Answer:
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 175
Given that the standard deviation of the Population = 6
Let 'x⁻' be the mean of the random sample
Given that x₁⁻ = 173
[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]
Given that x₂⁻ = 174
[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]
Step(ii):-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(X₁≤X≤X₂) = P(Z₁≤Z≤Z₂)
= P(Z≤Z₂) - P(Z≤Z₂) ( both values 'Z' values are negative)
= 0.5 -A(Z₁) - (0.5 -A(Z₂))
= |A(Z₂) -A(Z₁)|
P(173≤X≤174) = | A(2.58)-A(1.29)|
= 0.4951 - 0.4015 (∵ from normal table)
= 0.0936
Final answer:-
The probability that the mean of this sample of home purchases is between 173 and 174 homes
P(173≤X≤174) = 0.0936
What is the simple interest earned on an $4,350 investment for 5 years at a rate of 2%?
Hey!
A = $4,785.00
I = A - P = $435.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 4350(1 + (0.02 × 5)) = 4785
A = $4,785.00
The total amount accrued, principal plus interest, from simple interest on a principal of $4,350.00 at a rate of 2% per year for 5 years is $4,785.00.
--------------------------------------------------
Hope you have a great day and this helped in some way <33
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
Answer:
x=5/6 and y=8/5
(5/6 , 8/5)
Step-by-step explanation:
You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.
Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)
Here's what that looks like:
(-6x+1y=3)2
-12x+10y=6
So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.
12x+15y=34
-12x+10y=6
If we add the two equations now, x will be canceled out and we can solve for y.
12x+15y=34
+(-12x+10y=6)
___________
0x+25y=40
25y=40
0x=0, so we can get rid of the x. Now, we need to solve for y.
25y=40
y=40/25
You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.
Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)
12x+15(8/5)=34
12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.
12x+24=34
12x=10
x=10/12
x=5/6 (Divide the numerator and denominator by 2.)
You can write your answer as a point, too. (5/6 , 8/5)
The students in a club are selling flowerpots to raise money.Each flowerpot sells for $15.
Part A
Write an expression that represents The total amount of money, in dollars, The students raise from selling flowerpots.
Answer your expression in the box provided. Enter only your expression.Please hurry!
Answer:
y = 15x
Step-by-step explanation:
For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.
Answer:
y = 15x
Step-by-step explanation:
Help will mark brainliest show steps pls
Answer:
at first , you need the sum of both equations . It will be like :
2y= 0 + 2
Y=1
_____
now that you know the value of Y , place it in the one of the equation that you like , forexample i place it in the second equation and find out that the value of x is ( -3/2)
1= 2X+5
-4=2X
X= -2
Hope it helps , good luck ^.^
The scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation of 6. What is the standard score for an exam score of 74?
Answer:
z = 1.5
Step-by-step explanation:
x - mean
standard score = -----------------
6
Substituting 74 for x, 65 for mean, we get:
74 - 65
standard score = ----------------- = 9/6 = 1.5
6
The pertinent z-score (standard score) is 1.5.
Answer:
Solution :-Score = 74 - 65/6
Score = 9/6
Hence
Score is 9/6 or 1.5
[tex] \\ [/tex]
In quadratic functions/equations; roots/solutions/x-intercepts/zeros all represent the same values/points.
True
False
Answer:
True
Step-by-step explanation:
Solutions to quadratic equations are often called
roots / zeros / x- intercepts
need help w this! will give brainliest and thanks to best answer :o) tysm<3
Answer:
A. They will pay more with the new price plan.
B. The new price plan would be cheaper.
Step-by-step explanation:
A. They will pay more with the new price plan.
For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:
$3 + $4 + $4 = $11
For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:
$11 + $2 + $2 = $15
Therefore, you pay more for the new price plan.
B. Using similar logic as part A, the current price plan 7 games would cost:
$3 + [7 x ($4)] = $31 (multiply by 7 since they play 7 games)
For the newprice plan, 7 games would cost:
$11 + [7 x ($2)] = $25 (multiply by 7 since they play 7 games)
Therefore, the new price plan would be cheaper.
Hope this helps :)
Daniel is baking cookies but does not have all of the he needs. The ratio of flour:sugar in his recipe is 3:2cups. If he only has 1.5cups of sugar, how much flour should he use to keep the ratio the same?
Answer:
Step-by-step explanation:
3:2 = 2.5:1.5
half of 2 is 1 so if you had 1.5 it would only be half. For a better explanation, 1 minute is 60 seconds half of a minute is 30 seconds. if you have 45 seconds it would be 3/4 of a second. this is hard for me to explain so if you need more examples just tell me in the comments.
i hope this helps
have a nice day/night
mark brainliest please:)
On a test that has a normal distribution, a score of 32 falls three standard
deviations below the mean, and a score of 82 falls two standard deviations
above the mean. Determine the mean of this test.
Answer:
Mean = 62
Step-by-step explanation:
X = mean ± sd
82 = mean + 2(s.d) - - (1)
32 = mean - 3sd ___(2)
82 = mean + 2sd
82 - 32= 2sd + 3sd
50 = 5sd
sd = 50/5
sd = 10
From (2):
32 = mean - 3sd
32 = mean - 3(10)
32 = mean - 30
32 + 30 = mean
62 = mean
() = 0.50, () = 0.70, ( ∪ ) = 0.85 Are the events, and , independent in this situation? You must provide reasoning for your answer.
Answer:
Independent events
Step-by-step explanation:
Given
[tex]P(A) = 0.50[/tex]
[tex]P(B)= 0.70[/tex]
[tex]P(A\ u\ B) = 0.85[/tex]
Required
Determine the relationship between the events
To do this, we simply calculate P(A n B) using:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
So, we have:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.50 * 0.70[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
[tex]P(A\ n\ B) = 0.50 + 0.70 - 0.85[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
Since: [tex]P(A\ n\ B) = P(A) * P(B)[/tex] [tex]= 0.35[/tex]
Then: the events are independent
Use the GCF and distributive property to write an equivalent expression.
Answer:
2
6
9
Step-by-step explanation:
Because if you pay attention to our teacher he told us how to respond it!
Rectangular prism surface area
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
PLEASE HELP
A company makes two different size ice cream cones The small accounts are 3.5 inches tall and have a diameter of 3 inches The large cones are5.1 inches tall and have a diameter of 4.5 inches about how much greater to the nearest 10th of Cubic inch is the volume The larger cone than the smaller cone 
Answer:
19.545
Step-by-step explanation:
dba algebra 2 module 2 flvs what's on it
Answer:
Uh i dont really get it
Step-by-step explanation:
best of luck though
The circle graph shows how William spends his day on average. If he sticks
to this schedule, how many hours will William spend sleeping over the
course of a week (7 days)? ()
17% 11%
10%
А
A) 75.6 hours
B) 78.2 hours
C) 814 hours
Watching TV
Video Games
Fating
Working
45 %Sleeping
27%
D) 848 hours
Answer:
d
Step-by-step explanation:
i did the math
Which angles are supplementary to 16? Select all that apply.
Answer:
Step-by-step explanation:
15,13,11,9,1,3,5,7
Answer:
13
Step-by-step explanation:
Supplementary angles add up to 180 and angles on a straight line add up to 180 so 13
Which expression is equivalent to (-3)x+(3)(-12)?
Answer:
Step-by-step explanation:
(-3)x + (3)(-12)
= -3x -36
or -3(x + 12)
Answer:
Step-by-step explanation:
(-3)x + 3(-12) = (-3) (x + 12)
(-3) is both the two terms. So we can take (-3) as common
helppppppppppppppppp
Answer:
32.2-32.61Step-by-step explanation:
ASAP What is 94737638 x -9376383889483 this is a real question plz help!!!
Answer:
-8.8829646e+20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
94737638 x -9376383889483
The exact answer can be found by using the calculator that comes with windows (windows 7 if you are using that. Windows 10 for sure.). It can give exact answers up to 18 digits (or that's what I thought. This question is an astonishing 21 digits). The answer to this question is
-888,296,462,670,872,461,154
I don't know if Apple has a calculator that comes with its operating system. I would think so, but I don't know. I use a PC.
help ASAP Ill mark u brainliest
Answer:
30% or none of these
Step-by-step explanation:
since least of the girls voted for biking it would be the least percent amount.
Hope this helped and have a wonderful day! <3 :))
A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?
My question is more on how do I know how to change the percentage, and what to change it to.
Answer:
Therefore, after 12 years the car will value $6,765.35.
Step-by-step explanation:
how many 5-digit passwords can I make out of the English alphabet. lowercase only
Answer:
7,893,600 different combinations
Step-by-step explanation:
Answer:
We have a total.of 26 alphabets in the english language and numbers 0 to 9 will be 10.
Since there are no other limitations, we have to arrange 8 places with the 36 options we have.
It will simply be 36c8.
The answer will be 3,02,60,340.
2.07x2.4 plz help quick i need this
Answer:
2.07x2.4=4.968
Step-by-step explanation:
Answer:
4.968
Step-by-step explanation:
T=21and u =4 what is \sqrt(t+U)
Answer: 5
Step-by-step explanation: 21 + 4 = 25
square root of 25 = 5
Answer and Step-by-step explanation:
T = 21
U = 4
[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]
5 is the answer to the expression.
#teamtrees #PAW (Plant And Water)
Hello I was wondering if someone would help me with this tricky question?
Answer:
The two coordinates should be (6, 3) and (10, 4).
Step-by-step explanation:
rise / run
y-value of the 2nd coordinate = 3 + 1 = 4
x-value of the 2nd coordinate = 6 + 4 = 10
The two coordinates should be (6, 3) and (10, 4).
Joe's lunch at a restaurant cost $18.00 without tax he leaves the server a tip of 14% of the cost of lunch without tax what is the total cost of lunch including tip without tax
Ok. So 14% of 18.00 can be figured out without a calculator. 18.00 / 10 = 1.80 = 10%.
(18.00 / 100) x 4 = 0.72
1.80 + 0.72 = $2.52 is the tip.
$18 + $2.52 = $20.52
⭐ Answered by Foxzy0⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
help wrong answers reported
Answer:
65
Step-by-step explanation:
all triangles angles equal 180°
180-72-43=65
A whale is at the surface of the ocean to breathe. What is the whale's elevation?
PLSSSSSSSS HELP MEHHHHHH 12 pointsssss
Answer:
10
Step-by-step explanation:
Answer:
what do you mean?
Step-by-step explanation:
Choose all the values that are solutions to the inequality x > -4.
A. 2
B. 10
C. -8
D. -6
E. -3