Answer: A, f(x) = 500(1.057)^x
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat twice, what is the probability of choosing a male albino rat and then either a female albino rat or a male spotted rat
Answer: [tex]\dfrac{76}{89}[/tex]
Step-by-step explanation:
The pool of rats from which the researcher is drawing participants is composed of the following:
23 male albino rats
21 male spotted rats
35 female albino rats
11 female spotted rats
Total rats = 23+21+35+11 =90
[tex]P(male\ albino)=\dfrac{23}{90}[/tex]
After drawing first rat , total rats remained = 89
[tex]P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}[/tex]
The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = [tex]\dfrac{76}{89}[/tex]
help please this is due by 11:45 also its 6th grade math btw
Answer:
578[tex]m^{2}[/tex]
Step-by-step explanation:
Answer: 578 m2
Step-by-step explanation: Hope this helps!! <3
PLS HELP ASAP!tysm if u help me!<3
Answer:
Step-by-step explanation:
It is a matter of just substituting the values into the given equation.
4m^2-2n+5
If m=5 and n=9 then it becomes
4(5^2)-2(9)+5
4(25)-18+5
100-18+5
87
Find the exact Value
Sin 75 - sin 15° using
sum-to product formula
Answer:
Prefer the attachment for ur ans.
7. What kind of triangle is PQR?
8p(-3p^2+6p-2) hellpppppppp
-16p was my answer after simplifying it
Answer:
120p - 16p = 104p
Step-by-step explanation:
-3p x -3p = 9p + 6p = 15p x 8p = 120p
8p x -2 = -16p
120p - 16p = 104p
Please wait for more responses if needed thank you.
Emily completely fills a container with 6 cubes. Each cube has an edge length of
3 centimeters. The container is in the shape of a right rectangular prism. What is the
volume of the container in cubic centimeters?
A container is in the shape of a right rectangular prism. Hayden wants to put a stick in the container.
What is the length in inches of the longest stick that will fit in the container
Answer:
13 in.
Step-by-step explanation:
First figure out the length of the diagonal of the base.
3²+4²=c²
9+16=c²
25=c²
√25=c
c=5
Now we can figure out the stick using the same method.
5²=12²=c²
25+144=c²
169=c²
√169=c
c=13
1.which side of AFED does AB in AABC correspond to?
2.which side in AFED does CB in AABC correspond to?
3.which side in AFED does AC in AABC correspond to?
4.what scale factor was used in the dilation of AABC to AFED?explain how you found the scale factor.
5.what is the length of side DE?show how you found this length.
6.use the pythagorean theorem to find the length of side FD.show your work
Rotate one of them so the right angle is in the same orientation as the other one.
1. AB = DE
2. CB = FE
3. AC = DF
4. Compare the length of two known sides: cb and EF
CB = 3 and EF = 8
8/3 = 2 2/3 scale factor
5. Ab is side de. Multiply the length of ab by the scale factor:
4 x 2 2/3 = 10 2/3
6. FD = sqrt ( 10 2/3^2 + 8^2)
FD = 13 1/3
Hi I need help plzzzzzzz
A car can travel 120 miles on 4 gallons of gasoline. How much gasoline will it need to go 510 miles?
Answer:
17
Step-by-step explanation:
Which function is equivalent to g(x) = x2 + 15x – 54?
g(x) = (x + 9)(x – 6)
g(x) = (x – 9)(x + 6)
g(x) = (x – 18)(x + 3)
g(x) = (x + 18)(x – 3)
Answer:
g(x)=(x+18)+(x-3)
Step-by-step explanation:
The function i.e. g(x)=(x+18)(x-3) equivalent to the given equation.
Given that,
The equation is [tex]g(x) = x^2 + 15x - 54[/tex].We need to solve it.
Based on the above information, the calculation is as follows:
[tex]g(x) = x^2 + 15x - 54[/tex]
[tex]x^2 + 18x - 3x - 64\\\\x (x + 18) - 3(x + 18)\\\\(x +18 ) (x - 3)[/tex]
Learn more: brainly.com/question/17429689
Please help What is a= and b=?
divide 405 in the ratio 4:11
Step-by-step explanation:
Answer is in the photo
Hope it helllps
Good luck
The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.
Let the common ratio between the numbers is x. Form an equation and solve for x.
4x + 11x = 405
15x = 405
x = 405 / 15
x = 27
The numbers are,
4x = ( 4 x 27 ) = 108
11x = ( 11 x 27 ) = 297
Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
An airplane is flying diagonally across the state of Colorado. This state and its
dimensions are represented by the rectangle on the map shown.
280 mi
385 mi
Based on the measurements shown in the map, which measurement is closest to the
distance in miles the airplane will fly along the diagonal?
A
665.0 mi
B
25.8 mi
с
36.4 mi
D
476.1 mi
PLZ HELP ME ON THE QUESTION!!
If 4(x - 2) − 2(x + 5) = 8, what is the value of x?
Answer:
x=13
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
13 - 2 = 11 x 4 = 44
13 + 5 = 18 x 2 = 36
44 - 36 = 8
I hope this helps you! :D
For f(x) = 5x+1 find f(-4)
0 1
0-21
21
0 -19
Answer:
21 you is smart 8th
Step-by-step explanation:
smart smart 99
Convert the equation y= 2x2 + 2x - 4 into intercept form.
Help please?..........
Answer:
The answer is b.
what is the slope of a line passing through (2,-3) and (5,1)?
Answer:
The slope of the line is ⁸/₅, or 1.6
Step-by-step explanation:
Slope is equal to Δy/Δx, so we have:
(1 - (-3)) / (5 / 2)
= 4 / 2.5
= 8 / 5, or 1.6
Help me because I need to get a 10/10
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
How to write 720,981 in word form!
Answer:
seven hundred and twenty thousand, nine hundred and eighty-one
Step-by-step explanation:
Answer:
720,981
seven hundred and twenty thousand ,nine hundred and eighty one
Lucas is having the Sunday blues and hoping for a snow day this week. He measures that there are currently 10
inches of snow on the ground.
The forecast for Monday is a 50% chance of 2.5 inches of snow. If it doesn't snow, 1.5 inches of snow will melt.
The forecast for Tueſday is a 50% chance of 1.5 inches of snow. If it doesn't snow, 0.5 inches of snow will melt.
The weather on Monday and Tuesday are independent events.
If X is a random variable that represents the amount of snow on the ground after Tuesday, drag the bars to
graph the probability distribution for all possible values of X.
Answer:
All probablities are 0.25
Step-by-step explanation:
Got it right on Khan
From the given question, we can see that there is currently ten inches of snow.
With this in mind, we can see that the weather forecast for Monday is 50% probability for 2.5 inches of snow which is 1/2 for 2.5 inches of snow.
Furthermore, if it does not snow, then there would be 2.5-1.5= 1.0 inches of snow
Additionally, the weather forecast for Tuesday is 50% probability for 1.5 inches of snow which is 1/2 for 2.5 inches of snow.
Furthermore, if it does not snow, then there would be 1.5-0.5= 1.0 inches of snow
Given that the weather on Monday and Tuesday are independent events, then all the probabilities would be 1/2:1 which would be 0.5 inches of snow.
With this in mind, all the probabilities for chances of snow is 0.25
Therefore, we can see that all the possible values of x would be 0.25
Read more about probability here:
https://brainly.com/question/24756209
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
Find the slope and reduce.
P=(5, 7) Q=(-2, -3)
Answer:
10/7
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
You can’t reduce so the final answer is 10/7
Can anyone help me I need this help.
Answer:
sorry we cant see the work I would help if I see the pitcher plz
Step-by-step explanation:
ver resposta das frações 1/5÷3/7
Answer:
7/15
Step-by-step explanation:
[tex]\frac{1}{5} / \frac{3}{7}\\\\\frac{1}{5} *\frac{7}{3} \\\\\frac{1*7}{5*3}=\boxed{\frac{7}{15}}[/tex]
Hope this helps.
I need help, with this
At one point in a winter sky in North America, the distance between the Earth and
Jupiter was 391 million miles and the distance between Earth and Mars was 160
million miles. The included angle between these two distances was 118°, At that
particular time, what was the approximate distance between Mars and Jupiter?
Answer:
2.154
Step-by-step explanation:
.2453