Answer:
Correlation Coefficient
Step-by-step explanation:
The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 46,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had all fallen off, and they wound up tagging a total of 55,200 frogs.a) Find an exponential model for the frog population.b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class?
Answer:
Step-by-step explanation:
Part a
Exponential growth model for the frog population is given by
[tex]P=P_{0}b^{t}\texttt{ \ where} \ P_{0}=Population \ at \ t=0 \ and \ b=Base[/tex]
The population of frog at t=0 (2 years ago) is given as 46000 which implies
[tex]P_{0}=46000[/tex]
The population in the current year is given as 55200 which implies
At,
t=2 years, P=55200
Therefore, substitute the above values to calculate the value of b
[tex]55200=46000b^{2} => b^2=\frac{55200}{46000}=1.2[/tex]
[tex]b=\sqrt{1.2}=1.095445[/tex]
Therefore, the model equation becomes
[tex]P=46000(1.095445)^{t}[/tex]
Part b
Since all the tags for this year have fallen off which implies no of tags for the next year can be calculated by calculating the population at t=3
[tex]P=46000(1.095445)^{3}\\\\=46000\times 1.3145\\\\=60467[/tex]
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
15%, 25% and 70%final solution:
52 l of 45%This includes 0.45*52l= 23.4 l acid
Let's assume:
amount of 15% solution= xamount of 25% solution= yamount of 70% solution= zand we have z=2yso there are 2 equation:
x+y+z=520.15x+0.25y+0.7z=23.4or
x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y0.15x+0.25y+1.4y=23.4 0.15x+1.65y=23.40.15*(52-3y)+1.65y=23.47.8-0.45y+1.65y=23.41.2y=23.4-7.81.2y= 15.6y=15.6/1.2y= 13 l--------
x= 52- 3*13= 13 lz= 2y= 2*13= 26 lUsing π = 3.14, find the area of a circle with a radius of 4.2. Round your answer to the nearest hundredth.
9514 1404 393
Answer:
55.39 square units
Step-by-step explanation:
The formula for the area of a circle is ...
A = πr²
Put the given numbers in place of the corresponding variables and do the arithmetic.
A = 3.14 × 4.2² = 3.14 × 17.64 = 55.3896
Rounded to hundredths, the area is ...
55.39 square units
What is m ABC?
m ABC = 15°
m ABC = 45°
mABC = 60°
m ABC = 75°
Answer:
C) 60
Step-by-step explanation:
m ABC is 60 degrees
Answer:
The answer is mABC = 60°
(1 point) The intensity of light at a depth of x meters below the surface of a lake satisfies the differential equation dIdx=(−1.21)I. (a) At what depth, in meters, is the intensity of light half that of L, where L equals the intensity of light at the surface (where x=0)?
Answer:
0.573 m
Step-by-step explanation:
a. To find the depth, x, we first solve the differential equation to find the expression for I
dI/dx = (-1.21)I
dI = (-1.21)Idx
dI/I = -1.21dx
Integrating both sides, we have
∫dI/I = ∫-1.21dx
㏑I = -1.21x + C
I = exp(-1.21x + C)
I = exp(-1.21x)exp(C) Let exp(C) = A
I =Aexp(-1.21x)
when x = 0, I = L. Substituting these into the equation, we have
L = Aexp(-1.21 × 0)
L = Aexp(0)
L = A
So, I = Lexp(-1.21x)
we want to find x when I = L/2.
So, L/2 = Lexp(-1.21x)
1/2 = exp(-1.21x)
-1.21x= ㏑(1/2)
-1.21x= -㏑2
x = -㏑2/-1.21
x = 0.693/1.21
x = 0.573 m
what is the midpoint between (-3,-2) and (4,7)?
Answer:
1/2, 5/2
Step-by-step explanation:
To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2
(-3+4)/2, (-2 +7)/2
1/2, 5/2
Answer:
[tex](\frac{1}{2}, \frac{5}{2} )[/tex]
Step-by-step explanation:
Use the midpoint formula:
[tex](\frac{-3+4}{2} , \frac{-2+7}{2} )[/tex]
The points are:
[tex](\frac{1}{2}, \frac{5}{2} )[/tex]
Find the area A of △JKL with vertices J(−4,10), K(0,3), and L(−4,−2).
Answer:
24 sq. u.
Step-by-step explanation:
1)For this triangle area, let's use the classic Euclidean formula:
[tex]\Delta \: area=\frac{b*h}{2}[/tex]
2) Let's measure the lenght of the base, taking the y coordinate of J vertex and L Vertex
[tex]|10-(-2)|=|12|=12[/tex]
3) Similarly to the height, taking the K and its distance to the base
|0-(-4)|=|4|=4
4) Plugging them in:
[tex]\Delta \: area=\frac{12*4}{2}=24[/tex]
Answer:
24 Square Units
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT
Answer:
I cant see it properly
Step-by-step explanation:
Simplify m - {n + [p - (m + n - p)]}.
Answer:
Step-by-step explanation:
m-(n+(p-(m+n-p)))
Final Result :
2 • (m - p)
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot. Suppose a sample of 32 properties provided a sample mean of $130,000 per lot and a sample standard deviation of $12,500.
(a) Use a 0.05 level of significance to test the validity of the advertising claim.
(b) State the hypotheses.
(c) What is the p-value?
(d) What is your conclusion (use a level of significance of 0.05)?
(e) What is the interpretation of your conclusion?
Answer:
a) In the step-by-step explanation.
b) The null and alternative hypothesis are:
[tex]H_0: \mu=125000\\\\H_a:\mu> 125000[/tex]
c) P-value = 0.015
d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.
e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=125000\\\\H_a:\mu> 125000[/tex]
The significance level is 0.05.
The sample has a size n=32.
The sample mean is M=130000.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=32-1=31[/tex]
This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t>2.26)=0.015[/tex]
As the P-value (0.015) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.
In a study of its reservation patterns, a national hotel chain randomly sampled the records of 20 of its locations and recorded the number of days last year when the locations had no rooms available: 163, 126, 59, 47, 146, 64, 39, 75, 86, 114, 51, 68, 58, 38 66, 72, 42, 85, 40, 59
a) Construct a histogram of these data
b) Describe the distribution
Answer:
Step-by-step explanation:
a)
Class limits Frequency
38 - 63 9
64 - 89 7
90 - 115 1
116 - 141 1
142 - 167 2
Construct a histogram of these data(image attached)
b)
Frequency distribution table (also known as frequency table) consists of various components.
Classes: A large number of observations varying in a wide range are usually classified in several groups according to the size of their values. Each of these groups is defined by an interval called class interval. The class interval between 10 and 20 is defined as 10-20.
Class limits: The smallest and largest possible values in each class of a frequency distribution table are known as class limits. For the class 10-20, the class limits are 10 and 20. 10 is called the lower class limit and 20 is called the upper class limit.
Class limit: Class limit is the midmost value of the class interval. It is also known as the mid value.
Mid value of each class = (lower limit + Upper limit)2.
If the class is 38 to 63 , lower limit is 38 and upper limit is 63. So the mid value is
[tex]\frac{(38+63)}{2} =50.5[/tex]
Class width is calculated using upper and lower value
Class width = (upper - lower) value /class
[tex]=\frac{ ( 163 - 38)}{5} \\\\=25[/tex]
Magnitude of a class interval: The difference between the upper and lower limit of a class is called the magnitude of a class interval.
Class frequency: The number of observation falling within a class interval is called class frequency of that class interval.
I need some help finding the answer please help
Answer:
(1,3) (B)
Step-by-step explanation:
A function cannot have 2 y values per x value. The x value of 1 has 2 y values on it which are -2 and 3. Therefore, you must remove one of them. The only one that applies is (1,3)
I completed the vertical line test which shows that A, C, nor D had another point on their lines. So B is the answer.
A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos
Imagine you stick your hand into the refridgerator and pull out a piece of fruit at random. what is the sample space for this process?
a. s={apple, orange, banana, pear, plum, mango}
b. s= {6,5,10,3,7,11,2}c. s= {6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, 2 mangos
Answer:
s={apple, orange, banana, pear, peach, plum, mango} (option A)
Step-by-step explanation:
The sample space of an experiment is the set of all possible outcomes of that experiment.
The sample space is essential in finding the probability of an event associated with a random experiment.
In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.
Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)
Where s = sample space
Though peach was omitted in the set in option A by mistake, the correct answer:
s={apple, orange, banana, pear, peach, plum, mango}
A rectangular field has an area of 1764 square meters. The width of the field is 13 meters more than the length. What is the perimeter of the field.
Answer:
170m
Step-by-step explanation:
The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution:
x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170
Write the ratio as a fraction in simplest form.
18
84
Answer:
3/14
Step-by-step explanation:
The ratio of surface areas of two similar polyhedra is equal to the cube of the
ratio between their corresponding edge lengths.
O A. True
O B. False
Answer:
The answer is false already got this question wrong though D;
Step-by-step explanation:
The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges is false.
The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.
What is the area of scale factor?
The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids.
The area scale factor is given as the square of the linear scale factor.
that is Area Scale Factor = (Linear Scale Factor)²
The linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor such that the volume scale factor is given by the cube of the area scale factor.
Therefore the given statement is false
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Can you help me Please, hurry!!!!
Answer:
2,4,2,4.
Step-by-step explanation:
Answer:
2,4,2,4.
Step-by-step explanation:
80% of the students voted for Jane as dass
president she received 112 votes, how
many students voted?
A140
B228
C 152
D 148
Answer:
A
Step-by-step explanation:
140 x 0.8 = 112
Answer:
140 students voted (Answer A)
Step-by-step explanation:
Let v represent the total number of students who voted.
Then 0.80v = 112 votes.
Dividing both sides by 0.80, we get:
v = 140. 140 students voted.
As a check, find 80% of 140 students: that comes out to 112 students (correct)
The average number of road accidents that occur on a particular stretch of road
during a year is 11.
Ake
P(x = k) =
k!
k is the given number of event occurrences
A is the average rate of event occurrences
Using the Poisson distribution formula, what is the probability of observing exactly
7 accidents on this stretch of road next year? Answer choices are rounded to the
hundredths place.
Answer:0.06
Step-by-step explanation:
Andrea plans to serve orange juice for a large family brunch. She combines the orange concentrate and the water using a 2:5 ratio. How many cans of water does she combine with 10 cans of concentrate a 4 b 7 c 14 d 25
Answer:
d 25
So 10 cans of orange Concentrate will be = 25 cans of water
Step-by-step explanation:
Andrea combines the orange concentrate and the water using a 2:5 ratio.
We are to find how many cans of water she needs to combine with 10 cans of concentrate
So using the ratio.
2 cans of orange Concentrate is to 5 cans of water.
So 10 cans of orange Concentrate will be =( 10*5)/2
So 10 cans of orange Concentrate will be = 50/2
So 10 cans of orange Concentrate will be = 25 cans of water
8
.
Solve simultaneously the equations 6p - 4r = 14 and p-2r = 5.
p=..
فن
199110
Answer:
p = 1 and r = - 2
Step-by-step explanation:
Given the 2 equations
6p - 4r = 14 → (1)
p - 2r = 5 → (2)
Multiplying (2) by - 6 and adding to (1) will eliminate the term in p
- 6p + 12r = - 30 → (3)
Add (1) and (3) term by term to eliminate p
8r = - 16 ( divide both sides by 8 )
r = - 2
Substitute r = - 2 into either of the 2 equations and solve for p
Substituting into (2)
p - 2(- 2) = 5
p + 4 = 5 ( subtract 4 from both sides )
p = 1
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 Solve
Answer:
Always true or 0 = 0
Step-by-step explanation:
This equation simplifies to 0 = 0 I will show in several steps.
1. (-15x - 10) - (x - 3) = (-16x - 20) + 13
2. -16x - 7 = -16x - 20 + 13
3. 0 = 7 - 20 + 13
4. 0 = 0
Hope this helps! (Please consider giving brainliest)
Answer:
all real value for x
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Distribute
-15x -10 -x+3 = -16x -20 +13
Combine like terms
-16x-7 = -16x -7
Add 16x to each side
-16x-7 +16x= -16x -7+16x
-7 = -7
This is always true so x is all real values
PLEASE HELP
Write an equation in slope-intercept form with a slope of -5 and a y-intercept of 3.
a. y = 5x + 3
C. y = 3x - 5
b. y = -5x-3
d. y = -5x+3
Answer:
d y = -5x+3
Step-by-step explanation:
slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3
write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for
Answer:
[tex]1+ 0i[/tex]
Step-by-step explanation:
A complex number is a number which has some real part and some imaginary part.
Standard form of a complex number is represented as
[tex]a +bi[/tex]
Where [tex]a[/tex] is the real part,
and [tex]bi[/tex] is the imaginary part.
And [tex]i = \sqrt{-1}[/tex]
Given complex number:
[tex]-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i[/tex]
Hence, the standard form is [tex]1+ 0i[/tex].
Janet can wax her car in 2 hr(s). When she works together with Helga, they can wax the car in 45
min(s). How long would it take Helga, working by herself, to wax the car?
please help
Answer:
1.2h / 72min
Step-by-step explanation:
Maria waxes her car in 2 hours. When she works with Susan, they can wax the car
in 45 mins. How long will it take Susan, working by herself, to wax the car?
:
Let x = time required by Susan by herself
:
Change 45 min to hrs: 45/60 = .75 hrs
:
Let the completed job = 1
:
Each will do a fraction of the job and will add up to 1
:
.75%2F2 + .75%2Fx = 1
Multiply equation by 2x to eliminate the denominators, solve for x
.75x + 2(.75) = 2x
:
.75x + 1.5 = 2x
:
1.5 = 2x - .75x
:
1.5 = 1.25x
x = 1.5%2F1.25
x = 1.2 hrs (72min), for Susan to do the job by herself
Question 1 of 25
2 Points
What can you say about the end behavior of the function f(x) = - In (2x) + 4 ?
A. Both ends decrease
B. Both ends increase
c. One end decreases and one end approaches a constant
D. One end increases and one end decreases
SHIRT
Answer:
D. One end increases and one end decreases
One end increases and one end decreases in the given function f(x) = - In (2x) + 4. Therefore, the correct option is option D.
What is mathematical function?
In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function f(x) = - In (2x) + 4.
Therefore, the correct option is option D.
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what is the solution of square root 2x+4=16?
A.x=6
B.x=72
C.x=126
D.no solution
Answer:A.6
Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6
A party for 325 people is booked. The cost of the party is $8,125. If the party host are given an 8% discount on their total bill, what is the cost of the party
For which of the following numbers doesn’t the 5 appear in the hundredths place? (Multiple answers) A. 152.76 B. 26.578 C 12.057 D. 100.25 E. 253.47
Answer:
the only one that does is C
Step-by-step explanation:
doesn't= A, B, D, E
A soup can in the shape of a cylinder is 4 inches tall and has a radius of 2 inches. How much soup will fit in the can? Use 3.14
for and round the answer to the nearest tenth.
Recall the formula yr
0 12.6
16.0
25.1
50.2
Answer:
16.0
Step-by-step explanation:
Answer:
b 16.0
Step-by-step explanation:
