Answer:
B < A < C < D
Step-by-step explanation:
We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.
Answer:
The answer is option 2.
Step-by-step explanation:
In a faster way to see this you can just look at the power :
A = -4
B = -6
C = 4
D = 5
B < A
A < C
C < D
So the order is B, A, C and D.
A factory is operating at 80% of capacity. The capacity is 300 cases per hour. How many cases are being produced each hour?
lottery: every day, jorge buys a lottery ticket. each ticket has a probability of 0.2 of winning a prize. after seven days, what is the probability that jorge has won at least one prize? round your answer to four decimal places.
The probability after seven days of buying a lottery that Jorge would have at least one prize is 0.9364, rounded to four decimal places.
The question suggests that the probability of winning a prize on a single lottery is 0.2. This means that the probability of not winning a prize on that ticket is 0.8. This is because the probability is a total sum of 1. Hence, probability of not winning the prize:
1 - 0.2 = 0.8.
If Jorge has bought the tickets consistently, the probability would be multiplied the specific times. Therefore, the probability of not winning a prize on that ticket after seven days is equal to (0.8)⁷. Now the probability of winning a prize after seven days would be:
1 - (0.8)⁷ = 0.9364.
Therefore, the probability that Jorge has won at least one prize after seven days of buying lottery tickets is 0.9364 rounded to four decimal places.
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Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of respondents in a survey. explain your choice.
The eye color of respondents in a survey is qualitative data at the nominal level of measurement.
The eye color of respondents in a survey can be categorized as qualitative data because it represents a characteristic or attribute rather than a numerical quantity. Qualitative data is descriptive and categorical.
In terms of the level of measurement, the eye color variable can be classified as nominal level data. Nominal data is the lowest level of measurement and simply categorizes observations into different groups without any inherent order or magnitude. In this case, eye colors such as blue, brown, green, hazel, etc. are non-numeric categories without any implied ranking or quantitative relationship.
Nominal data is characterized by the fact that you cannot perform mathematical operations on the categories, and there is no meaningful measure of central tendency or dispersion. Eye color falls into this category since you cannot meaningfully calculate averages or quantify differences between eye colors using mathematical operations.
To summarize, the eye color of respondents in a survey is qualitative data at the nominal level of measurement.
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what is 2(x+6)-6x in simplest form
Answer:
-4x + 12
Step-by-step explanation:
2(x+6)-6x
2x + 12 - 6x
combine llike terms
2x - 6x = -4x
-4x + 12
Answer:
2(x+6)-6x=-4x+12
Step-by-step explanation:
So how I got that was I expanded 2(x+6): 2x+12 so I got 2x+12-6x
I simplified 2x+12-6x and I got -4x+12
Suppose you want to test the claim that μ > 28.6. Given a sample size of n = 62 and a level of significance of . When should you reject H0?
We reject H0 when the calculated t-statistic is greater than 1.67.
To determine when to reject the null hypothesis (H0) that μ = 28.6, we need to conduct a hypothesis test using a t-test with a one-tailed alternative hypothesis. Since the alternative hypothesis is μ > 28.6, this is a right-tailed test.
First, we need to calculate the t-statistic using the formula:
t = (x - μ) / (s / √(n))
where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.
Next, we need to find the critical t-value from the t-distribution table using the degrees of freedom (df) which is n - 1. Since the level of significance is not given in the question, we will assume it to be 0.05. This means that the critical t-value for a one-tailed test with 61 degrees of freedom is 1.67.
If the calculated t-statistic is greater than the critical t-value, we reject the null hypothesis. If the calculated t-statistic is less than or equal to the critical t-value, we fail to reject the null hypothesis.
Therefore, we reject H0 when the calculated t-statistic is greater than 1.67.
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PLEASE HELPPPPPP URGENT
Answer:
B
Step-by-step explanation:
CD matches with ST on the shapes.
Avi and Micah are teammate on a track and field team. Avi' bet long jump i 1 1/6 time a long a Micah. Avi' bet long jump i 3 1/2 meter. How long i Micah' bet long jump?
Micah's best long jump is 3 meters long.
In this question we have been given Avi and Micah are teammates on a track and field team.
We need to find the how long is Micah's best long jump.
Let Micah's best long jump is x meters and Avi's best long jump is y meters.
Avi's best long jump is 3 1/2 meters.
⇒ y = 3 1/2 meters
We write this improper fraction as proper fraction.
3 1/2 = 7/2
Also, Avi's best long jump is 1 1/6 times as long as Micah's.
So, we get an equation
y = (1 1/6) * x
We write improper fraction 1 1/6 as 7/6
So equation becomes,
y = 7/6 * x
Subatitute the value of y
7/2 = 7/6 * x
x = (7/2)/(7/6)
x = 6/2
x = 3 meters
Therefore, Micah's jump is 3 meters long.
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The probabilities of the top-selling menu item in four towns' restaurants being different types of vegetarian and nonvegetarian sandwiches are given in the table. If the restaurant in town 4 has a nonvegetarian sandwich as its top-selling menu item, what is the probability that it is a ham sandwich?.
The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24% is 0.2529.
What is the probability?Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has been introduced in mathematics.
Solution of the given sum :The sum of probabilities of all non vegetarian sandwiches that is
= 5.86% + 6.54% + 6.24% + 6.33% = 24.67%
The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24%.
Probability = 0.064/0.2467
= 0.2529
Hence the probability is 0.2529
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Please I need help with this fast!! (I'll also give brainliest!!)
A university student completed courses worth 3 credits and some courses worth 4 credits. The student earned a total of 54 credits after completing 15 courses. How many courses worth 4 credits did the student complete?
A 9
B 6
C 20
D 32
I'm thinking it's 6, but I'm not sure.
The student completed 9 courses worth 4 credits. The solution has been obtained by using the linear equation.
What is a linear equation?
It follows that a linear equation has the highest degree of one. As a result, it is evident that there are no variables in a linear equation with an exponent bigger than one. A straight line is produced by this equation on the graph.
Let the courses worth 3 credits be 'x' and worth 4 credits be 'y'.
We are given that the student earned a total of 54 credits.
So,
3x + 4y = 54 ...(1)
Also, we are given that in total 15 courses were completed.
So,
x + y = 15 ...(2)
From (2), we get
x = 15 - y
Substituting this value in (1), we get
⇒3(15-y) + 4y = 54
⇒45 - 3y + 4y = 54
⇒45 + y = 54
⇒y = 9
Therefore, x = 15-9 = 6
Hence, the student completed 9 courses worth 4 credits.
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The height of a ball thrown straight up from the ground with a velocity of 96ft/s is given by the quadratic function h(t)=-16 t²+96 t . What is the maximum height the ball reaches?
(a) 6ft (b) 128ft (c) 144ft (d) 160ft
The correct option is (c) 144ft
The maximum height the ball reaches is 144ft.
What is quadratic function ?A quadratic function has the form of equation as ax²+ bx + c, where a, b, and c are the numbers not equal to zero. In mathematics, the quadratic function, the quadratic polynomials , 2 degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.
In the question,
h(t)=-16 t²+96 t
and velocity = 96ft/s
out the -16 from the equation.
h(t)= -16 ( t² + 6 t )
h(t) = −16(t² −6t+9−9)
= −16(t² −6t+9)+144
Factor the equation to get a perfect square ,t = 3 then h(t) = 144. The maximum height is 144.
−16(t−3)² +144
Thus, height is 144 ft.
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Does anyone know c & d please
Answer:
c = 100 or 10^2
d = 3125 or 5^5
Step-by-step explanation:
c. the answer for C is 10^2 because you just subtract the exponents same goes for d.
Consider the equation -3*e^5w=-88
solve for the equation w. express the solution as log in base e
Answer: The solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5
Step-by-step explanation: Starting with the given equation:
-3e^(5w) = -88
Dividing both sides by -3:
e^(5w) = 88/3
Taking the natural logarithm of both sides:
ln(e^(5w)) = ln(88/3)
Using the property that ln(e^x) = x:
5w = ln(88/3)
Finally, solving for w by dividing both sides by 5:
w = (1/5)ln(88/3)
So the solution for w, expressed as a natural logarithm, is:
w = ln(88/3) / 5
It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine
In this scenario, the shape of the sampling distribution of X-bar is approximately normal.
The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.
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The product of 0.014 and 100,000 is
_ ...
because the decimal point in 0.014 moves
_ ...
places to the right.
Answer:
5
Step-by-step explanation:
In the case when we multiplied 0.014 by 100,000 so it comes
= 0.014 × 100,000
= 1,400
Since The value 0.014 were times by 5 zeros.
Therefore the decimal point would move 5 places to the right
This may look easy for other ppl.
PLS someone help me on this question. I have a test tomorrow for this. Pls anyone.
Answer:
Step-by-step explanation:
I think you will have a laugh when you see how simple it is.
Answer:
The equation for line a:
y = x
The equation for line b:
y = -2
Step-by-step explanation:
A:
This line is proportional. I know because it is a straight line going through the origin (0,0). I only need to find the slope. In a proportional relationship, the slope is any point on the line put in the form \(\frac{y}{x}\). You could use the point on the line (1,1) or (2,2) or (3,3) or any other point on the line. If I put this in the form \(\frac{y}{x}\), I will always get \(\frac{1}{1}\) which simplifies to 1.
y = mx The slope is 1
y = 1x which is the same as y = x
B:
No matter what x is, y will be -2
y = -2
Helping in the name of Jesus.
please help this is all my points
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Hope this helps :)
Solve: (5x - 3y + 2z)²
Answer:
25\(x^{2}\) - 30xy + 20xz + 9\(y^{2}\) - 12yz + 4\(z^{2}\)
Step-by-step explanation:
We multiply it out.
(5x - 3y + 2z) * (5x - 3y + 2z)
5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z
25\(x^{2}\) - 15xy + 10xz - 15xy + 9\(y^{2}\) - 6yz + 10xz - 6yz + 4\(z^{2}\)
Add like terms
25\(x^{2}\) - 15xy - 15xy + 10xz + 10xz + 9\(y^{2}\) - 6yz - 6yz + 4\(z^{2}\)
25\(x^{2}\) - 30xy + 20xz + 9\(y^{2}\) - 12yz + 4\(z^{2}\)
Your house is at point c. a post office is located directly west of your house at point d. let point e represent your school,
which is directly west of the post office. find the distance from your house to your school if cd = 1.7 miles and de = 2.4
miles.
a 3.1 miles
b. 41 miles
c. 4.3 miles
d. 5.1 miles
The distance between your house and school is 4.1 miles.
According to the given question.
Point c represents your house.
Point d represents post office which is directly west to the point c i.e from house.
And point e represents school which is west of the post office.
Also, it is given that the distance between house and post office, cd is 1.7 miles.
And the distance between the post office and school,de is 2.4 miles.
Now, if we see the attached figure we can say that
cd + de = ce
⇒ 1.7miles + 2.4miles = 4.1 miles
Hence, the distance between your house and school is 4.1 miles.
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In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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lines x and y intersect to make two pairs of vertical angles, q, s and r, t. fill in the blank space in the given proof to prove
The reason to prove that ∠q ≅ ∠s include the following: C) Subtraction property of equality.
What is the vertical angles theorem?In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
In Mathematics and Geometry, the subtraction property of equality states that the two sides of an equation would still remain equal even when the same number has been subtracted from both sides of an equality.
Based on the information provided above, we can logically deduce the following equation:
m∠q + m∠r - m∠r = m∠s + m∠r - m∠r
m∠q = m∠s
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Complete Question:
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s.
A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
write a function drugpotency(loss, expire) that determines how many months a drug can remain in storage given a potency loss percentage (loss) and an expiration target (expire). for example, if a certain drug looses 4% of its effectiveness every month it is in storage, when its effectiveness is below 50% it is considered expired and must be discarded. the output from drugpotency(4.0, 50.0) would be:
Answer:
def drugPotency(loss,expire):
m=0
effectiveness=100
print('Month:',m,'\t','effectiveness:',effectiveness)
while effectiveness>=expire:
effectiveness=effectiveness*(1-loss/100)
m+=1
if effectiveness>=expire:
print('Month:',m,'\t','effectiveness:',effectiveness)
else:
print('Month:',m,'\t','effectiveness:',effectiveness,'DISCARDED')
drugPotency(4.0,50.0)
Step-by-step explanation:
PLS HELP ASAP! GIVING BRAINLY!!
Answer:
A
Step-by-step explanation:
1-0.045=0.955
What is the domain and range of this function?
Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.
Write an addition expression to represent the situation
Answer:
230-300= -70
All you have to do is subtract :)
I have 1/3 brownie a customer buys 3/4Of the pan How much brownies do u have left
Answer:
3/12
Step-by-step explanation:
i need help with this please
Answer:
a) (4, 7) b) (-4,-7)
Step-by-step explanation:
please mark brainliest
what set does the number 12 belong
Answer:
12 is a rational number because it can be expressed as the quotient of two integers: 12 ÷ 1.
12 belongs to the sets of natural numbers, integer numbers, rational numbers, and real numbers.
To what set does the number 12 belong?First, we can see that it is a whole number, so it is an integer number.
Also, all positive integers are natural numbers, so 12 is also a whole number.
Now, we also can rewrite 12 as:
12 = 12/1
So it is a quotient between two integer numbers, thus, 12 is also a rational number.
Finally, the trivial answer, 12 belongs to the set of the real numbers (the set that contains all the numbers).
Concluding:
12 belongs to the sets of whole numbers, integer numbers, rational numbers, and real numbers.
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Lin is trying to convince Andre that all circles are similar. Help her write a valid justification for why all circles are similar
All circles are similar. This is because the properties of a circle are determined by its radius and center point. Circles are two-dimensional shapes with a round border, and all of their points are equidistant from the center.
Since the center and radius of a circle uniquely define its properties, any two circles with the same center and radius will be identical and hence similar. This is called the circle's similarity transformation. It involves scaling the circle's size by a factor of the radius and preserving its shape. In addition, a circle can be rotated around its center point without changing its size or shape.
Therefore, all circles are similar because they have the same properties regardless of their size, orientation, or position. This is why, when comparing different circles, only their size and position need to be considered, not their shape or orientation. all circles are similar because they share the same properties and can be transformed into one another through scaling and rotation.
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To find the volume of a prism, use the equation V = area of base (B) x height (h).
Find the volume of a prism with a base of 25 m² and a height of 5 m.
Work Shown:
V = (area of base) * (height)
V = B*h
V = 25*5
V = 125 m^3
The volume of the prism is 125 cubic meters.