Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that [tex]\mu = 328, \sigma = 82[/tex]
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0 = \frac{X - 328}{82}[/tex]
[tex]X - 328 = 0*82[/tex]
[tex]X = 328[/tex]
The cut-off dollar amount is $328.
.......,,...............
Answer:
[tex]\boxed{C. 32}[/tex]
Step-by-step explanation:
Hello There!
If you didn't know the exterior angle of a triangle is equal to the opposite interior angles
so
100 = 68 + x
subtract 68
100-68=32
68-68 cancels out
we're left with
x = 32
PLEASE HELP! YOU GET 30 POINTS IF YOU HELP!!
Which inequality is the solution to 20 + 2 < x/3 - 8
A) x > 10
B) x > 42
C) x > 90
D) x > 114
NO LINKS ANSWER PLSSS!!!
Answer:
C
Step-by-step explanation:
Answer:\A) x > 10
Step-by-step explanation:
Hope this helps!!
]FIRST PERSON THAT ANSWERS CORRECTLY WILL GET BRAINLIST AND 80 POINTS!!!!
write an expression that is equivalent to 8 using each of the following numbers and symbols once in the equation: 7, 7, 7, 2, (the 2 is an exponent) +, (), and, ÷
Answer:
if u carry the 7 by7 by 7 by 2 with devizon
Write the quadratic equation in standard form.
- 4(x - x²) = 8
Determine if the quadratic function
Answer:
x² - x - 2 = 0
Step-by-step explanation:
Given:
- 4(x - x²) = 8
Find:
Standards form
Computation:
- 4(x - x²) = 8
(x - x²) = -2
x - x² = -2
x² - x - 2 = 0
If y varies directly as x, and x=9 when y=15, find y when x=33
Answer:
If y varies directly as x, and x = 9 when y = 15, find y when
x = 33
Step-by-step explanation:
The slope of the line shown below is 1/2
Someone Please Help Me
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2
Explanation:
Remember Rise/Run
1/2
So if they went "Run" 4 units
then the equivalent to 1/2 is 2/4
Therefore the value of a is 2!
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the population standard deviation to complete the exam was 10.4 minutes. The 95% confidence interval around this sample mean is ________. Group of answer choices (48.9, 52.5) (49.8, 51.6) (47.3, 54.1) (45.4, 56.0)
Answer:
(47.3, 54.1)
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{10.4}{\sqrt{35}} = 3.4[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).
Whitus v. Georgia In the classic legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected. Is the result of 7 m
Answer:
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This 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.
Jury of 90 people:
This means that [tex]n = 90[/tex]
27% were minorities.
This means that [tex]p = 0.27[/tex]
Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.
This is:
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]
[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]
[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]
[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]
[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]
[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]
[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]
[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]
So
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
GH has endpoints at -7 and 9 on a number line
Answer:16
Step-by-step explanation:
well if your asking the space from one athinther there it is
I NEED HELP PLEASE SHOW STEP BY STEP, I NEED THIS ASAP, WILL MARK BRAINLEST TO BEST ANSWER
Answer:
first, dilate triangle ABC with respect to the origin by scale factor of 2.
then rotate it 90 degrees counterclockwise about the origin
Step-by-step explanation:
help please!!!
given that a^b=x, what is a^b+2?
thanks!! <33
Answer:
xa^2
Step-by-step explanation:
I thought about it for a bit and came up with this:
if you expand a^(b+2) it becomes a^b * a^2
so replace a^b with x.
xa^2
Example 4:
If sin18° = t determine the following in term of t
(a) cos189 (b) sin36° (c) tan198°
Answer:
sorry but i need the points
Step-by-step explanation:
If you know how to do this please help me.
Answer:
Undefined or no values (assuming no negative zero)
Step-by-step explanation:
The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.
If you can drive 340 miles in 5 hours, what is the unit rate? *
(2 Points)
Enter your answer
Solve the equation In (x-4)=1
Answer:
The answer is x = 5
Step-by-step explanation:
1) Remove parentheses.
[tex]x - 4 - 1[/tex]
2) Add 4 to both sides.
[tex]x = 1 + 4[/tex]
3) Simplify 1 + 4 to 5.
[tex]x = 5[/tex]
Therefor, the answer is x = 5.
Answer:
X = 5
Step-by-step explanation:
This is an example of a basic algebraic equation! The explanation is below
[tex](x-4)=1\\x-4=1\\x-4+4=1+4\\x=5[/tex]
Above, we simply removed the parenthesis, added four to both sides in order to cancel out "-4", and ended up with 5 = x. We know we are correct because 5 minus 4, really does equal one!
#SpreadTheLove
Simplify:
4g + (4- 7r) 6g
Answer:
14g x (2-3r)
Step-by-step explanation:
Simplify.
1/3
(-512)
Answer:
-170.6666667
Step-by-step explanation:
hope this helps
If the volume of a hemisphere is 92160 pie cubic cm then find
its radius.
Answer:
radius = 51.70 cm
Step-by-step explanation:
Volume = (2/3) π r³
Volume = 92160 π
Radius = ?
Using the above formula
V = (2/3) π r³
r³ = v/((2/3) π)
r³ = ((92160 π) x 3) / (2 x π)
r³ = 276480/2 because (π/π) = 1
r³ = 138240
Taking cube root on both sides
r = 51.70 cm
(-8x^4y^2)^2*2x^2y^6 divided by32x^8y^3
Answer:
The answer is 4x^2y^4y^3 simplified to 4x^2y^7
Step-by-step explanation:
yo sorry xDDDDD ok dis real 1
Answer:
96 dozen (or/aka) 1152 cupcakes
Step-by-step explanation:
I hope this is right, if not I'm very sorry just bad at math.
What is the image of the point (2,8) after a rotation of 270° counterclockwise about
the origin?
Answer:
(8,-2)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise. Rotate on a graph.
1
Five people visited a local restaurant to get some lunch. A bottle of apple
juice costs 3 dollars and a bag of chips cost 2 dollars. If all five people
ordered a sandwich, a bottle of apple juice, and a bag of chips, write a
numerical expression to show the amount of money the friends spent for
this order. Choose ALL that apply. *
Answer:
y = 5x
y = amount of money all the friends spent.
x = cost of burgers, a bottle of apple juice, and a bag of chips all together
Step-by-step explanation:
Ion know which all apply but okay?
please help
wahat is the slope of the line !?!?
find the slope
!!HELP QUICKLY PLEASE!!
The relationship between the height of a tree and the time snice the tree was planted?
Answer:
Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.
given triangle ABC if angleA=25degrees, angle B=75degrees and a=14 what is the length of side b to the nearest whole number
9514 1404 393
Answer:
b = 32
Step-by-step explanation:
The law of sines tells you ...
b = a·sin(B)/sin(A)
b = 14·sin(75°)/sin(25°) ≈ 31.998
b ≈ 32 . . . . units
the top fully says solve the following system of equations. please help!!
Answer:
x = - 4, y = - 1
Step-by-step explanation:
Given the 2 equations
3x + 7y = - 19 → (1)
7x - 4y = - 24 → (2)
Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term
12x + 28y = - 76 → (3)
49x - 28y = - 168 → (4)
Add (3) and (4) term by term to eliminate x
61x + 0 = - 244
61x = - 244 ( divide both sides by 61 )
x = - 4
Substitute x = - 4 into either of the 2 equations and solve for y
Substituting into (1)
3(- 4) + 7y = - 19
- 12 + 7y = - 19 ( add 12 to both sides )
7y = - 7 ( divide both sides by 7 )
y = - 1
A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.
9514 1404 393
Answer:
158,000
Step-by-step explanation:
Using the given square feet for x in the equation, we have ...
y = 0.071×1483 +52.48 = 157.773
We presume this is supposed to represent the estimated value of the house in thousands.
The fair price is estimated to be 158,000.
If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?
A.
40 cubic in
B.
168 cubic in
C.
84 cubic in
D.
144 cubic in
hmm, how many cubes are there?
length times width times height
we have 6 cubes long, 6 wide and 6 tall
6*6*6=216 cubes
each is 1 cubic feet
216 times 1=216
216 cubic feet
A is answer
Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?
Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.