The size of the population is 120 shoppers while the size of the sample is 29.
What is the Population and Sample?
Population is the total amount of people or living things or things from which a survey or research is carried out. Meanwhile the sample is a portion of the population.
From the given question, the total number of shoppers is 120 and as such it is the population while the sample is 29 people being surveyed.
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Find the angle mesasure that is not given
Cuanto mide el largo de un rectángulo cuyo perímetro es 16cm y su área 12 cm al cuadrado ?
what is 6,973 ×62 equal to
Answer:
432326
Step-by-step explanation:
i just times them together
Answer:
that should be 432,326
Step-by-step explanation:
I do not rly know how to the calculator on this app properly yet but I will try my best to explain it
×6973
62
3×2=6,2×7=14 put 4 under the 6 and take 1 to the 9,2×9 is 18,+1 that we added to the 9=19, put 9 under the 9 and take 1 to the 6 above, and 2×6=12,+1=13
and you get this first
13946
and you also multiply your 6 by all the numbers above giving you
41838
so you arrange it like this and get
13946
41838
and you add it together giving you
432,326.
and the third picture should be your answer.
A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A) 108 in.2
B) 492 in.2
C) 420 in.2
D) 528 in.2
The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.
The total area of the stove top is given by the product of its length and width:
Length = 24 inches
Width = 22 inches
Area = Length × Width = 24 × 22 = 528 square inches
The area of each burner is given by the formula for the area of a circle:
= π × (diameter/2)²,
where π is approximately equal to 3.14
Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.
Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches
The total area of the four burners is 4 × 28.26 = 113 square
The area of the stove top = 528 - 113
= 415 square inches.
Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
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Hugo averages 41 words per minute on a typing test with a standard deviation of 7.5 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(41,7.5).
Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is ________. This z-score tells you that x=45 is ________ standard deviations to the ________ (right/left) of the mean, ________.
Correctly fill in the blanks in the statement above.
At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean. 41 At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean.
What is the z score and standard deviation?
In essence, standard deviation represents the degree of variability present in a given data collection. To compute the standard deviation, first, get the distance between each data point and the mean. After that, the discrepancies are squared, added up, and averaged. The variance is caused by this. The variance's square root yields the standard deviation.The Z-score, in contrast, indicates how far a given data point deviates from the mean. The Z-score is adverse for data points that are below the mean. 99% of the values in most sizable data sets have a Z-score between -3 and 3, which denotes that they are within three standard deviations of the mean either above or below.Given, the Normal distribution with,
mu = 41
sigma = 7
The z-score formula is
z score = (X - mu) / sigma
So , z score at X = 30 is
z score = (X - mu) / sigma = (30 - 41) / 7 = -1.57
At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean. 41 At x = 30, the result is -1.57. According to this z score, x = 30 is 1.57 standard deviations away from the mean.
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Alex needs 36 boxes in the carton above.
Answer:
1 stack of 36
Step-by-step explanation:
First find how much one carton can hold
length is 45
width is 20
height is 40
40 * 20 * 45 = 36,000
Then find how much volume each box has
length is 20
width is 10
height is 5
5 * 10 * 20 = 1000
so each box is 1000 volume
1 stack of 36 is good
A random sample of 40 collision claims of 30 to 49 year old drivers results in a mean claim of $3669 with a standard deviation of $2029. Another random sample of 40 collision claims of 20 to 29 year old drivers results in a mean claim of $4586 with a standard deviation of $2302. Is there evidence that 20 to 29 year old drivers have a higher mean accident claim? (Let population 1 be 20-to-29 yr old drivers and population 2 be the 30 to 49 year old drivers.) Calculate the appropriate test-statistic. Round your answer to 2 decimal places.
The appropriate test statistic is approximately 1.89.
To determine if there is evidence that 20 to 29-year-old drivers have a higher mean accident claim compared to 30 to 49-year-old drivers, we can perform a two-sample t-test.
The test statistic can be calculated using the following formula:
\(t = (mean1 - mean2) / \sqrt{(s1^2 / n1) + (s2^2 / n2)}\)
where:
mean1 and mean2 are the sample means of the two populations,
s1 and s2 are the sample standard deviations of the two populations,
n1 and n2 are the sample sizes of the two populations,
Given the following information:
For population 1 (20 to 29-year-old drivers):
Sample mean (mean1) = $4586
Sample standard deviation (s1) = $2302
Sample size (n1) = 40
For population 2 (30 to 49-year-old drivers):
Sample mean (mean2) = $3669
Sample standard deviation (s2) = $2029
Sample size (n2) = 40
Calculate the test statistic (t):
\(t = (4586 - 3669) /\sqrt{ (2302^2 / 40) + (2029^2 / 40))\)
Calculating this expression:
t ≈ 917 / √(132360.1 + 102996.025)
t ≈ 917 / √(235356.125)
t ≈ 917 / 485.086
t ≈ 1.89
Therefore, the appropriate test statistic is approximately 1.89.
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Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is:
estimate the answer for 1 2/3 x 5 1/10 (type a whole number
Answer:
Exact Form:
17/2
Decimal Form:
8.5
Mixed Number Form:
8 1/2
10. During the hockey season, Elena
averaged 5.625 assists per game. What is
5.625 written in expanded form? How is
it written with number names?
Answer:
5 + 6*10^-1 +
Step-by-step explanation:
I got you started... If you still need extra help, let me know.
In lisa class ,24of students are tall and 12 are short. In pauls class 15 studens are tall and 20 students are short. Which class has a higher ratio of tall to short students.
Answer:
Lisa's class because she has 24:12 and paul has 15:20
What is the value of x?
60°
/700
x
0 130
O 110
60
050
state five features of tropical rainfall
Answer: none
Step-by-step explanation:
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Please help!! Thank youu
Answer:
Your answer is C
Step-by-step explanation:
Supplementary angles are angles that come out to 180 degrees when added.
90+90=180
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared
Answer:
160 ft²
Step-by-step explanation:
The width is 40% of the length, so is ...
0.40 × 20 ft = 8 ft
The area is the product of length and width:
A = LW
A = (20 ft)(8 ft) = 160 ft²
What is the measure of 23, in degrees, in the figure shown? 30° 137° 3
Answer:
73°
Step-by-step explanation:
This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.
The triangle has two angles implied, 30 degrees and (180-137) degrees.
(180 - 137) = 43 degrees
Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.
180 - 43 - 30 = 107
The angle with a measure of 107 degrees and angle 3 are supplementary
180 - 107 = 73 degrees
Answer:73.4° Fahrenheit.
Step-by-step explanation:
The tailor determines that the cost of material varies directly with the amount of material. The cost is $42 for 14 yards of material. What is the cost for 70 yards of material?
Answer:
\(the \: cost \: for \: 70 \: yards \: of \: material \: is : \\ \: \$210.\)
Step-by-step explanation:
\(let \: the \: cost \: of \: material \: be \to \: c_{m} \\ let \: the \: amount \: of \: material \: be \to \: a_{m} \\ then \: the \: expression \: is: \\ c_{m} \: \alpha \:a_{m} \\ c_{m} \: = k a_{m} \\ if \: c_{m} = 42 \: and \:a_{m} = 14 \\ then \: \to \\ k = \frac{c_{m} }{a_{m}} = \frac{42}{14} \\ k = 3 \to \: this \: is \: the \: variation \: constant. \\ when \: a_{m} = 70 : \: then \to \\ c_{m} = k a_{m} = 3 \times 70 \\ \boxed{ c_{m} = \: 210}\)
♨Rage♨
If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
ZA=C
Round your answer to the nearest hundredth.
C
B
6
8
A
?
Answer:
? = 41.41°
Step-by-step explanation:
The known side length is adjacent to the angle we need to find hence we will use cosine
cosx = adjacent /hypotenuse
cos(?) = 6 / 8
simplify fraction, cos(?) = 3 / 4
? = arccos(3 / 4)
k+12=23
plsssss help
The winter clothing drive has received donations of 5 coats,23 pairs of gloves, 19 scarves, and 3 hats so far.
Answer:
0.54 percent chance
Step-by-step explanation:
5+23+19+3=50
=54
A farmer has 300 ft of fencing and wants to enclose a rectangular area of 5000 ft². What dimensions should she use?
Given:
The perimeter is 300ft.
The area of the rectangular field is 5000 square ft.
To find:
The dimensions.
Explanation:
Using the perimeter and area formula of the rectangle,
\(\begin{gathered} 2(l+b)=300............(1) \\ lb=5000..........(2) \end{gathered}\)From (1),
\(\begin{gathered} 2(l+b)=300 \\ l+b=150 \\ l=150-b.........(3) \end{gathered}\)Substituting (3) in (2) we get,
\(\begin{gathered} (150-b)b=5000 \\ 150b-b^2=5000 \\ b^2-150b+5000=0 \\ b^2-100b-50b+5000=0 \\ b(b-100)-50(b-100)=0 \\ (b-50)(b-100)=0 \\ b=50,100 \end{gathered}\)Substituting b =50 in equation (3), we get
\(\begin{gathered} l=150-50 \\ l=100 \end{gathered}\)Substituting b =100 in equation (3), we get
\(\begin{gathered} l=100-50 \\ l=50 \end{gathered}\)So, the dimensions are,
If the length is 100ft, then the width is 50 ft.
If the length is 50ft, then the length is 100ft.
Final answer:
The dimensions are,
• If the length is 100ft, then the width is 50 ft.
,• If the length is 50ft, then the width is 100ft.
Snow-House sells a $1,248 snow thrower on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $116 each. What is the total cost of the snow thrower on the installment plan?
The total cost of the snow thrower on the installment plan is $1,641.60.
To find the total cost of the snow thrower on the installment plan, we will first calculate the down payment and then add the total monthly payments. Here's the step-by-step explanation:
1. Calculate the down payment:
Down payment = 20% of the original price
Down payment = 0.20 * $1,248
Down payment = $249.60
2. Calculate the total of the 12 monthly payments:
Total monthly payments = 12 * $116
Total monthly payments = $1,392
3. Calculate the total cost on the installment plan:
Total cost = Down payment + Total monthly payments
Total cost = $249.60 + $1,392
Total cost = $1,641.60
So, the total cost of the snow thrower on the installment plan is $1,641.60.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Step-by-step explanation:
I attached the image of answer
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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Help me please thank you
Answer:
104 degrees
Step-by-step explanation:
The angle of the whole set of lines is 140 degrees. In addition, the partial angle of it is also given--which is 36 degrees. In order to solve for the remaining part, Subtract 36 degrees from 140 degrees to get 104 degrees.