Answer:
A) 0.0088
B) 0.2997
C) 5
Step-by-step explanation:
Given: Mean: Ч = 79 minutes
Standard deviation : б = 8 minutes
The formula for z score:
z= x-ц/σ
a) For x=60 minutes
z= 60-79/8 = -2.375
The p-value = P(z< -2.375) = 0.0087745 ≈ 0.0088
b) For x= 75 minutes
z= 75-79/8 = -0.5
The p-value = P(60 < x < 75) = P (-2.375 < z < -0.5)
= P(-0.5)-P(-2.375)= 0.3085 -0.0088 =0.2997
c) For x=90 minutes
z= 90-79/8 = 1.375
The p-value = P (z > 1.375)= 1-P(z < 1.375)
= 1-0.9154342 = 0.0845658
If the number of students in the class=60.
Then, the number of students will be unable to complete the exam in the alotted time = 0.0845658 x 60 = 5.073948 ≈ 5
I have 6 congruent faces.
Answer: The best choice from the provided options is the "Cube".
Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.
kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?
Answer:
$3.25 per gallon
Step-by-step explanation:
Answer: he paid 3.25 for each gallon
Step-by-step explanation:
Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25
Please help me!
What is the volume of the prism below?
2 3/4 units3
3 1/2 units3
5 units3
8 units3
Answer:
Step-by-step explanation:
Answer:
3 1/2 units cubed.
1 3/4 · 1 · 2 = 3 1/2
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?
Find the t-table here.
(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)
Answer:
(5.097, 7.404)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6849
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours
The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.
The answer is (5.097, 7.404)
helppp i’ll give brainlest
Answer:
16square ft
Step-by-step explanation:
2x2+2x3x1/2x4=16 square ft
Area of base: 2x2
Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3
PLEASE HELP THIS IS DUE I HAVE BEEN TRYING AND DONT UNDERSTAND IT!!!!
Answer:
Step-by-step explanation:
Moving a coordinate left will subtract from the x coordinate (left 3 means subtract 3 from x coordinate)
Moving a coordinate right will add to the x coordinate (right 3 means add 3 to x coordinate)
Moving a coordinate down will subtract from the y coordinate (down 3 means subtract 3 from y coordinate)
Moving a coordinate up will add to the y coordinate (up 3 means add 3 to y coordinate)
Reflect means flip the sign of the corresponding coordinate
reflect over x axis flip the sign of x coordinate
reflect over y axis flip the sign of y coordinate
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
What is the solution to the equation shown on the number line?
Answer:
B
Step-by-step explanation:
x-4=18
+4 +4
x=22
Answer:
22
Step-by-step explanation:
X-4 =18
So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer
So 22-4 = 18
In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. Use the given preliminary estimate to determine the sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02. (Round your answer up to the nearest integer.)
Answer:
The sample size required is of 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.
This means that [tex]\pi = 0.4[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.
The sample size required is of n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]
[tex]n = 2304.96[/tex]
Rounding up
The sample size required is of 2305.
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
Which of the following values of f are solutions to the inequality below?
Select all that apply.
f≥ -5
Answer:
-4
Step-by-step explanation:
When solving a system of equations algebraically, which statement results in no solution?
Answer:
all of these
0 does not equal 1
4 does not equal 7
2 does not equal -2
-3 does not equal 3
All of the given equations have no solution.
What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -
ax + by + c = 0
dx + ey + f = 0
We have the given system of linear equations that has no solutions.
For no solutions, the final equation should be of the form -
α = β
where [α] and [β] are constant integers.
So all the equations result in no solution.
Therefore, all of the given equations have no solution.
To solve more questions on system of equations, visit the link below-
brainly.com/question/1126982
#SPJ2
the white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends. On Monday he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day. on what day of the week does he arrive just 15 seconds late
Answer:friday
Step-by-step explanation:
On Monday of the week does he arrive just 15 seconds late.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends
Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day.
On Monday he arrives 16 minutes late.
On Tuesday he arrives 8 minutes late.
On wednesday he arrives 4 minutes late.
On Thursday he arrives 2 minutes late.
On Friday he arrives 1 minutes late.
On Saturday he arrives 30 seconds late.
Sunday is a weekend.
On Monday he arrives 15 seconds late.
Hence, On Monday of the week does he arrive just 15 seconds late.
To learn more on Sequence click:
https://brainly.com/question/21961097
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-6(2p + 1) = -7p - 31
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
please help if anyone knows this!:)
Answer:
d
Step-by-step explanation:
because the 15ft length is the same as x
3. A lemonade recipe calls for 1 cup each of sugar and lemon juice and 8 cups of water
Answer:
what exactly are we solving
Step-by-step explanation:
The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
A) Define the variables.
B) Write a systems of equations for the situation.
C) Graph the system.
Answer:
C
Step-by-step explanation:
Hope this help and have a nice day
HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?
Answer:
The answer is 110 miles
Step-by-step explanation:
make me the brainliest plz
What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2
Answer:
C
Step-by-step explanation:
slope intercept is y=mx+b
The y-intercept is at 2 so b=2.
The slope is rise/run, equaling -3
so y= -3x+2
Find the value of x, then classify the quadrilateral
1) Find the value of x
2) Classfy the quadrilateral
Answer:
1) 49 degrees
2) It is a trapezoid
Step-by-step explanation:
1) the angles of a quadrilateral are 360 degrees, 78 + 102 + 132 + ? = 360
312 + ? = 360
? = 48
Can anyone please answer the probability questions?
Step-by-step explanation:
Answer 1 - the probability of getting miss a turn is 1/5 because there is only one chance of getting miss a turn out of 5......
I hope it helps.....
Suppose a caravan (5 cars) travels 100 km, beginning in front of one tollbooth, passing through a second tollbooth, and nishing just after a third tollbooth. The distance between two tollbooths is 50 km. Each car takes 12 sec to serve. The tollbooth starts to serve the caravan when the entire caravan is lined up. The caravan can only dispatch a tollbooth after all cars in the caravan are served. What is the end-to-end delay (from when the caravan is lined up before 1st tollbooth till the caravan is served by the 3rd tollbooth)
Answer:
1 hr 2 min 30 secs
Step-by-step explanation:
Assume Propagation speed = 100 km/hr
number of cars = 5
distance between booths = 50 km
Total distance = 100 km
take taken to serve each car = 12 secs
Determine the end to end delay
first calculate the propagation delay = Total distance / propagation speed
= 100 / 100 = 1 hr
next calculate : Time taken to serve 5 cars in each Tollbooth
= 5 * 12 secs = 60 secs
Next calculate : transmission delay ( time taken by three tollbooth to reach 5 cars )
= 60 secs * 3 = 180 secs = 2 min 30 secs
therefore end-end delay
= propagation delay + transmission delay
= 1 hr 2 min 30 secs
In the following diagram,
ℓ
∥
m
.
Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.
Answer:
w = 94 degrees
x = 105 degrees
y = 75 degrees
z = 86 degrees
Step-by-step explanation:
The 75 degree angle + x = 180 degrees, because together they form straight line. They are supplementary angles.
180 - x = 75
x = 105 degrees
The 86 degree angle and z are equal, because they are vertical angles...they share a vertex. So z = 86 degrees
In some of the other problems we've looked at together, we've talked about corresponding angles. Angles in the same position on the next parallel line, cut by a transversal. The angle right above x, where p intersects l, corresponds to y. I've called it Y' in the picture I'm attaching.
So if the 75 degree angle is equal to its vertical angle, Y', which is equal to its corresponding angle of y. y = 75 degrees
Using all of what's here about supplementary angles and corresponding angles, you know that the two angles in the z/86 degree area are 94 degrees. (180 - 86 = 94) Which means w and its vertical angle are also 94 degrees. w = 94 degrees.
I'm sorry this is so wordy. I don't want it to be confusing for you. I am hoping I can help you understand enough so these problems don't stress you out :) I have circled vertical angle pairs (about half of them) in pink. I have circled the supplemental angle pairs (about half of them) in purple.
HELP ME PLEASE IT WOULD BE NICE
Answer:
90 degre i cant wright the small o thing but is 90
Step-by-step explanation:
27
The diagram shows a right-angled triangle and a quarter circle.
D
9 m
А
6 m
B.
The right-angled triangle ABC has angle ABC = 90°
The quarter circle has centre C and radius CB.
Work out the area of the quarter circle.
Give your answer correct to 3 significant figures.
You must show all your working.
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A = [tex]\frac{1}{4}[/tex] × πr² = [tex]\frac{1}{4}[/tex] × π × 45 ≈ 35.3
Evaluate the following Piecewise Function.
Please sturggeling
Answer:
[tex]f(0)=4[/tex]
[tex]f(6) = 8[/tex]
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
[tex]f(x) = x + 4[/tex]
Because: the inequality [tex]x < 5[/tex] satisfies x = 0
i.e: [tex]0 < 5[/tex]
So, we have:
[tex]f(x) = x + 4[/tex]
[tex]f(0)=0 + 4[/tex]
[tex]f(0)=4[/tex]
Solving (b): f(6)
To solve for f(6), we make use of:
[tex]f(x) = 8[/tex]
Because: the inequality [tex]5 \le x < 7[/tex] satisfies x = 6
i.e: [tex]5 \le 6 < 7[/tex]
So, we have:
[tex]f(6) = 8[/tex]
What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.
Answer:
The distance is 5.4.
Step-by-step explanation:
Hope this helps!! Have an Amazing day!!
Answer:
5.385
Step-by-step explanation:
Use the distance formula with (-6,2) (-4,7)
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]
[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]
[tex]\sqrt{(2^2) + (5^2)}[/tex]
[tex]\sqrt{4+25}[/tex]
[tex]\sqrt{29}[/tex]
= 5.385
Can someone help me out pls.
What was done to the previous equation?
A) 2x – 10. <--original equation
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2
Ok ill answer the question but do you want me to evaluate it or find it to the simplest form ?
If you work 7 miles from your home and work 5 days a week, how many miles do you travel for work each week?
The edge of each cube used to build this rectangular prism is 1/4 centimeter long. Which equation shows the volume of the prism, in cubic centimeters?
Answer:
jus trynna get points
Step-by-step explanation: