Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
Which Triangles are Congruent and Explain Why.
Answer:
D
Step-by-step explanation:
because I remember doing this before
Qs. If three masons construct a wall in.
four days . In how many days, five such
masons can construect wall.
Answer:
2.5 days
Step-by-step explanation:
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
hi nessaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa :>
Answer:1 1/15
Step-by-step explanation:
2/3 x 5= 10/15
2/5 x 3= 6/15
Both denominators have to be the same so you can add them together.
10/15 + 6/15=16/15 or 1 1/15
On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, use the binomial model to find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Answer:
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Population of 280, which means that [tex]N = 280[/tex]
112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]
Sample of eight passengers means that [tex]n = 8[/tex]
Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
This is P(X = 4). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
FIND THE MISSING SIDE LENGTHS!!!!!
Step-by-step explanation:
tan 30°= root 3/ 3
r²=x² + y²
r²= 4root3 ² + 12²
r²= 48 +144
r²= 192
ŕ= 8root3
so the bottom is 12...
the other side is 4root3
[tex]4 \sqrt{3} [/tex]
and hypotenuse is 8root3
[tex]8 \sqrt{3} [/tex]
: If Newton Manufacturers has an accounts receivable turnover of 4.8 times and net sales of $7,812,379, what would its receivables be?
Answer:
$1,627,579
Step-by-step explanation:
Given that
The account receivable turnover is 4.8 times
And, the net sales is $7,812,379
We need to find out the receivable
So as we know that
accounts receivable turnover = net sales ÷ average accounts receivables
Therefore the accounts receivables is
= ($7,812,379 ÷ 4.8)
= $1,627,578.96
= $1,627,579
A survey of 1100 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 49% of the females and 41% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 294 reported window tinting as their preferred luxury upgrade ofchoice, while of 500 males, 205 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below.
a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05
level of significance?
b. State the null and alternativehypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury upgrade.
Answer:
a) The p-value of the test is 0.0076 < 0.05, which means that there is evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05.
b) The null hypothesis is [tex]H_0: \pi_1 - \pi_2 = 0[/tex] and the alternate hypothesis is [tex]H_1: \pi_1 - \pi_2 \neq 0[/tex].
Step-by-step explanation:
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Females:
49% from a sample of 600. So
[tex]\pi_1 = 0.49, s_{\pi_1} = \sqrt{\frac{0.49*0.51}{600}} = 0.0204[/tex]
Males:
41% from a sample of 500. So
[tex]\pi_2 = 0.41, s_{\pi_2} = \sqrt{\frac{0.41*0.59}{500}} = 0.022[/tex]
Test if there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.
From here, question b can already be answered.
At the null hypothesis we test if there is no difference, that is, the subtraction of the proportions is 0. So
[tex]H_0: \pi_1 - \pi_2 = 0[/tex]
At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the proportions is different of 0. So
[tex]H_1: \pi_1 - \pi_2 \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples:
[tex]X = \pi_1 - \pi_2 = 0.49 - 0.41 = 0.08[/tex]
[tex]s = \sqrt{s_{\pi_1}^2 + s_{\pi_2}^2} = \sqrt{0.0204^2 + 0.022^2} = 0.03[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.08 - 0}{0.03}[/tex]
[tex]z = 2.67[/tex]
Question a:
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0 by at least 0.08, which is P(|Z| > 2.670, which is 2 multiplied by the p-value of Z = -2.67.
Looking at the z-table, Z = -2.67 has a p-value of 0.0038.
2*0.0038 = 0.0076
The p-value of the test is 0.0076 < 0.05, which means that there is evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05.
Which choices are equations for the line shown below? Check all that apply.
(-2, 4)
(1-2)
Answer:
A, C and F.
Step-by-step explanation:
Equation of a line:
The equation of a line has two formats:
[tex]y = mx + b[/tex]
Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).
And in point-slope form:
[tex]y - y(0) = m(x - x(0))[/tex]
In which (x(0),y(0)) is the point and m is the slope.
Slope:
When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So
Change in y: -2 - 4 = -6
Change in x: 1 - (-2) = 1 + 2 = 3. So
m = -6/3 = -2.
Equation in slope-intercept:
The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:
[tex]y = -2x[/tex], so option A is marked.
Equation if point-slope:
Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So
[tex]y - y(0) = m(x - x(0))[/tex]
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
So option C is correct.
Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So
[tex]y - y_0 = m(x - x(0))[/tex]
[tex]y - (-2) = -2(x - 1)[/tex]
[tex]y + 2 = -2(x - 1)[/tex]
So option F is correct.
Answer:
Options A, C and F are correct.
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answer:
Step-by-step explanation:
12/35
Ignore the instructions if you know how to do it in a different way & please check answer!
~Rules~
a. NO LINKS/FILES
b. NO SILLY ANSWER
c. SHOW WORK/EXPLAIN HOW YOU GOT IT
If you follow all the rules I will give Brainliest.
~Hocus Pocus
Answer:
8ft is the diameter so the radius would be half of that, so it's 4ft. Now substitute
[tex]\pi4 {}^{2} [/tex]
now solve 4^2=16 now multiply it by 3.14 (pi). 16×3.14= 50.24
Which fact is related to 12 : 3 = 4
Answer:
3x4 = 12 is the most related fact to 12:3 = 4
Step-by-step explanation:
Helpp
Based on the histogram above, which of the following statements must be true
Answer:
b
Step-by-step explanation:
because the price of money is maximum 2,500
GUYS QUICK! what is the surface area of a sphere that has a radius of 5 cm
Answer:
100 pi cm^2
or approximately 314 cm^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 *pi * 5^2
SA = 4*pi(25
SA = 100 pi cm^2
If pi is 3.14
SA = 100 *3.14 = 314 cm^2
[tex]\large\fbox{\underline{Surfαcє αrєα σf sphєrє ís 314 cm ².}}[/tex]
Step-by-step explanation:◈ Gívєn ◈☞ Rαdíus σf sphєrє = 5 cm
◈ Tσ FínD ◈☞ Surfαcє αrєα σf sphєrє
◈ Fσrmulα nєєdєd ◈☞ Surfαcє αrєα σf sphєrє = 4 π r ²
◈ Sσlutíσn ◈usíng thє fσrmulα
surfαcє αrєα σf sphєrє = 4 π r ²
suвstítutє thє vαluєs
surfαcє αrєα σf sphєrє = 4 × 3.14 × ( 5×5 ) cm ²
mutíplчíng thє vαluєs
surfαcє αrєα σf sphєrє = 100 cm² × 3.14
Hєncє , Surfαcє αrєα σf sphєrє ís 314cm ².
–––––––––☆–––––––––Use the picture below to answer the question that
follows.
Which is the volume of the cylinder
Answer:
___y141.3cm is the answer
NO LINKS!!! NOT AN ASSESSMENT OR TEST!!!! NOT MULTIPLE CHOICE!!
a. Sketch a graph to model Seattle's cost structure over the domain [0, 42,000]. Be sure to label the axes and any endpoints where the graph breaks.
b. Describe the function over each part of its domain. State whether it is constant, increasing or decreasing, and state the slope over each part.
Part (a)
The graph is shown below. It's a piecewise function composed of 3 parts: Two flat horizontal segments and a decreasing segment.
Note the use of open holes at points C and E. They tell the reader that the specific point is not part of the function. For example, point C at (8000,0.75) is an open hole since the second piece has x = 8000 excluded. In other words, the domain for the second piece is [tex]8,000 < x \le 20,000[/tex] which says to exclude 8000 but to include 20,000.
============================================================
Part (b)
The flat parts are due to the two first pieces being constant functions. Regardless of what x is on those portions, the cost per unit stays the same. We see that the cost starts off at 35 cents per unit (green segment), then it jumps to 75 cents per unit (blue segment).
So far the costs have been constant, but once we get to the red curve portion, then the costs decrease as x increases. Note that 1/(200,000) = 0.000005 which means the costs are decreasing by 0.000005 dollars per unit. Let's multiply that by 10,000 to get 10,000*0.000005 = 0.05
So for the red portion, the costs are decreasing by $0.05 per 10,000 units, or they are decreasing by 5 cents per 10,000 units. When x > 20000, the lowest we can get the cost is at 62 cents per unit. This is when production is at max capacity (42,000 units).
If you wanted the cost per unit to be as small as possible, and x didn't have to be larger than 20 thousand, then you'd stick to the green line. However, the drawback here is that you can only produce at max 8000 units.
Answer:
Person above was super helpful!
Step-by-step explanation:
HELP PLS +10 BRAINLY POINTS (SHOW WORK PLS)
Hi there!
[tex]\large\boxed{\text{System G.}}[/tex]
For a system to have an infinite number of solutions, both expressions must be equal. We can go through each system and determine this:
F:
x + 2 = y
4 = 2y - x
If we rearrange so that both are in the same format, we get:
x + 2 = y
x + 4 = 2y
These cannot be equal, so they do not have infinite solutions.
G:
2y + 6 = 4x
-3 = y - 2x
Rearrange:
2y + 6 = 4x
-y - 3 = -2x
We can try to make the bottom equation look like the top equation by multiplying all terms by -2. We get:
2y + 6 = 4x. This is the same as the top, so G has infinite solutions.
Just to be sure, we can go through the others:
H:
y + 3 = 2x
4x = 2y - 3
Rearrange:
y + 3 = 2x
2y - 3 = 4x. Cannot be equal to the other equation.
J:
y = 2x - 5
y = 2x - 2. Not equal.
The correct answer is G.
Find the sum of the first five terms of the geometric series 50 + 25 + 12.5 +
The answer for this question is 6.25
Liza, Cecilia,and Dylan are playing soccer. Liza and Cecilia are 120 feet apart. Dylan is in between them. If Dylan is standing the same distance from both girls, how many feet is Dylan from Liza?
Answer:
60 feet
Step-by-step explanation:
You need to find the midpoint between 0 and 120. (0+120)/2 is 60 feet.
What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth .
Answer: 282.743 in2
Step-by-step explanation:
Luci and her friends go out to lunch and receive a bill
for their meals that reads $56.80. They added a 20%
tip to their bill before tax was calculated. Tax is 8%.
How much money did they leave in total, including tax
and tip? Round to the nearest cent. Show your work.
Answer:
$72.70
Step-by-step explanation:
bill was $56.80
tip was 20% so was 56.80/ 5( because 5 of 20% will make 100%)= $11.36
tax was 8% so was 56.80*8/100= $4.54
total money paid
56.80+4.54+11.36 = 72.70
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
Simplify the expression
2(6x + 3)
Can someone help me
Answer:
y= (-6/5)x -2
Step-by-step explanation:
y=mx+b , where m is the slope, and b is the y -intercept
the y -intercept is where the line intersects the y-axis so b = -2
the slope m= y(rise) /x(run) = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))
y= (-6/5)x -2
Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:
[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:
[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:
[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:
[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:
t = 4.8 years
The probability that a tennis set will go to a tiebreaker is 16%. In 220 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers
Answer:
The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.
Step-by-step explanation:
For each set, there are only two possible outcomes. Either it goes to a tiebreak, or it does not. The probability of a set going to a tiebreak is independent of any other set, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability that a tennis set will go to a tiebreaker is 16%.
This means that [tex]p = 0.16[/tex]
220 randomly selected tennis sets
This means that [tex]n = 220[/tex]
What is the mean and the standard deviation of the number of tiebreakers?
[tex]E(X) = np = 220*0.16 = 35.2[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{220*0.16*0.84} = 5.44[/tex]
The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
The expression 4c - 3 is equal to _ when c = -2
Answer:
-11
Step-by-step explanation:
let f(c) = 4c - 3
f(-2) = 4(-2) - 3 = -8 -3 = -11
Answer:
-11
Step-by-step explanation:
4c - 3
c = -2
4(-2) - 3
-8 - 3
-11
4c - 3 = -11 when c = -2
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
Step-by-step explanation:
Part A= 59.11
Part B: i think is B
I hope this helps :))
Answer:
Step-by-step explanation:
Part A : 59.11
Part B: the answer is B. You keep the same amount of decimal places in the problem in your product. we had 2 so we have 2 decimal places in 5911 ---> 591.1 --->59.11
What is the volume of the given picture below? ( HELP PLEASE )