A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79
Answer:
t = 5.79
Step-by-step explanation:
Given the regression line equation :
Cˆ=182+2.2A
Null ; H0:β=0
Alternative ; Ha:β≠0
Comparing with the general for of a linear regression equation :
y = bx + c
b =slope Coefficient ; c = intercept
b = 2.2 (from equation given)
The test statistic :
t = (Slope, b - null, β) / standard error of slope, E
(b - β) / E
(2.2 - 0) / 0.38
t = 2.2 / 0.38
t = 5.7894736
t = 5.79
Please help!!!! I’m about to fail and I don’t want to
Answer:
But, you didn't ask any question.
Step-by-step explanation:
Remember to post your question next time.
A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22
Answer: C 0.22,
Step-by-step explanation:
We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample
Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]
The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
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What is the unit digit of 3^(25) + 325 ? (Please show work and I will mark brainlist)
A. 1
B. 3
C. 5
D. 6
E. 8
Unit digit of [tex]3^{25} + 325[/tex] is 8.
Thus option E is correct .
Given , expression [tex]3^{25} + 325[/tex]
To identify the unit digit firstly the cyclicity of 3 ,
Cyclicity of 3 :
[tex]3^1 = 3\\\\3^2 = 9\\\\3^3 = 27\\\\3^4 = 81\\\\3^5 = 243\\\\3^6 = 729\\\\3^7 = 2187[/tex]
[tex]3^8 = 6561[/tex]
Here the cyclicity of 3 is 4 that is the unit digit of exponent of 3 will be repeating after every fourth power.
Here, the exponent of 3 is 25.
Divide 25 by the cyclicity of 3.
25/4
Remainder = 1
Hence the unit digit of [tex]3^{25[/tex] will be 3.
Unit digit of 325 is 5.
Add 5 + 3
= 8
Hence the unit digit will be 8.
Option E is correct .
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find the domain for 5/x2-9
Answer:
x > -3 or -3 < x < 3 or x > 3
Step-by-step explanation:
[tex]x^{2}[/tex] - 9
= (x + 3)(x - 3)
the undefined singularity points are at x = 3 and x = -3
x > 3 or x > -3
Which angles are complementary?
Solve for x. Round all answers to the nearest tenth.
9
X
12
Answer:
I hope im right so so sorry if im not
Step-by-step explanation:
first find area
1/2 bh
1/2 of base times height
bh=(9)(12)=108
if there is a right angle then that is 90°
so do 108° -90° which is 18°
So your answer is 18°
The solution is, the value of x = 36.87.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
from the given figure,
we get,
height = 9
base = 12
by, using the trigonometric relations,
we get,
tan x = 9/12
or, tan x = 0.75
or, x = 36.87
Hence, The solution is, the value of x = 36.87.
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What is the value of S
Please help
Please No xtiny URLs
Answer:
s=89
Step-by-step explanation:
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
Regis was competing on a game show, and he ran into a losing streak. First, he bet half of his money on one question and lost it. Then he lost half of his remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. Finally, he got a question right and won $200. At this point, the show ended, and he had $1,200 left. How much did he have before his losing streak began
Answer:
$9200
Step-by-step explanation:
Given :
Working backwards :
Amount left before last $200 winning = $1200 - $200 = $1000
Amount had before 4th bet loss : $1000 * 2 = $2000
Amount lost on third bet loss = $300
Total amount had before 2nd bet loss = $(2000 + 300) = $2300
Amount had before second loss = 2 * 2300 = $4600
Amount had before first bet loss = $4600 * 2 = $9200
Hence, amount had before starting to lose games is $9200
To the nearest tenth of a second, how long will it take the arrow to hit the ground?
Answer:
0.6
Step-by-step explanation:
Complete the sentence.
32% of 25 is
I need all the help I can get!
Answer:
8
Step-by-step explanation:
[tex]\frac{y}{25}= \frac{32}{100}[/tex]
y × 100 = 32 × 25
100y = 800
100y ÷ 100 = 800 ÷ 100
y = 8
Here is a formula for most percentage problems.
NEDD HELP ASAP PLEASEEEEEEEEEEEE :/
I’ll mark as BRANLIEST!!
30 POINTS!!
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}[/tex]
I would love for someone to help me with this.
Answer:
5x + 3y = 12
Step-by-step explanation:
We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).
Parallel lines have the same slope. The slope of the given line is determined by the coefficients 5 and 3 visible above. Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.
Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining: 5(3) + 3(-1) = C. Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is
5x + 3y = 12
I need someone too answer this for someone
Answer: C
Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
Use the table to find the value of the following.
Sin117°
Answer:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
Step-by-step explanation:
Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:
[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]
[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]
By information form table we find that:
[tex]\sin 63^{\circ} \approx 0.8910[/tex]
Therefore, we conclude that value of the given angle is:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared
Answer:
D- x^2
Step-by-step explanation:
Just did the practice edge. 2021
For a given function, y is inversely proportional to x.
Option A is correct.
What is function?A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.
A function is a special type of relation where every input has a unique output.
A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.
Given function
y = [tex]\frac{1}{x^{2} }[/tex]
If x = 1, y = [tex]\frac{1}{1^{2} }[/tex] = 1
If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111
If x is changing, y is also changing.
x is in denominator.
So, it means inversely proportional.
Y is inversely proportional to x.
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PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
Please help me I will give you brainliest
ok here you go its B
Function operations
Find the measures of the numbered angles in each kite.
Answer:
x = 9°
y = 26°
Step-by-step explanation:
4x + 6x = 90
10x = 90
x = 9
y + 7(9) +1 = 90
y + 64 = 90
y = 26
Find the slope of the line that contains the points (6, 5) and (8,7)
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is
y¹-y²
-----
x¹-x²
y¹ and x¹ can be either of the points.
So let's make it (6,5)
This means that y² and x² will be (8,7)
The equation will be
5-7d -2
----- = ---
6-8 -2
which can be simplified to 1 by divied both by -2
For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line?
Answer:
he can run 24240 kilometers
Step-by-step explanation:
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
Find the surface area on a pyramid 12cm 7cm 7cm
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
Find the area of the shaded region
9514 1404 393
Answer:
112 ft²
Step-by-step explanation:
The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.
shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')
shaded area = 112 ft²
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study
Answer:
Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
Step-by-step explanation:
A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104
Answer:
The pvalue of Z when X = 104.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.