The range of these data 6, 9, 2, 12, 3, 5, 9 will be 10.
What is the range of the data?The minimum and maximum values or lower and upper values between a collection of data.
A scientist recorded the number of geese found in park on various days of week, the data are shown below.
6, 9, 2, 12, 3, 5, 9
Then the range of these data will be
⇒ 12 – 2
⇒ 10
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using a conservative sample size, how many randomly selected businesses should be contacted to construct a 99% confidence interval for the proportion of businesses that plan to hire employees within the next sixty days to within a 4% margin of error?
Rounding up to the nearest whole number, we would need a sample size of at least 105 businesses to construct a 99% confidence interval with a 4% margin of error.
To determine the sample size required to construct a 99% confidence interval for the proportion of businesses with a 4% margin of error, we need to use the formula:
n = (Z^2 * p * (1-p)) / E^2
Where:
n = sample size
Z = Z-score corresponding to the desired confidence level (99% confidence level corresponds to a Z-score of approximately 2.576)
p = estimated proportion (since we don't have an estimate, we can assume p = 0.5 to get a conservative estimate)
E = margin of error (0.04 or 4%)
Plugging in the values, we have:
n = (2.576^2 * 0.5 * (1-0.5)) / 0.04^2
n = (6.638176 * 0.25) / 0.0016
n ≈ 104.364
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--) Aiden filled his 290 gallon pool with water in 10 hours.
How many gallons were in the pool after 7 hours?
I
Answer:
the answer is 203
Step-by-step explanation:
you divided 290 by 10 then multiply your answer by 7
Question 6 ab and c please xx
What is the value of 4/15 /2/3
I'm assuming your dividing 4/15 by 2/3.
The answer is not exact, but a close estimate.
4/15 /2/3 = 8/45
A 2-column table titled f (x + 1) = 4 (f (x)) has 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled f (x) with entries 4, a, b, c, 1,024. What are the missing values in the table representing the recursively defined geometric sequence? a = b = c =.
Answer:
16, 64, 256
Step-by-step explanation:
What is the slope of the line passing through the points (-3, 4) and (2, -1)? Answers: 3/5, -5/3, 1, -1.
Answer:
-1
Step-by-step explanation:
slope is rise/run.
to go from (-3,4) to (2,-1) you move...
5 units down and...
5 units right.
-5/5= -1
On average, 24% of customers who buy shoes in a particular store buy two or
more pairs. One weekend, 350 customers purchased shoes. How many can be
predicted to buy two or more pairs? If 107 customers buy more than two pairs,
did more customers than normal buy two or more pairs?
Answer:
84 Customers
Step-by-step explanation:
To predict how many customers out of the 350 will buy two or more pairs, you need to find 24% of the 350 customers: 24% * 350 = 84 Customers.
2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if improperly cooked. Chickens are delivered to grocery stores in crates of 24. Assume the chickens are independently selected. What is the probability that a certain crate has more than 4 contaminated chickens
Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.
For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.
What is the binomial probability distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
About 30% of frozen chickens are contaminated, hence \(p = 0.3\).Chickens are delivered to grocery stores in crates of 24, hence \(n = 24\).The probability that a certain crate has more than 4 contaminated chickens is:
\(P(X > 4) = 1 - P(X \leq 4)\)
In which:
\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)
Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002\)
\(P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020\)
\(P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097\)
\(P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305\)
\(P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687\)
Hence
\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111\)
0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.
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At what angle is the cyclist riding on the steep road?
Step-by-step explanation:
SoH, CaH, ToA
We will be using soH
Sin0=O/H
Sin0=50/1200
0=Sin^-1(50/1200)
=2.39°
(not sure though)
a sphere of radius r carries a total charge q distributed over its surface. A small area dA of the sphere is cut off. Find the electric field at the centre due to the remaining sphere.
Answer:
Step-by-step explanation:
Kim can mow the greens at the golf course twice as fast as I can. Working together, we can mow them in 4 hours. How long will it take me to mow the greens alone?
Answer:
12 hours
Step-by-step explanation:
Let x hours be the time it will take you to mow the greens at the golf course.
Since Kim can mow twice as fast, it will take Kim x / 2 hours to mow the greens.
In 1 hour, you will mow 1 / x of the greens
in 1 hour, Kim will mow 1 / (x / 2) of the greens= 2 / x of the greens
In 4 hours, you will mow 4 * 1 / x of the course = 4 / x of the greens
In 4 hours, Kim will mow 4 * 1 / (x / 2) of the course = 4 / (x / 2) = 8 / x of the greens.
Since we are dealing in fraction, the sum of the amount of greens that they would individually mow in 4 hours should be 1. i.e
(4 / x) + (8 / x) = 1
12 / x = 1
Solve for x;
x = 12
Therefore, it will take you 12 hours to mow the greens alone.
A stray dog ate 21 of your muffins. That was 7/10 of all of them! With how many did you start with?
A) 30
B) 25
C) 28
D) 14.7
Answer:
Your answer is A
Step-by-step explanation:
The reason is because 1/10 is 3 muffins so if it was 7/10 it would be 21 8/10 is 24 and 9/10 is 27 and 10/10 is 30 muffins
Answer: The answer is 30
Step-by-step explanation:
You do 21 x 10 and the answer is on top of 7: 120/7
Then do 120 divided by seven and there is your answer.
Yesterday, a movie theater sold 278 bags of popcom. A large bag of popcorn costs $3. A small bag of popcom costs $1. In all, the more theater made shes from
popcorn sales. Write and solve a system of equations to find how many bags of each size of popcom were sold.
Answer:
They sold 175 small popcorns and 103 Large popcorns
Step-by-step explanation:
The equation is
L + S = 278 this means the total large and small popcorn that they sold is 278
3L+1S= 484 The owner of the question told me the total profit is 484
When we solve we can turn the first equation into L=-S+278
we substitute L=-S+278 into 3L+1S=484 we get -3S+ 834+ S= 484
-3S+834+1S=484
-2S+ 834= 484
-2S=- 350
2s= 350
s= 175
We know that they sold 175 small popcorns now. Now we Substitute 175 into L+ S= 278 and get L+ 175=278
L+175=278
L= 103
They sold 175 small popcorns and 103 Large popcorns
20 points to answer and extra if it’s right!
Answer:
C
Step-by-step explanation:
Money lost. Keyword "lost". Ages, people, and height can't be negative. ( I guess people can be negative mentally but not physically)
what is the value of 6(2b-4) when b+5?
Answer:
The value of 6(2b-4) is 36.
Step-by-step explanation:
Given expression: 6(2b-4)
To find the value of 6(2b-4) at b=5, we need to substitute the b=5 in the expression, we get
6(2(5)-4)
= 6(10-4)
=6(6)
= 6x6=36
⇒ 6(2(5)-4)=36
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.
Please help meee! I will give brainleiest!
Answer:
B) 3.0 ml
Step-by-step explanation:
what is th awnser for underline the addition property for (6+1)+8=6+(1+8)
Answer: Law of Association
Step-by-step explanation:
The Law of Association states that [(p + q) + r] = [p + (q +r)]
Replace p with 6, q with 1 and r with 8.
[(6 + 1) + 8] = [6 + (1 + 8)]
-or-
(6 + 1) + 8 = 6 + (1 + 8)
This is 15=15 ,which is a correct equation.
growing from 1.4m to 1.6m in one year what’s the rate to change
Answer:
1.6 - 1.4 = 0.2
0.2 / 1.4 = 0.14 = 14%
Step-by-step explanation:
A pair of parametric equations is given. x = 2t, y = t 5 (a) sketch the curve represented by the parametric equations. use arrows to indicate the direction of the curve as t increases.
Refer to the image attached.
What are parametric equations?Parametric equation uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables. When necessary, more than one parameter can be used.
Now,
In order to plot the graphs of the given parametric equations, we will be sketching a table, in which, the values of the equations will be found at various values of the parameter.
=> Refer to the table in the image attached.
For the values so found of the parametric equations for the respective parameter, a graph will be plotted for both the equations:
Refer to the graph in the image attached.
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Use the rules of exponents to evaluate or simplify. Write without negative exponents.
\(3. {4}^{0} \)
9514 1404 393
Answer:
1
Step-by-step explanation:
Any non-zero number to the zero power is 1.
3.4^0 = 1
NEED HELP ASAP PLEASE HELP!!!!
Answer:
d
Step-by-step explanation:
The height of a kicked ball can be modeled by the quadratic function h = - 0.01x^2 + 1.18x + 2. The horizontal distance traveled by the ball in feet is represented by x, and h is the height of the ball in feet. Approximately how far does the ball travel horizontally by the time it hits the ground?
The horizontal distance travelled by the ball when it hits ground is 119.67 feet
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the horizontal distance traveled by the ball and h represent the height of the ball. Given that:
h = -0.01x² + 1.18x + 2
The ball hits the ground when h = 0, hence:
-0.01x² + 1.18x + 2 = 0
x = 119.67
The horizontal distance is 119.67 feet
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Math question please help
Answer:
A
Step-by-step explanation:
slope is -1 and y intercept is -4
Jason has 34 blueberry scones and 85 raspberry scones. There is 17 bags of scones each filled with an equal amount of blueberry scones and raspberry scones. How many blueberry scones and how many blackberry scones can go in each bag?
Answer:
2 blueberry and 5 raspberry scones go in each bag
Step-by-step explanation:
34+85=119
119/17=7
34/85= 2/5
so 2 blueberry and 5 raspberry scones go in each bag
hope that helps :)
Answer:
2 Blueberry scones and 5 Raspberry scones
Step-by-step explanation:
Given:
34 Blueberry scones
85 raspberry scones
17 Bags to fit scones
34 Blueberry so 34 divided by the Bag 17 (34 ÷ 17 = 2)
85 Raspberry scones so 85 divided by the Bag 17 ( 84 ÷ 17 = 5)
Therefore Jason can put 2 Blueberry scones and 5 Raspberry scones in each Bag
I need help with this
a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).
To solve:
12 - 4x = 15 - 3x
12 = 15 + x
-3 = x
Therefore, x is equal to -3.
b) To find the value of AB, plug in the value of x found in part a).
12 - 4x
12 - 4(-3)
12 - (-12)
12 + 12 = 24
Thus, segment AB is equal to 24.
c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.
15 - 3x
15 - 3(-3)
15 - (-9)
15 + 9 = 24
Thus, segment DE is also equal to 24.
We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.
I hope this helps!
Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers
Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
Factor 9v–81w–54.
Write your answer as a product with a whole number greater than 1.
Answer:
9(v-9w-6)
Step-by-step explanation:
Just factor out a 9 from all the terms. That is all you can do.
the quotient of 12 divided by y increased by 7
Answer:
5+z7=12
Step-by-step explanation:
I think this is the answer idek if its an option but I hope u get it right:) Hope this helped
The quotient of 12 divided by y increased by 7 is equals to \(\frac{12}{y} +7\).
What is division?" Division is defined as the distribution of a number into equal parts as per the given condition."
According to the question,
Given number = 12
Divisor = y
Condition given = quotient of 12 divided by y increased by 7
As per the given condition the required quotient of given division ,
\(\frac{12}{y} +7\)
Hence, the quotient of 12 divided by y increased by 7 is equals to \(\frac{12}{y} +7\).
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A salesperson at a jewelry store earns 6% commission each week. Last week, jarrod sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
1/ $ 4.08
2/ $675.92
Step-by-step explanation:
Take 68 times 0.06% = $4.08
680 - 4.08= 675.92
Answer:
Step-by-step explanation:
40.80 it told me the answer
The Collins family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
Answer:
81 eggs
Step-by-step explanation:
4×18=72
plus the original 9
72+9=81