Complete question :
A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Construct a confidence interval for the mean jump height of gray kangaroos.
Answer:
(271, 301)
Step-by-step explanation:
Given that:
Mean (x¯) = 286
Margin of Error = 15 inches
The confidence interval :
(Mean - Margin of Error), (mean + margin of error)
(286 - 15), (286 + 15)
(271, 301)
Hence confidence interval equals : (271, 301)
6. A farmer sows a certain crop. It costs $240,000 to buy the seed, prepare the ground, and sow the crop. In one year's time it will cost $93,200 to harvest the crop. If the crop will be worth $350,000, and the interest rate is 7%, what is the net present value (NPV) of this investment?
Answer:
$0
Step-by-step explanation:
Given that:
Preparation and sowing cost = $240,000
Cost of harvest after a year = $93,200
Worth of crop = $350,000
Interest rate (r) = 7% = 0.07
Net present value of Investment :
[(worth - Cost after 1 year) / (1 + r)] - initial investment cost
[(350,000 - 93,200) ÷ (1 + 0.07)] - 240,000
[256,800 / 1.07] - 240,000
$240,000 - $240,000
= $0
Evaluate each value expression for the given valueof x: 20-3x, x=5
Answer:
= 5
Step-by-step explanation:
20 - 3(5)
20 - 15
= 5
Albie's total income is $695.25 in a week
where his sales are $2870. If he earns a
commission of 7.5% of his sales, what is
his retainer? can you tell me how to work it out aswell please
Answer:
Step-by-step explanation:
7.5/100= .075
$580000 x .075 = $43,500 commission
PT2 To my last question!!!! please answer quickly
Answer:
3rd one
Step-by-step explanation:
Brainliest?
Please help with the question below. I will give brainiest.
Answer:
a. y= -1221x+19820
b. For every year the car value decreases $1,221.
c. $11,273
Step-by-step explanation:
a. (y2-y1)/ (x2-x1)
(16157-17378)/(3-2)= -1221
For the y-intercept you would just add 1221 twice to the value of the 2 year old car, get the value of 0 years.
c. -1221(7) +19820 =$11,273
EASY QUICK POINTS
Read the list of properties below.
Two sets of parallel sides
Opposite angles that are congruent
Opposite sides that are congruent
Angles that do not measure 90°
Which polygon would have all of these properties?
rectangle
rhombus
square
trapezoid
the answer is rhombus...
Answer:
rhombus
Step-by-step explanation:
PLSS HELPPPPPPPP HELPP ASP
Answer:
B
Step-by-step explanation:
has a ratio of 6 to 1
Answer:
B is the correct answer
Please help this is due in 30 mins
Answer:
im pretty sure its c or rotation
Step-by-step explanation:
SHOW YOUR WORK
43.01-2.75
Answer:
the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown
Step-by-step explanation:
Pleassssseeee help. I neeed help
Answer:
B.
Step-by-step explanation:
Took the test :}
Divide. Simplify so the quotient is in lowest terms.
1: 1/2 divided by 4
2: 1 3/4 divided by 1/8
please help me lol
1. 1/2 divided by 4 = 1/8 or 8.
2. 1 3/4 divided by 1/8 = 7/32.
how to solve 2x^2-11x+12=0
Answer:
x= 3/2 and 4
Step-by-step explanation:
Use this method to solve;
First get the multiples of 12: -1, -12 -2, -6 -3, -4 (we use negatives, because we need a positive 12, and a negative 11).
Next, set it up like this: (2x - ) (x- ).
Then plug in (2x-3) and (x -4), and use rainbow to double check.
Then take 2x-3=0 and x -4 =0 to get x.
2x-3=0, add 3 to both sides, leaving you with 2x=3, then divide by 2 to get x alone which leaves x= 3/2, could use 1.5 or 1 (1/2) too.
Then do the same with x-4=0, add 4 to both sides leaving x= 4.
Answers are x= 3/2 and 4.
The yield of corn in bushels per acre and the amount of rain in the growing season.
Identify the explanatory variable and the response variable, if possible.
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
2. Bushels per acre is the explanatory variable and amount of rain is the response variable.
3. Yield of corn is the explanatory variable and amount of rain is the response variable.
4. Amount of rain is the explanatory variable and bushels per acre is the response variable.
5. Rain is the explanatory variable and corn is the response variable.
Answer:
1. Amount of rain is the explanatory variable and yield of corn is the response variable.
Step-by-step explanation:
Explanatory Variable is the causal variable, which effects the other variable.
Response Variable is the resultant variable, which is effected by the other variable.
In this case, amount of rain effects the yield of corn (bushels per acre).
So, Amount of rain being causal effecting variable - is Explanatory Variable. Corn yield, being resultantly effected variable - is Response Variable.
How many zeros does the function have?
f(x) = x^3 – 5x^2 – 8x + 48
Answer:
x^(3)+5x^(2)-8x-48=0
Una persona ahora en el banco 1000 pesos, el cual le ofrece un interés fijo de 3%. La función que relaciona el dinero ahorrado que recibirá después de x meses de ahorro
Answer:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Step-by-step explanation:
Dada la siguiente información:
Principal= $1,000
Tasa de interes= 3% anual = (0.03/12)= 0.0025 mensual
Número de periodos= x
Para calcular el interés ganado, hay que usa la formula siguiente:
Interes= [Principal*(1+tasa de interes)^x] - Principal
Por ejemplo, para 6 meses:
Interes= [1,000*(1.0025^6)] - 1,000
Interes= $15.09
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,5) and (7,9).
Answer:
say where we meet ❤️
I need help on this quesion. (Easy)
Answer:
the answer is C
Step-by-step explanation:
just divide 42.75 by 9
PLEASE HELP! THANK YOU!!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]3(x - 2) = 12[/tex]
[tex]x = 6[/tex]
_________________________________
[tex]6(x + 5) = 54[/tex]
[tex]x = 4[/tex]
_________________________________
[tex]3x + 5 = 32[/tex]
[tex]x = 9[/tex]
_________________________________
[tex]5(x + 7) = 45[/tex]
[tex]x = 2[/tex]
_________________________________
[tex]7x + 6 = 41[/tex]
[tex]x = 5[/tex]
_________________________________
[tex]2(x + 7) = 29[/tex]
[tex]x = 7.5[/tex]
_________________________________
[tex]4(x + 3) = 30[/tex]
[tex]x = 4.5[/tex]
_________________________________
[tex]5(x - 4) = 20[/tex]
[tex]x = 8[/tex]
_________________________________
[tex]3x - 10 = 23[/tex]
[tex]x = 11[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Card A: x = 6
Card B: x = 4
Card C: x = 9
Card D: x = 2
Card E: x = 5
Card F: x = [tex]\frac{15}{2}[/tex]
Card G: x = [tex]\frac{9}{2}[/tex]
Card H: x = 8
Card I: x = 11
There you go bud. :')
You owe me for this lol.
not trying to do my work right help
Answer: you are correct. The answer is the first option and if you don't believe me look at my explanation.
Step-by-step explanation: Since a ratio can also be written as a fraction, 3:12 = 3/12. So what you do is simplify 3/12 to get 1/4 which equals 1:4.
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars
Step-by-step explanation:
400*0.85
which is 340
340 cars.
Hope this helps plz hit the crown :D
Need help asap please!
Answer:
Step-by-step explanation:
-2/3x ≥ -x -2
-2/3x ≥ -x -2 +x
Simplify
1/3x ≥ -2
3 · 1/3x ≥ 3(-2)
x ≥ -6
I hope this is correct
plz help :(
1.Your brother and some of his friends, all under 12 years old, went to the movies. They paid $60 for their tickets. What equation could describe the situation?
2.Another family went to the movies. They bought some child tickets and some adult tickets and spent $96 altogether.
What equation could describe the situation?
How would the equation change if a child’s ticket cost $10?
How would the original equation change if the total price spent on the tickets were $156?
Answer:
1. 60=12y
60=5*12 y=5
2. a) 96=16x+12y
b) the 12y would be changed to 10y so, 96=16x+10y
c) 156=16x+12y the number of tickets will change if the total price goes up
Step-by-step explanation:
x= adult tickets
y=child tickets
im not sure but i think is bAnswer:
Step-by-step explanation:
b
b
b
b
bbb
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
b
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years.
Answer:
6930 for Maya and James is 6912
Step-by-step explanation
1600x8%=128+1600=1728x4=6912 1650x5%=82.5 82.5+1650=1732.50 1732.5x4=6930
6930-6912=18
Maya has $18 more dollars then James
Answer:
Step-by-step explanation:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
Pls help i can’t figure this out
Step-by-step explanation:
1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.
Please help I'll give brainliest to right answer
20m + 6m − 17m = 9
What does "M" equal?
Answer:
m is 1
Step-by-step explanation:
ez mathzzzzzzzzzzz
What is the value of a?
In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.
Answer:
m∠R = 69
Step-by-step explanation:
m∠R + m∠S + m∠T = 180 {Angle sum property of triangle}
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x - 11 - 3 + 18 = 180 {Combine like terms}
11x +4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
m∠R = 5x - 11
= 5*16 - 11
= 80 - 11
m∠R = 69
The equation y = 13x represents the rate, in gallons per minute, that Tank A at an aquarium fills with water. The table represents the rate that Tank B fills with water. Determine which tank fills faster.
Answer:
Tank A fills up faster.
Step-by-step explanation:
Tank A is y = 13x
Tank B is y = 11x
Plz mark as Brainliest!
What is the slope of the line through (-7,-8)(−7,−8)
Answer:
the slope would be 0
Step-by-step explanation:
this is because those are the same 2 points
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.