Answer:
21
Step-by-step explanation:
7+7+7=21
Triangle A'B'C' is formed using the translation (x + 2 y + 0) and the dilation by a scale factor of 1/2 from the origin. Which equation explains the relationship between
AB and A"B"?
Answer:
[tex]A"B" = \frac{AB}{2}[/tex]
Step-by-step explanation:
Given
[tex]k = \frac{1}{2}[/tex] --- scale factor
Required
Relationship between AB and A"B"
[tex]k = \frac{1}{2}[/tex] implies that the sides of A"B"C" are smaller than ABC
i.e.
[tex]A"B" = k * AB[/tex]
[tex]A"B" = \frac{1}{2} * AB[/tex]
This gives:
[tex]A"B" = \frac{AB}{2}[/tex]
amy shoots a 100 arrows at a target each arrow with a probability 0.2 what is the probability that at most one of her first 10 arrows hits the target
Answer:
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either they hit the target, or they do not. The probability of a shot hitting the target is independent of any other shot, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
Each arrow with a probability 0.2
This means that [tex]p = 0.2[/tex]
First 10 arrows
This means that [tex]n = 10[/tex]
What is the probability that at most one of her first 10 arrows hits the target?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
[tex]P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1074 + 0.2684 = 0.3758[/tex]
0.3758 = 37.58% probability that at most one of her first 10 arrows hits the target
This assignment has a value of 10 points. You will have two (2) questions to answer and one (1) attempt to send this assignment. Refer to the calendar in Blackboard for due dates. Your calendar is available under the Tools menu > Calendar. Once you have built the Excel tables, with all the changes in different tables, and answered all the questions you have to send the work (Excel sheets and answered questions) to the professor using the Attach File function in Black Board to attach your document and send it to the professor. To use the Attach File enter the Course Content in Black Board. Select the Assignment Module 5, attach the file and submit. Solve the following problem and compute the probability of the Binomial and Poisson distributions. What is the probability of finding two defects in a Binomial distribution, with a sample size of 30, and probability of 0.2
Answer:
0.0337 = 3.37% probability of finding two defects.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
What is the probability of finding two defects in a Binomial distribution, with a sample size of 30, and probability of 0.2?
This is [tex]P(X = 2)[/tex], with [tex]n = 30[/tex] and [tex]p = 0.2[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 30) = C_{30,2}.(0.2)^{2}.(0.8)^{28} = 0.0337[/tex]
0.0337 = 3.37% probability of finding two defects.
the voltage in a lightbulb is given by the equation V= IR. in this equation V is the voltage, I is the current , and R is the resistance. what is the current in a lightbulb with a voltage of 35.0 V and a resistance of 175
Answer:
a
Step-by-step explanation:
PLESE HELP WITH ANSWER. rewrite the function in the given form
s hard and too long I'm only of class 13
Help and explain too (using elimination to solve systems of equations ) !!!!!
Answer:
x=3 y=5
Step-by-step explanation:
it's simultaneous equations so you first try matching the x or the y on both equations
on the first equation the ys are matching so:
4x+y=17
2x+y=11
2x=6
x=3
now that you have x you substitute it back into the equation to get y
6+y=11
-6 -6
y=5
Answer:
(3,5)
(3,2)
(7,0)
(8,1)
Step-by-step explanation:
1.)
Subtract the two equations
(4x+y)-(2x+y)=17-11
2x=6
x=3
plug this into the first equation
4(3)+y=17
y=5
2.) we need one set of the same variable's coefficents to match (so that when we add/subtract the two equations a variable cancels out). To do this multiply the first equation by 1.5
1.5(3x+2y)=13*1.5
4.5x+3y=19.5
Subtract the second equation
(4.5x+3y)-(2x+3y)=19.5-12
2.5x=7.5
x=3
plug this into the first equation
3(3)+2y=13
2y=4
y=2
3.)
Mulitply the first equation by 3
3(x-2y)=7*3
3x-6y=21
subtract this and the second equation
(3x-6y)-(3x+y)=21-21
-7y=0
y=0
plug this into the first equation
x-2(0)=7
x=7
3.)
add the two equations
(x+5y)+(x-5y)=13+3
2x=16
x=8
plug this into the first equation
8+5y=13
5y=5
y=1
List the angles in order from the smallest to the largest.
Answer:
D. <S, <R, <T
Step-by-step explanation:
Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.
In ∆RST,
The longest side, SR = 22, is opposite to <T
Therefore, <T is the biggest angle.
Medium side, ST = 21, is opposite to <R, therefore,
<R is the medium angle measure
The smallest angle measure <S is opposite to the shortest side, RT.
Angels I'm order form the smallest to largest will be:
<S, <R, <T
) Out of 28 people, 12 adults attended a play. What is the ratio of children to attendees
Answer:
I think the answer is 12:16 because my brother told me
Step-by-step explanation:
I dont know the answer my brother told me this answer. HOPE THIS HELPS
9. What is the value of x if the quadrilateral is a rhombus? 15 5x 4x+3
Kala drove 819 miles in 13 hours.
At the same rate, how long would it take her to drive 441 miles?
Answer:
[tex]{ \tt{ \frac{819}{13} = \frac{441}{h} }} \\ { \tt{h = \frac{(441 \times 13)}{819} }} \\ h = 7 \: hours[/tex]
Graph 9x + 15y = 15.
a, b, c are prime numbers and 5≤a
Answer:
a=5
Step-by-step explanation:
Help please!!
The triangles are similar by:
the SAS similarity theorem.
the ASA similarity theorem.
the AA similarity postulate.
None of the choices are correct.
the SSS similarity theorem.
The length of a rectangle is 12 m and its diagonal is 15 m. find
the breadth and area of the rectangle.
Answer:
108 square metres
Step-by-step explanation:
A=√d square - l square
here
A = area
d= diagonal
l= length
A grocery store buys cereal using the cost function
c(n) = {
2n when n < 100
1.9n when 100
Sn = 500
1.8n when n > 500
where n is
the number of boxes of cereal the grocery store
buys and c(n) is the cost of the cereal. The grocery
store then sells the cereal using the sales function
s(c) = 1.3c. What is the cost of the cereal if the
grocery store buys 250 boxes?
The cost of the cereal if the grocery store buys 250 boxes is $475
Cost functionsFunctions are written in terms of variables. If the cost function that represents the cereal is given as C(n), the equivalent expression if the grocery store buys 250 boxes is 1.9n
Substitute n = 250 into the function to have:
C(250) = 1.9(250)
C(250) = $475
Hence the cost of the cereal if the grocery store buys 250 boxes is $475
Learn more on cost function here: https://brainly.com/question/25109150
#SPJ1
Consignment Sale. Just Between Friends is the leading pop-up consignment sales event franchise in North America. The Des Moines event for Just Between Friends takes place each year at the Iowa State Fairgrounds for one week in the spring and one week in the fall. Families can earn money on gently used baby clothes, baby gear, maternity items, kids' clothes, shoes, toys, and books. Families sign-up as consignors and then price and tag their own items. At the end of the sale, consignors are given a check based on their item sales. Using historical records, the Des Moines event organizers advertise that their consignor check amounts follow a bell-shaped distribution (symmetric and unimodal) with a mean of $480 and a standard deviation of $110. Use the Empirical Rule: What percentage of consignors receive a check for more than $370
Answer:
Just Between Friends
The percentage of consignors who receive a check for more than $370 is:
= 16%.
Step-by-step explanation:
Mean of consignor check, μ = $480
Standard deviation, σ = $110
Value of check received, x > $370
Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:
z = (x-μ)/σ
z= ($370 - $480)/$110
z = -$110/$110
z = -1.00
Percentage of consignors who receive a check for more than $370
= 0.15866
= 0.16
= 16%
Graph Ex+ 3y = 24
a.
b.
c.
d.
Answer:
(b)
Step-by-step explanation:
Given
[tex]8x + 3y = 24[/tex]
Required
The graph
First, make y the subject
[tex]3y = 24 - 8x[/tex]
Divide through by 3
[tex]y = 8 - \frac{8}{3}x[/tex]
Let x = 3
[tex]y = 8 - \frac{8}{3}*3 = 8 - 8 = 0[/tex]
Let x = 6
[tex]y = 8 - \frac{8}{3}*6 = 8 - 16 = -8[/tex]
So, we plot the graph through
[tex](3,0)[/tex] and [tex](6,-8)[/tex]
See attachment for graph
amy shoots a 100 arrows at a target each arrow hits with a probability 0.01 what is the probability that one of her first 5 arrows hit the target
Answer:
0.5759
Step-by-step explanation:
F(x) = x/2*8 what is f(x), when x=10
Answer
13
Step-by-step explanation:
We are essentially being asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.
f(10)=10/2+8=5+8=13
Answer:
f(x) = 40
Step-by-step explanation:
f(x) = x / 2 * 8
x = 10
f(x) = (10 / 2) * 8
= 5 * 8
= 40
Evaluate the expression when c = 3 and x= -5,
-C+5x
Answer:
-28
Step-by-step explanation:
if c = 3 and x = -5 than,
-c + 5x = -3 + 5 * (-5) = -3 + (-25) = - 28
A math instructor claims that college women have more credit card debt than college men. She conducts a random sample of 38 college men and 32 college women, determines their average credit card debt, and obtains the following statistics:
women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026
Test the claim that college women have more credit card debt than college men at the a = .05 level of significance. Assume unequal variances.
Answer:
There is no significant evidence to support the claim that college women have more credit card debt than college men
Step-by-step explanation:
Given :
women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026
H0 : μ1 = μ2
H0 : μ1 > μ2
Assume unequal variance :
The test statistic :
(x1 - x2) / √(s1²/n1) + (s2²/n2)
T= (781 - 435) / √(1489²/32) + (1026²/38)
T = 346 / 311.42740
Test statistic = 1.111
Degree of freedom, df
(s1²/n1+s2²/n2)²÷1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²
The Pvalue :
(s1²/n1+s2²/n2)² = ((1489²/32) + (1026²/38))² = 9406484230.6884765625
1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²:
1/31(1489^2/32)^2 + 1/37(1026^2/38)^2 = 1.755926E8
df = 9406484230.6884765625 / 1.755926E8 = 53.569
df = 54
The Pvalue, from t score ;
Pvalue(1.111, 54) = 0.136
Pvalue > α ; Hence, we fail to reject the null ; There is no significant evidence to support the claim that college women have more credit card debt than college men
On a coordinate plane, a line goes through points (negative 1, 0), (0, 1), and (1, 2). Which table goes with the graph?
Answer:
Table B
Step-by-step explanation:
correct on edge :)
Solve for z
-3z-2/2 <5
Answer:
z> -2
Step-by-step explanation:
STEP 1) Any expression divided by itself equals 1
-3z-1<5
STEP 2) Move the constant to the right-hand side and change its sign
-3z<5+1
STEP 3) Add the numbers
5+1= 6
-3z<6
STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign
z>-2
if log 2=x express 12.5 in terms of x
Answer:
b
Step-by-step explanation:
thbte
Re-write this subtraction as an ADDITION of signed numbers. 7- (-5) =
Now actually compute 7 - (-5) =
Answer: 12
Step-by-step explanation: Whenever you have a minus a negative in a problem, you can change it to plus a positive.
So we can think of 7 - (-5) as 7 + (+5).
Whenever we have two negatives in a row, we can think of those
negatives as being multiplied together and a negative times a negative
will always result in a positive.
So just add 7 + 5 to get 12.
find the length of a rhombus if the lengths of its diagonals are: 5 cm and 12 cm
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length of the rhombus is the length of the long diagonal: 12 cm.
Perhaps you want the length of one side. We recognize the given lengths as the legs of a 5-12-13 right triangle. Since each side is the hypotenuse of a right triangle whose legs are half the diagonals, the side length of the rhombus will be half of 13 cm.
The side lengths of the rhombus are 6.5 cm.
rewrite 1/6 and 2/11 so they have a common denominator then use <, =, or > to order
Answer:
1/6 < 2/11
Step-by-step explanation:
1/6 = 2/12
2/11 >2/12
So that means 1/6 < 2/11
Answer: 1/6 < 2/11
This is the same as saying 11/66 < 12/66
===========================================================
Explanation:
1/6 is the same as 11/66 when multiplying top and bottom by 11.
2/11 is the same as 12/66 when multiplying top and bottom by 6.
The 6 and 11 multipliers are from the original denominators (just swapped).
We can see that 11/66 is smaller than 12/66, simply because 11 < 12, so that means 1/6 is smaller than 2/11
-----------------
Here's one way you could list out the steps
11 < 12
11/66 < 12/66
1/6 < 2/11
------------------
Here's another way to list out the steps. First assume that 1/6 and 2/11 are equal. Cross multiplication then leads to
1/6 = 2/11
1*11 = 6*2
11 = 12
Which is false. But we can fix this by replacing every equal sign with a less than sign
1/6 < 2/11
1*11 < 6*2
11 < 12
---------------------
Yet another way to see which is smaller is to use your calculator or long division to find the decimal form of each value
1/6 = 0.1667 approximately
2/11 = 0.1818 approximately
We see that 0.1667 is smaller than 0.1818, which must mean 1/6 is smaller than 2/11.
If x = 5, what additional information is necessary to show that by SAS?
Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 65 and, in a separate drawing, you must also select the correct single number between 1 and 60. Find the probability of winning the jackpot.
Answer: 1/ 233856 chance changed to 233856 x 2 = 467712
= 1 / 467712 chance as there are 2 drawings
Workings;
1 and 65 = 64
1 and 65 - 1 ball drawn = 63
1 and 60 -1 = 58
1/64 x 1/63 x 1/58 = 233856
1/4032 x 1/58 and to make these the same we 4038/58 = 69.62
then convert properly = 1/4032 x 69.62/4032 4032 x 4032 = 69.62/16257024 then 16257024/69.62 =233510.83
= 233511 chance if rounding before
1/ (233511 x 2) = 1/467022
Then one part is our actual probability
P) = 1/233856
But as they specified a special drawing
you need to repeat this as 64 x 63 x 58 x 2 as the last one cannot be in 1 drawing it has to be in 2nd drawing
233856 x 2 = 467712
= 1 / 467712 chance not rounding down before hand.
Please help! Thank you!
Answer:
hi
Step-by-step explanation:
