Answer:
Option D - Will not be rejected at the 0.05 level.
Step-by-step explanation:
The significance level, which is denoted as "α", is a measure of the strength of the evidence that must be present in a sample before we can reject the null hypothesis and conclude that the effect is statistically significant. Now, this significance level must be determined before conducting an experiment.
Now, in the context of this question, the significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 means a 5% risk of concluding that a difference exists when there is no actual difference. Now, lower significance levels will indicate that we require stronger evidence before we can reject the null hypothesis.
Thus, if we don't reject at α = 0.1,we obviously will not reject at higher values.
Thus, looking at the options, we will not reject at 0.05 significance level.
The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 5x + 1 How much more is the rate of change of function 2 than the rate of change of function 1? PLEASE ANSWER SOON I NEED IT BAD WHO EVER ANSWERS FIRST GETS VOTE FOR BRAINLYIEST
Answer:
Rate of change of function 1: ZERO
Rate of change of function 2: TWO
The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:
Hope this helps and please mark as brainiest!
Answer:
The answer is 2.
Step-by-step explanation:
. The client was hoping for a likability score of at least 5.2. Use your sample mean and standard deviation identified in the answer to question 1 to complete the following table for the margins of error and confidence intervals at different confidence levels. Note: No further calculations are needed for the sample mean. (6 points: 2 points for each completed row) Confidence Level | Margin of error | Center interval | upper interval | Lower interval 68 95 99.7
Answer:
The 68% confidence interval is (6.3, 6.7).
The 95% confidence interval is (6.1, 6.9).
The 99.7% confidence interval is (5.9, 7.1).
Step-by-step explanation:
The Central Limit Theorem states that if we have a population with mean μ and standard deviation σ and take appropriately huge random-samples (n ≥ 30) from the population with replacement, then the distribution of the sample-means will be approximately normally distributed.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\bar x[/tex]
And the standard deviation of the sample means (also known as the standard error)is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}} \ \text{or}\ \frac{s}{\sqrt{n}}[/tex]
The information provided is:
[tex]n=400\\\\\bar x=6.5\\\\s=4[/tex]
As n = 400 > 30, the sampling distribution of the sample-means will be approximately normally distributed.
(a)
Compute the 68% confidence interval for population mean as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]
[tex]=6.5\pm 0.9945\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.1989\\\\=(6.3011, 6.6989)\\\\\approx (6.3, 6.7)[/tex]
The 68% confidence interval is (6.3, 6.7).
The margin of error is:
[tex]MOE=\frac{UL-LL}{2}=\frac{6.7-6.3}{2}=0.20[/tex]
(b)
Compute the 95% confidence interval for population mean as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]
[tex]=6.5\pm 1.96\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.392\\\\=(6.108, 6.892)\\\\\approx (6.1, 6.9)[/tex]
The 95% confidence interval is (6.1, 6.9).
The margin of error is:
[tex]MOE=\frac{UL-LL}{2}=\frac{6.9-6.1}{2}=0.40[/tex]
(c)
Compute the 99.7% confidence interval for population mean as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot \frac{s}{\sqrt{n}}[/tex]
[tex]=6.5\pm 0.594\cdot \frac{4}{\sqrt{400}}\\\\=6.5\pm 0.392\\\\=(5.906, 7.094)\\\\\approx (5.9, 7.1)[/tex]
The 99.7% confidence interval is (5.9, 7.1).
The margin of error is:
[tex]MOE=\frac{UL-LL}{2}=\frac{7.1-5.9}{2}=0.55[/tex]
ABCD IS a rectangle and line OA is perpendicular to line OB, line BC is equal to 2cm, line CD is equal to 6cm and tan x degree is equal to 3 / 4.find the values of a.sinx b.cos x and c.line OZ.
Answer:
a) sinx = 3/5
b) cosx = 4/5
c) line OZ = 3cm
Step-by-step explanation:
Two different questions are stated here:
The first is rectangle ABCD where two of its sides are given and we are to find line OZ
The second is on trigonometry. We have been given the tangent ratio and we are to find the sine and cosine ratio.
1) Rectangle ABCD dimensions:
AB = 2cm
CD = 6cm
So we know when we are drawing the rectangle, the smallest side = 2cm and biggest side = 6cm
AO is perpendicular to OB
Line OZ cuts line AB into two
Find attached the diagram
To determine Line OZ, we would apply tangent rule since we know adjacent but opposite is missing.
All 4 angles in a rectangle = 90°
∠OAZ = 45
tan 45 = opposite/adjacent
tan 45 = OZ/3
OZ = 3 × tan45
OZ = 3×1
OZ = 3cm
2) tanx = 3/4
Tangent ratio = opposite/adjacent
opposite = 3, adjacent = 4
see attachment for diagram
Sinx = opposite/hypotenuse
Using Pythagoras theorem
hypotenuse² = opposite² + adjacent²
hypotenuse² = 3²+4² = 9+16 = 25
hypotenuse = √25
hypotenuse = 5
Sinx = opposite/hypotenuse
Sinx = 3/5
Cosx = adjacent/hypotenuse
Cosx = 4/5
a) 3/5
b) 4/5
c) 3cm
by how much is 25% of #25 greater than 15% of #15
Answer:
4
Step-by-step explanation:
25% of 25
0.25 × 25 = 6.25
15% of 15
0.15 × 15 = 2.25
Find the difference.
6.25 - 2.25
= 4
I NEED HELP FAST, THANKS! :)
Answer:
33 units²
Step-by-step explanation:
A (graphing) calculator shows you that f(4) ≈ 8, and f(8) ≈ 8.5. The curve is almost a straight line between, so the area is approximately ...
A = (1/2)(8 + 8.5)(4) = 33
__
If you do the integration, it gets a bit messy.
[tex]\displaystyle\dfrac{5}{7}\int_4^8{x^{2/7}}\,dx+\dfrac{1}{2}\int_4^8{x^{4/9}}\,dx+\int_4^8{6}\,dx\\\\=\left.\left(\dfrac{5}{9}x^{9/7}+\dfrac{9}{26}x^{13/9}+6x\right)\right|_4^8\approx 33.16[/tex]
The appropriate answer choice is 33 square units.
An object moves along a horizontal coordinate line in such a way that its position at time t is specified by s equals t cubed minus 3 t squared minus 24 t plus 8. Here s is measured in centimeters and t in seconds. When is the object slowing down; that is, when is its speed decreasing?
Answer:
a)
The object slowing down S = -72 centimetres after t = 4 seconds
b)
The speed is decreasing at t = -2 seconds
The objective function S = 36 centimetres
Step-by-step explanation:
Step(i):-
Given S = t³ - 3 t² - 24 t + 8 ...(i)
Differentiating equation (i) with respective to 'x'
[tex]\frac{dS}{dt} = 3 t^{2} - 3 (2 t) - 24[/tex]
Equating Zero
3 t ² - 6 t - 24 = 0
⇒ t² - 2 t - 8 = 0
⇒ t² - 4 t + 2 t - 8 = 0
⇒ t (t-4) + 2 (t -4) =0
⇒ ( t + 2) ( t -4) =0
⇒ t = -2 and t = 4
Again differentiating with respective to 'x'
[tex]\frac{d^{2} S}{dt^{2} } = 6 t - 6[/tex]
Step(ii):-
Case(i):-
Put t= -2
[tex]\frac{d^{2} S}{dt^{2} } = 6 t - 6 = 6 ( -2) -6 = -12 -6 = -18 <0[/tex]
The maximum object
S = t³ - 3 t² - 24 t + 8
S = ( -2)³ - 3 (-2)² -24(-2) +8
S = -8-3(4) +48 +8
S = - 8 - 12 + 56
S = - 20 +56
S = 36
Case(ii):-
put t = 4
[tex]\frac{d^{2} S}{dt^{2} } = 6 t - 6 = 6 ( 4) -6 = 24 -6 = 18 >0[/tex]
The object slowing down at t =4 seconds
The minimum objective function
S = t³ - 3 t² - 24 t + 8
S = ( 4)³ - 3 (4)² -24(4) +8
S = 64 -48 - 96 +8
S = - 72
The object slowing down S = -72 centimetres after t = 4 seconds
Final answer:-
The object slowing down S = -72 centimetres after t = 4 seconds
The speed is decreasing at t = -2 seconds
The objective function S = 36 centimetres
1)
Check all the expressions that are equal to this one:
5. (4+1)
A. (5 • 4) + 1
B. 5.4 + 5 - 1
C. (4+1) • 5
D. 5. (1 + 4)
State the domain and range of the following functions f(x) =1/x+3 g(x) =sqrt x+6
Answer:
For the function [tex]f(x)=\frac{1}{x} +3[/tex]. The domain is [tex]\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)[/tex] and the range is [tex]\left(-\infty, 3\right) \cup \left(3, \infty\right)[/tex].
For the function [tex]g(x) =\sqrt{x+6}[/tex]. The domain is [tex]\left[-6, \infty\right)[/tex] and the range is [tex]\left[0, \infty\right)[/tex].
Step-by-step explanation:
The domain of a function is the set of input or argument values for which the function is real and defined.
The range of a function is the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.
[tex]f(x)=\frac{1}{x} +3[/tex] is a rational function. A rational function is a function that is expressed as the quotient of two polynomials.
Rational functions are defined for all real numbers except those which result in a denominator that is equal to zero (i.e., division by zero).
The domain of the function is [tex]\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)[/tex].
The range of the function is [tex]\left(-\infty, 3\right) \cup \left(3, \infty\right)[/tex].
[tex]g(x) =\sqrt{x+6}[/tex] is a square root function.
Square root functions are defined for all real numbers except those which result in a negative expression below the square root.
The expression below the square root in [tex]g(x) =\sqrt{x+6}[/tex] is [tex]x+6[/tex]. We want that to be greater than or equal to zero.
[tex]x+6\geq 0\\x\ge \:-6[/tex]
The domain of the function is [tex]\left[-6, \infty\right)[/tex].
The range of the function is [tex]\left[0, \infty\right)[/tex].
ope Equation
fy
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.
Answer:
A
Step-by-step explanation:
For point-slope form, you need a point and the slope.
y - y₁ = m(x - x₁)
Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/
-4 - 0 = -4
-4 - 4 = -8
-4/-8 = 1/2
The slope is 1/2. This cancels out choices C and D.
With the point (-4, -4), A is the answer.
the equation of the line in slope-intercept form is:
y = (1/2)x - 2
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the graph, two points on the line are (-4, -4) and (4,0),
The formula for the slope of a line is:
m = (y₂ - y₁) / (x₁ - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
Using the given points (-4, -4) and (4, 0), we can calculate the slope:
m = (0 - (-4)) / (4 - (-4))
m = 4 / 8
m = 1/2
Now that we know the slope, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
To find the y-intercept, we can use one of the given points on the line. Let's use the point (-4, -4):
y = mx + b
-4 = (1/2)(-4) + b
-4 = -2 + b
b = -2
Therefore, the slope-intercept form of the line is y = (1/2)x - 2.
Learn more about Linear equations here:
https://brainly.com/question/11897796
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I need help plz someone help me solved this problem I need help ASAP! I will mark you as brainiest!
Answer: k = 12
Step-by-step explanation:
x² + kx + 36 = 0
In order for x to have exactly one solution, it must be a perfect square.
(x + √36)² = 0
(x + 6)² = 0
(x + 6)(x + 6) = 0
x² + 6x + 6x + 36 = 0
x² + 12x + 36 = 0
k = 12
please help will mark brainliest!
Answer:
1. Vertex (-3,2)
A) (x+3)² + 5
B) (x-3)² + 2
C) (x-1)² -5
I hope these are all correct
Step-by-step explanation:
If two variables, x and y, have a very strong linear relationship, then:______. a. there is evidence that x causes a change in y.b. there is evidence that y causes a change in x.c. there might not be any causal relationship between x and y.d. none of these alternatives is correct.
Answer:
c. there might not be any causal relationship between x and y.
Step-by-step explanation:
A correlation can be defined as a numerical measure of the relationship between existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
If two variables, x and y, have a very strong linear relationship, then there might not be any causal relationship between x and y.
A causal relation exists between two variables (x and y), if the occurrence of the first causes the other; where, the first variable (x) is referred to as the cause while the second variable (y) is the effect.
A strong linear relationship exists between two variables (x and y), if they both increases or decreases at the same time. It usually has a correlation coefficient greater than zero or a slope of 1.
Hence, if two variables, x and y, have a very strong linear relationship, then there might not be any causal relationship between x and y.
Find the percent of increase. Original Price: $200 Retail Price: $250
Answer:
The percent of increase is 25%
Step-by-step explanation:
Percentage increase = increase in price/original price × 100 = ($250 - $200)/$200 × 100 = $50/$200 × 100 = 25%
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
3x - y = 4
6x - 2y = 7
A. x = 6, y = 2
B. No solution
C. x= 3, y= 1
D. More than 1 solution
SUBMIT
Answer:
B. No solution.
Step-by-step example
I will try to solve your system of equations.
3x−y=4;6x−2y=7
Step: Solve3x−y=4for y:
3x−y+−3x=4+−3x(Add -3x to both sides)
−y=−3x+4
−y
−1
=
−3x+4
−1
(Divide both sides by -1)
y=3x−4
Step: Substitute3x−4foryin6x−2y=7:
6x−2y=7
6x−2(3x−4)=7
8=7(Simplify both sides of the equation)
8+−8=7+−8(Add -8 to both sides)
0=−1
Therefore, there is no solution, and the lines are parallel.
60 points +brainleist to best answer!
Answer:
A and B are independent because P(A) * P(B) = P(A and B).
Step-by-step explanation:
If A and B are independent, then P(A) * P(B) = P(A and B)
since
P(A)*P(B) = (2/3*1/4) = 2/12 = 1 / 6 = P(A and B)
A and B are independent.
Answer:
YES THANKS FOR 30
Step-by-step explanation:
The half-life of radium-226 is 1590 years. If a sample contains 400 mg how many mg will remain after 4000 years?
Answer:
69.9 mg
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is time,
and T is the half life.
A = 400 (½)^(4000 / 1590)
A = 69.9 mg
Write a two column proof Given: AB || DC; BC || AE Prove: BC/EA = BD/EB
Answer:
Step-by-step explanation:
Given:
AB║DC and BC║AE
To prove:
[tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex]
Statements Reasons
1). ∠ABE ≅ ∠CDB 1). Alternate interior angles
2). ∠AEB ≅ ∠CBD 2). Alternate interior angles
3). ΔCBD ~ ΔAEB 3). AA property of similarity
4). [tex]\frac{\text{BC}}{\text{EA}}=\frac{\text{BD}}{\text{EB}}[/tex] 4). Property of similarity [Corresponding sides of two similar triangles are proportional]
Determine whether each function is even, odd, or neither.g(x) = |x-3| g(x) = x + x
Answer:
Step-by-step explanation:
g(x) = |x-3| is neither even nor odd; the graph is not symmetric about the y-axis (as characterizes even functions), and is not symmetric about the origin either.
g(x) = x + x is actually g(x) = 2x, which is an odd function. The graph is symmetric about the origin.
The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of the rectangle.
Answer:
The length is 35cmThe width is 5cmStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
The length is seven times the width is written as
l = 7w
Area of the rectangle = 175 cm²
7w × w = 175
7w² = 175
Divide both sides by 7
w² = 25
Find the square root of both sides
w = √25
w = 5cm
But l = 7w
l = 7(5)
l = 35cm
The length is 35cm
The width is 5cm
Hope this helps you.
Working together, Edith and Rupert can pick 3 quarts of blueberries in an
hour. How many quarts can they pick in 7 hours?
Answer:
21
Step-by-step explanation:
Multiply 3 quarts to 7 hours
Which is 21
Mark me as brainliest
Step-by-step explanation:
Edith picks 3
Rupert picks 3
3 + 3 = 6 quarts of blueberries in 1 hour
6 blueberries = 1 hour
x. =. 7 hours
x = 7 hours ÷ 1 hour × 6 blueberries
x =. 42 quarts of blueberries
Suppose CAequalsISubscript n (the ntimesn identity matrix). Show that the equation ABold xequalsBold 0 has only the trivial solution. Explain why A cannot have more columns than rows
Answer:
See Explanation
Step-by-step explanation:
(a)For matrices A and C, given that: [tex]CA=I_n[/tex].
We want to show that Ax=0 has only the trivial solution
If Ax=0
Multiply both sides by C
[tex]C(Ax)=C \times 0\\\implies (CA)x=0$ (Recall: CA=I_n)\\\implies I_nx=0 $ (Since I_n$ is the n\times n$ identity matrix)\\\implies x=0[/tex]
This means that the system has only the trivial solution.
(b)If the system has more columns than rows, a free variable would occur when a column does not have a pivot. This would lead to a non-trivial solution.
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. text({) 1/4, - 2/9, 3/16, - 4/25, ...text(})
Answer:
The general term for the given sequence is:
[tex]a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}[/tex]
Step-by-step explanation:
The given series is:
[tex]\dfrac{1}4, - \dfrac{2}9, \dfrac{3}{16}, - \dfrac{4}{25}, ......[/tex]
First of all, let us have a look at the positive and negative sign of the sequence.
2nd, 4th, 6th ..... terms have a negative sign.
For this we can use the following
[tex](-1)^{n+1}[/tex]
i.e. Whenever 'n' is odd, power of (-1) will become even resulting in a positive term for odd terms i.e. (1st, 3rd, 5th ........ terms)
Whenever 'n' is even, power of (-1) will become odd resulting in a negative term for even terms i.e. (2nd, 4th, 6th ..... terms)
Now, let us have a look at the numerator part:
1, 2, 3, 4.....
It is simply [tex]n[/tex].
Now, finally let us have a look at the denominator:
4, 9, 16, 25 ......
There are squares of the (n+1).
i.e. 1st term has a square of 2.
2nd term has a square of 3.
and so on
So, it can be represented as:
[tex](n+1)^2[/tex]
[tex]\therefore[/tex] nth term of the sequence is:
[tex]a_n=(-1)^{n+1}\dfrac{n}{(n+1)^2}[/tex]
Answer:
7
Step-by-step explanation:
Write the value of the money in dollars Brainliest Awnser gets 7 points for greatness
Answer:
The picture isn't very clear but I think this is the answer.
1. 15 cents
2. $1.31
3. 30 cents
Step-by-step explanation:
1. 10+5
2. 50+50+10+10+10+1
3. 25+5
Given: g(x) = square root x-4 and h(x) = 2x - 8 What are the restrictions on the domain of g of h. x greater than or equal to
Answer:
Step-by-step explanation:
x-4 greater or equal 0
x greater or equal 4
Answer:
The actual answer is x is greater than or equal to 6 (i used the answer that was on here and got it wrong so here is the correct answer!!)
just did the test on edg 2021
How many solutions does this linear system have? y=-1/2x+4 x+2y=-8
Answer:
no solution
Step-by-step explanation:
y=-1/2x+4
2y=-x-8, t=-1/2x-4
These are parallel so no solution
Answer:
The correct answer is no solution.
Step-by-step explanation:
y = -1/2x + 4
x + 2y = -8 → -1/2x + 4
The lines are parallel therefore, leaving us with no solution.
Hope this helped! :)
HELPPPPPP!!!!!!!!!! ITS DUENSOON PLS
Answer:
Step-by-step explanation:
A=2(3.14)rh+2(3.14)r^2
A=2(3.14)(4.5)(19)+2(3.14)(4.5)^2
A=536.94+127.17
A=664.11
Might want to double the math but the formula is right!
Evaluate the expression ........
Answer:
13
Step-by-step explanation:
p^2 -6p +6
Let p=-1
(-1)^2 -6(-1) +6
1 +6+6
13
Christopher collected data from a random sample of 800 voters in his state asking whether or not they would vote to reelect the current governor. Based on the results, he reports that 54% of the voters in his city would vote to reelect the current governor. Why is this statistic misleading?
Answer:
The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).
Step-by-step explanation:
The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).
He should make inferences about the population that is well represented by his sample (voters in his state), or take a sample only from voters from his city to make inferences about them.
What is the point-slope form of a line with slope 3/2 that contains the point
(-1,2)?
A. y+2 = (x - 1)
B. y-2 = {(x-1)
C. y-2 = = {(x+1)
D. y+2= {(x+1)
Answer:
y - 2 = (3/2)(x + 1)
Step-by-step explanation:
Start with the point-slope formula y - k = m(x - h). With m = 3/2, h = -1 and k = 2, we get:
y - 2 = (3/2)(x + 1)
Denise is planning to put a deck in her back yard. The deck will be a 10-by-7-foot rectangle with a semicircle of diameter 4 feet, as shown below. Find the area of the deck (in square feet).(round your answer to two decimal places)
Answer:
[tex]approx. = 85.28 {ft}^{2} [/tex]
Step-by-step explanation:
You can think of this as adding the area of the rectangular portion of the deck (length x width) and the semicircular portion (πr^2)/2.
(l×w)+(πr^2)/2
(10×7)+((π2^2)/2
79+2π
[tex]approx. = 85.28 {ft}^{2} [/tex]