Answer:
A. 60,000
Step-by-step explanation:
The answer is A because 2 × 3 is 6 then you add the 4 0's. So it would be 60,000
What is the length of AC?
john bought a new game system for $529 how much is he in debt
Answer:
Depending on how much he had before he bought the game system.
What is the vertex of the quadratic function y=3x^2-12x+8
Answer:
the vertex of 3x^2-12+8 is (2,-4)
what is the name commonly used for the table used by statisticians that provides probabilities associated with different areas under a bell-shaped curve?
The commonly used name for the table used by statisticians that provides probabilities associated with different areas under a bell-shaped curve is the standard normal distribution table or the z-table.
The standard normal distribution table is a reference table that helps statisticians and researchers determine the probabilities associated with specific z-scores (standardized values) in a standard normal distribution. It provides the cumulative probabilities or areas under the curve to the left of various z-scores.
By looking up the corresponding z-score in the table, one can find the probability or area under the curve, which aids in various statistical calculations and hypothesis testing. The standard normal distribution table is a valuable tool for analyzing and interpreting data that follows a normal distribution.
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Juan sells 3 oranges for every 2 apples. How many apples should Juan expect to sell
when Juan sells 15 oranges:
Answer:
10 apples
Step-by-step explanation:
We can write a ratio to solve
3 oranges 15 oranges
--------------- = -----------------
2 apples x apples
Using cross products
3x = 2 * 15
3x = 30
Divide by 3 on each side
3x/3 = 30/3
x = 10
Answer:
He can expect to sell 10 apples
Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?
1.) Roll a fair 8-sided die 10 times. What is the probability of rolling 7 exactly 3 of those 10 times?
2.) What is the expected number of 7 you will get if you roll 10 times?
3.) What is the probability that you will roll a 7 fewer than 3 times?
The Probability of receiving 7 three times is 0.0025566, but the likelihood of getting 7 just once is 3.7528.
What is Probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or probability of several outcomes. Statistics is the study of events that follow a probability distribution.
The given question is related to the binomial distribution.
Given n = 10 trials. The probability of one successful trial is p = 1/8. You want k=3 successes and n − k = 7 failures. The probability is:
\((\frac{n}{k}) p^k (1-p)^{n-k}\)
One way to understand this formula: You want k successes (probability: pk) and n−k failures (probability: (1−p)n−k). The successes can occur anywhere in the trials, and there are (n/k) to arrange k successes in n trials.
substituting the values in the given formula.
\((\frac{10}{3}) 1/8^3 (1-1/8)^{10-3}\)
Probability of getting 7, 3 times = \((\frac{10}{3}) 1/8^3 (7/8)^7\)
Probability of getting 7, 3 times = \((\frac{10}{3}) 1/216 (7/8)^7\)
Probability of getting 7, 3 times = 0.0025566
The Same goes for the probability of getting 7 only one times
the probability of getting 7 only one time = \((\frac{10}{1}) 1/8^1 (1-1/8)^{10-1}\)
the probability of getting 7 only one time = 3.7528
Therefore, The Probability of getting 7, 3 times is 0.0025566 and the probability of getting 7 only one time is 3.7528.
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Taylor has 16 crayons, 12 markers, 8 pencils, and 4 pens in his locker. What is the ratio of markers to total items in Taylor’s locker?
Answer:
3:7
Step-by-step explanation:
12:28
6:14
3:7
brainliest please
a consumer affairs investigator records the repair cost for 44 randomly selected tvs. a sample mean of $91.78$91.78 and standard deviation of $23.13$23.13 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
Where:
Sample Mean = $91.78
Standard Deviation = $23.13
Sample Size = 44
Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)
Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))
Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)
Confidence Interval = $91.78 ± (1.645 * $3.49)
Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)
Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)
Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.
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Calvin’s toy airplane flew to an elevation of 168 feet then landed back onto the flat sidewalk from where it was launched. What is the change in elevation?
The change in elevation will be 0.
What is the change in elevation?It should be noted that from the information, Calvin’s toy airplane flew to an elevation of 168 feet then landed back onto the flat sidewalk from where it was launched.
Therefore, when it flew, the expression will be +168.
When it came down, the expression will be -168.
Therefore, the change in elevation will be:
= +168 - 168.
= 0
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Please help with math
Answer:
24420.5
Step-by-step explanation:
Multiply all the numbers together to get the length of the cubiod
221*8.5*13= 24420.5
Hope this helped!
Answer:
\(\Huge \boxed{\mathrm{2 \ cm }}\)
Step-by-step explanation:
\(\sf Volume \ of \ cuboid= length \cdot width \cdot height\)
The width is 8.5 cm.
The height is 13 cm.
The volume is 221 cm³.
\(221 = l \cdot 8.5 \cdot 13\)
Solving for \(l\)
\(221=l \cdot 110.5\)
Dividing both sides by 110.5
\(2=l\)
The length is 2 cm.
Use the distributive property to write an expression equivalent to 3x+21. *
Answer:
3(x+7)
Step-by-step explanation:
Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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Maci spends $750 each month or groceries, How much does she spend altogether in 1 year (12 months)?
Lucas and Mitchell were asked to add the numbers 3.54 and 12.09.
Lucas stated that he completed the addition problem by using the following method:
First, I broke the numbers apart. I broke 3.54 into 3.00+0.50+0.04 and 12.09 into 12.00+0.09.
Then, I combined 0.04 and 0.09 to get 0.13.
Next, I combined 0.13 and 0.50 to get 0.63.
Then, I combined 3.00+12.00 to get 15.00.
Finally, I added the decimal to get 15.63.
Mitchell stated that he completed the addition problem by using the following method:
First, I added the whole numbers to get 3.00+12.00=15.00.
Next, I added the numbers in the tenths place, 0.50+0.00=0.50.
Then, I added the numbers in the hundredths place, 0.04+0.09=0.013.
I then added 0.50 and 0.013 to get 0.513.
Lastly, I added the decimal to the whole number to get 15.513.
Determine if Lucas and/or Mitchell had a flaw in their method. If they did, correct the flaw(s) so that both the methods used are correct. PLZ ANSWER THE QUESTION!
Answer:
0.22
Step-by-step explanation:
The sum of Melanie's and her brother's ages is 35. Four years from now, Melanie will be 5 years older than her brother. How old is Melanie? How old is her brother?
Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
PLEASE HELP! I'LL GIVE BRAINLIEST:)
The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)
Step-by-step explanation:
We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :
\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)
Given, the equation of circle
\( {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} \)
By comparing, we will get,
h = -2
k = 3
So, center of the circle is ( -2,3)
\(\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ \)
Answer:
-2;3
Step-by-step explanation:
we have a formular
(x-a)^2 +(y-b)^2=c
the center of the cirlce is (a;b)
so in this case it's (-2;3)
In the diagram, AB is 6 units, BC is 30 units, and AE is 4 units.
Triangle A C D is shown. Line segment B E is drawn from side C A to side D A to form triangle A B E. The length of C B is 30, the length of B A is 6, and the length of A E is 4.
If by the SAS similarity theorem, what is AD?
16 units
20 units
24 units
28 units
Answer:
the answer to your question is 24 units,
Step-by-step explanation:
it's right on edge 2021
Answer:
24
Step-by-step explanation:
edg 2021
The price of an item has risen to $120 today. Yesterday it was $40. Find the percentage increase.
Answer:
200%
Step-by-step explanation:
If $40 is 100% then multiply it by 3 to get $120
Answer:
120 - 40 = 90 so the answer is $90
HELP PLEASE!! you only have to do B
The values of a and b in the equations are 100 each
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
The given equations are
a. 5x²/2 when x = 10
By substitution, a= 5(10)²/2
This implies that a=( 5 * 100)/2
a= 200/2 = 100
b = [2x²(x-5)]/10x
Substituting x=10 in the equation we have
b = 2*10²(10-5)]/[10(10)]
200(5)/100
b= 10000/100
Therefore b = 100
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PLEASE ANSWER QUICKLY
Answer:
i think c
Step-by-step explanation:
Carly is playing the Integer Game. She draws four cards: -3, -8, 9, 4. What is the value of her hand?
Answer:
-3+-8+9+4= 2
Hope this helps.
Answer:
The value is positive 2
Step-by-step explanation:
(-3)+(-8)=(-11)
9+4=13
(-11)+ 13=2
8. (06.04 MC)
Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of r. (1 point)
O 80 cm²
96 cm²
128 cm²
192 cm²
The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
Calculating Total surface area of a CylinderFrom the question, we are to determine the total surface area of the cylinder
The total surface area of a cylinder can be calculated by using the formula,
T.S.A = 2πr² + 2πrh = 2πr(r +h)
Where r is the radius
and h is the height
From the given information,
h = 8 cm
r = 4 cm
Putting the parameters into the formula, we get
T.S.A = 2π×4(4 +8)
T.S.A = 8π(12)
T.S.A = 96π cm²
Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
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a stick has a length of $5$ units. the stick is then broken at two points, chosen at random. what is the probability that all three resulting pieces are shorter than $3$ units?
A stick has a length of 5 units and the stick is then broken at two points, chosen at random, then the probability that all three resulting pieces are shorter than 3 units is 16%.
Total length of the stick = 5 units
The stick is broken into pieces = 3
The equal length of the stick = 5/3
The equal length of the stick = 1.67
The probability that all three resulting pieces are shorter than 3 units = 2/5 × 2/5
The probability that all three resulting pieces are shorter than 3 units = 4/25
The probability that all three resulting pieces are shorter than 3 units = 0.16
The probability that all three resulting pieces are shorter than 3 units = 16%
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Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
Percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
As given in the question,
Money spent on
Each equipment = $36
Fees = $158
Transportation = $59
Total money spent = $( 36 + 158 + 59)
= $253
Percent cost of the total spent on
Each equipment = (36/253) × 100
= 14.23%
Fees = (36/253) × 100
= 62.45%
Transportation =(36/253) × 100
= 23.32%
Therefore, percent cost of the total spent on
each equipment = 14.23%,fees=62.45% and transportation = 23.32%.
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The prosecutor claims: "There is a 1% chance that the defendant would have the crime blood type if he were innocent. Thus, there is 99% chance that he is guilty." This is known as prosecutor’s fallacy. What is wrong with this argument?
The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.
This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.
It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.
In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.
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Maximize Z = 120 x1 + 80 x2, S.T. x1 ≤ 40 x2 ≤ 10 20 x1 + 10 x2 < 500 and x1 ≥ 0, x2 ≥ 0. Use the graphical method to solve this model (show detailed work)
the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.
To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:
1. Plot the constraints:
- Plot the line x1 = 40 (vertical line at x1 = 40).
- Plot the line x2 = 10 (horizontal line at x2 = 10).
- Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).
- Shade the feasible region that satisfies all the constraints.
2. Identify the corner points:
- Determine the coordinates of the corner points where the boundary lines intersect.
3. Evaluate the objective function:
- Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.
4. Determine the optimal solution:
- Select the corner point that maximizes the objective function Z.
Here's the graphical representation of the feasible region:
|
40 | C
| /
| /
| /
| /
| /
| / Feasible Region
10 |_____/_________________
0 10 20 30 40 50
0`
The corner points of the feasible region are:
A: (0, 0)
B: (0, 10)
C: (25, 0)
D: (20, 5)
Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:
Z(A) = 120(0) + 80(0) = 0
Z(B) = 120(0) + 80(10) = 800
Z(C) = 120(25) + 80(0) = 3000
Z(D) = 120(20) + 80(5) = 2400
From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).
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What is a response variable in stats?
A response variable in statistics is a variable that is being measured or observed in a study. It is thought to be affected by the explanatory variable.
Response variable in statistics is a variable that is being measured or observed in a study. It is also known as the dependent variable or the outcome variable.
This variable is thought to be affected by the explanatory variable, also known as the independent variable.
This allows us to understand if the changes involved are significantly related or not or whether it is due to certain factors.
For example, if a study is examining the effect of exercise on weight loss, the response variable would be weight loss and the explanatory variable would be exercise. The response variable is typically plotted on the y-axis of a graph, while the explanatory variable is plotted on the x-axis.
In summary, a response variable in statistics is a variable that is being measured or observed in a study.
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Which expression is equivalent to 7-3(2x + 5)?
x
1x
x
A
7-6x+5
B 4(2x + 5)
C 6x-8
D 7-3(7x)
The expression 7 - 3(2x + 5) is equivalent to -6x - 8.
Which of the given expressions is equivalent to 7-3(2x + 5)?Given the expression in the question:
7 - 3(2x + 5)
We can simplify this expression using the distributive property of multiplication over addition or subtraction.
According to this property, when a number is multiplied by a sum or difference, we can distribute the multiplication over each term within the parentheses.
So, applying the distributive property, we get:
7 - 3(2x + 5)
7 - 3 × 2x -3 × 5
= 7 - 6x - 15
Simplifying further, we can combine like terms:
= -6x - 8
Therefore, the expression to -6x - 8, which is option C.
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Writing each fraction of mixed number by a decimal.
Problem: What is 0.23 ?