Answer:
c. No, there are more than two possible outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
Only two possible outcomes, success or failure.
In each trial, the probability of a success must be the same.
The number of trials must be fixed.
You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
There are 10 trials, which is a fixed number and respects the binomial distribution. However, there are five possible outcomes(numbered 1 to 5). Since there is more than two possible outcomes, the scenario cannot be modeled using a binomial distribution, and the correct answer is given by option c.
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
Learn more about expression here:
https://brainly.com/question/1859113
#SPJ8
What is -60a^2+642a-420
Answer:
The answer is −6(10a−7)(a−10)
Step-by-step explanation:
1) Factor out the common term 6.
[tex] - 6( {10a}^{2} - 107a + 70)[/tex]
2) Split the second term in 10a² - 107a + 70 into two terms.
[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]
3) Factor out common terms in the first two terms, then in the last two terms.
[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]
4) Factor out the common term 10a - 7.
[tex] - 6( 10a - 7)(a - 10[/tex]
Therefor, the answer is -6 ( 10a - 7) (a - 10).
In a hardware store I bought 5 screws costing
20 ¢ each and 3 light bulbs costing $3.99 each
If I paid with two $10.00 notes, how much
change did I receive?
Answer:
7.02
Step-by-step explanation:
20 ¢ x 5 = 1.00
3 x 3.99 = 11.97
11.97 + 1.00 = 12.97
20.00 - 12.97 = 7.02
choose the correct equation
Answer:
y = -3x - 10
Step-by-step explanation:
Equation to represent the given table can be written in the slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):
Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1
Slope (m) = -3
b = y-intercept = the value of y when x is 0 = -10
To write the equation, substitute m = -3 and b = -10 into y = mx + b.
Thus:
y = -3x + (-10)
y = -3x - 10
Which
Charles factors the expression 9 x + gx using a factor of 5 x. He writes the factored expression as 3 «(4x+1).
best describes the accuracy of Charles's solution?
His solution is accurate,
His solution is inaccurate. The factor does not divide evenly into both terms.
O His solution is inaccurate. The factoring of g xy using the given GCF is incorrect.
His solution is inaccurate. The factoring of 3 using the given GCF is incorrect.
Step-by-step explanation:
Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.
i hope you understand
For the following right triangle, find the side length x.
I need help on how to do this
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.
Any parallel line will do.
__
b) There is one solution when the graphs intersect in exactly one point.
Any line that crosses the one shown will do.
__
c) There are infinite solutions when the graphs describe the same curve.
A line overlapping the one shown is the one you want.
If f(x)=3x-1 and g(x)=x2+2 what is f[g(x)]
Answer:
Value of f[g(x)] = 3x² + 5
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = x² + 2
Find:
Value of f[g(x)]
Computation:
f(x) = 3x - 1
g(x) = x² + 2
So,
f[g(x)] = 3(x² + 2) - 1
f[g(x)] = 3x² + 6 - 1
Value of f[g(x)] = 3x² + 5
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
Option B
Step-by-step explanation:
Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides
Area of the triangular sides = 2(Area of the triangular base)
= [tex]2[\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= 10 × 12
= 120 ft²
Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)
= (10 + 13 + 13)(15)
= 36 × 15
= 540 ft²
Surface area of the prism = 120 + 540
= 660 square feet
Option B will be the answer.
please help!!!!! Its timed !!!!! Ill give out most brainly and extra points !!!
write each answer in simplest form
6% of 75
Please help I don’t gat this
Answer:
30 yards
Step-by-step explanation:
the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30
Please help now ASAP!!!!
Answer:
Step-by-step explanation:
I don't think u can tell from that because u need the length of each movie
O Fabiola's special seasoning mix has three ingredients. The recipe uses 5 parts
thyme, 3 parts parsley, and 1 part green onion. If she is making 45 tbsp of the
mix, how many tbsp of parsley does she need?
Answer:
i think that will be 27 because thats 3/5 of the total
Step-by-step explanation:
tell me if i got it right or wrong no hate
Angela opened a bank account with $0.50. Later in the week she deposited money and $24 in her account. How much money did she deposit?
Answer:
24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50
Which data set COULD NOT be represented by the box plot shown?
Answer:
B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}
Step-by-step explanation:
Maximum = 15
Minimum = 4
so, the values of the data set must lies between [4,15]
Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.
Answer:
she should set up a budget on how much she makes
Step-by-step explanation:
Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are
xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain
xÌ… 2 = 15 milligrams /1000cycles
and
s2= 8 milligrams / 1000cycles
Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.
Step-by-step explanation:
Due to the time it took to solve this question, I had little time to type the answers fully
The answers are contained fully in the attachment I have uploaded.
A. H0: u1 = u2
H1: u1 not equal to u2
The t statistics was solved to be 3.03
The degree of freedom was solved to be 26
Given this information, this is a 3 tailed test, critical value at 5% = +-2.056
T stat > critical value
We therefore reject the null hypothesis at 5% and conclude they have different mean wear
The p value is calculated using excel and the result is 0.00544
We reject null at 5% since p value is less than 0.05
B. H0: u1 = u2
H1: u1>u2
Alpha = 0.05
Following a,
Test stat = 3.03
Df = 26
Critical value for 1 tailed test = 1.706
Test stat > 1.706
We reject H0 and conclude company 1 has higher mean wear.
We find p value for a right tailed distribution using excel
Tdist(3.03,26,1)
= 0.002722
We reject h0
C. Confidence interval
1.610 < u < 8.390
answer all
(make sure to show work
6th grade work
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answer:
Step-by-step explanation:
30
Please help me with this :)
[tex]hope \: it \: helps[/tex]
Plz help me thanks. :) mm
Answer:
A. 72×9=1/8
Step-by-step explanation:
the other two are decimals so it is A
Hope this helps!!
find the slope
!!!!!please help QUICK!!!!
Answer:
3/4
Step-by-step explanation:
We can find the slope using two points
( 0,-5) and ( 4,-2)
The slope is given by
m = ( y2-y1)/(x2-x1)
= ( -2- -5)/( 4-0)
= (-2+5)/(4-0)
=3/4
Geometry Need Help. I will give brainliest
Answer:
1 or 0.5
Step-by-step explanation:
Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}
Answer:
option A is your answer okk
6.39 ÷ 0.09 ≅ _____
No Downloads or Files
I Need An Answer please
71
that's all there is to it
Answer: 71
Step-by-step explanation: 6.39 /0.09
71
Is 60.560 an irrational number or rational?
Answer: ratinal?
Step-by-step explanation:
Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }
Answer:
domain:{10,28,42,52}
range:{-10,6,10}
Step-by-step explanation:
Hello There!
If you didn´t know the domain is the set of x values
the x values in the given relation are
10,28,42,10 and 52
so the domain is {10,28,42,52}
The range is the set of y values
the y values in the given relations are
6,-10,6,10,10
so the range is {-10,6,10}