Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B? (1 point)
Question 1 options:
1)
{2, 4}
2)
{1, 2, 3}
3)
{1, 2, 3, 4}
4)
{1, 2, 3, 4, 5}
Answer:
{2, 4}
Step-by-step explanation:
Intersection is the elements that two or more sets have in common. In A and B, they share {2, 4} in common.
Answer:
{2, 4}.
Step-by-step explanation:
A ∩ B is the set of elements that are in both A and B so it is:
{2, 4}.
The sum of two consecutive odd numbers is 72. What is the smaller number?
A 33
B 35
C 37
D 39
Rose is planning a surprise party for her father. She is inviting 94 people besides her father and herself. She can seat 8 people at each table. How many tables will Rose need?
What is the formula to get from X to Y ?
Which statement is true about the relationship between the height of the plant and the number of days?
A. This relationship is a function because the plant can be more than one height at a time.
B. This relationship is not a function because the plant can be more than one height at a time.
C. This relationship is not a function because the plant can only be one height at a time.
D. This relationship is a function because the plant can only be one height at a time.
This relationship is a function because the plant body can be of only one particular height at a time.
A function can be defined as a relationship between a set of inputs having only one output each. In other words, a function is basically a relationship between inputs and outputs; where each input is related to only one output at a time. Functions are said to occur when the recorded value of x is varied each time. Since we know that the height of the plant (the x-value) varies by each day, Therefore it is a function.
thus we can conclude that the correct option for the relationship between the height of the plant and the number of days is option D, which tells that this relationship is a function because the plant body can only be of one particular height at a time.
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Rebecca
pays $3.50 per gallon for 12 gallons of gas.
How much did Rebecca pay in all for the gas?
Answer:
3.50 × 12 = 42
Therefore, she spent 42 dollars.
Someone help me to work this problem please
Answer:
m∠3 = 64°
Since angle 2 and 3 seem to be complementary angles, we know that the meaning of complementary angles is to add both angles to 90 degrees.
Subtract 90 by the known value to get the value of ∠3
90 - 26 = 64
A population of 12,000 fish has a growth rate of 4% each year. Write a model for the situation About how many years will it take for the population to
reach 20,000?
O A 12,000(1.047" = 20,000; 1.6 years
B. 12,000(1.04)" = 20,000: 13.02 years
C. 12,000 0.00 – 20.000; 12.77 years
D. 12,000.00 = 20,000: 5 29 years
Answer:
B
Step-by-step explanation:
Trial and error into (ABOUT/APPROXIMATELY)
y=12000(1.04)^x
The sales tax rate is 5%. If Nora buys a robot priced at $55, how much tax will she pay?
Answer:
$2.75
Step-by-step explanation:
55 x 0.05 = 2.75
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
Which of the following is the approximate measure of one of the sides of the Pentagon?
5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.
The diameter of that circumcircle is 483.28 meters.
We have to find the length of one of the sides.
The diameter can be converted to a radius dividing it by 2:
\(r=\frac{D}{2}=\frac{483.28}{2}=241.64\)We will need to also know the measure of the interior angle of the pentagon.
For regular polygons we can calculate it as:
\(\begin{gathered} \alpha=\frac{(n-2)}{n}\cdot180\degree \\ \alpha=\frac{(5-2)}{5}\cdot180\degree \\ \alpha=\frac{3}{5}\cdot180\degree \\ \alpha=108\degree \end{gathered}\)We can then draw a right triangle that will let us calculate the side length (a):
As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.
Then, we can use trigonometric ratios to find a:
\(\begin{gathered} \cos(54\degree)=\frac{Adjacent}{Hypotenuse}=\frac{a\/2}{R} \\ R\cdot\cos(54\degree)=a\/2 \\ a=2R\cdot\cos(54\degree) \\ a\approx2\cdot241.64\cdot0.5877 \\ a\approx284.06 \end{gathered}\)Answer: 284.06 meters.
In 10–14, find how many solutions there are to the given equation that satisfy the given condition.
a + b + c + d + e = 500, each of a, b, c, d, and e is an integer that is at least 10.
The number of solutions can be found using the stars and bars formula, which states that the number of ways to distribute k indistinguishable objects into n distinguishable boxes is (k+n-1) choose (n-1).
In this case, we can think of the integers a, b, c, d, and e as the indistinguishable objects, and the plus signs between them as the distinguishable boxes. Since each integer must be at least 10, we can subtract 10 from each integer to get a new equation a' + b' + c' + d' + e' = 450, where each of the new variables is a nonnegative integer. We can then apply the stars and bars formula with k = 450 and n = 5 to get the number of solutions to the original equation, which is (450+5-1) choose (5-1) = 454,686.
Therefore, there are 454,686 solutions to the equation a + b + c + d + e = 500, where each of a, b, c, d, and e is an integer that is at least 10. These solutions can be found by distributing the integers 460 (i.e., 450+10 for each integer) into the five boxes separated by plus signs in all possible ways. The solutions can also be enumerated by using generating functions or other combinatorial techniques.
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Question 17(5 points)
Find the missing side lengths. Leave your answers as
radicals in simplest form.
60°
2V3
ZZ
A) u = 4, v= 2V3
C) u=2V2, v=2V3
B) u=2V2, v= 2
D) u = 4, y = 2
Answer:
D) u=4 , v=2
Step-by-step explanation:
This is as 60 30 90 triangle.
One leg is x
Second is x sqrt 3
The hypotenuse is x(2)
So hope that helps
Did you guys know about this math website called Tiger Algebra? This is not a ad but i'm just asking because it is helping me too
Answer:
no
Step-by-step explanation:
For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.
a) Option A, A x2 statistic provides strong evidence in favor alternative hypothesis if its value is a large positive number.
b) Option B, The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related.
c) Option B, The variables considered in a chi-squared test used to evaluate a contingency table B. are categorical.
(a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is a large positive number. The x2 statistic is used in hypothesis testing to determine whether there is a significant difference between observed and expected frequencies. A large positive value indicates that the observed frequencies are significantly different from the expected frequencies, which supports the alternative hypothesis.
(b) The hypotheses being tested in a chi-squared test on a contingency table are the null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. This test determines whether there is a significant association between two categorical variables.
(c) The variables considered in a chi-squared test used to evaluate a contingency table are categorical. These variables cannot be averaged or assumed to be normally distributed. The chi-squared test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.
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-8
-7
-6
-5
-4
+
0 1 2
-3
-2
-8
-7
-6
-5
-4
-3
-2
-1
0 1 2
-8 7
-6 -5
-4
-3
.-2
-1
0 1
2
-8
+
2
-7
-6
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-2
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0
1
Compare and contrast the four number lines. Decide which number line doesn't belong. Justify your reasoning.
Answer:
take your pick. Each has its own reason.
Step-by-step explanation:
As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.
__
I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.
2x+5y=5solve for x
3x-2y=9 solve for y
The solution for each expression is given as follows:
2x + 5y = 5 for x -> x = 2.5(y - 1).3x - 2y = 9 for y -> y = 1.5(x - 3).How to solve the expressions?To solve an expression for a variable, we isolate the desired variable applying the inverse operations.
The solution for x of the first expression is obtained as follows:
2x + 5y = 5
2x = 5y - 5
x = 5(y - 1)/2
x = 2.5(y - 1).
The solution for y of the second expression is obtained as follows:
3x - 2y = 9
2y = 3x - 9
2y = 3(x - 3)
y = 3/2(x - 3)
y = 1.5(x - 3).
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The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False
The probability of a Type II error is represented by beta. Thus, the correct answer is option B.
Beta represents the probability of failing to reject the null hypothesis when it is false.
On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.
The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.
The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.
Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.
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I What are the subsets of dog cat fish
Answer:
Mammals
Step-by-step explanation:
these vertebrates are considered mammals
Answer:
Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}
if that doesn't work do
4 - Practice: Working with Sets Practice
1. D
2. B
3. A
4. C
5. A
6. C
7. C
8. D
9. C
10. B
-cc
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Answer these in true or false
Answer: True, False, False
Step-by-step explanation:
Answer:
8. true
9. false
10. false
Dominic is shopping at a store that is offering a discount of 15%, percent off the usual price of any item. 1. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p. 2. How much discount does Dominic receive on an item whose usual price is pounds 80pounds,
Dominic receives 12 pounds on an item whose usual price is 80 pounds
Write an equation that represents the amount of discount offered (d) on an item whose usual price is p.The given parameters are:
Discount =15%
Price = p
Amount of discount = d
The equation that represents the amount of discount offered (d) on an item whose usual price is p is
d = Discount * p
This gives
d = 15% * p
Evaluate
d = 0.15p
How much discount does Dominic receive on an item whose usual price is 80 pounds,In (a), we have
d = 0.15p
Here, p = 80
So, we have
d = 0.15 * 80
Evaluate
d = 12
Hence, Dominic receives 12 pounds on an item whose usual price is 80 pounds
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Answer:
If the store is offering a discount of 15% off the usual price
the equation is \(D=0.15p\)
Dominic gets a £12
discount on an item whose usual price i
2. (2 points) true or false: in hypothesis testing, null hypothesis and alternative hypothesis can be both false statements
In hypothesis testing, the null hypothesis and alternative hypothesis can be both false statements. This statement is False.
The alternative hypothesis and the null hypothesis both are mutually exclusive possible outcomes that cover all the possible outcomes of an event. One test may be true and the other may be false. The null hypothesis is the default outcome and the alternative hypothesis is the experimental solution.
The main aim of testing the hypothesis is to test the results of research that applies to the size of the population. It supports the rejection of the null hypothesis in the favour of alternative hypothesis. If both hypothesis cases are failed, the test is invalid.
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Help me with the answer asp
Answer:
y1=4
x2=7
y2=-3
Find the value of x. Round the length to the nearest tenth.
Answer:
9.230095943 or 9.2
Step-by-step explanation:
Trigonometry: sine, cosine, tang: Sohcahtoa
O: opposite(side from angle)
H: hypotenuse(side opposite from 90*)
A: Adgacent(side from angle)
Use scientific calculator: tang(40*) x 11 = 9.230095943
How far would Maria have to travel to get to Valentina's house?
Answer:depends on the distance but we need info
Step-by-step explanation:
Miranda deposits $100 into a savings account. she decides that she will make one deposit at the end of each month and that she will increase the amount that she deposits by 10% each month.
a. complete the table to show the amount of money miranda deposits at the end of each month for the first 4 months
Using an exponential function, it is found that the amounts deposited at the end of each month are given by:
At the end of the first month, she deposits $110.At the end of the second month, she deposits $121.At the end of the third month, she deposits $133.1.At the end of the fourth month, she deposits $146.41.What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:
\(A(t) = 100(1.1)^t\)
Then, for each of the first four months:
\(A(1) = 100(1.1)^1 = 110\)\(A(2) = 100(1.1)^2 = 121\)\(A(3) = 100(1.1)^3 = 133.1\)\(A(4) = 100(1.1)^4 = 146.41\)More can be learned about exponential functions at https://brainly.com/question/25537936
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Help me
\( \boxed{ \large{ \sf{Question: }}}\)
Five years ago,A's age was four times the age of B. A's age will be twice of the age of B. Find their present ages.
_______________________
best of luck ^^
Answer:
here's your answer
Five years hence, A's age will be twice the age of B.. B's age = 10 years
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27
A student packs 18 tennis balls in 6 cans
containing an equal number of balls.
How many balls are there in each pack?
Answer:
Step-by-step explanation:
18 Tennis balls
6 Packs
18 divided by 6 = 3 Balls
There is 3 balls in each packs
Answer:
3 balls in each one
Step-by-step explanation:
Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.