This question is incomplete, the complete question is;
Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of $280,000, with a standard deviation of $10,000. Under the assumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.
Answer:
At 95%, confidence interval is ( 275026.7, 284973.3 )
Hence;
Lower limit = 275026.7
Upper limit = 284973.3
Step-by-step explanation:
Given that;
mean x = $280,000
standard deviation σ = $10,000
sample size n = 18
degree of freedom df = n - 1 = 18 - 1 = 17
∝ = 1 - 95% = 1 - 0.95 = 0.05
so
Critical t value = tinv( 0.05, 17 ) = 2.11
now, at 95% confidence interval for mean will be;
⇒ x ± [ Critical t value × ( σ/√n) ]
so we substitute
⇒ 280,000 ± [ 2.11 × ( 10000/√18) ]
⇒ 280,000 ± [ 2.11 × 2357.0226 ]
⇒ 280,000 ± 4973.3
⇒ 280000 - 4973.3, 280000 + 4973.3
At 95%, confidence interval is ( 275026.7, 284973.3 )
Hence;
Lower limit = 275026.7
Upper limit = 284973.3
Someone help! James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
1. When x = 2, both expressions have a value of 18.
2. The expressions are only equivalent for x = 4 and x = 6.
3. The expressions are only equivalent when evaluated with even values.
4. The expressions have equivalent values for any value of x.
5. The expressions should have been evaluated with one odd value and one even value.
6. When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7. The expressions have equivalent values if x = 8.
Answer:
3, 5, and 6
Step-by-step explanation:
Which of the following values of f are solutions to the inequality below?
Select all that apply.
f≥ -5
Answer:
-4
Step-by-step explanation:
Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.
Answer:
[tex]12x + 24 = 2(6x + 12)[/tex]
[tex]12x + 24 = 3(4x + 8)[/tex]
[tex]12x + 24 = 4(3x + 6)[/tex]
[tex]12x + 24 = 6(2x + 4)[/tex]
[tex]12x + 24 = 12(x + 2)[/tex]
Step-by-step explanation:
Given
[tex]12x + 24[/tex]
Required
Equivalent expressions
No option were given; So, I will list out some possible equivalent expressions.
Using distributive property:
[tex]AB + AC = A*(B + C)[/tex]
So, we have:
[tex]12x + 24 = 2*6x + 2 * 12[/tex]
[tex]12x + 24 = 2(6x + 12)[/tex] ----- (1)
Another:
[tex]12x + 24 = 3*4x + 3 * 8[/tex]
[tex]12x + 24 = 3(4x + 8)[/tex]
Another:
[tex]12x + 24 = 4*3x + 4*6[/tex]
[tex]12x + 24 = 4(3x + 6)[/tex]
Another:
[tex]12x + 24 = 6*2x + 6*4[/tex]
[tex]12x + 24 = 6(2x + 4)[/tex]
Another:
[tex]12x + 24 = 12*x + 12*2[/tex]
[tex]12x + 24 = 12(x + 2)[/tex]
Simplify the expression for the function h(x)=(x^7/x^3)^2
a.) h(x)= x^5
b.) H(x)= x^8
c.) H(x)=x^40
d.) h(x)= x^16
Mario spends$$80 to produce some pineapples. He is able to sell each one for$$7.
If p represents the number of pineapples he must sell to make a profit, write an inequality and solve for p. Do not round your answer.
35 points
someone pls help and show ur work
Answer:
15inx3.3
=
to my dad lol
https://youtu.be/WYNfQabLpuk
Sarah had a sheet of paper that was 3 inches long and 7 inches wide. What is the perimeter of the paper
Answer: 20
Step-by-step explanation:
(3+7)*2 = 20
Answer:
20 square inches
Step-by-step explanation:
Anthony and six friends went out for steaks and salad. The total cost of the
salad was $42. If each person paid $17, what was the total cost of the steaks?
Answer:
$77
Step-by-step explanation:
7 people, each person paid 17, 17x7 = 119, salad was 42, 119 - 42 = 77
Plz help plz help pl help
[tex] \large{\underline{\textsf{\textbf{\purple{ Given : }}}}} [/tex]
• Length = 9 [tex] \sf \dfrac{1}{2} [/tex] yd = [tex] \sf \dfrac{19}{2} [/tex] yd
• Breadth = 6 yd
• Height = 4 [tex] \sf \dfrac{2}{3} [/tex] yd = [tex] \sf \dfrac{14}{3} [/tex] yd
[tex] \large{\underline{\textsf{\textbf{\purple{ To \: calculate : }}}}} [/tex]
• Volume
[tex] \large{\underline{\textsf{\textbf{\purple{ Calculation : }}}}} [/tex]
As we know that,
[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]
So,
→ Volume = [tex] \sf \dfrac{19}{2} [/tex] yd × 6 yd × [tex] \sf \dfrac{14}{3} [/tex] yd
→ Volume = ( [tex] \sf \dfrac{19}{2} [/tex] × 2 × 14 ) [tex] \sf yd^3 [/tex]
→ Volume = 19 × 14 [tex] \sf yd^3 [/tex]
→ Volume = 266 [tex] \sf yd^3 [/tex]So, option (i) is correct.
please HELPppppppppppppppp
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches. After she's done, she decides to make two blocks by cutting through the block on the red line.
She still wants each block to be covered with gold glitter.
1. What is the shape of each cut surface? What are its dimensions and what is the total area of the cut surfaces she still needs to paint?
2. what is the area of each cut surface?
Answer: 160 square inches
if the block is cut after it’s been painted, two sides with the same measurements don’t have glitter on them. you find the area of the one rectangle and multiply it by 2 as follows:
A = length • width
A = 10 • 8 = 80
area that needs to be covered = 80 • 2 = 160 square inches
Step-by-step explanation: I just knowww
please help me, i will give u brainliest if it is CORRECT
Answer: 25%
Step-by-step explanation:
STEP ONE: Find the total possible ways to roll the dice.
- Each roll has 6 possible numbers
- Each roll is independent
6×6=36 possible combination
STEP TWO: Find the possible ways to roll the dice in odd-odd
- Each roll has 3 odd number (1, 3, 5)
- Each roll is independent
3×3=9 possible combination
STEP THREE: Put it into a fraction
Possibility of odd-odd=(possible odd-odd combination)/(total combination)×100%= 9/36 × 100%=0.25 × 100%= 25%
Hope this helps!! :)
Please let me know if you have any questions
help please i am confused
Answer:
-50
Step-by-step explanation:
Jose and Francis throw a ball in the air and create function models to show the trajectory. The variable x represents time in seconds after the ball was thrown and f(x) represents the height in meters. The path of Jose's ball is represented by the function, f(x)=−4.9x2+25.48x+1.8. The path of Francis's ball is represented by the table. Select the answers from the drop-down menus to complete the statements. Choose... ball is thrown from a greater height off the ground. Choose... the ball reaches a greater maximum height. x f(x) 0 1.6 0.7 18.047 1.4 30.412 2.1 37.615 2.8 40.016 3.5 37.615 4.2 30.412 4.9 18.047 5.6 1.6
Answer:
1.Jose's
2.
Francis's
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sarah wants to make a quilt that is 6 feet wide and 8 feet long. she is patching together 4 inch sided squares of fabric to make the quilt. how many patches of fabric will she need?
Answer: 2 patches of fabric needed
Step-by-step explanation:
Given
Quilt: 6 ft × 8 ft
Fabric: 4 ft × 4 ft
Solve
Area of quilt=4×8=32 ft²
Area of fabric=4×4=16 ft²
To find the number of fabric needed, we need to divide the area of fabric from the total area of the quilt.
32/16=2
Hope this helps!! :)
Please let me know if you have any questions
Dan made 8 out of 10 free throws. What is the experimental probability that he will not make his next free throw? What is the theoretical probability of not making a free throw?
Answer:
8/10--> 2/10 20 % scnahce of not makin git
Step-by-step explanation:
Suppose a white dwarf star has a radius of approximately 9.0415 x 10 km. Use the formula 4 to find the approximate surface area of the star.
Please show work and not just a rando scam link ._.
Answer:
I like doods
Step-by-step explanation:
Pp + pp
A 51 foot ladder is set against the side of a house so that it reaches up 45 feet. If Nora
grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 39 ft.) Round to the
nearest tenth of a foot.
Answer:
a=41.2
Step-by-step explanation:
a^2 + (30)^2. =51^2
a^2+900=2601
-900. -900
a^2= +\- square root 1701
a=41.243181
a=41.2
Describe the cross section
Which of the following statements about rotations are true? Select all that apply.
a. The shape of the figure does not change.
b. The position of the figure does not change.
c. The size of the figure does not change.
d. The orientation of the figure does not change.
e. The coordinates of the figure do not change.
Answer:
hmmm I guess it has to be e. if I 'm wrong
Kim and Steven went to dinner. Kim had a coupon for a 25% discount off the price of all meals, not including tax and tip, if the original price of meals was $75.00, what is the discounted price, not including tax and tip?
Answer:
$93.75
Step-by-step explanation:
0.25 x $75.00=$18.75
$75.00 + $18.75 = $93.75
A television at Walmart cost $1,538 and $1,923 at Target. With taxes, what would you actually pay at each store. Walmart sales tax is 7% and Target’s sale tax is 9%.
Answer:
walmart:1645.66 target:2096.07
Step-by-step explanation:
walmart:1538/100 × 107= 1645.66
target:1923/100 × 109= 2096.07
i think this is the ans but im not very sure
If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?
Options
3y + 3
3y + 9
4y + 7
4y + 16
Answer:
Length of DF = 3y + 9
Step-by-step explanation:
Given:
ΔABC is similar to ΔDEF
Line EF = 6y
Find:
Length of DF
Computation:
Given that ΔABC is similar to ΔDEF
So,
Line BC similar to Line EF
Line BA similar to Line ED
Line AC similar to Line DF
Common factor = EF/BC
Common factor = 6y/2y
Common factor = 3
So,
Line AC similar to Line DF
So,
DF = 3[AC]
Length of DF = 3[y+3]
Length of DF = 3y + 9
Evaluate (1002 - 187)
Given that 3 x 91+x=27*. find x
Answer:
3×91+×=27
273+×=27
×=27-273
×= -246
Answer: x=−246
→ Hope this help!←
15/20 = ? (Fractions)
After solved please type how u got it for a test thank u!
15 / 20 = 3 × 5 / 4 × 5
simplify 5 from The Denominator and The numerator
= 3 / 4
Water is filling a conical tank at a rate of 3 pi cubic feet per second. However, the water level is only increasing at a rate of 1/2 pi feet per second. There must be a leak in the tankout the rate water is out of the tank when the water level is 5 feet from the bottom of the tank. The tank is 10 feet in height and has a radius at the top of 2 feet.
Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16
plz help no links only answers plz
Answer:
the sum of all sides = 360
therefore,100+100=200
so 360-200=160
That is what I need help with.
Also I hope you have a good day :)
If a side of an ice cube measures 1 inches, what is the total volume of 9 such ice cubes?
Answer:60
Step-by-step explanation:
