Step-by-step explanation:
domain = {-7, -3, 1}
range ={-8, -5, 7, 8}
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapoah College. You take a simple random sample of 53 people from Gorka and compute an average age of 21.2 (years) and a standard deviation of 1.1. Then you take a simple random sample of 46 students from Yapoah College and compute an average age of 20.7 and a standard deviation of 1.2.
Compute the t-statistic for testing the alternative hypothesis that the average age of Gorka students is greater than the average age of Yapoah students (set things up so that t is positive).
What are the degrees of freedom (using the conservative method)?
What is the P-value?
Is there significant evidence at the 0.05 level to support the hypothesis that the average age of Gorka students is higher than for Yapoah?
Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 > μ2
Given :
x1 = 21.1 ; n1 = 53 ; s1 = 1.1
x2 = 20.7 ; n2 = 46 ; s2 = 1.2
The test statistic :
(x1 - x2) / √[(s1²/n1 + s2²/n2)]
(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]
0.4 / 0.2326682
Test statistic = 1.719
The degree of freedom using the conservative method :
Comparing :
Degree of freedom = n - 1
Degree of freedom 1 = 53 - 1 = 52
Degree of freedom 2 = 46 - 1 = 45
Smaller degree of freedom is chosen ;
The Pvalue from Test statistic, using df = 45
Pvalue = 0.0462
Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.
what is the area of the rectangle?
answers: 120 m
120 m2
120m3
120 cubic meters
top of the rectangle: 12 m
bottom of the rectangle:12 m
side of the rectangle: 10 m
side of the rectangle:10 m
Answer:
B
Step-by-step explanation:
Area = L * W
L = 12 m
W = 10 m
Area = 12 m * 10 m
Area = 120 m^2
Answer;
A. 120m²
Step-by-step explanation:Given That :-
Length of rectangle = 12mWidth of rectangle = 10mTo find :-
Area of rectangle.Solution :-
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \sf Length = 12m\: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf \: Width = 10m \end{gathered}\end{gathered} \end{gathered} \end{gathered}[/tex]
The area of a rectangle is equal to the length times the width.
Length × WidthSubstitute the values of the length l =12 and width w = 10 into the formula for the area of a rectangle.
12m × 10mMultiply 12m by 10m
12m × 10m= 120m²Hence, Area of rectangle is 120m² which means option A. is correct answer.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 g and a standard deviation of 0.325 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 48 cigarettes with a mean nicotine amount of 0.918 g. Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 32 cigarettes with a mean of 0.917 g or less.
P(M < 0.917 g) = __________
Answer:
P(M < 0.917 g) = 0.1611.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 0.974 g and a standard deviation of 0.325 g.
This means that [tex]\mu = 0.974, \sigma = 0.325[/tex]
Sample of 32:
This means that [tex]n = 32, s = \frac{0.325}{\sqrt{32}}[/tex]
Fnd the probability of randomly selecting 32 cigarettes with a mean of 0.917 g or less.
This is the p-value of Z when X = 0.917. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.917 - 0.974}{\frac{0.325}{\sqrt{32}}}[/tex]
[tex]Z = -0.99[/tex]
[tex]Z = -0.99[/tex] has a p-value of 0.1611.
So
P(M < 0.917 g) = 0.1611.
add negative 4 plus negative 6
-10
thats it, thats what i know
Help Me Pls i need it now
Nonsense = Report
Answer:
8,6,3, v= 144
4,8,6, v=192
15,10,6, v=900
Step-by-step explanation:
Answer:
This geometric questions are very very simple let's start to solve all steps
Step-by-step explanation:
L means long of Prism and look at 8 and 6 for first prism. Which one is longest of course 8
w means wide =6
h means high=3 and
V means Volume: You must multiply by 3, 6,8 to find volume, so we can say Volume 3*6*8=144 easily
PLEASE HELPPPPP ASAP
A function is shown in the table.
x g(x)
−3 17
−1 −3
0 −4
2 13
Which of the following is a true statement for this function?
The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.
Answer:
it's the last one, the function is decreasing from x=-3 to x=-1
Complete the point-slope equation of the line through (-5,7) and (-4,0)
y-7=?
Given m n, find the value of X.
Answer:
x = 62
Step-by-step explanation:
62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
Which of the following pairs consists of equivalent fractions? .4/6 and 3/5 or 9/16 and 3/32 or 18/48 and 15/40 or 7/10 and 10/7
Answer:
18/48 and 15/40
Step-by-step explanation:
18/48 = 3/8
15/40 = 3/8
•°• 18/48 is equivalent to 15/40
An angle measures. What is the measure of its complement? (b) An angle measures 48 . What is measure 26 of its supplement?
Describe the process for taking a set of data and creating a circle graph from it.
Answer:
Step-by-step explanation:
A circle chart can be referred to as a pie chart. This is a chart that expresses each fraction of total data in degrees.
The set of data given is summed so as to determine the total value. Then each data in the set is expressed as a ration of the total value, which is multiplied by [tex]360^{o}[/tex]. This is to determine the degree of angles that represent each data in the data set. These angles in degrees can now be used to divide the sum of angles in a circle into wedges.
With each wedge in the circle showing the fractional relationship between each data and the total value in degrees.
Plz help 1+1 PLZ SEND ANSWER
Answer:
2
Step-by-step explanation:
The triangle has area of 72cm^2 and base of 18cm find the perpendicular height of the triangle
Answer:
The height is 8 cm
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
72 = 1/2 (18)h
72 = 9h
Divide each side by 9
72/9 = 9h/9
8 = h
The height is 8 cm
Answer:
8cm
Step-by-step explanation:
let y represent height
Area of a triangle=½base×height=72cm²
72cm²=½×18cm×y
72cm²=9cmy
72cm²/9cm=9cmy/9cm
8cm=y
This question difficult and i need some help would anyone please help me
Answer:
x = 30
F = 130
G = 50
Step-by-step explanation:
f and g are supplementary which means they add to 180
5x-20 + 3x - 40 = 180
Combine like terms
8x - 60 = 180
Add 60 to each side
8x-60+60 = 180+60
8x = 240
Divide by 8
8x/8 = 240/8
x = 30
F = 5x -20 = 5*30 -20 = 150 -20 = 130
G = 3x-40 = 3*30 -40 = 90-40 = 50
Answer:
Because a straight line = 180, we can find x like this :
(5x - 20) + (3x - 40) = 180
Step 1 - collect like terms
8x - 60 = 180
Step 2 - Move terms around to isolate x
8x = 180 + 60
Step 3 - Divide both sides by 8
x = 30
Now you can find the value of the angles by plugging in x
∠f = (5 x 30) - 20
= 130 degrees
∠g = (3 x 30) - 40
= 50 degrees
We can check to see if this works by adding them up
130 + 50 = 180, so this is correct
Hope this helps! I would really appreciate a brainliest if possible :)
Write the indicated event in set notation.When four coins are tossed, the first three tosses come up the same.[Hint: when four coins are tossed, the following 16 outcomes are possible:HHHH HHHT HHTH HHTTHTHH HTHT HTTH HTTTTHHH THHT THTH THTTTTHH TTHT TTTH TTTT ]a. (HHH, TTT) b. (HHHT, TTTH) c. (HHHT, TTTH, HTTT, THHH) d. (HHHH, HHHT, TTTH, TTTT)
Answer:
[tex]Outcomes = \{HHHH, HHHT,TTTH, TTTT\}[/tex]
Step-by-step explanation:
Given
[tex]S = \{HHHH, HHHT, HHTH, HHTT,HTHH, HTHT, HTTH, HTTT, THHH, THHT,[/tex]
[tex]THTH, THTT,TTHH, TTHT, TTTH, TTTT\}[/tex]
Required
The outcomes where the first three tosses are the same
To do this, we list out the outcomes that the first three are HHH or TTT.
So, we have:
[tex]Outcomes = \{HHHH, HHHT,TTTH, TTTT\}[/tex]
Which step in the solution contains the first error ?? Please helpp
Answer:
step 4 I believe
Step-by-step explanation:
emma can read 4 pages of a book in 8 minutes how many pages can she read per minute if she still had it 24 pages how many pages are there in the book
Answer:
Emma can read 30 pages per minute
Number of book pages 28
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRANLIEST!!!!!!!!!!!!
Answer:
1. zero
2. seven over eight
3. one over three
4. one
5. one over two
PLEASE GIVE BRAINLYIST!!
Insert a digit to make numbers that are divisible by 24 if it is possible: 83...8
plz i need help fast
Answer:
2
Step-by-step explanation:
8328÷24=347
hope this is helpful
Any help 13 points
If the price of tacos is $1.75, how many will consumers buy?
Answer:
B-100 If the price of tacos is $1.75, th consumers will buy 100 tacos
What is f(-2) for f(x)=(1/2)x^2
Answer:
[tex]{ \bf{f(x) = \frac{1}{2} {x}^{2} }} \\ \\ { \tt{f( - 2) = \frac{1}{2} {( - 2)}^{2} }} \\ = 2[/tex]
What is the output of the following function for x=2
F(x)= 2x^4-x^3+5x-9
Answer:25
Step-by-step explanation:
Noel and Casey both start at the same place. Noel walks due south and Casey walks due east. After some time has passed, Noel is 6 miles south and Casey is 8 miles east. At this time, Noel is walking at a rate of 2 mph and Casey is walking at a rate of 1 mph. How fast is the distance between them increasing at this time
Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel
[tex]n_1 =6miles[/tex]
[tex]r_1 = 2mph[/tex]
Casey
[tex]c_1 = 8miles[/tex]
[tex]r_2 =1mph[/tex]
Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]
The distance between them is:
[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]
[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]
[tex]d_1 = \sqrt{100}[/tex]
[tex]d_1 = 10miles[/tex]
After 1 hour, their new position is:
New = Old + Rate * Time
[tex]n_2 = n_1 + r_1 * 1[/tex]
[tex]n_2 = 6 + 2 * 1 = 8[/tex]
And:
[tex]c_2 = c_1 + r_2 * 1[/tex]
[tex]c_2 = 8 + 1 * 1 = 9[/tex]
So, the distance between them is now:
[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]
[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]
[tex]d_2 = \sqrt{145}[/tex]
[tex]d_2 = 12.04[/tex]
The rate of change is:
[tex]\triangle d = d_2 -d_1[/tex]
[tex]\triangle d = 12.04 -10[/tex]
[tex]\triangle d = 2.04[/tex]
Susan uses the function p(x) = 4x to determine the perimeter of a square when she knows the side length, x. Which statements are true about the function?
The perimeter is the dependent variable.
The length of the side of the square is the dependent variable.
The value of p(x) depends on the value of x.
The length of the side of the square is the independent variable.
The value p(x) can be found by multiplying p by x.
The perimeter is the independent variable.
Answer:
Step-by-step explanation:
The perimeter is the dependent variable. TRUE
The length of the side of the square is the dependent variable. FALSE
The value of p(x) depends on the value of x. TRUE
The length of the side of the square is the independent variable. TRUE
The value p(x) can be found by multiplying p by x. FALSE
The perimeter is the independent variable. FALSE
solve for x in the equation 9- x/4=2
Answer:
9-x/4=2
[tex] \frac{36 - x}{4} = 2[/tex]
[tex]36 - x = 2 \times 4[/tex]
[tex]36 - x = 8[/tex]
[tex] 36 - 8 = x[/tex]
[tex]28 = x[/tex]
[tex]x = 28[/tex]
9 - x/4 = 2
(36 - x)/4 = 2
36 - x = 8
36 - 8 = x
x = 28
I hope you understand...
Mark me as brainliest...
Write the equation of the line passing through the point (6,-9) with slope -5/6.
Answer:
The equation is y = -5/6 x-4
Step-by-step explanation:
The equation of a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -5/6 x+b
Substitute in the point
-9 = -5/6(6) +b
-9 = -5+b
Add 5 to each side
-4 = b
The equation is y = -5/6 x-4
Find Trig Ratios (with Radicals)
Answer:
the answer is 45 + 5-75 is equals to 30 +5
What is the 100th term of 1, 6, 11, 16
Answer:
496
Step-by-step explanation:
a+99d
1+ 99 (5)
1+ 495
Find f(5) for f(x)-1/9(3)*
O A. 27
O B. 81
O C. 9
O D. 3
approximate 10.54 to the nearest ten
Answer:
11 because <.5 is rounded to the next ten