Answer:
\(d=\sqrt{593}\)
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
\(d=\sqrt{(z-y)^2+(w-x)^2}\)
We are given the points (5, 14) and (−3, −9). Substituting into the formula:
\(d=\sqrt{(-9-14)^2+(-3-5)^2}\)
\(d=\sqrt{(-23)^2+(-8)^2}\)
\(d=\sqrt{529+64}\)
\(\boxed{d=\sqrt{593}}\)
In the CapGemini IOT Industry 4.0 case, what dimension focuses on the way that Smart Products are
equipped with computing power that enables autonomous decision-making and self-learning processes
based on algorithms? Connected O Intelligent O Responsive O Aware
The dimension that focuses on the way that Smart Products are equipped with computing power that enables autonomous decision-making and self-learning processes based on algorithms is described as follows:
Intelligent.
What are self-learning systems?Self-learning systems are systems that use machine language and data analysis to give the users what they are looking for.
A simple example is a person logging into an app to look for news for their NFL team. The next time the person logs into the app, the data analysis will know that the person is likely looking for news about their NFL teams, and thus these news will already be on the front page or on adds for the user.
The systems that use these strategies are called Intelligent systems.
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arturo can have pizza for dinner on any two of the next six days. how many different ways can he select the days on which to have pizza?
the 15 different ways can he select the days on which to have pizza
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
Arturo can have pizza for dinner on any two of the next six days.
he select the days on which to have pizza
So the number of ways c(6 2)
= \(\frac{6!}{4!2!}\)
=\(\frac{30}{2}\)
=15 ways
Hence the 15 different ways can he select the days on which to have pizza.
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A survey found that the american family generates an average of 17. 2 pounds of glass garbage each year. Assume the standard deviation of the distriution is 2. 5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds
The probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.
How to solve for the probabilityσ_sample = σ / sqrt(n)
σ_sample = 2.5 / sqrt(55)
σ_sample ≈ 0.336
Now, we can standardize the values of 17 and 18 pounds using the Z-score formula. This will tell us how many standard deviations away from the population mean these values are:
Z = (X - μ) / σ_sample
Z_17 = (17 - 17.2) / 0.336 ≈ -0.595
Z_18 = (18 - 17.2) / 0.336 ≈ 2.381
Now we will use the standard normal distribution (Z-distribution) to find the probabilities corresponding to these Z-scores. You can use a Z-table, statistical software, or an online calculator to find these probabilities.
P(Z < -0.595) = 0.2760
P(Z < 2.381) = 0.9915
To find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds, we will find the difference between the probabilities corresponding to the two Z-scores:
P(17 < X < 18) = P(Z < 2.381) - P(Z < -0.595)
P(17 < X < 18) = 0.9915 - 0.2760
P(17 < X < 18) ≈ 0.7155
So, the probability that the mean of a sample of 55 families will be between 17 and 18 pounds is approximately 71.55%.
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when slolved please show steps.
The expression for h in the information illustrated will be h = 2r.
How to illustrate the information?It should be noted that the expression is given as:
2πr³ = πr²h
In this situation, the information is that we should make h the subject of the formula.
This will be:
2πr³ = πr²h
Divide both side by πr²
2πr³/πr² = πr²h/πr²
2r = h
Therefore h = 2r
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50 POINTS WILL MARK BRAINLIEST
if the question is finding the area then the answer would be 89m^2
Find the value of the expression 3x for the following values of x when x = 10
Group of answer choices
A. 30
B. 13
C. 7
D. 103
Answer:
A) 30
Step-by-step explanation:
3*10=30
A 30
An important quality characteristic used by the manufacturer of Boston and Vermont asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they have purchased a product lacking in quality if they find moisture and wet shingles inside the packaging. In some cases, excessive moisture can cause the granules attached to the shingles for texture and coloring purposes to fall off the shingles, resulting in appearance problems. To monitor the amount of moisture present, the company conducts moisture tests. A shingle is weighed and then dried. The shingle is then reweighed, and based on the amount of moisture taken out of the product, the pounds of moisture per 100 square feet are calculated. The company would like to show that the mean moisture content is less than 0.35 pound per 100 square feet. The file Moisture includes 36 measurements (in pounds per 100 square feet) for Boston shingles and 31 for Vermont shingles. a. For the Boston shingles, is there evidence at the 0.05 level of significance that the population mean moisture content is less than 0.35 pound per 100 square feet? b. Interpret the meaning of the p-value in (a). c. For the Vermont shingles, is there evidence at the 0.05 level of significance that the population mean moisture content is less than 0.35 pound per 100 square feet? d. Interpret the meaning of the p-value in (c). e. What assumption about the population distribution is needed in order to conduct the t tests in (a) and (c)? f. Construct histograms, boxplots, or normal probability plots to evaluate the assumption made in (a) and (c). g. Do you think that the assumption needed in order to conduct the t tests in (a) and (c) is valid? Explain.
We perform separate one-sample t-tests, interpret the p-values, assume a normal distribution, and evaluate the assumption through visual assessments of the data.
To test whether the mean moisture content is less than 0.35 pounds per 100 square feet for Boston and Vermont asphalt shingles, we can conduct separate one-sample t-tests for each group. Let's analyze the questions step by step:
a. For the Boston shingles, we can set up the following hypotheses:
Null hypothesis (H0): The population mean moisture content is equal to or greater than 0.35 pounds per 100 square feet.
Alternative hypothesis (H1): The population mean moisture content is less than 0.35 pounds per 100 square feet.
We can perform a one-sample t-test using the Boston shingles data with a significance level of 0.05.
b. The p-value in part (a) represents the probability of observing a sample mean moisture content as extreme as, or more extreme than, the one obtained, assuming that the null hypothesis is true. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean moisture content is less than 0.35 pounds per 100 square feet.
c. For the Vermont shingles, we can set up similar hypotheses as in part (a).
d. The interpretation of the p-value in part (c) would be the same as in part (b). If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to support the claim that the mean moisture content is less than 0.35 pounds per 100 square feet.
e. The assumption about the population distribution that is needed to conduct the t-tests in parts (a) and (c) is that the moisture content follows a normal distribution.
f. To evaluate the assumption of normality, we can construct histograms, boxplots, or normal probability plots of the moisture content data for both the Boston and Vermont shingles.
g. Based on the histograms, boxplots, or normal probability plots, we can assess whether the data appear to be approximately normally distributed. If the data points follow a reasonably symmetric bell-shaped pattern, it suggests that the assumption of normality is valid.
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A box measures 3 1/2 ft by 1 1/3 ft by 2 1/4 ft. What is the volume of the box?
Answer:
V = 10.5 ft³
Step-by-step explanation:
Volume formula: length x width x height
We are given all 3, so all we have to do is multiply them all together, When we plug it into the calc, we should get 21/2 or 10.5 ft³ as our answer.
distance between (-4 6) and (3 -7)
Answer: √218
Step-by-step explanation:---------------
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x<10
Step-by-step explanation:
On the number line it shows that the dot is at 10. Since the dot is not colored in, we know it's not greater/less than or equal to. Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤. Only when the dot is colored in, is there a possibility it is greater/less than or equal to. So it can be greater than or less than something. Since it starts at 10 and is decreasing, it is going to be less than.
X will be less than something. And because the dot is at 10, it means 10 was the start. X is less than 10 since the arrow is pointing to where the numbers are decreasing. So, x<10.
The given lengths are two sides of a right triangle. All three sides of the triangle form a Pythagorean Triple. Find the length of the third side and tell whether it is a leg or the hypotenuse. 9 and 41
Answer:
40, leg
Step-by-step explanation:
The triangle has side lengths of 9, 40, and 41.
41 is the hypotenuse, so 40 is a leg.
A right triangle has an area of 33 mm2 and a height of 12mm. How long is the base of the triangle
Answer:
5.5
Step-by-step explanation:
Find the distance from the point to the plane. (10,5,10), y+8 z=0 The distance is (Round to two decimal places as needed.)
The distance from the point (10, 5, 10) to the plane y + 8z = 0 is 2.12 units.
To find the distance from a point to a plane, we can use the formula:
distance = |Ax + By + Cz + D| / √(A^2 + B^2 + C^2),
where (x, y, z) represents the coordinates of the point, and the equation of the plane is Ax + By + Cz + D = 0. In this case, the equation of the plane is y + 8z = 0, which can be rewritten as 0x + y + 8z + 0 = 0. So, A = 0, B = 1, C = 8, and D = 0. Substituting the values into the distance formula, we have:
distance = |0(10) + 1(5) + 8(10) + 0| / √(0^2 + 1^2 + 8^2)
= |5 + 80| / √(1 + 64)
= 85 / √65
≈ 2.12 units.
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Factor the following: x^2-7
Answer:
the answer is 0
hope it helps have a nice dayyy
what is the value of x? (look at picture)
Step-by-step explanation:
\( 5\sqrt{3 } \)
30 60 90 triangle
Please answer this!!!
Will be Brainlist!!!
Answer:
show the question
sorry
Step-by-step explanation:
plz follow me
Answer:
1) а 2)b
вот правильный ответ
A machine that cost $38,560 when new will have a salvage value of $400 after its useful life of 12 years. Find its annual rate of depreciation.
The annual rate of depreciation for a machine that originally cost $38,560 and has a salvage value of $400 after 12 years of useful life is approximately $3,172. The machine depreciates at an average rate of $3,172 per year.
To find the annual rate of depreciation, we need to determine the total depreciation over the useful life of the machine and divide it by the number of years. The total depreciation is calculated by subtracting the salvage value from the original cost. In this case, the total depreciation is $38,560 - $400 = $38,160.
To calculate the annual depreciation rate, we divide the total depreciation by the number of years: $38,160 / 12 = $3,180. However, this gives us the average annual depreciation. If we want to know the exact annual depreciation, we can round this amount to the nearest dollar, giving us an annual depreciation of approximately $3,172.
Therefore, the machine has an annual rate of depreciation of around $3,172. This means that the value of the machine decreases by approximately $3,172 per year over its useful life of 12 years. By the end of its 12-year useful life, the machine will have depreciated to a salvage value of $400.
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State the angle relationship and state the measure of each angle indicated that makes lines u and v parallel
Answer:
5) Alternate Exterior angles 90º
6) Same side Interior angles. 132º if that says 48º on the page
7) Corresponding angles. too blurry but they are congruent
8) Alternating Exterior angles. too blurry but they are congruent
Step-by-step explanation:
Congruent means they are the same measurement just as a reminder :).
Please help me
Expressions
Decide whether the given expression is a polynomial and tell why or why not.
5. 3x2 – 5x + 2
Answer:
3x² – 5x + 2 is a polynomial because:
Exponents are whole numbers, and the expression has at least 1 term.
Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.
How do you write 0.16 repeating as a fraction
Solve 7ax + 8ax = 9 ax + 6 for x. Assume a ≠0.
A. = x=1/6a
B. x=1/a
C. x= a
D. x = 6a
The answer is B (1/a)
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
WILL MARK BRAINLIEST!! PLZ HELP!!
Answer:
The answer is D.
Step-by-step explanation:
When x=0, then y=300, so it has to be more than that.
When x=25, y=300, so it has to be less than that.
The number line shows the change in temperature from 7:00 a.M. To 1:00 p.M. Which expression shows how to find the difference between the temperatures at 7:00 a.M. And 1:00 p.M.?
Answer:
B
Step-by-step explanation:
The options in the question and the number line are shown in the image attached.
From the options, it is clear that the difference between the temperatures at 7:00 a.M. and 1:00 p.M is;
Temperature at 7:00 a.M - Temperature at 1:00 p.M
We can see from the number line that the temperature at 7:00 a.M = -4
Temperature at 1:00 p.M = 16
difference between the two temperatures = ∣(-4) - 16∣ = 20
10) Find the least number that must be subtracted from the following numbers to make them perfect squares. a) 1098 b) 4498
Answer:
a. 9
b. 9.
Step-by-step explanation:
a) √1098 = 33.136
33^3 = 1089
So the answer is 1098 - 1089
= 9.
b) √4498 = 67.067
67^2 = 4489
Answer = 9.
Answer:
a). 9
b). 9
Step-by-step explanation:
a) If you try to subtract 1 to 8 from 1098, it won't make a perfect square. But if you subtract 9 from 1098 (that will make it 1089), it will make a perfect square.
√1089 = 33
33² = 33 × 33 = 1089
So the answer is 9.
b). If you try to subtract 1 to 8 from 4498, it won't make a perfect square. But if you subtract 9 from 4498 (that will make it 4489), it will make a perfect square.
√4489 = 67
67² = 67 × 67 = 4489
So the answer is 9.
Hope you understand ◉‿◉ (◠‿◕)
2 1⁄2, |-2 3⁄4|, 1 1⁄2, |-2| Order the following numbers from least to greatest.
For given expressions, the ordered list is 1 1/2 < 2 < 2 1/2 < 2 3/4.
What exactly are expressions?
Expressions are mathematical phrases that can contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. They can also contain functions, powers, roots, and other mathematical symbols.
Expressions can be used to represent a wide range of mathematical concepts and calculations. They can be simple, like "3 + 4", or complex, like "sin(2x) / (x² + 1)". They can also include variables, which represent unknown values, and be used to solve equations and inequalities.
Now,
First, we simplify the absolute value expressions:
|-2 3/4| = 2 3/4=11/4=2.75
|-2| = 2
1 1/2=3/2=1.5
2 1/2=5/2=2.5
So the list of numbers in order from least to greatest is:
1 1/222 1/22 3/4Therefore, the ordered list is:
1 1/2 < 2 < 2 1/2 < 2 3/4
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4 + 8x = -12
what is X?
Answer:
x=-2
Step-by-step explanation:
4+8x=-12
-4 -4
8x = -16
/8 /8
x = -2
Answer:
X=(-2)
Step-by-step explanation:
8(-2)=(-16)
so -16+4=(-12)
Find the probability of correctly answering the first 3 questions on a multiple choice test if
random guesses are made and each question has 4 possible answers.
Answer:
4
Step-by-step explanation:
What is the length of BC in the right triangle below? PLEASE HELP
Answer:
B. 142
Step-by-step explanation:
Answer:
14,844
Step-by-step explanation:
Use the Pythagorean theorem.
120 squared minutes 22 squared
=> 14,844