Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Create a table of values that could represent the function f(x) = 3x + 4. Justify your response.
F(x)=3/2 x2-4+C
I looked it up
y
9
30°
х
Find the values of x and y. Write your answers in simplest form.
y =
Answer:
I just know
Step-by-step explanation:
X= 9 square root of 3
Y = 18
The values of {x} and {y} in the given right angled triangle is -
x = 9√3 and y = 18.
What is Pythagoras theorem?Pythagoras theorem states that the square of the hypotenuse is equivalent to the square of the base and perpendicular. We can write the formula for Pythagoras theorem as -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angled triangle as shown in the image.
We can write the tangent function as -
tan(30) = 9/x
x = 9/tan(30)
x = 9√3
Similarly, we can write the sine function as -
sin(30) = 9/y
1/2 = 9/y
y = 18
Therefore, the values of {x} and {y} in the given right angled triangle is -
x = 9√3 and y = 18.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
#SPJ2
What is the value of x?
Answer:
Solution given:
38°=x°+10°[vertically opposite angle]
x°=38°-10°=28°
is your answer
If 40% of a number is 28, find 10% of that number.
Answer: 7
Step-by-step explanation:
HELP DUE NOW BRAINLEST AND A THANKS
Answer:
its c bc it starts at 30
Step-by-step explanation:
Help Plis.......................
Answer:
C
Step-by-step explanation:
Two negative signs make a positive number. So -(-4) makes 4. I know it sounds weird, but thats what schools teach. Hope this helps!
What common base can be used to rewrite each side of the equation
2
3
5
8
Answer:
2.
Step-by-step explanation.
helppppppppppp meeeeeeeeeeee!!!
Answer:
i think it is 3
Step-by-step explanation:
George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time.
What does the slope of the graph represent?
A.
The total distance he has traveled.
B.
George's speed in minutes per mile.
C.
George's speed in miles per minute.
D.
The total distance he has left to travel.
plz get it right
Answer:
There is no graph but I can infer that if time is on the x axis it would be C and if distance is on the x axis it would be B
Step-by-step explanation:
Histogram help!(look at the picture)The histogram below shows the admission cost of some theme parks across the country.How many theme parks have an admission cost between $7 and $22?
12 theme parks
5 theme parks
18 theme parks
8 theme parks
Answer:
12
Step-by-step explanation:
5+7=12
5 have 7-14
7 have 15-22
The final answer is 12
PLEASE I HAVE TO TURN IT IN
What is the slopes of the triangles (I’ll report you if you answer with a link)
Answer:
The slope of the line is 1.
Step-by-step explanation:
The triangles don’t have a slope. They help you find the slope of the line.
slope = rise over run
2/2=1
3/3=1
Whichever triangle you use, the slope of the line is 1.
please help me out I'll give you a virtual high five
Answer:
[tex] \red{ \bold{\frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{4 {x}^{2} - 9 } + \frac{3}{2 {x}^{2} + x - 3} \\ \\ = \frac{2x}{(2 {x})^{2} - {(3)}^{2} } + \frac{3}{2 {x}^{2} - 2x + 3x - 3} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{2 {x}(x - 1) + 3(x - 1)} \\ \\ = \frac{2x}{(2x + 3)(2x - 3)} + \frac{3}{(x - 1) (2x + 3)} \\ \\ = \frac{2x(x - 1)}{(2x + 3)(2x - 3)(x - 1)} + \frac{3(2x - 3)}{(x - 1) (2x + 3)(2x - 3)} \\ \\ \purple{ \bold{ = \frac{2x(x - 1) + 3(2x - 3)}{(2x + 3)(2x - 3)(x - 1)} }}[/tex]
Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4
Answer: b and d
Step-by-step explanation:it IS
what does b equal b=____
9514 1404 393
Answer:
b = 90°
Step-by-step explanation:
Angles a, b, c form a linear angle, so their sum is 180°. This means ...
a + b + c = 180°
b = 180° -(a +c)
Angles 'a' and 'c' are complementary, so their sum is 90°.
b = 180° -90°
b = 90°
__
We can also find the measures of the other angles in this geometry.
a = 90° -c = 90° -56° = 34°
e = c = 56° . . . . . . . . . vertical angles
In summary, ...
a = 34°, b = 90°, c = 56°, d = 124°, e = 56°
Find the solutions of :
-3X + 2 2 14
Give 5 solutions
Answer:
-3(x - 738)
Step-by-step explanation:
-3x+2214
-3x+3 . 738
-3(x-738)
Suppose one serving of Vegetables is 3/4 cup. How many servings are there in 35 cups?
9514 1404 393
Answer:
46
Step-by-step explanation:
The number of servings is ...
(35 cups)/(3/4 cup/serving) = (4/3)(35) servings = 46 2/3 servings
There are 46 full servings of Vegetables in 35 cups.
Two angles in a triangle have measures of 35 and 73
What is the measure of the third angle?
Hello!
This is a question relating the interior angle sum of a triangle.
The interior angle sum of a triangle will be 180 degrees.
Since we are given two angle measures, we can set up an equation to find the unknown angle measure.
[tex]35+73+x=180[/tex]
[tex]x=180-35-73[/tex]
[tex]x=72[/tex]
The third angle's measure is 72 degrees.
Hope this helps!
Answer:
(A) P E X
Step-by-step explanation:
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Equation: 15x-2=11x+34
x=9
Angle: 133
Step-by-step explanation:
15x-2=11x+34
add 2 to both sides
15x=11x+36
-11x to both sides
4x=36
x=9
Answer:
15x-2=11x+34
exaplan
the two-line is parallel
HELP ME ASAP
(THE ANSWER IS ALSO COULD BE NONE)
Answer:
B
Step-by-step explanation:
They have to be the same shape and size so the most probability is B
-what is the area and perimeter of the trapezoid.
-what are the area and perimeter of a trapezoid that is similar to this one but reduced by a linear scale factor of 1/3.
- will give you brainliest if it’s correct
Answer:
I think its 42 can you pls give brainliest I wanna level up RSM SUCKS
Step-by-step explanation:
please help me with this
Answer:
Sorry I don't really now about this questions
(its difficult for me sorry)
Find the area of the polygon.
Answer:
74.5
Step-by-step explanation:
13.5 * 4.5 = 60.75
5.5 * 2.5 = 13.75
60.75 + 13.75 = 74.5
The point (-4, 6) is a solution to which of the following system of
inequalities?
x + 2y > 8 and - 4x – y > 10
x + 2y < 8 and - 4x - y = 10
x + 2y = 8 and - 4x - y s 10
x + 2y = 8 and - 4x – y < 10
Answer:
x + 2y < 8 and - 4x -y = 10
Step-by-step explanation:
make x the subject of the formula then collect like terms then subtract and make them cross the equally sign
The given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
Gvien that,
To determine the system of inequality and equation where point (-4, 6) lies.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
= x + 2y
where x = -4 and y = 6
= -4 + 12
= 8
So it matches with the equation given in option C
Now,
=-4x - y
Substitute the point
= -4 × -4 - 6
= 16 - 6
= 10
So it matches with the equation given in option C
Thus, the given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
Learn more about inequality here:
brainly.com/question/14098842
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What is the probability of gettting a odd number out of 1 2 3 4
Answer:
0.5
50%
1/2
Step-by-step explanation:
pls help me giving brainless. find all angle measures. Assume each truss is symmetric. All of the roofs have a total top peak angle of 120 degrees
Answer:
Pls mark me branliest
Water freezes at 0 °C. If water at 97 °C is cooled at a rate of 6 °C per minute, will it be frozen in 16 min? Show a mathematical statement and all your work.
Answer:
No. (work in the step by step explanation)
Step-by-step explanation:
Find out how many degrees it will drop in 16 mins.
1 minute = 6°C
16 mins = 6 x 16 = 96°
97 - 96 = 1°C
Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?
Answer:
The answer is "40 second".
Step-by-step explanation:
Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.
[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]
Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.
The picture shows a carousel. The carousel spins while the horses move up and down. A student determines to
each horse completes one up-down cycle in 30 seconds. The student rides a horse on the carousel for 2 minute
which equals 120 seconds.
raal
Answer:
4 times
Step-by-step explanation:
Note,
60 seconds = 1 minute120 seconds = 2 minutes (60*2).Since the student rode a horse for 120 seconds, to find the number of times the student riding the carousel completed the up-down cycle, we divide it by 30 seconds (which is the duration for the horse to complete one up-down cycle) because the student would be having the same duration as the horse because he was on top the horse.
Hence, we have;
120/30 = 4
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
Determine if each statement is True or False. If False, determine what needs to be
changed to make the statement True.
a. In 5x - 8,5 is the constant.
b. In x - 6.5, x is the variable.
C. In 9y + 38, 38 is the constant.
Answer:
a. False. A constant is a number on it's own, and 5 would be the coefficient of x. 8 would be the constant.
b. False. -6.5 would be the constant, since it's on its own. But actually, x would be carrying on a coefficient of 1. Letters are variables, not constants.
c. True.