the formula of the midpoint is
\((\frac{x1+x2}{2},\frac{y1+y2}{2})\)A are (-3,4) --> (x1,y1)
B are (x2,y2)
we can repalce A and the midpoint and the formula
\((\frac{-3+x2}{2},\frac{4+y2}{2})=(-5,2)\)and we can equal each coordinate to find x2 and y2
first x2
\(\begin{gathered} \frac{-3+x2}{2}=-5 \\ \\ -3+x2=-5\times2 \\ x2=-10+3 \\ x2=13 \end{gathered}\)now y2
\(\begin{gathered} \frac{4+y2}{2}=2 \\ \\ 4+y2=2\times2 \\ y2=4-4 \\ y2=0 \end{gathered}\)so B is
\((13,0)\)combine like terms in the expression 10g+14k-3k-8g-10k-2g
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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An ecologist is concerned that the number of toads that inhabit an area is declining. Since it is difficult to count the total number of toads exactly, a method that they use to detect the abundance of toads is to measure the time between mating calls during mating season. From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds. Let X denote the random time between mating calls of these toads, and suppose X is normally distributed. The ecologist randomly selects a time between mating calls. Please compute the values up to three decimals ( ex: 0.571) Calculate the probability that the selected time is exactly 1.2 seconds
Answer:
0% probability that the selected time is exactly 1.2 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The probability of a value being equals to x is 0 in the normal distribution.
From a ten-year-old study, the mean time between mating calls was 1.2 seconds with a standard deviation of .3 seconds.
This means that \(\mu = 1.2, \sigma = 0.3\)
Calculate the probability that the selected time is exactly 1.2 seconds?
In the normal distribution, the probability of a finding an exact value is 0. So 0% probability that the selected time is exactly 1.2 seconds.
Write 2 terms that would be considered like terms.
First, we need to understand what are called like terms.
Like terms are numbers that are in the same categories: it could be constants, It could be numbers with same variables such as both having x or y or anyother alphabeth. It could also be numbers with the same power having coefficient in numbers.
Example:
2x + 3x
In this case, both numbers have x as the common terms. Hence you can add or subtract them together.
Another example:
5 + 7
Both are numbers. Also referred to as constant. Hence you can add or subtract them together.
Another example:
\(5x^2\text{ - }3^2\)Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?
Answer:
Betty = $600
Step-by-step explanation:
3/4 of Alice's salary is the same as 1/2 of Betty's salary
(3/4)a = (1/2)b
multiply both sides by 2
(3/2)a = b
Alice earns $200 less than Betty
b - a = 200
Substitute for b
(3/2)a - a = 200
(1/2)a = 200
multiply both sides by 2
a = 400
b = (3/2)400
b = 600
if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
whats the common difference of p+q, p , p-q
Answer:
- q
Step-by-step explanation:
p - ( p + q )
= p - p - q
= - q
p - q - p
= p - p - q
= - q
Common difference is - q.
What is the measure of angel C?
Enter your answer as a decimal. Round only your final answer to the nearest hundredth.
m
Answer:
36.87
Step-by-step explanation:
We can use SOH CAH TOA (sine, cosine, and tangent) to solve this problem.
SOH- means Opposite over Hypotenuse
CAH- means Adjacent over Hypotenuse
TOA- mean Opposite over Adjacent
U can use either one of these to solve this problem, I will be using sine SOH (sine).
sine C = 3/5
sine ^-1 3 divided by 5 =36.8698
So, angle C = 36.8698 and rounded to the nearest hundred is 36.87
Let f(x)= x^2+1. Find and simplify the following:
(a) f(x-4)=
(b) f(x-4)-f(-4)
Answer:
f(x-4) = x²-8x + 17
f(x-4)-f(-4) = x²-8x
Step-by-step explanation:
Given the function:
f(x) = x^2+1
f(x-4) = (x-4)^2+1
f(x-4 ) = x² - 8x + 16 + 1
f(x-4) = x²-8x + 17
For f(x-4)-f(-4)
f(-4) = (-4)²+1
f(-4) = 16+1
f(-4) = 17
f(x-4)-f(-4) = x²-8x + 17 - 17
f(x-4)-f(-4) = x²-8x
Use this expression to name each item. 7m3 + 6r2 – 3r - 8
Answer:
In the given expression \(7m^3 + 6r^2 - 3r - 8\)
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Step-by-step explanation:
We are given the expression \(7m^3 + 6r^2 - 3r - 8\)
We need to give variable, coefficients and constant.
Variable: The value of variable may change. It can be represented by x, y or any other letter
Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient
Constant: It is fixed value. It cannot be changed.
So, in the given expression \(7m^3 + 6r^2 - 3r - 8\)
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
7(x-3)+6=5x-9 please solve the equation fully
Answer:
I love algebra anyways
The ans is x=3 steps is in the picture with the ans
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
1. Quadrilateral LBMN is the result of a 180 degree rotation of Quadrilateral ABCD around point B, write the corresponding angles and segments in the table below.
In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,
∠A = ∠L, ∠D =∠M , ∠C = ∠N , and
AB = LB , CD = NM , DA = ML.
Quadrilateral ABCD rotates 180 degrees around point B,
New quadrilateral formed named LBMN
The corresponding angle after rotation of 180 degrees around B is equals to,
B remain at same position.
A rotates and point L take the position of A.
D rotates and point M take the position of D.
C rotates and point N take the position of C.
Corresponding angle to A is angle L.
Corresponding angle to D is angle M.
Corresponding angle to C is angle N.
Similarly corresponding segments are of ABCD and LBNM are
Line segment AB corresponds to line segment LB.
Line segment CD corresponds to line segment NM
Line segment DA corresponds to line segment ML.
Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.
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11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
Please select the best answer from the choice provided.
Answer:12
Step-by-step explanation:
n*11=4*33
n=4*33/11=3*4=12
6(4 - 2р) + 9p
Can any one help
Answer: p = 8
Step-by-step explanation:
6(4-2p)+9p
24 - 12p + 9p
24 - 3p
-3p = -24
3p = 24
p = 8
Please help me I can’t do this
Answer:
cm^3
Step-by-step explanation:
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
in a study, the sample is chosen by using the random number generator on your ti-83 to generate a number, like 3, then taking every 3rd person in the list
Systematic sampling involves selecting every nth item from a list, potentially with bias and non-random results, so choose carefully.
The method used to choose the sample in this study is called "systematic sampling". This involves selecting a starting point (in this case using a random number generator) and then selecting every nth item (in this case, every 3rd person) from a list to form the sample. This type of sampling can introduce biases in the sample if the list has some pattern or structure, so it's important to be aware of these potential issues when using this method.
In systematic sampling, the selection of each member of the sample is based on a fixed and systematic rule. The advantage of this method is that it is easy to implement and cost-effective. The disadvantage is that if the list has any pattern or structure, such as alternation or clustering, the sample may not be representative of the population. It's important to carefully consider the list and choose an appropriate starting point and interval to reduce the potential for bias.
It's also worth noting that systematic sampling may not result in a random sample, as the sample members may not be independent of each other. This can have implications for the validity of inferences made from the sample to the population. Therefore, it's important to carefully consider the properties of the population and the goals of the study when choosing a sampling method.
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if phil can swim 15 meters in 20 sec, how far can he swim, at the same speed, in 2 minutes.
Answer:
Step-by-step explanation:
The correct answer for this question is Phil can swim 90 meters in 2 minutes.
According to the given question, Phil can swim 15 meters in 20 second.
So, in 1 second, Phil can swim: 15 meters/20 second=0.75 m/s
In other words, the speed of swimming of Phil is 0.75 m/s.
So, in 2 minutes i.e. in 120 second, the distance Phil can travel:
Distance= Speed x Time
Distance= 0.75 m/s x 120 s
Distance= 90 meters.
Hence, Phil swimmed 90 meters in 2 minutes. The speed of Phil is 0.75 m/s which can be used to determine further distances travelled with time if the motion is uniform.
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Two events can have a strong, weak, or no correlation.
True or false
Which expression is equivalent to
Answer:
\(2) \: {a}^{9} {b}^{12} \)
Step-by-step explanation:
\( {( \frac{ {a}^{ - 8} b}{ {a}^{ - 5} {b}^{3} }) }^{ - 3} \\ ( \frac{ {a}^{24} {b}^{3} }{ {a}^{15} {b}^{ - 9}} ) \\ {a}^{24 - 15} \: {b}^{3 - ( - 9)} \\ {a}^{9} {b}^{12} \\ \)
give the rule in words of this pattern 10,13,17,238
Answer:
a set of numbers in order of least to greatest
The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles are there?
Answer:
80?
Step-by-step explanation:
Answer:
80 white candles
Step-by-step explanation:
I use a way that makes it easy for me
2:5 means \(\frac{2}{5}\)
so when you write \(\frac{2}{5} =\)\(\frac{32}{x}\)
that means you do the cross multiplication method which makes the equation go that way:
\(2x=32*5\)
so
\(2x=160\\x= 80\)
A school paid $35.25 for each calculator if the school bought x calculator how much did they pay
Answer:
they pay $x*35.25
Step-by-step explanation:
this is the answer
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
Help me solve (b) in this quadrilateral
Answer:
b = 87°
Step-by-step explanation:
In order to answer this question, we need to utilise an important angle fact which is angles in a quadrilateral add up to 360°
Using the information we can set up an equation to find the value of b
→ Form equation
63 + 140 + 70 + b = 360
→ Simplify
273 + b = 360
→ Minus 273 from both sides isolate b
b = 87°
Answer:
Hello!
The answer is 87 degrees!
I hope I was of help! If not please let me know! Thank you!
Step-by-step explanation:
When is a repeating decimal acceptable to use during calculations? When should you convert a repeating decimal to a fraction for calculations?
A repeating decimal is acceptable to use during calculations when you require a certain level of precision
When is a repeating decimal acceptable to use during calculations?A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.
It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.
On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.
Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.
Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.
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