Answer:
We reject H₀, we find that the current level of mercury uptake in the Everglades has decrease
Step-by-step explanation:
We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)
Test Hypothesis:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
Sample size 25 then n < 30 we will use t-student table
Population mean : μ₀ = 15 ppm
sample mean : μ = 14,6 ppm
sample standard deviation: s = 1 ppm
Sample size n : 25
degrees of freedom df = n - 1 df = 24
We will develop the test for CI 90% then α = 10% α = 0,1 α/2 = 0,05
For that values in t student table we find:
t(c) = 1,711 by symmetry t(c) = - 1,711
To compute ts
t(s) = ( μ - μ₀ ) / s/√n
t(s) = 14,6 - 15 / 1 /√25
t(s) = - 0,4*5 / 1
t(s) = - 2
Comparing t(c)and t(s)
|t(s)| > |t(c) | and t(s) < t(c) -2 < -1,711
Therefore t(s) in in the rejection region, we reject H₀
Marcus thinks of a number between 5 and 10 He multiplies the number by 4 and adds 20.He takes this answer, multiplies it by 4 and adds 20 .He repeats this process a number of times and gets 868 What number did he begin with?
Answer:
7
Step-by-step explanation:
7 × 4 + 20 × 4 + 20 = 212
212 x 4 + 20 = 868
The number is 7.
What is Sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
First term, [tex]a_1[/tex] = x
[tex]a_2[/tex] = 4[tex]a_1[/tex] + 20
.
.
.
[tex]a_n[/tex] = 4[tex]a_{n-1[/tex] + 20
So, [tex]a_n[/tex] = 868
4[tex]a_{n-1[/tex] + 20 = 868
4[tex]a_{n-1[/tex] = 868 - 20
[tex]a_{n-1[/tex] = 212
4[tex]a_{n-2[/tex] + 20 = 212
[tex]a_{n-2[/tex] = 48
and, [tex]a_{n-3[/tex] = 7
Hence, the number is 7.
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Please help if you know how to do this, thanks
9514 1404 393
Answer:
4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)
5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)
6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)
Step-by-step explanation:
Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.
4) see the first attachment
y = -3(x+2)^2 +4 . . . vertex form
y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)
__
5) see the second attachment
y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)
y = 0.5x^2 -x -1.5 . . . standard form
__
6) see the third attachment
y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)
y = -0.3x^2 -1.2x -7.2 . . . standard form
_____
Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...
y = ax^2 +bx +c
which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.
Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?
Answer:
The number of tickets sold at the gate is [tex] G = 211.25[/tex]
The number of tickets sold in advance is [tex] A = 311.25 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is [tex]a = \$ 5[/tex]
The cost of a ticket in advance is [tex]b = \$ 3[/tex]
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
[tex]G + 100 = A[/tex]
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
[tex]5 G + 3A = 1990[/tex]
substituting for A in the equation above
[tex]5 G + 3[G + 100]= 1990[/tex]
[tex]5 G + 3G + 300= 1990[/tex]
[tex] 8G + 300= 1990[/tex]
[tex] 8G = 1690[/tex]
=> [tex] G = 211.25[/tex]
Substituting this for G in the above equation
[tex]5 [211.25] + 3A = 1990[/tex]
=> [tex] 3A = 1990 - 1056.25[/tex]
=> [tex] A = 311.25 [/tex]
If 10 tacos cost $8.49, then one taco would cost
Answer:
Step-by-step explanation:
10 tacos = $8.49
So, one taco = $8.49 / 10
=> $0.849
If my answer helped, kindly mark me as the brianliest!!
Thank You!!
Answer:
about $0.85
Step-by-step explanation:
8.49 divided by 10 = 0.849. Round to the nearest thousanths.
Suppose that $4500 is placed in an account that pays 19% interest compounded each year.
Assume that no withdrawals are made from the account.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Answer:
a) 5355
b) 6372.45
Step-by-step explanation:
4500 * 1.19 = 5355
5355 * 1.19 = 6372.45
Two angles of a triangle measure 55° and 20° what is the measure of the third angle on a triangle
Answer:105 degrees
Step-by-step explanation: All triangles have a 180 degree to them so 55+20 is 75 AND 180 degrees - 75 gives us 105 degrees. Although I know my math is correct a picture of this triangle would be helpful
Answer:
105
Step-by-step explanation:
all the angles of a triangle must equal 180
K^2+k=0 what does k=
Answer:
k = K^2
Step-by-step explanation:
Subtract K^2 from both sides of the equation.
An AP ® Statistics student designs an experiment to see whether today’s high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes—one with a calculator and one without—in a random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares regression yields the equation ˆ=−1.2+0.865() =0.79 Which of the following statements is/are true?
Answer:
I and III
Step-by-step explanation:
–h2 – 4h + 5 = 0 solve quadratic equation
Answer:
[tex]x=-5, 1[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDAS
Standard Form: ax² + bx + c = 0
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
Step 1: Define
-h² - 4h + 5 = 0
a = -1
b = -4
c = 5
Step 2: Solve for x
Substitute: [tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(-1)(5)} }{2(-1)}[/tex]Simplify: [tex]x=\frac{4\pm\sqrt{(-4)^2-4(-1)(5)} }{2(-1)}[/tex]Exponents: [tex]x=\frac{4\pm\sqrt{16-4(-1)(5)} }{2(-1)}[/tex]Multiply: [tex]x=\frac{4\pm\sqrt{16+20} }{-2}[/tex]Add: [tex]x=\frac{4\pm\sqrt{36} }{-2}[/tex]Evaluate: [tex]x=\frac{4\pm6 }{-2}[/tex]Evaluate: [tex]x=-5, 1[/tex]hi! i’ll mark brainlest to whoever answers this question first :(
Answer:
no one likes u
Step-by-step explanation:
________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis
Answer:
b. diffusion and active transport
Step-by-step explanation:
these are two ways that substances, like nutrients, pass through cell membranes.
Answer:
b
Step-by-step explanation:
Suppose that IQ scores have a bell-shaped distribution with a mean of
96 and a standard deviation of
17. Using the empirical rule, what percentage of IQ scores are between
79 and
113?
Ta
Answer
How to enter your answer
%
Answer:
68 %
Step-by-step explanation:
The Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 96 and a Standard deviation of 17
Applying , the first empirical rule for 1 standard deviation from the mean, we have:
μ - σ
96 - 17
= 79
μ + σ
96 + 17
= 113
Therefore, the percentage of IQ scores that are between 79 and 113 is 68%
The surface area of a cube may be found using the formula A=6s2.
What is the edge length of a cube with a surface area of 81 cm2?
Round your answer to the nearest tenth.
Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet. The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.
Answer:
A)+17311 represent the value in the statement.
B)-237 represent the value in the statement.
Step-by-step explanation:
A) The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet.
Elevation is in the positive direction
So, the positive integer will represent the given situation
So, The highest elevation in a country is Mt. Snowy with an altitude of +17311
Thus +17311 represent the value in the statement.
B)The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.
Below the sea level means negative direction
So, the negative integer will represent the given situation
So, The lowest elevation in the country is Green Valley with an altitude of - 237 feet below sea level.
Thus -237 represent the value in the statement.
Pls hurry
Use the Order of Operations to simplify the problems below. Number your answers with the same number as the problem.
1) −23+(−2)3
2) 4−2(3)+8
3) 3(4)2+7(2)
Answer:
1) -23+(-2)3
-23-2×3
-23-6
-29
2)4-2(3)+8
4-2×3+8
4-6+8
-2+8
6
3) 3(4)2+7(2)
3×4×2+7×2
24+14
38
A 12-foot piece of rope has 5 pieces that are each 1.25 feet cut from it. What is the rope's new length?
Answer:
5.75 feet
Step-by-step explanation:
5 x 1.25= 6.25
12-6.25=5.75
sorry if I got it wrong
there are 5,280 feet in 1 mile. if Riley ran 26,400 feet how many miles did she run
12x^4 divided by 3x^2
Answer:
12x^4 divided by 3x^2 is 4x^2
Step-by-step explanation:
So what you basically do is 12 divided by 3 which is 4.
When you divide exponents, its basically subtracting the exponent while leaving the coefficient of x or whatever the same.
When you multiply exponents, you are literally adding the exponent while leaving the coefficient alone.
When you add exponents, you gotta have the same exponent and you can't add something like x^3 + x^7 because they don't have the same unit of the exponent, but you can only do that with multiplication or division.
So, since you are dividing, you "subtract" the exponent of x^4 by x^2 so you get x^2 since 4-2 equals 2.
I hope this is at a point where you can understand!
Hope this helps!
Answer:
4x^2 beep beep
Determine the intercepts of the line.
Y-intercept(__ , __)
X-intercept(__,__)
Answer:
Y-intercepts: (0,6)
X-intercepts: (8,0)
Answer:
Y-intercept: (0,-6)
X-intercept: (-8,0)
Step-by-step explanation:
In order to find an intercept, you have to know the difference in the two axis. The intercept is just where the plot line hits the axis. On the top, left side, you can see that the blue line his the black x-axis at -8 over to the right but it doesn't mover down. This means the x-intercept hits at (-8,0). On the upper, right side, you can see that the blue line his the black y-axis by not moving sideways, but it does go -6 down. This means that the y-intercept would be (0,-6).
In a recent study, the Centers for Disease Control and Prevention reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.6 and standard deviation 10. (a) Find the 10th percentile of the blood pressures. (b) Find the 34th percentile of the blood pressures. (c) Find the third quartile of the blood pressures. Use the TI-84 Plus calculator and round the answers to at least two decimal places.
Answer:
A.) 67.78
B.) 76.48
C.) 87.34
Step-by-step explanation:
Given that:
Mean (m) = 80.6
Standard deviation (σ) = 10
A.) 10th percentile :
10th percentile corresponds to a Zscore of - 1.282
Zscore = (x - m) / σ
-1.282 = (x - 80.6) / 10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
B.)34th percentile of blood pressure ;
34th percentile corresponds to a Zscore of - 0.412
Zscore = (x - m) / σ
-0.412 = (x - 80.6) / 10
-4.12 = x - 80.6
x = - 4.12 + 80.6
x = 76.48
C.) third quartile = 75% = 0.75
75th percentile corresponds to a Zscore of 0.674
Zscore = (x - m) / σ
0.674 = (x - 80.6) / 10
6.74 = x - 80.6
x = 6.74 + 80.6
x = 87.34
a)The 10th percentile of blood pressure is 67.78.
b)The 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
Mean blood pressure μ= 80.6
Standard deviation σ= 10
From the normal standard table, the z-score corresponding to the 10th percentile = - 1.282
What is a z-score?A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
z= (x-μ) /σ
-1.282 = (x - 80.6) /10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
So, the 10th percentile of blood pressure is 67.78.
Similarly, the 34th percentile of blood pressure =76.48
The third quartile of the blood pressure =87.34
Therefore a) the 10th percentile of blood pressure is 67.78.
b)the 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
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A salesperson gets a commission of $1600 for the first $10,000 of sales, and then $800 for each additional $10,000 or partial of sales, let s(x) represent the commission on x dollars of sales. Find the value of A(45000)
Answer:
s(55000)=400+200(45000/10000)
""=400+200(5)=400+1000=$1400 total commission
Step-by-step explanation:
HOPE THIS HELPS :)
Using the equation y=(1/2)x, when x=0 what is the value y ?
Answer:
.
Step-by-step explanation:
The probability that an employee at a company uses illegal drugs is 0.08. The probability that an employee is male is 0.62. Assuming that these events are independent, what is the probability that a randomly chosen employee is a male drug user?
Answer: 0.0496
Step-by-step explanation:
If events are said to be independent it means that the probability of one happening does not affect the probability of the other.
In calculating the probability that an employee is both male and a drug user using independent events, multiply the probabilities of the individual events to find the probability of the the events happening together.
P(A) * P(B) = P(A and B)
0.08 * 0.62 = 0.0496
Probabilities are used to determine the chances of events.
The probability that a randomly chosen employee is a male drug user is 0.0496
Represent the two events as A and B, such that:
[tex]P(A) = 0.08[/tex]
[tex]P(B) =0.62[/tex]
So, the probability that a randomly chosen employee is a male drug user is calculated as:
[tex]P(A\ and\ B) =P(A) \times P(B)[/tex]
This gives
[tex]P(A\ and\ B) =0.08 \times 0.62[/tex]
Multiply
[tex]P(A\ and\ B) =0.0496[/tex]
Hence, the probability that a randomly chosen employee is a male drug user is 0.0496
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What is the expanded equivalent of sin(a + b)?
A.
sin a cos b-cos a sin b
B.
sin a cos b + cos a sin b
C.
cos a cos b-sin a sin b
D
cos a cos b + sin a sin b
Answer:
B. Sin a cos b + cos a sin b
Step-by-step explanation:
PLATO
the measure of an angle is 79.7 what is the measure of its complementary angle
Answer:
10.3
Step-by-step explanation:
Answer:
10.3°
Step-by-step explanation:
complementary angles are angles that sum up to 90°.
Therefore the complement of 79.7
= 90-79.7
=10.3°
PLZZZZ HELP IM BEING TIMED AND I DONT GET THIS PROBLEM
Answer:
C) 11/8
Step-by-step explanation:
Answer:
Its 11/8 (c)
Step-by-step explanation:
subtract first the numerators then apply the absolite value.
After that find the lcm= 8
30/8 (15/4) - 19/8
PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!
Answer:
2034
Step-by-step explanation:
Each step in a procedure to solve this equation is shown.
Equation: 5x−7=3(x+1)
Step 1: 5x−7=3x+3
Step 2: 2x−7=3
Step 3: 2x=−4
Step 4: x=−2
In which step is the first error made?
a. from the original equation to step 1
b. from step 1 to step 2
c. from step 2 to step 3
d. from step 3 to step 4
Answer:
from step 3 to step 4
Step-by-step explanation:
because 2x-7=3 is equal to 2x=3+7=10
not 2x=-4 so 3 is false so even four is incorrect
Plizzz helppp I don't know how to do it helpp
Answer:
Lol I'll help you. So for the 1st problem, you need to subtract 7x from 4x but if your looking for and answer then x=2. For the 2nd problem subtract 3x-5x and 7 + 9 which brings you to -2x - 16 which means you would have to find x in this problem which means x has to be a negative. The negative answer is x= -32 since a negative x a negative is a positive. Which brings you to 16-16 and then 0. For the third one, you need to change the problem. Turn it into 5x - x = 4 + 8 which brings you to 4x = 12 making x =3. and for number 4 you need do the same as we just did and do 11x - 6x - 3x and then do 20 - 6 which brings you to 2x = 14 which makes x=7.
Step-by-step explanation:
The sum of two squares of two consecutive numbers is 145. What are those two numbers?
Answer:
8 and 9
Step-by-step explanation:
Answer:
Think!
72 + 82 = 49 + 64 = 113
82 + 92 = 64 + 81 = 145
Step-by-step explanation:
Found the answer by simple experimentation.
hope this helps
