Answer:
20
Step-by-step explanation:
1 being the first number you then approximate to 2 cause 16 is larger than 5
afterwards round the 6 down to 0
therefore the answer is 20
A researcher is concerned about the impact of students working while they are enrolled in classes, and she likes to know if students work too much and therefore are spending less time on their classes than they should be. The researcher chooses a sample of 150 students and found that the sample mean is 7.10 hours and the sample standard deviation is 5. Construct a 90% confidence interval estimate of the mean hours a week students are working. a. What is the point estimate: _____________b. Find the critical value: ________________ Round to 3 decimal places. c. What is the margin or error: __________________ Round the answer to three decimal places d. Construct the confidence interval: Express the answer as (x,x), ______________ round to one decimal place. e. State the final Conclusion.
Answer:
(a) Point estimate = 7.10
(b) The critical value is 1.960
(c) Margin of error = 0.800
(d) Confidence Interval = (6.3, 7.9)
(e) We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
Step-by-step explanation:
Given
[tex]\bar x = 7.10[/tex] -- sample mean
[tex]\sigma=5[/tex] --- sample standard deviation
[tex]n = 150[/tex] --- samples
Solving (a): The point estimate
The sample mean can be used as the point estimate.
Hence, the point estimate is 7.10
Solving (b): The critical value
We have:
[tex]CI = 90\%[/tex] --- the confidence interval
Calculate the [tex]\alpha[/tex] level
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1 - 90\%[/tex]
[tex]\alpha = 1 - 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Divide by 2
[tex]\frac{\alpha}{2} = 0.10/2[/tex]
[tex]\frac{\alpha}{2} = 0.05[/tex]
Subtract from 1
[tex]1 - \frac{\alpha}{2} = 1 - 0.05[/tex]
[tex]1 - \frac{\alpha}{2} = 0.95[/tex]
From the z table. the critical value for [tex]1 - \frac{\alpha}{2} = 0.95[/tex] is:
[tex]z = 1.960[/tex]
Solving (c): Margin of error
This is calculated as:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.960 * \frac{5}{\sqrt {150}}[/tex]
[tex]E = 1.960 * \frac{5}{12.25}[/tex]
[tex]E = \frac{1.960 *5}{12.25}[/tex]
[tex]E = \frac{9.80}{12.25}[/tex]
[tex]E = 0.800[/tex]
Solving (d): The confidence interval
This is calculated as:
[tex]CI = (\bar x - E, \bar x + E)[/tex]
[tex]CI = (7.10 - 0.800, 7.10 + 0.800)[/tex]
[tex]CI = (6.3, 7.9)[/tex]
Solving (d): The conclusion
We are 90% confident that the average number of hours worked by the students is between 6.3 and 7.9
A line of best fit....?
a) must pass through the median of the data
b) must pass through the origin
c) represents the trend of the data
d) must have a positive slope
If there was a total of 80 vehicles an a percentage of 70% of cars how much car was used
Answer:
56
Step-by-step explanation:
I don't quite understand your question but I assumed you meant what is 70% of 80
What is the answer and how did you get it
answer is 200 lol pretty easy
Answer:
He sold 200 loaves
Step-by-step explanation:
if he sells twice as many the next week the equation would be
100 times 2 = x
therefore, the answer is 200
Help please? Not good at math :(
Answer:
see below
Step-by-step explanation:
a = -2 b = 4 c = -8
b^2 - 4ac
4^2 - 4( -2) (-8)
16 - (64) Three negatives multiplied together is negative
-48
Since this is negative there are no real solutions ( 2 complex solutions)
Find the midpoint of the line segment with end coordinates of:
(-4,-2) and (-2, -10)
Step-by-step explanation:
let the midpoint be (x,y) so
(x,y)= (-4-2/2, -2-10/2)
= (-3 -6)
Jaclyn estimates that the square root of 50 in the following way:
[tex]\sqrt{50[/tex] = [tex]2 \sqrt{25[/tex] = 2 * 5 = 10
Explain why her reasoning is incorrect. Please use complete sentences.
[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]
Error made by Jaclyn ⤵
[tex] \sqrt{50} [/tex]
[tex]\sf\red{=\:2√25}[/tex] ❌
Correct way to solve it ⤵
[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
A counter in Spencer's kitchen is 4 feet wide and 8 feet long. Spencer wants to replace the
counter with a granite countertop, which would cost $19.00 per square foot. How much would
the granite countertop cost?
Answer:
The granite countertop will cost $ 608.
Step-by-step explanation:
Given that a counter in Spencer's kitchen is 4 feet wide and 8 feet long, and Spencer wants to replace the counter with a granite countertop, which would cost $ 19.00 per square foot, to determine how much would the granite countertop cost the following calculation must be performed:
(4 x 8) x 19 = X
32 x 19 = X
608 = X
Therefore, the granite countertop will cost $ 608.
what is the diameter radius are and circumference of this circle
Answer:
d = 1.59 c = 5
Step-by-step explanation:
The formula to calculate the area of a circle is
A = π r ^2
This means that if r = 5 cm, the area is
A = 5^2 π cm ^2 = 25 π cm^ 2 ≈
78.539816 cm^ 2
The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.
Answer:
The answer is 14.
Step-by-step explanation:
All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.
UHHH HELP ME !!
**
Which description is paired with its correct expression?
5
VX
4-
P
+3
O four less than the quotient of a number cubed and seven, increased by three;
O five times the difference of a number squared and six; 5(6-n")
-4.
O nine more than the quotient of six and a number cubed, decreased by four;
9+
twice the difference of nine and a number squared; 2 (9_n? )
Answer:
the last option is the correct answer
what is the solution to the equation below sqrt x-2 = x-22
Answer:
√27-2 =27-22
√25. =5
the answer is option B
x=27
Answer:
option B : x = 27
Step-by-step explanation:
What is the arc length if θ = 2 pi over 3 and the radius is 4 cm?
8 pi over 3
16 pi over 3
pi over 6
3 pi over 4
will give brainiest
my answer is in the image above
Answer:
8 pi/3
Step-by-step explanation:
The arc length is equal to the radius times the angle ( given in radians)
s = r theta
s = 4 *(2 pi /3)
s = 8 pi/3
What is the slope of the line that passes through the points (3,4) and (0,-2)
Answer:
slope of a line is 2/3
Step-by-step explanation:
the coordinate points are:
(3,4)=(x1 , y1)
(0,-2)=(x2 , y2)
slope=y2 - y1/x2 - x1
=-2-4/0-3
=-2/-3
=2/3
Find each difference. (10 Points!)
Answer:
1. -6y^4 +4y^2 -12
2. x - 19
Step-by-step explanation:
1.
(6y^4+3y^2-7) - (12y^4-y^2+5)
= -6y^4+ 4y^2- 12
2. 3(x-5) - (3x+4)
= (3x-15) - (3x+4)
= x-19
Find the value of x.
Answer:
B. x=4
Step-by-step explanation:
It should be the short front length times the total length of the tangent.
6(16)=8(8+x)
96=64+8x
32=8x
4=x
The value of the variable x is 7.5. Option D
How to determine the valueA line that touches the circle at a single point is known as a tangent to a circle.
The point where tangent meets the circle is called point of tangency. The tangent is perpendicular to the radius of the circle, with which it intersects.
From the information given, we have that;
10(6) = 8(x)
expand the bracket, we get;
60 = 8x
Now, divide both sides by the coefficient of x, we get;
x = 60/8
Divide the values
x = 7.5
Learn about tangents at: https://brainly.com/question/30162650
#SPJ6
Which values of x and y will make this
quadrilateral a parallelogram?
Answer:
X = 6
y = 4
Step-by-step explanation:
jackie wants to learn more about local college. which of the following is a statistical question jackie could ask?
A. does the collage have art classes
B. what is the address of the college
C. how old are the student's
D. does the collage have a women's soccer team
A baseball team has nine players whose weight, in pounds, are
174, 177, 194, 162, 196, 169, 187, 192, 178
Find the median and range of those weights
------
(I have to find the mistake in the student sample below)
174, 177, 194, 162, 196, 169, 187, 192, 178
The median is 196
196 - 162 = 34
The range is 34
HELP ME
The student forgot to sort the values first.
The sorted data set is {162, 169, 174, 177, 178, 187, 192, 194, 196}
Cross off the first four items, and cross off the last four items. You'll find that 178 is the only thing left, so it's right in the middle. This is the median.
Another way to find the median is to notice that there are n = 9 items in the list, so n/2 = 9/2 = 4.5 which rounds to 5 represents the slot number where the median is located. The value 178 is in slot 5. This trick only works if n is odd.
The range is the difference between the min and max, so,
range = max - min = 196-162 = 34
The student got the range part correct.
---------------------
Summary:
Median = 178
Range = 34
The Sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.
Answer:
8 and 17
Step-by-step explanation:
Let the number x and y
Sum of numbers, x + y = 25 -----------( 1 )
One number exceeds other by 9,
that is difference between the numbers is 9, x - y = 9
=> x = 9 + y --------- ( 2 )
Substitute ( 2 ) in ( 1 )
( 9 + y ) + y = 25
2y = 25 - 9
2y = 16
y = 8
Substitute y = 8 in ( 2 ) : x = 9 + y
= 9 + 8 = 17
Therefore the 2 numbers are 8 and 17
Answer:
The answer would be that one number is 8 and the second is 17.
The sum of these two numbers is 25, ad 17 and 8 have a difference of 9
Step-by-step explanation:
What are the missing variables? Plzzzz
Answer:
D. x ≈ 3.3, y = 15.7
Step-by-step explanation:
x = Opposite
y = Adjacent
16 = Hypotenuse
θ = 12°
To find x, we solve using the Trigonometric function of Sine
sin θ = Opposite/ Hypotenuse
x = Opposite
sin 12 = x/16
Cross Multiply
x = sin 12 × 16
x = 3.3265870531
Approximately, x ≈ 3.3
To find y, we solve using the Trigonometric function of cosine
cos θ = Adjacent/ Hypotenuse
y = Adjacent
cos 12 = y/16
Cross Multiply
y = cos 12 × 16
y = 15.650361612
Approximately, y ≈ 15.7
Therefore, x ≈ 3.3, y = 15.7
Option D is correct
Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot, in feet, of the sphere that Samantha will create?
The volume occupied by a 350 pound sphere is 2.33 ft³.
EquationEquation is an expression used to show the relationship between one or more numbers and variables.
Let y represent the weight of the sphere in pounds and x represent the volume in feet³, hence:
y = 150x
For a 350 pounds sphere:
350 = 150x
x = 2.33 ft³
The volume occupied by a 350 pound sphere is 2.33 ft³.
Find out more on equation at: https://brainly.com/question/13763238
In circle H with mZGHJ = 92°, find the angle measure of minor arc GJ
Answer:
x = 92°
Step-by-step explanation:
The angle measure of the central angle is congruent to the measure of the intercepted arc.
Un deposito de agua tiene forma de prisma rectangular con los lados de la base de 25 y 20 metros. Calcula la altura que pueda contener 1000 metros cúbicos de agua
Answer:
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Step-by-step explanation:
Para calcular el volumen de un prisma rectangular, es necesario multiplicar sus 3 dimensiones: longitud*ancho*altura. El volumen se expresa en unidades cúbicas.
En este caso, se conoce la longitud y el ancho, cuyos valores son 25 y 20 metros. A su vez, se sabe que el depósito de agua debe contener 1000 m³. Entonces, siendo:
Volumen= longitud*ancho*altura
Y reemplazando los valores se obtiene:
1000 m³= 25 m* 20 m* altura
Resolviendo:
1000 m³= 500 m²* altura
[tex]altura=\frac{1000 m^{3} }{500 m^{2} }[/tex]
altura= 2 m
La altura del depósito para que pueda contener 1000 metros cúbicos de agua es 2 m.
Write an equivalent expression in expanded form. -1/4(-8x+12)
Answer:
2x - 3
Step-by-step explanation:
The Distributive Property of Multiplication applies here. Multiply each of the two terms inside parentheses by-1/4: 2x - 3
Which best describes the circumcenter of a triangle?
• A. The point where the three angle bisectors of the triangle inters
•
B. The point where the perpendicular bisectors of the three sides
the triangle intersect
• c. The point where the three altitudes of the triangle intersect
D. The point where the three medians of the triangle intersect
Answer:
B
Step-by-step explanation:
Not much to say but that i the definition. You sing the midpoint of each side, make a perpendicular line and see where the three perpendicular bisectors intersect.
A is the incenter, C sounds like the Orthocenter and D sounds like the centroid.
Aside from being able to tell from the parts of the words, you just kinda have to memorize these.
Solve the system of equations by graphing on your own paper. What is the y
coordinate of the solution?
= 2x-1
= -2x+5
Answer: The coordinate of the solution is (0.25,-0.5)
Step-by-step explanation:
the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.
Angle Measurements 1”” degree help find out what’s the other side
Answer:
80 degree
Step-by-step explanation:
missing angle + 100 degree = 180 degree (being co interior angles )
missing angle = 180 - 100
missing angle 80 degree
Which of the above numbers is the value of expression equal to?
3.5x105 +4.0 x106 - 2.0 x104
A. 3.542 x 10^5
B. 7.3 x 10^5
C. 4.15 x 10^6
D. 4.33 x 10^6
E. 4.37 x 10^6
Answer:
D.
[tex]4.33 \times {10}^{6} [/tex]
1. Chandler has a large and varied comic book collection. Of his
collection, 4/5 of the comics are superhero comics. Of those superhero
comics, 2/9 are Arachna-Man comics and 1/8 are Wonderdog comics.
part a. find the fraction of chandler's comic book collection that is made up of aracha-man comics. explain how u found your answer.
PLEASE ANSWER!!
Answer:
8/45
Step-by-step explanation:
Take the fraction that are superhero comics and multiply by the fraction of superhero comics that are Arachna comics
4/5 * 2/9
8/45
