Answer:
4ft
Step-by-step explanation:
Answer: 77ft
Step-by-step explanation:
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow. 6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5 Develop a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.
Answer:
(5.4582 ; 6.8618)
Step-by-step explanation:
Given the data:
6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5
Sample mean, xbar = Σx / n
n = sample size = 50
ΣX = 308
xbar = 308 / 50 = 6.16
Using a Calculator :
The sample standard deviation, s = 2.469
Confidence interval = xbar ± margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 95% ; df = 50 - 1 = 49
Tcritical = 2.010
Hence,
Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018
Lower boundary : (6.16 - 0.7018) = 5.4582
Upper boundary : (6.16 + 0.7018) = 6.8618
(5.4582 ; 6.8618)
Hello, please answer asap, need this done in an hour.
The distance between City A and City B is 500 miles. A length of 1.2 feet represents this distance on a certain wall map. City C and City D are 1.92 feet apart on this map. What is the actual distance between City C and City D?
Answer:
800
Step-by-step explanation:
First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.
Hope this helps!
In the figure below, what is the value of xº?
A. 430
B. 620
C. 180°
D. 75°
Answer:
b is the answer
Step-by-step explanation:
a triangle equals up to 180 degrees and 75+43+62 equals 180
What is the total weight of Dorothys apples
Weight: Number of apples:
1/4. 3
3/8. 6
1/2. 5
5/8. 4
3/4. 2
Work does not have to be included if you decide to do it! I’ll give anyone who does it a lot of points!
Plz guys help me plz
i hope this helps- im not sure if its correct or not
3. A box containing 90 oz. of cereal cost $4.50. What is the price per ounce
Answer: 0.05$ per ounce
Step-by-step explanation:
Answer:0.05 per oz.
Step-by-step explanation: divide 4.50 by the oz
Question 3 (2 points)
Cars-2-Go rents out cars for a $23.75 rental fee and charges $.35 per mile. Which function rule matches this situation when x = number of
miles and y = total cost?
Answer:
23.75+0.35x=Y
Step-by-step explanation:
It starts at $23.75. $0.35 is per mile so that means it will have an x. Add the two up and it is y.
Please help immediately!!
Answer:
x=7° y=4°
Step-by-step explanation:
7x+131=180
7x=180-131=49
x=49/7=7°
11x+y+99=180
77+y+99=180
y=180-99-77
y=4°
can someone please figure this out for me or at least explain this because im lost here
Let f(x)=3x+2, g(x)=x3−3x2+2x+11, and h(x)=x2−3. Perform the following operations.
a) g(-2)=
b) h(-1)=
c) g(x) - h(x)=__x^3 +__x^2+__x+__
d) -2f(x) * h(x)= __x^3+__x^2+__x+__
e) f(h(x)) = __x^2+__x+__
f) f(g(x)) =__x^3+__x^2+__x+__
Answer:
Step-by-step explanation:
the concepts are confusing of what a function is. f(x) seems mysterious , huh
it's just a way to give a label to some set of terms. Just think of it as a name of a person, but in a generic sense, like hey "guy" or hey "gal" you can address many people that way. f(x) is doing that same thing addressing by a name, a set of math terms.
a)
in a) we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so
g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11
g(-2) = -8 -3(4) - 4 +11
g(-2) = -8 -12 -4 + 11
g(-2) = -24 + 11
g(-2) = -13
b)
h(-1) find the h(x) function and input a negative 1 where ever there is an x
h(x) =
h(-1) = [tex](-1)^{2}[/tex] - 3
h(-1) = 1 - 3
h(-1) = -2
c)
for c) just combine like terms of the two given functions
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3
g(x) - h(x) = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14
d)
-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)
-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3
-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]
-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1
e)
f(h(x)) this gets a bit more confusing b/c it's a composition of functions, that's just a fancy way of saying the functions are nested. one inside the other.
f(x) = 3x + 2
h(x) = [tex]x^{2}[/tex] - 3
plug h(x) in to f(x) where ever there is an x in f(x) , luckily there is only one x in f(x) :)
f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 7
f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)
f)
f(x) = 3x + 2
g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35
Hope that helps :)
Yasmin designed a square table using a scale drawing. The actual length of each side was 4 feet and the scale facto
was 1 inch : 2 feet. Choose the figure with the correct side length if Yasmin changed the scale factor to 1 inch: 3 2/3 feet.
A. X = 2ft
B. X = 6 2/3
C. X = 7 1/3
D. X = 14 2/3
Note: please explain how to get the answer because I kept getting D as my answer. Is there a mistake I made? And please do not answer with links.
Answer:
It is x = 7 1/3
Step-by-step explanation:
2 feet is being used in the scale factor and 2 x 3 2/3 is 7 1/3.
Please mark as brainliest
Answer:
The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
we have:
[tex]scale \: factor = \frac{smaller \: length}{larger \: length} [/tex]
let the length be x.
we have
[tex]2 = \frac{x}{3 \frac{2}{3} } [/tex]
[tex]x = 2 \times \frac{11}{3} [/tex]
[tex]x = 7 \frac{1}{3} [/tex]
so.
C .[tex]x = 7 \frac{1}{3} [/tex] is your answer
Please I’ll give BRAINLY just help
Answer:
24 square units is the answer
Answer:
the area is 32.5
Step-by-step explanation:
Write one-hundred-two-and-eighty-one-hundredths in standard form. A 120.081 B 102.081 C 102.81 D 102.801
Answer:
Your CORRECT answer will be B
Step-by-step explanation:
It is definantely not A, because it 102, not 120, so it b, c, or d.
102.081 sounds exact, but what about C? You cannot leave out the 0, so that's out too! 102.801? Say it out loud, doesn't make sense! So you have only one answer left, C.
Mark me brainliest!
Using the Substitution Method, find the value of y in the below system of equations?
-2y = 4x – 4
7x = -4y + 10
Answer:
y = 6
Step-by-step explanation:
-2y = 4x – 4
y = -2x + 2
7x = -4(-2x+2) + 10
7x = 8x-8+10
7x = 8x+2
7x -2 = 8x
-2 = x
plug this into the first equation and the value of y is 6
The value of y using substitution method on the given simultaneous equations is; y = -2
We are given the equations;
-2y = 4x - 4 - - -(eq 1)
7x = - 4y + 10 - - - (eq 2)
From eq 1, divide through by -2 to isolate y;
y = -2x + 2
Substitute -2x + 2 for y in eq 2 to get;
7x = -4( -2x + 2) +10
Expand the bracket to get;
7x = 8x - 8 + 10
7x = 8x + 2
8x - 7x = 2
x = 2
Put 2 for x in y = -2x + 2 to get;
y = - 2(2) + 2
y = -4 + 2
y = -2
Read more about substitution method at; https://brainly.com/question/16863577
Which expression is equivalent to
Answer:
The first one.
Step-by-step explanation:
Based on the scatterplot, what is a reasonable expected average selling price of skateboard in 2016?
Answer:
Last option, $58.50
Step-by-step explanation:
Let's look at the graph, and let's do a simple analysis of the information that it shows.
We can see that in 2009, the price was between $30 and $40.
We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.
Then we can only expect that a few years later (in 2016) the price to be larger than $50.
The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.
We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.
You are ordering a cake for your brother's birthday. You must choose between vanilla, chocolate or marble cake. You must choose between
buttercream or chocolate frosting. Finally you must choose between a cake with a 4-inch radius, 6-inch radius, 9-inch radius, or 12-inch radius. How
many difference cake options are there?
Answer:
24 different options
Step-by-step explanation:
3 cake type options
2 frosting options
4 radius sizes
3 * 2 * 4 = 24 different options
Rewrite the equation
A = b x c
B = ?
Answer:
C ) . B= A/C
Step-by-step explanation:
A=bxc
A/C=B
tomen puntos y doy corona al primero que comente hola
Answer:
hewo nice to meet ya
Step-by-step explanation:
hi hello
Answer:
Hola!
*Spanish*
Gracias por los puntos!
Does this picture show the diameter or radius of a circle?
Answer:
the diameter is 18 inches
please help i really really need help please help me i really really need help please
Answer:
2x-4=3x+9
+4 +4
2x=3x+13
-3x -3x
-x=13
x= -13
Step-by-step explanation:
5. Simplify
(7x2+ 8) - (x2 - 2)
Answer:
[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
Find the area of the circle. Round to the nearest tenth. Help me pls I’m stuck
Answer:
area = 5.3 m²
Step-by-step explanation:
r = d/2 = 2.6/2
r = 1.3
area = πr² = (3.14)(1.3²) = 5.31 m²
The area of a circle is pi r^2
if the diameter is 2.6m
r=d/2
=1.3
area= 22/7*2.6^2
=21.245m^2
Round to the nearest 10th
=20m^2
Answer:20m^2
What is the length of the hypotenuse of the triangle 26 34 68 74
Answer:Answer: 26 ft.
Step-by-step explanation:
CAN SOMEONE HELP ME, IT’S WORTH 40 POINTS AND DUE TOMORROW (April 18,2021)
Answer:
Step-by-step explanation:
1) the formula for the area of the square is: side^2
2) by solve the square root of the area
3) √81 ; √89
4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).
the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.
5. Kurt has a rectangular garden in his backyard with an area of 40 square feet. He wants to
increase the size of the garden by doubling each dimension. What will the area of the garden be
after he doubles the length and width?
a. 180 square feet
b. 160 square feet
c. 120 square feet
d. 80 square feet
The area of the garden be after he doubles the length and width is 160 square feet.
Given that,
Kurt has a rectangular garden in his backyard with an area of 40 square feet. He wants to increase the size of the garden by doubling each dimension.Based on the above information, the calculation is as follows:
We know that
Area = (length) (width)
Now if the area is doubled
So,
= (2) (length) (2) (width)
= 4(length) (width)
= 4 (40)
= 160
Therefore, we can conclude that option b is correct.
Learn more: brainly.com/question/24169758
One Monday, Oscar sold 15 cups of lemonade. On Tuesday, he sold 5 more cups than he sold on Monday. On Wednesday and Thursday, he sold 25 cups of lemonade. Which graph shows the number of lemonade cups that Oscar sold each day? A) A B) B C) C D) D
James divided the candy bar
into 4 parts.
He gave 1 part to his friend.
Answer:
If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?
7. Solve the story problem.
Bailey has collected 9 shells from the
Atlantic Ocean and 3 times as many
shells from the Gulf of Mexico. How
many shells does she have altogether?
shells
She has 36 shells
9+(9*3)
9+27
=36
Please mark as brainliest. :)
The "fear of negative evaluation" (FNE) scores for 11 random female students known to have an eating disorder (1) and 14 random female students who do not have an eating disorder (2) are collected. The higher the score, the greater is the fear of a negative evaluation.
Bulimic Students: 16, 8, 5, 15, 20, 14, 11, 16, 19, 8, 9
Normal Students: 10, 3, 13, 10, 5, 16, 20, 15, 8, 16, 4, 7, 12, 17
Assume the scores are normally distributed. The mean for the 11 students with an eating disorder is 13.82 and standard deviation 4.92. The mean for the 14 students who do not have an eating disorder is 13.14 and standard deviation 5.29.
Required:
a. Find a 95% confidence interval for the difference between the population means of the FNE scores for bulimic and normal female students. (Round to two decimal places as needed.)
b. Interpret the result of the confidence interval.
A. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
C. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
D. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
c. What assumptions are required for the interval of part (a) to be statistically valid? Select all that apply.
Answer:
a. The 95% confidence interval for the difference in mean is C.I. = -3.6 < μ₂ - μ₁ < 4.96
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
Step-by-step explanation:
The given parameters are;
The mean for the 11 students with an eating disorder, [tex]\overline x_1[/tex] = 13.82
The standard deviation for the 11 students with an eating disorder, s₁ = 4.92
The mean for the 14 students who do not have an eating disorder, [tex]\overline x_2[/tex] = 13.14
The standard deviation for the 14 students with an eating disorder, s₂ = 5.29
a. The 95% confidence interval for the difference in mean is given as follows;
[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{ \hat \sigma^2 \times\left( \dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right)}[/tex]
The pooled standard deviation, is therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 11-1 \right )\cdot4.92^{2} +\left ( 14-1 \right )\cdot 5.29^{2}}{11+14-2}} \approx 5.13241[/tex]
Where at degrees of freedom, df = n₁ + n₂ - 2 = 25 - 2 = 23 the critical-t = 2.07
\left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 *(\dfrac{1}/{11}+\dfrac{1}{14}\right)}
[tex]C.I. = \left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 \times\left(\dfrac{1}{11}+\dfrac{1}{14}\right)}[/tex]
Therefore, we get;
[tex]C.I. = 0.68\pm 4.28[/tex]
C.I. = -3.6 < μ₂ - μ₁ < 4.96
b. Therefore, given that the confidence interval extends from positive to negative, therefore, there is a possibility that there is no difference between the mean FNE scores for bulimic and normal students
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
solve the 2x-1/4+3x-2/3=25/12
Answer:
x=8/15
Step-by-step explanation:
2x-1/4+3x-2/3=25/12
2x+3x=25/12+1/4+1/3
5x=25/12+3/12+4/12
5x=32/12
5x=8/3
x=8/3÷5
x=8/15
Answer: 3 over 5
Step-by-step explanation: