kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
What is the airplane's unit rate of speed in miles per hour?
Answer:
450 miles per hour
Step-by-step explanation:
Kelly flies at a distance of 2,100 miles
The time taken for the trip is 4 2/3 hours
Therefore the rate of speed can be calculated as follows
= 2,100 ÷ 4 2/3
= 2,100 ÷ 14/3
= 2100 × 3/14
= 150 × 3
= 450 miles per hour
Answer:
450
Step-by-step explanation:
A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% confidence interval for the average home of this size in Newberry.
A. (144885.25, 194914.75).
B. (150440.842, 189359.16).
C. (150830, 188969.98).
D. (142886, 196914).
Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.
In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.
Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.
The margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In this case:
[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].
[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].
Thus, the correct option is D. (142886, 196914).
A similar problem is given at https://brainly.com/question/15180581
-5n - 2 =38.... how dobi solve this problem and show my work
Answer:
[tex] \boxed{ n =- 8}[/tex]
Step-by-step explanation:
[tex]-5n - 2 =38 \\- 5n = 38 + 2 \\ -5n = 40 \\ n = -\frac{40}{5} \\ \boxed{ n =- 8}[/tex]
♨Rage♨
Answer:
Today: Friday, 06 November 2020
Hour: 09.42 WIB (Indonesia)
_______________________________
-5n - 2 = 38
-5n = 38 + 2
-5n = 40
n = 40/-5
n = -8
e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.
Answer:
Step-by-step explanation:
Let width of rectangle =X
So length=5x
Given area of rectangle =320inch
Area of rectangle =length ×width
Length×width=320
5X×X=320
5x^2=320
x^2=320/5
x^2=64
So X=√64
Width x= 8inch
Length 5x=5×8
= 40 inch
Perimeter of rectangle =2(length+width)
=2(40+8)
=2(48)
=96inch
In a group of 20 students, there are 7 boys.
What is the ratio of girls to boys?
O 13:20
O 13:7
07:20
07:13
Answer:
13:7
Step-by-step explanation:
20 - 7 = 13 girls
Girls Boys
13 7
Answer:
it would be 7:20 im pretty sure
Step-by-step explanation:
Solve 8x+ c = k for x.
A. X = 8(6+C
B. X
kic
8
C. = 818-C)
D. *E
K-c
8
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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If there are 12 inches in a foot, how many inches are in 64 feet?
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Which equation matches the function described in Table
Answer:
The answer is A
Step-by-step explanation:
A because it's simply adding by 4 on the right-hand side.
True or False please ❗️
Answer:
true
Step-by-step explanation:
Answer:
It might be a trick question but if not, it is false.
Step-by-step explanation:
If you look closely you can see that L' is 4 units above the x-axis and not 3.
How many cups are in 3 gallons? 1 gallon = 16 cups
Label your answer in cups.
Answer:
48 cups
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Usually, I would do the four cups in one gallon thing. This time, I don't need to because we already know how many cups there are in one gallon. Just multiply 16 by 3 to find how many cups.
= 16 x 3
= 48
According to the law of reflection, if the angle of incidence of an incoming ray
of light hitting a mirror is 46°, what is the angle of reflection for the same ray
leaving the mirror?
O A. 180°
O B. 46
O C. 44
O D. 134°
Answer:
B. 46°
Step-by-step explanation:
[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]
Angle of reflection (angle between reflected ray and the normal to the reflecting surface) equals to the angle of incidence (angle between incident ray and normal).[tex] \boxed{\bf{\angle i = \angle r}} [/tex]
The incident ray, reflected ray lie in the same plane with normal to the reflecting surface.Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.
What is the law of reflection?We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.
How to solve this problem?Here the angle of incidence of an incoming ray of light hitting a mirror = 46°
Using the law of reflection, we can conclude that the angle of reflection = 46°
Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.
Learn more about the law of reflection here -
https://brainly.com/question/10638925
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An ice cream shop ordered a box of 700 cones. When they opened the box, they noticed 164 of the cones were broken. How many cones do they have left? *
Answer:
The answer would be 536 cones.
Step-by-step explanation:
You have to subtract 164 from 700.
700-164=536.
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.
4n + 1= 25 how do I solve this and show my work?
Answer:
n=6
Step-by-step explanation:
4n + 1= 25
Move constant to the right
4n=25-1
Calculate
4n=25-1
Then divide on both sides
Answer:
Today: Friday, 06 November 2020
Hour: 09.44 WIB (Indonesia)
_______________________________
4n + 1 = 25
4n = 25 - 1
4n = 24
n = 24/4
n = 6
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?
Answer:
Step-by-step explanation:
28.50/3=9.50 dollars per hour
y=9.50h
Trina earns $19.00 for 2 hours
Trina earns $42.75 for 4.5 hours
Answer:
If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.
9.50h = m ---> earnings = 9.50 x hours
2 hours = 9.50 ( 2) = $19
4.5 hours = 9.50 ( 4) = $42.75
Step-by-step explanation:
Look at image please help me ASAP
What is the length of AC?
7.0 is ten times as much as
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
Help and please do not report I got an practice thing from my tutor, so it's not a quiz.
Answer:
The answer is D. II 1 > -2 and III -2< 1 Hopefully this is helpful!
Step-by-step explanation:
PLEASE ANSWER ASAPPP!!!! REALLY EASY
Chloe and Kiera both wrote numbers, shown below. Chloe: 634,915 Kiera: 369,451 Which statement below is true about Chloe’s and Kiera’s numbers?
The value of the 6 in Kiera's number is 10x greater than the 6 in Chloe's number
Please help and leave a small explanation if u want brainliest :)
Answer:
B is true
Step-by-step explanation:
ratio of all corresponding sides are equal
Answer:
B) Triangle ABC is similar to triangle EFG
Step-by-step explanation:
they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.
What will answer the question 2+2?
Answer: 4.
Step-by-step explanation: 2 + 2 is 4.
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
Victor has quarters, dimes and pennies in his pocket. He has three times fewer pennies than dimes and he has 4 fewer quarters than pennies. How many coins does he have total if they are worth $4.60?
Answer:
Let's define the variables :
Q = number of quarters that Victor has
P = number of pennies that victor has
D = number of dimes that victor has.
We know that:
"He has three times fewer pennies than dimes"
P = D*3
"he has 4 fewer quarters than pennies."
Q = P - 4
And we know that in total, he has $4.60, then:
Q*$0.25 + P*$0.10 + D*0.05 = $4.60
Then we have a system of equations:
P = D/3
Q = P - 4
Q*$0.25 + P*$0.01 + D*0.10 = $4.60
To solve this, we need to replace variables in order to eliminate them.
We can start by replacing the first equation into the other two:
Q = D/3 - 4
Q*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
Now we can replace the top equation into the bottom one:
(D/3 - 4)*$0.25 + (D/3)*$0.01 + D*0.10 = $4.60
And now solve this for D:
D*($0.25/3 + $0.01/3 + $0.10) -$1 = $4.60
D*$0.1866... = $4.60 + $1.00 = $5.60
D = $5.60/$0.1866... = 30
Then he has 30 dimes.
P = D/3 = 30/3 = 10 pennies
Q = P - 4 = 10 - 4 = 6 quarters.
In total he has 30 + 10 + 6 = 46 coins.
25
50
75
100
y
5
10
15
20
Write an equation to represent the proportional relationship.
Find the area of the shaded region in the figure below, if the diameter of the circle is 8 and the height of the rectangle is 10.
Use 3.14 for pi and round to the nearest hundredth.
Answer:
73.72 units²
Step-by-step explanation:
Area of the shaded region = Area if the rectangle - area of the semicircle
Area of the rectangle = length*width
Length = 10 units
Width = 8 units
Area of rectangle = 10*8 = 80 units²
Area of semicircle = ½(πr²)
radius (r) = 8/2 = 4 units
π = 3.14
Area of semicircle = ½(3.14*4) = 3.14*2 = 6.28 units²
Area of the shaded region = 80 - 6.28 = 73.72 units²
Answer: 54.88
Step-by-step explanation:
The shape shown is a circle that overlaps a rectangle. The shaded region is a rectangle with half a circle cut out. To find the area of the shaded region, we can find the area of the rectangle and the area of the overlapping semi-circle and subtract them. The rectangle has a height of 10. The width of the rectangle is the diameter of the circle, 8. First, find the area of the rectangle:
AAA=length×width=10⋅8=80
To find the area of the circle, we need to find the radius. The radius is one half the diameter, therefore r=4. Use the value of r to solve for the area:
AAA=πr2=3.14⋅(42)=50.24
Now we can subtract half the area of the circle from the area of the rectangle:
Area of rectangle−Area of half circle=Area shaded region
80−50.242
A=54.88
So the area of the shaded region is 54.88.
which of the following is equal to 11-2?
112
121
-121
1/112
Answer:
112
Step-by-step explanation:
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
SUBNANT
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In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest