The probability of rolling a total of 5 is 1/9.
b) If a pair of fair dice 360 times, then 40 times you will get a total of 5.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The number of 5 in the table is 4.
The total number of outcomes is 6 × 6 = 36
The number of outcomes of favorable event is 4.
Total number of outcomes is 36.
The probability getting total of 5 after rolling the pair of dice is
=4/36
Divide the denominator and numerator by 4:
= 1/9
If 360 time the pair of dice rolled, the number of times to get total 5 is
360 × (1/9)
= 40.
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Solve for the variable K.
m/k=x
Answer:
\( \frac{m}{k} = x \\ \\ kx = m \\ \\ k = \frac{m}{x} \)
I hope I helped you^_^
Answer:
\( \frac{m}{k} = x \\ \\ \frac{1}{k} = \frac{x}{m} \\ \\ k = \frac{m}{x} \)
Hope it helps
LMNO is a parallelogram. If sides NM=2x+5, OL=x+10,and NO=7x-3. Find the value of X and then find the length of NM and NO
You want all of the answers or just one?
Answer:
Step-by-step explanation:
opposite sides of a parallelogram are equal . So,
NM = OL
2x + 5 = x + 10
2x - x = 10 - 5
x = 5
substitute the value of x
NM = 2x + 5
=2*5 + 5
=15
for NO also substitute 5 inplace of x
Graph the line that represents the equation
y+2=1/2 (x+2)
Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1
so you start at -1 and go over 2 and up 1 and you woulld land on 2
so you would graph at (2,-1) i think
Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 minutes. Which species is slower, and at what speed can it fly?
Answer:
all i know is species A is faster, but i dont really feel like seeing witch one goes how much slower or faster
Step-by-step explanation:
ok so if you use the unit speed, you should get a higher one for species A.
Find the number of real-number solutions of the equation. −x2 − 10x = 25
-2.083333333333
Step-by-step explanation:
I got a rational number which is -2.083333333
-2x-10x=25
-12x=25
x=-2.083333
Answer:
Step-by-step explanation:
\(-x^{2} -10x-25=0 SE CAMBIA LOS SIGNOS\\x^{2} +10X+25=0 (se utiliza (a^{2} + 2 ab^{2} + b^{2}), asi factorizando la expresion).\\(x+5)^{2} =0\\x+5=0\\x= -5\)
the line shown contains ( -1,2) and (1,-1) what is the slope of the line
Answer:
m=-3/2
Step-by-step explanation:
To find slope we can use the formula y2-y1/x2-x1
Let's plug in our points
-1-2/1--1 which is -3/2
Our slope is -3/2
Answer:
m=-3/2
Step-by-step explanation:
In order to solve this problem, you must use the slope formula.
Slope formula:
\(\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }\)
y2=(-1)
y1=2
x2=1
x1=(-1)
Rewrite the problem down.
Solve.
\(\sf{\dfrac{-1-2}{1-(-1)}=\dfrac{-1-2}{1+1}=\dfrac{-3}{2}=\boxed{\sf{-\dfrac{3}{2} }} }\)
Therefore, the slope is -3/2, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Carmen earns a base salary of $125,000, a commission of 4% of her total sales, and a performance bonus of $25,000. If her total compensation last year was more than $350,000, what was the least her total sales could be?
Answer:
$5,000,0000= total sales
Step-by-step explanation:
Giving the following information:
Commission rate= 4%
First, we need to calculate the total commission earned:
Commission= 350,000 - 125,000 - 25,000
Commission= $200,000
Now, using the following formulas, we can determine the total sales:
Commission= total sales*commission rate
200,000= total sales*0.04
200,000/0.04= total sales
$5,000,0000= total sales
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
How do you find eigenvalues and eigenvectors of a matrix?
Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.
In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.
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a truck traveled the first 120 miles of a trip at one speed and the last 220 miles at an average speed of 5 miles per hour less. the entire trip took 6 hours. what was the average speed for the first part of the trip?
The average speed for the first part of the trip is 60 miles.
Given:
1st leg DATA:
distance = 120 miles ;
rate = x mph ;
time = d/r = 120/x hrs
2nd leg DATA:
distance = 220 miles ;
rate = x-5 mph ;
time = 220/(x-5) hrs
hence the equation we frame is:
Equation:
120/x + 220/(x-5) = 6
120(x-5) + 220x = 6x(x-5)
120x - 600 + 220x = 6x² - 30x
-6x² + 340x + 30x - 600 =0
-6x² + 370x - 600 = 0
-3x² - 185x + 300 = 0
(3x-5)(x-60)
3x = 5 or x-60=0
x = 5/3 or x = 60
hence x-5 = 60-5
= 55 miles per hour.
Hence we get the answer as 60 miles.
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For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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can i have some help
Answer:
first one is no sec is hes third is no fourth no
Step-by-step explanation:because when we do this think of your mind
2. Zariya received a discount of 11% on a dress costing $85.50. How much did she pay for the dress?
A. $94.91
B.$9.41
C.$75.60
D.$75.00
Answer:D
Step-by-step explanation:
Use the formula to find the volume of the figure. Show your work.
Hello !
Answer:
\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)
Step-by-step explanation:
To find the volume of a cone with the radius of its base and its height, we will apply the following formula:
\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)
Where r is the radius of its base and h is its height.
Given:
r = 10 mh = 23 mLet's substitute our values into the formula:
\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)
Have a nice day ;)
9 + 10 HURRY UP ASAP!1!!!!!!!!!!
Answer:
19
Step-by-step explanation
adding 9+10 makes 19
Explain how each of the following will affect the relative values of the dollar and the British pound (which
one appreciates, which one depreciates):
• Income growth higher in the United States than in Britain.
• Inflation higher in Britain than in the United States.
• A real interest rate higher in the United States than in Britain
If income growth is higher in the United States, the dollar would appreciate and the British pound would depreciate.
If inflation is higher in Britain, the dollar would appreciate and the British pound would depreciate.
If real interest rate is higher in the United States, the dollar would appreciate and the British pound would depreciate.
What leads to currency appreciation or depreciation?
Exchange rate is the relative value of two or more currencies. When a currency appreciates, it means that one unit of that currency is buying more units of another currency. When a currency depreciates, it means that one unit of that currency is buying less units of another currency.
If income growth is higher in the United States, it indicates that the economy is growing. As a result the dollar would appreciate in value.
Inflation is when there is a persistent rise in the general price levels. Inflation decreases the purchasing power of currency. Thus, if inflation is higher in Britain, the British pound would depreciate.
If real interest rate is higher in the United States, more investors would want to invest in the US. This would increase the demand for the dollar. As a result, the US dollar would appreciate in value.
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To ship a box, UPS charges $7 for the box and $0.20 for each pound it weighs.
FedEx charges $5 for the box and $0.30 for each pound it weighs. How many
pounds, p, will it take for UPS and FedEx to cost the same?
PLEASE HELP !!!
Answer:
20 pounds
Step-by-step explanation:
To know the number of pounds it will take for UPS and FedEx to cost the same, we will equal both the equations. Hence, it will take 20 pounds to make both equal.
2a*5a⁷
what is this in it's smallest form
Answer:
Step-by-step explanation:
\(2a(5a^7)\\ \\ 2(5)a(a^7)\\ \\ 10a^{(1+7)}\\ \\ 10a^8\)
What is the slope of the line that passes through the points (-8, -6)(−8,−6) and (-8, 4)(−8,4)? Write your answer in simplest form.
Which is the graph of the inverse sine function?
On a coordinate plane, a graph starts at (negative 1, negative StartFraction pi over 2) and increases through (0, 0) to (1, StartFraction pi Over 2 EndFraction).
On a coordinate plane, a graph starts at (negative 1, pi) and decreases through (0, StartFraction pi Over 2 EndFraction) to (1, 0).
On a coordinate plane, a graph starts at (negative StartFraction pi Over 2 EndFraction, 0) and increases through (0, 0) to (StartFraction pi Over 2 Endfraction, 1).
a) is the graph of inverse sine function.
Define inverse sine function.The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.
When the opposing side and hypotenuse of a right triangle are known, the angles can be determined using the inverse sine function. That is, angle = sin-1. The inverse sine function, which is represented as sin-1 or arcsine, is one of the inverse trigonometric functions that calculates the inverse of the sine function. Each restricted domain inverse of a trigonometric function, such as cosine, tangent, cosecant, or cotangent, exists. The trigonometric ratios from the right-angle triangle are utilized to compute the angles using the inverse function formulas.
Given,
a) is the graph of inverse sine function.
Function - inverse sine
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Answer:
A
Step-by-step explanation:
24)
12
21
X
84
91
28
Answer:
13
Step-by-step explanation:
12×7 = 84,
so the scale ratio is 1/7
now 91×1/7
= 91/7
= 13
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
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Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5) pls answer
Answer:
Step-by-step explanation:
Finding an equation of a tangent line to that function requires that we find the derivative of the function at that point. Since this is an absolute value function with its cusp at (2, 5), the function is not differentiable here.
What word is missing from this true mathematical statement: Twelve is congruent to 60 ______ 8 because both 12 and 60 have 4 as a remainder when divided by 8?
The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.
The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.
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a researcher selects a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote. the sample consists of 40 females, of whom 30 are registered voters, and 60 males, of whom 40 are registered voters. if these data are used for a chi-square test for independence, what is the expected frequency for registered females?
If these data are used for a chi-square test for independence, the expected frequency for registered females is 28
In this question we hvw been given a sample of 100 people to investigate the relationship between gender (male/female) and registering to vote.
From given information we have,
registered non-registered total
male 40 20 60
female 30 10 40
total 70 30 100
We need to find the expected frequency for registered females.
We know that the formula for the expected frequency:
expected frequency = (Row Total * Column Total)/N
Here, Row Total = 40
Column Total = 70
and N = 100
The expected frequency for registered females would be:
E = (40 * 70)/100
E = 2800/100
E = 28
Therefore, the expected frequency for registered females is 28
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a study finds a correlation coefficient of r = .52 and reports p < .05. the p value indicates which of the following?
Based on the information provided, a correlation coefficient of r = .52 and a reported p < .05 indicates that there is a statistically significant positive relationship between the two variables being studied.
The p-value of less than .05 suggests that the observed correlation is unlikely to be due to chance, and the positive r- value of .52 shows a moderate strength in the relationship. The p-value in this context indicates the statistical significance of the correlation coefficient. When it is stated that "p < .05," it means that the p-value associated with the correlation coefficient is less than 0.05. This is typically used as a threshold to determine statistical significance.
In statistical hypothesis testing, the p-value represents the probability of obtaining a correlation coefficient as extreme as the observed value (or more extreme) if there were no true correlation in the population. Therefore, a p-value less than 0.05 suggests that the observed correlation coefficient is statistically significant.
In other words, the p-value being less than 0.05 indicates that the correlation observed in the study is unlikely to have occurred by chance alone. It provides evidence to support the existence of a relationship between the variables being studied.
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which equation represents a line which is perpendicular to y=0
Answer:
This is not possible. Perpendicular lines are opposite but there are no opposites of 0
Step-by-step explanation:
Calculate the average rate of change of fover the interval -3≤x≤9. Show the calculations that lead to your answer.
The function has an average rate of change f is 1/2 over the interval
How to determine the average rate of change f?The possible graph that completes the question is added as an attachment
The interval is given as
-3 ≤ x ≤ 9
This can be rewritten as
x = -3 to x = 9
This can also be represented as
(a, b) = [-3, 9]
From the attached graph, we have
f(-3) = -1.5
Also, we have
f(9) = 0.5
The estimate (to one decimal place) of the average rate of change f is calculated as
Rate = [f(b) - f(a)]/[b - a]
This gives
Rate = [f(9) - f(-3)]/[9 + 3]
So, we have
Rate = [0.5 + 1.5]/[9 + 3]
Evaluate
Rate = 2/12
Simplify
Rate = 1/6
Hence, the average rate of change f is 1/6
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3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
im smart
find the value of given expression
\( \sqrt{1221 \times 1221} \)
Answer:
\(1221\sqrt{x}\)
Step-by-step explanation:
1221 x 1221 = 1490841
square root of 1490841 is 1221
Answer:
\(1221\)
Step-by-step explanation:
\( \sqrt{1221 \times 1221} \\ = 1221\)