Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
A grinding process has an upper specification of 1.649 inches and a lower specification of 1.507 inches. A sample of parts had a mean of 1.57 inches with a standard deviaiton of 0.026 inches.
Round your answer to four decimal places.
What is the process capability index for this system?
Answer:
The process capability index for this system is 0.9103
Step-by-step explanation:
Upper specification = 1.649 inches
Lowe Specification = 1.507 inches
Mean = 1.57 inches
Standard Deviation = 0.026 inches
Process Capability Index = PCI
PCI = (Upper specification - lower specification)/6(standard deviation)
So, we get,
PCI = (1.649 - 1.507)/((6)(0.026))
PCI = 0.142/0.156
PCI = 0.9102564
To four decimal places, we get,
PCI = 0.9103
The temperature at the beginning of a science
experiment was 83.5°F. During the 4 1/2 hour
experiment, the temperature of the liquid was
decreased at a constant rate until it reached 76 3/4 °F.
What was the rate of change in temperature
each hour?
Answer:
Rate of change in temperature = -1.5 ° F per hour
Step-by-step explanation:
Temperature at beginning of experiment: 83.5 °F
Temperature at end of experiment: 76.75 °F (3/4 = 0.75)
Change in temperature = 76.75 - 83.5 = - 6.75 °F
(The change is negative since temperature is decreasing)
Time taken for this drop in temperature = 4 1/2 hours = 4.5 hours
Rate of change of temperature per hour
= Change in temperature/time taken
\(=\dfrac{-6.75}{4.5}\\\\\\= -1.5 \;^\circ F\) per hour
Help me out here please, ill give so many points, answer In paper and send a picture of it, thanks.
What are the five guidelines when solving equations?
what is the value of x
Answer:
20
Step-by-step explanation:
because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find
angle 5 = 135
angle 5 and 5x+35 are alternate interior angles, so they have the same value
135=5x+35
100=5x
20=x
Answer:
Thanks for the points :3
Please help I have 2 more questions in my warm up.. I will give brainiest to whoever can answer
Answer:
9
Step-by-step explanation:
Just count the many units to get to each point.
multiply or divide write your answer in simplest form 3/6 x 7/10
Answer:
0.35
Step-by-step explanation:
3/6=1/2
7/10=0.7
1/2=0.5,0.5×0.7
=0.35
Answer: 7/20
Step-by-step explanation:
3/6*7/10= 0.35
First write down the decimal number divided by 1 like this:
0.35
1
As we have 2 digits after the decimal point in the numerator, we need to multiply both the numerator and denominator by 102 = 100, so that there is no decimal point in the numerator
0.35 × 100
1 × 100
=
35
100
Since the greatest common factor of 35 and 100 is 5, we can simplify the fraction and show the same amount
35 ÷ 5
100 ÷ 5
=
7
20
Therefore, 0.35 as a fraction is 7/20
The dimensions of a closed rectangular box are measured as 60 centimeters, 70 centimeters, and 100 centimeters, with an error in each measurement of at most .2 centimeters. Use differentials to estimate the maximum error in calculating the surface area of the box.
The maximum error in calculating the surface area of the rectangular box is 184.
What is a Rectangle?A rectangle is just a quadrilateral with equal angles and opposite sides that are equal & parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and width.
The length of a rectangle is the longer side, while the width is the shorter side.
Now according to the question;
The total surface area of the rectangle is;
L= length, W = Width and H = height
A = 2LW + 2WH + 2LH
Differentiating the area;
dA=[2*(dL)*W+2*L*(dW)]+[2*(dW)*H+2*W*(dH)]+[2*(dL)*H+2*L*(dH)]
dA is the maximum error.
As, the error obtained on each side is same as 0.2.
dL=dW=dH=0.2cm
L=100cm
W=70cm
H=60cm
Simply enter the value into the above calculation, and the resulting value is your maximum error.
dA=[2*(0.2)*100+2*70*(0.2)]+[2*(0.2)*70+2*60*(0.2)]+[2*(0.2)*60+2*100*(0.2)]
dA=184
Therefore, the maximum error in calculating the surface area of the box is 184.
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Which angles are alternate interior angles?
Answer:
∠JKH and ∠IHK
Step-by-step explanation:
∠JKH and ∠LHK are a linear pair
∠JKH and ∠IHK are supplementary
∠JKH and ∠IHK are same-side interior angles
I really need help and if I don't get this done by today I am going to get a zero https://s3.amazonaws.com/content.accelerate-ed.com/Elementary/docs/Math5/Module10Assignment1.pdf pls help I am going to cry
Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.
Step-by-step explanation:
The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1. 7 + 1. 48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction?
While linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
This is an example of using linear regression to predict the weight of a kitten at a specific time (10 weeks in this case) based on the given linear model ŷ = 1.7 + 1.48t.
Using linear regression to make predictions is a common practice and can provide reasonable estimates in many cases. However, whether it is considered a best practice for prediction depends on various factors. Here are a few considerations:
Data quality: The accuracy and reliability of the predictions heavily depend on the quality of the data used to build the linear model. If the data used for training the model is representative and accurately reflects the underlying relationship, the predictions are likely to be more reliable.
Linearity assumption: Linear regression assumes a linear relationship between the predictor variable (in this case, time) and the response variable (kitten weight). If the relationship is not truly linear, the predictions may be less accurate. It is important to assess the linearity assumption and consider alternative models if needed.
Extrapolation: When making predictions outside the range of the observed data (such as predicting the weight at 10 weeks when the data only goes up to 8 weeks), caution should be exercised. Extrapolating beyond the observed range can introduce more uncertainty and may lead to less accurate predictions.
In summary, while linear regression can be a useful tool for prediction, it is important to consider the quality of the data, assess the linearity assumption, and be cautious when extrapolating beyond the observed data range.
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Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.
(a) How many games will be played in the first round?
The number of games that will be played in the first round will be 14 games.
How to calculate the value?It should be noted that the appropriate function to use in this scenario will be:
= (n - 1) × 2
where n = total number of people participating.
Therefore, this will be:
= (n - 1) × 2
= (8 - 1) × 2
= 7 × 2
= 14
Therefore, the number of games that will be played in the first round will be 14 games.
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Norma Jean makes $25 per hour. She works 35 hours per week. She get a commission of 15% on her total sales. How much should Norma sell to make $4,500 in a single week?
Answer:$24167
Step-by-step explanation: Without commission Norma makes $875 a week. Subtract that from 4500 to get 3625 you then divide that by .15 to get the amount needed to sell which is $24167
Kirsten drew two sides of a square on the grid shown below. Each side had a length of 5 units. The three vertices of the square are shown on the grid.
u Pau
у
5
+
3
2
2
1 2 3 4 5
X
-5-4-3 -2 -10
-2
-2
N
4
Which of the following ordered pairs best describes the location of the fourth vertex of the square?
O A. (2.2)
O B. (2.1)
O C. (12)
Answer:
If each square (from the squared paper) has side length 1, then that hexagon has four sides of length √12+42=√17 and two sides of length √32+32=√18.Step-by-step explanation:
f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)
The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.
The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:
1. The first term is 421 + 222, which equals 643.
2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.
3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.
4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.
5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.
6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.
7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.
8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.
9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.
Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:
- 421 + 222 = 643
- 3x² + 213 = 225
- 5x11² = 1210
- (√₁+√₂)² = 9
- 10ln(₁) ≈ 6.9314718
- (x₁+x₂)(x² + x3) = 408
The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.
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3 (x - 5) = 6
solve for x
Answer:
7
Step-by-step explanation:
First you do the distributive property
3x -15=6
Second add 15 from both sides
3x=21
Divided by 3
×=7
Solve the non-standard equation for x.
-18 + x = -4
Answer:
x = 14
Step-by-step explanation:
(c) how large a sample size is necessary if the width of the 95% interval is to be 0.45? (round your answer up to the nearest whole number.)
Answer:
171/400 or 0.4275
Step-by-step explanation:
multiply the expressions and simplify
Find the simplified product:
9x* *3x8
4
0 2/126²²
o 327x2
12
3x4
оо
9x
DONE
Answer:
\(3 {x}^{4} \)
Step-by-step explanation:
\(\huge \sqrt[3]{9 {x}^{4} } . \sqrt[3]{3 {x}^{8} } \\ \\ \huge = \sqrt[3]{9 {x}^{4} \times 3 {x}^{8} } \\ \\\huge = \sqrt[3]{27 {x}^{12} } \\ \\ \huge\orange{= 3 {x}^{4} }\)
Will give brainliest if correct.
Answer:
slope is 5, y intercept is -7
Step-by-step explanation:
In the form y=mx+c, m is the slope and c is the y-intercept.
Rearrange the formula to fit this form:
5x-y=7
-y=7-5x
y=5x-7
∴m(slope)=5
∴c(y-intercept)=-7
If you want to buy an item in a store that costs $44.50 and is on sale for 25%
off, then how much would the item actually cost you after the discount?
Round to the nearest cent.
Answer:
$33.38
Step-by-step explanation:
25% off means you pay (100-25)=75% of the actual amount.
You change 75% to 0.75.
The actual amount you want to spend is 44.50 *0.75 = 33.375
Round this to nearest cent which is $33.38.
Choose the statements that describe characteristics of a probability distribution?a. Half of the possible outcomes have associated probabilities grater than 0.5.b. The probability of an outcome is between 0 and 1.c. The sum of the probabilities of all possible outcomes is 1.d. The distribution is symmetrical.e. The outcomes are mutually exclusive.
the key characteristics of a probability distribution include the probability of an outcome being between 0 and 1, the sum of the probabilities of all possible outcomes equaling 1, and the outcomes being mutually exclusive.
A probability distribution is a function that describes the likelihood of different outcomes of a random event. The characteristics of a probability distribution include the following:
a. Half of the possible outcomes have associated probabilities greater than 0.5: This statement is not true for all probability distributions. The probabilities associated with each possible outcome can vary and are not necessarily evenly distributed.
b. The probability of an outcome is between 0 and 1: This statement is true for all probability distributions. The probability of any possible outcome must be greater than or equal to 0 and less than or equal to 1.
c. The sum of the probabilities of all possible outcomes is 1: This statement is true for all probability distributions. The sum of the probabilities associated with all possible outcomes must equal 1, which ensures that the probability distribution accounts for all possible outcomes of an event.
d. The distribution is symmetrical: This statement is not true for all probability distributions. The shape of a probability distribution can vary and may be symmetrical, skewed, or bimodal, depending on the nature of the event.
e. The outcomes are mutually exclusive: This statement is generally true for probability distributions. The outcomes of an event are said to be mutually exclusive if they cannot occur simultaneously. For example, in a coin toss, the outcome can either be heads or tails, but it cannot be both at the same time.
In summary, the key characteristics of a probability distribution include the probability of an outcome being between 0 and 1, the sum of the probabilities of all possible outcomes equaling 1, and the outcomes being mutually exclusive. However, the probabilities associated with each possible outcome can vary, and the distribution may not be symmetrical
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the label on a bag of chocolates states that there are `0.384` pounds of chocolates. the actual weight of the chocolates is `0.3798` pounds. are the chocolates heavier or lighter than the weight stated on the label?
The weight of the chocolates is lighter than the weight stated on the label.
This is due to the fact that the actual weight of the chocolates is `0.3798` pounds and the label states that there are `0.384` pounds of chocolates. Therefore, the chocolates are lighter than the weight stated on the label. The weight of chocolates can be calculated as:
Weight = 0.384 lbs
However, the actual weight of the chocolates is given as:
Actual Weight = 0.3798 lbs
Since, the actual weight of chocolates is less than the weight stated on the label, the chocolates are lighter than the weight stated on the label.
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Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of z), the absolute value of y, and the square root of (xy to the power of z).
\(x^y^z\) , \(|x|\) are the output of 1st 2 question and for the second question
the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
\(\sqrt{(xy)^z}\)
float x , float y , float z
x = Get new line of input
y = Get new line of input
z = Get new line of input
Place RaiseToPower(x, y) in the output.
Place RaiseToPower(x, RaiseToPower(y, z)) to get output
Put abs(x) to output
where abs(x) is absolute value of x
Place SquareRoot(RaiseToPower(x*y, z)) to get disired output
The very first three lines of code simply declare the float type (a number with decimal points) data type of the x, y, and z variables.
After the initial three lines, the user's input is asked in the following three lines.
Coral's Put instruction is used to output an expression for display on the console.
I'm using Coral's built-in RaiseToPower math function to instruct the interpreter to output the value of x raised to the power of y to the console for the initial Put command.
Although the subsequent calculation RaiseToPower(x, RaiseToPower(y, z)) appears to be nested, it actually performs this: \(x^y^z\)
The next computation is AbsoluteValue(x) is doing this \(|x|\)
And the final computation SquareRoot(RaiseToPower(x*y, z)) is doing this:
\(\sqrt{(xy)^z}\)
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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X=
2 Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to
find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount
of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
5
16+ 4c = 2/
SOLUTION
The value of b is 3.
The value of c is 1/8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 5 = 9 is an equation.
We have,
Two equations given are:
b = 24c ____(1)
(1/4)b + 4c = 5/4 _____(2)
Putting (1) in (2) we get,
(1/4)24c + 4c = 5/4
6c + 4c = 5/4
10c = 5/4
c = 5/40
c = 1/8
Putting c = 1/8 in (1) we get,
b = 24/8
b = 3
Thus,
b = 3.
c = 1/8.
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To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.
12 eggs Over 2 tablespoons
15 eggs Over 3 tablespoons
24 eggs Over 4 tablespoons
9 eggs Over 1.5 tablespoons
Answer:
12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons
Step-by-step explanation:
1 tablespoon of butter for every 6 eggs makes the ratio 6:1
Now let's make the ratio for all of them:
12:2
15:3
24:4
9:1.5
We can simplify them
6:1
5:1
6:1
6:1
There is your answer,
1) 12 eggs Over 2 tablespoons
2) 15 eggs Over 3 tablespoons
3) 9 eggs Over 1.5 tablespoons
Hope it helped :)
PLS HELP OMG ITS ALGEBRA 1 im gonna drop out at this point
Answer: h≈3.42in
Good luck!
Which angle is vertical to DEA
The angle vertically opposite to ∠DEA is ∠BEC.
How to find vertical angles?Vertical angles are angles that are opposite of each other when two lines cross.
In other words, when line segment intersect each other, vertical angles are formed.
Vertical angles are congruent to each other.
Therefore, the angle vertical to angle DEA can be found as follows:
∠DEA is vertically opposite to ∠BEC
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Instructions: given the following coordinates complete the reflection transformation.
a(-5,2)
b(-1,5)
c(0,3)
transformation: complete the double reflection over the lines x = 1 followed by x = 3.
a"
b"
c"
To complete the double reflection transformation over the lines x = 1 and x = 3, we need to reflect each point twice.
For point a(-5,2), the first reflection over x = 1 will give us a'(-9,2).
The second reflection over x = 3 will give us a"(-7,2).
For point b(-1,5), the first reflection over x = 1 will give us b'(-3,5).
The second reflection over x = 3 will give us b"(-5,5).
For point c(0,3), the first reflection over x = 1 will give us c'(2,3).
The second reflection over x = 3 will give us c"(4,3).
So, the coordinates after the double reflection transformation are:
a"(-7,2), b"(-5,5), and c"(4,3).
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