Answer:
76/9
Step-by-step explanation:
Alternative form: 8 4/9, 8.4
Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?
Answer:
One third or 1/3
Step-by-step explanation:
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
The Pythagorean theorem says:
[tex]a^2+b^2=c^2[/tex]
where a and b are the two legs of the triangle and c is the hypotenuse. Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:
[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]
So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.
Find the slope of the line through the two points. (3, 7) and (4, 9)
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-7)/(4-3)
m=2/1
m=2
Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1
Answer:
i think the answer is 5x+1 that how i was taught srry if its wrong
How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed
Answer:
308915776 six-letter passwords are possible with repetitions
Step-by-step explanation:
Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.
This can be represented as 26^6=308915776
With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, The six letter passwords are formed using the letters A through Z
with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.
Therefore it would be,
= 26⁶ passwords.
learn more about permutation and combination here :
https://brainly.com/question/28720645
#SPJ2
help due tonight.. *no links please*
Answer:
supplementary angle = angle 2 and angle 3
vertical angle = angle 2 and angle 4
hope it helps
5/8
6 ft
9 ft
Find the area of the shape
Answer:
33.75 or rounded to the nearest tenth: 33.8
Given angle DEF : angle RST, find the scale factor.
The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.
To find x, we just use a proportion Biggest to Smallest:
[tex]\frac{4}{3}=\frac{16}{x}[/tex]
4x = 48
x = 12
NEED HELP IN LESS THAN 5 MINUTES!!!
Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.
Answer:
At least a 94
Step-by-step explanation:
Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.
WAY to much to read,thanks for the points and have a good day
Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?
Answer:
No equations given but the answer is c=1x+7.96
Step-by-step explanation:
Find P(4).
A 1/8
B 1/4
C 1/2
What is the value of 3AB when a equals five and B equals six
3AB = 90
comment for explanation
Answer:
90
Step-by-step explanation:
3AB = 3 (5)(6)
3AB = 3 x 30
3AB = 90
find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary
9514 1404 393
Answer:
1487.31 yd³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.
The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.
The volume of a cylinder is πr²h.
The total volume of this figure is ...
V = (2/3)πr³ + πr²h
V = πr²(2/3r +h)
V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³
The volume of the figure is about 1487.31 yd³.
Answer:
4187.31 yd³ is thr volume of a fugure
Plsss this is timed!
Answer:
c i think ???
Step-by-step explanation:
Choose all that are true. A square is a
She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41
Answer:
B. 37 + 7 = 44
Step-by-step explanation:
If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.
The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?
We can use the formula: is/of = %/100.
% = 60
of = 160
[tex]\frac{x}{160}=\frac{60}{100}[/tex]
100x = 9600
x = 96
96 students participated in the fundraiser.
Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?
Answer:
b = 3.5 cm
Step-by-step explanation:
Given that,
The area of a rectangle, A = 14. sq cm
The length of one side, l = 4 cm
We need to find the length of another side. The formula for the area of a rectangle is given by :
A = lb
So,
[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]
So, the length of the other side is equal to 3.5 cm.
Juan has 2 1/4 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 1/4 yard long. How many bows can Juan make?
Answer:
9 bows
Step-by-step explanation:
Take the amount of ribbon and divide by the amount needed per bow
2 1/4 ÷ 1/4
Change the mixed number to an improper fraction
(2*4 +1)/4 ÷1/4
9/4 ÷1/4
Copy dot flip
9/4 * 4/1
9
9 bows
In rectangle ABCD,If EC=13 find BD
Answer:
[tex]BD = 26\\[/tex]
Step-by-step explanation:
Given
[tex]EC = 13[/tex]
Required
Find [tex]BD[/tex]
In the given rectangle.
AC and BD are the diagonals.
This implies that:
[tex]AC = BD[/tex]
AC is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
So:
[tex]AC = EC + EC[/tex]
[tex]AC = 13+13[/tex]
[tex]AC = 26[/tex]
Recall that: [tex]AC = BD[/tex]
[tex]BD = 26\\[/tex]
Rick kept track of wins and losses for each game attempt in the following table.
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
Select the correct statement.
A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.
Answer:
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
Step-by-step explanation:
Given the data:
Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175
EXPERIMENTAL PROBABILITY:
Game A :
Number of games played = 26 + 173 = 199
Experimental probability :
Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306
Theoretical probability :
1 / 8 = 0.125
Game B :
Number of games played = 54 + 141 = 195
Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769
Theoretical probability = 1 / 7 = 0.1429
Game C :
Number of games played = 17 + 175 = 192
Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885
Theoretical probability = 1 / 12 = 0.08333
From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.
Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(
9514 1404 393
Answer:
x = 4.9 cm
Step-by-step explanation:
The product of segment lengths is the same for each chord:
(7 cm)(7 cm) = x(10 cm)
x = (49 cm^2)/(10 cm)
x = 4.9 cm
Amy purchase n notebooks. They were 4 dollars each. Write an equation to represent the total cost C that Amy made.
Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
Brainliest for correct answer asap
Answer:
D
Step-by-step explanation:
what is the distance of 120 and -5 on a number line
Answer:
the distance between-5 to 120 on a number line is 124
Fill in the missing parts. Then determine which bowl contains more sodium.
Soup A
Sodium(mg) 720
Ounces 6 1
Soup B
Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)
Answer:
Soup B
Step-by-step explanation:
Given :
Soup A:
Sodium(mg) 720
Ounces 6 1
Soup B :
Sodium(mg) 600
Ounces 4 1
To Obtian the amount of sodium per ounce in each of soup A and B
Soup A :
Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce
Soup B:
Sodium per ounce = 600 mg / 41 = 14.634mg / ounce
Hence. SOUP B contains more soudiun per ounce