Answer:
d=sqrt29
Step-by-step explanation:
This problem requires the distance formula, d = sqrt([x1 - x2]^2 + [y1-y2])
x1 and y1 are the x and y coordinates of the first point, and x2 and y2 the second.
Plug in the values.
d = sqrt([4 - 2]^2 + [7-2]^2)
Simplify
d=sqrt(2^2 + 5^2)
d = sqrt(4 + 25)
d=sqrt29
If you'd like a visual representation of the distance formula, google it and it will show you.
A boy has 27 cubes, each with sides the length of 1cm. He uses these cubes to build one big cube. What is the volume of the big cube?
Answer:54
volume:side*side*side
side:1 cm*1 cm *1 cm
answer=icm
The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of pgreater than0.5,which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Why?
Answer:
0.001
Step-by-step explanation:
Here, the aim is to support the null hypothesis, Ha. Where Ha: p > 0.5. Which means we are to reject null hypothesis H0. Where H0: p = 0.5.
The higher the pvalue, the higher the evidence of success. We know If the pvalue is less than level of significance, the null hypothesis H0 is rejected.
Hence the smallest possible value 0.001 is preferred as the pvalue because it corresponds to the sample evidence that most strongly supports the alternative hypothesis that the method is effective
Use the formula m =
V2 - V1
X2 - X1
to calculate the slope of the
line.
The slope of the line is -1
Answer:
[tex]\displaystyle m=2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (-6, -8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{-8-8}{-6-2}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-16}{-8}[/tex][Fraction] Divide: [tex]\displaystyle m=2[/tex]Are 4x and 15 + x equivalent expressions? Explain your reasoning.
Combine the like terms to create an equivalent expression: -12 - 6p - (-2)
Answer:
-6p -10
Step-by-step explanation:
-12 - 6p - (-2)
Subtracting a negative is like adding
-12 - 6p + (2)
Combine like terms
-6p -12+2
-6p -10
Answer:
-6p=10
Step-by-step explanation:
-12 - 6p - (-2) to combine like expression
-12-6p+2
-6p-10 to create equivalent expression an equal sign is used
-6p=10
When the factors of a trinomial are (x + p) and (x + 9) then the constant term
of the trinomial is:
Answer:
9p
Step-by-step explanation:
(x + p)(x + 9) =
= x^2 + 9x + px + 9p
= x^2 + (9 + p)x + 9p
The constant term is 9p.
A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot
Answer:
28 feet
Step-by-step explanation:
area of a square = side times side; the sides are equal
50 = side times side or 50 = side^2
sqroot of 50 = sqroot of side^2
7 feet is about the size of the side of the square so using that information..
2 length + 2 width or 4 side
4 times 7 = 28
the perimeter is 28 feet
A coin is tossed 8 times. Which of the following represents the probability of
the coin landing on heads all 8 times?
Answer:
1.25
Step-by-step explanation:
Write the equation of each line in slope intercept form (If possible please show work)
Answer:
y= -2/3 x - 9
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -2/3 x+b
We have a point to substitute into the equation
-5 = -2/3(-6) +b
-5 = 4 +b
Subtract 4 from each side
-5-4 = 4-4+b
-9 = b
y= -2/3 x - 9
Explain why it is preferable to perform a model utility test before using an estimated regression model to make predictions or to estimate the mean y value for specified values of the independent variables
Answer:
The answer is explained below
Step-by-step explanation:
The reason for making the regression is generally to make predictions. So one should ask in what situations is the resulting estimated regression line y = b0 + b1 * x useful. In other words, since there is a linear relationship between x and y, in what situations would it be valid to say that the knowledge of the value x is not useful to predict a corresponding y.
When the value of B1 (or, equivalently, of p) is zero. However, it is entirely possible that B1 is 0 while b1 (our estimate for) is not zero due to random fluctuations between samples. Therefore, we require an inference procedure.
One of the inference procedures is that the model utility test is used to determine if there is any useful relationship between the dependent variable and the specified values of the independent variables.
So before using an estimated regression model, we run a utility test of the model
Select the equation that most accurately depicts the word problem. One-half of a certain number is 95. - n = 95 + n = 95 • n = 95 ÷ n = 95
Answer:
[tex] n * \frac{1}{2} = 95 [/tex]
Step-by-step explanation:
Required:
Select the equation that most accurately depicts the word problem
One-half of a certain number is 95.
Take the certain number to be n.
This statement in equation form will be:[tex] n * \frac{1}{2} = 95 [/tex]
Therefore, the equation that most accurately depicts the word problem is [tex] n * \frac{1}{2} = 95 [/tex]
Although your options are incomplete, but this answer is correct.
The * symbol can be replaced with a dot sign
Answer:
up up up up
Step-by-step explanation:
Suppose that the relationship between the tax rate t on imported shoes and the total sales S (in millions of dollars) is given by the function below. Find the tax rate t that maximizes revenue for the government. (Round your answer to three decimal places.)
S(t) = 7 â 6(cubedroot(t))
Answer:
66.992%
Step-by-step explanation:
[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]
Since we want to maximize revenue for the government
Government's Revenue= Sales X Tax Rate
[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]
To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.
Now:
[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]
Setting the derivative equal to zero
[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]
Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.
[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]
R''(0.6692)=-3.48 (which is negative)
Therefore, t=0.66992 is a relative maximum for R(t).
The tax rate, t that maximizes revenue for the government is:
=0.66992 X 100
t=66.992% (correct to 3 decimal places)
look at the right triangle ABC
Answer: A) Justification 1
Step-by-step explanation:
The student did not match the angles correctly.
∠ABC = 90° and ∠BCD = 60° so they cannot state that the angles are congruent. The other statement on that line is wrong also, but is irrelevant since there is already an error in that line.
What is the domain of the relation graphed below?
Answer:
domain: (-4,4)
Step-by-step explanation:
i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4
Identify the amount, base, and percent in the problem:
What is 60% of 485?
Answer:
amount 291 I'm not sure abt the others
Please answer this correctly
Answer:
1/64
Step-by-step explanation:
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
[tex]1/8 \times 1/8[/tex]
[tex]= 1/64[/tex]
1/64
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
1/8 \times 1/81/8×1/8
= 1/64=1/64
Find the sum of the positive divisors of 18.
Answer:
39
Step-by-step explanation:
factors of 18= 1, 2, 3, 6, 9, 18
1+2+3+6+9+18=39
Answer:
39
Step-by-step explanation:
The divisors of 18 are ...
1, 2, 3, 6, 9, 18
Their sum is ...
1 + 2 + 3 + 6 + 9 + 18 = 39
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
Click on the datafile logo to reference the data.
6 4 6 8 7 7 6 3 3 8 10 4 8
7 8 7 5 9 5 8 4 3 8 5 5 4
4 4 8 4 5 6 2 5 9 9 8 4 8
9 9 5 9 7 8 3 10 8 9 6
Develop a 95% confidence interval estimate of the population mean rating for Miami. If required, round your answers to two decimal places. Do not round intermediate calculations.
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean, when the population standard deviation is not provided is:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
The sample selected is of size, n = 50.
The critical value of t for 95% confidence level and (n - 1) = 49 degrees of freedom is:
[tex]t_{\alpha/2, (n-1)}=t_{0.05/2, 49}=2.000[/tex]
*Use a t-table.
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum {x}=\frac{1}{50}\times [6+4+6+...+9+6]=6.34\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{50-1}\times 229.22}=2.163[/tex]
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}[/tex]
[tex]=6.34\pm 2.00\times\frac{2.163}{\sqrt{50}}\\\\=6.34\pm 0.612\\\\=(5.728, 6.952)\\\\\approx(5.7, 7.0)[/tex]
Thus, the 95% confidence interval estimate of the population mean rating for Miami is (5.7, 7.0).
cube root of 99 is 4.626 find the cube root of 792
Answer:
the answer is: 9.25
Step-by-step explanation:
the cube root of 792 is approximately 9.252.
To find the cube root of 792, we can use the relationship between cube roots and cube numbers.
If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.
Let's calculate the cube root of 792 using the relationship:
(cube root of 792) = (cube root of 99) * (cube root of 8)
Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:
(cube root of 792) = (4.626) * (cube root of 8)
Now, we need to find the cube root of 8:
(cube root of 8) = 2
Substituting this value back into the equation, we get:
(cube root of 792) = (4.626) * (2) = 9.252
Therefore, the cube root of 792 is approximately 9.252.
Learn more about cube root here
https://brainly.com/question/31599754
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The sum of two intcgers is -6. If one of them is 2, then the other is
(a) 4
(b) 4
(c) 8
(d) -8
Answer:
D) -8
Step-by-step explanation:
If you add a positive and a negative, you end up subtracting. If your sum is lower than any of the numbers you are adding together, then there is a negative. In this case, your only negative number is -8, but if there were others, you could find this equation by doing negative six minus two (because the equation was originally addition, it would still be subtraction to check your work or find the answer in this case.)
Hopefully you find this useful :)
Answer: -8
Step-by-step explanation: lets take the unknown number as x,
so we have, 2 + x= -6
by using transposition method, x= -6-2( positive becomes
negative when transpositioning)
so, x= -8
A certain three-cylinder combination lock has 65 numbers on it. To open it, you turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder and so on until a three-number lock combination has been effected. Repetitions are allowed, and any of the 65 numbers can be used at each step to form the combination. What is the probability of guessing a lock combination on the first try?
Answer:
1/275,625 ≈ 3.641×10^-6
Step-by-step explanation:
There are 65×65×65 = 274,625 possible combinations. The probability of guessing the correct one is 1/275,625 ≈ 3.641×10^-6.
A 50 gram sample of a substance that's
used to treat thyroid disorders has a k
value of 0.1137.
The question is incomplete. Here is the complete question.
A 50 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.1137. Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer: [tex]t_{1/2}[/tex] = 6.1 days
Step-by-step explanation: Half-life is the amount of time necessary for a substance to reduce to half of its initial value.
To determine half-life through mass of a substance:
[tex]N = N_{0}.e^{-kt_{1/2}}[/tex]
Initially, there are 50 grams. After 1 half-life, there are 25 grams:
[tex]25 = 50.e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{25}{50} = e^{-0.1137.t_{1/2}}[/tex]
[tex]\frac{1}{2} = e^{-0.1137.t_{1/2}}[/tex]
[tex]ln (\frac{1}{2} ) = ln (e^{-0.1137.t_{1/2}})[/tex]
ln(1) - ln(2) = -0.1137.[tex]t_{1/2}[/tex]
[tex]t_{1/2} = \frac{- ln(2)}{- 0.1137}[/tex]
[tex]t_{1/2} =[/tex] 6.1
The half-life of the sample substance is 6.1 days.
How many ways can you distribute $4$ identical balls among $4$ identical boxes?
Answer:
5 ways
Step-by-step explanation:
We have to name the cases.
1. 4 - 0 - 0 - 0
2. 3 - 1 - 0 - 0
3. 2 - 2 - 0 - 0
4. 2 - 1 - 1 - 0
5. 1 - 1 - 1 - 1
We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.
There are 35 ways to distribute 4 identical balls among 4 identical boxes
How to determine the number of ways?The given parameters are:
Balls, n = 4
Boxes, r = 4
The number of ways is then calculated as:
(n + r - 1)C(r - 1)
This gives
(4 + 4 - 1)C(4 - 1)
Evaluate
7C3
Apply the combination formula
7C3 = 7!/((7 - 3)! * 3!)
Evaluate the difference
7C3 = 7!/(4! * 3!)
Evaluate the expression
7C3 = 35
Hence, the number of ways is 35
Read more about combination at:
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Write an expression:
You bought four
sandwiches that cost
$2.50 each and two
drinks that cost d
dollars each.
Answer:
2d + 10.
Step-by-step explanation:
If four sandwiches cost $2.50 each, you have 4 * 2.5.
If two drinks cost $d each, you have 2 * d.
4 * 2.5 + 2 * d
= 10 + 2d
= 2d + 10.
Hope this helps!
Solve the logarithmic equation. When necessary, round answer to the nearest hundredth. log 4 (x over 2) = 2
Answer:
The solution is x = 32.
Step-by-step explanation:
To solve the logarithmic equation [tex]\log _4\left(\frac{x}{2}\right)=2[/tex] you must:
Use the logarithmic definition [tex]\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex].
[tex]\log _4\left(\frac{x}{2}\right)=2\quad \Rightarrow \quad \frac{x}{2}=4^2[/tex]
Multiply both sides by 2
[tex]\frac{x}{2}\cdot \:2=4^2\cdot \:2[/tex]
Simplify
[tex]x=32[/tex]
If we transform the parabola y = (x + 1)2 + 2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola? ( a0, a1)
Answer:
(6,-3)
Step-by-step explanation:
Not sure how to solve this
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
x = 0
y = 3·0 -14 = -14
y = -8
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
x = 3
y = 3·3 -14 = -5
__
The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
_____
Comment on the approach
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
6.1.3
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Answer:
The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
Step-by-step explanation:
A normal-distribution is an accurate symmetric-distribution of experimental data-values.
If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.
If X [tex]\sim[/tex] N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z [tex]\sim[/tex] N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are µ = 0 and σ = 1.
can you answer with explanation how its answer is 0.63?? Aja's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contain a prize. Suppose that Aja is going to buy 5 boxes of this cereal, and let X represent the number of prizes she wins in these boxes. Assume that these boxes represent a random sample, and assume that prizes are independent between boxes. What is the probability that she wins at most 1 prize in the 5 boxes
Let n = total boxes (5)
Probability (p) = 1 out of 4 = 1/4 = 0.25
Probability she wins at most 1 out of 5 is p(x <=1) Which is also = p (x =0) + p(x=1)
Probability of not winning would be 0.75 ( 1-0.25)
No prizes in 5 boxes = 0.75^5
1 prize in 5 boxes = 5 x 0.25 x 0.75^4
Total probability = 0.75^5 + 5 x 0.25 x 0.75^4 = 0.63
Answer: 0.63
Step-by-step explanation:
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2900 miles. What is the probability a particular tire of this brand will last longer than 57,100 miles
Answer:
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 60000, \sigma = 2900[/tex]
What is the probability a particular tire of this brand will last longer than 57,100 miles
This is 1 subtracted by the pvalue of Z when X = 57100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{57100 - 60000}{2900}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% probability a particular tire of this brand will last longer than 57,100 miles