Answer:
Hiking: 28%
Canoeing: 16%
Swimming: 24%
Fishing: 32%
Step-by-step explanation:
21 + 12 + 18 + 24 = 75 (there are 75 campers)
21 out of 75 = 28%
12 out of 75 = 16%
18 out of 75 = 24%
24 out of 75 = 32%
Hope this helps!
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This table gives a few (x,y) pairs of a line in the coordinate plane.
Answer:
The x-intercept of the line will be (10, 0)
Step-by-step explanation:
start from -12
get to -2...
-12 + (10) = -2
-2 + (10) = 8
therefore, the x-intercept is (10, 0)
Can someone help with this question?✨
The equation for the linear function f(x) is f(x) = 2 / 7 x - 10 / 7
How to find the equation for the linear function?The linear function is f(x)
f(-2) = - 2 and f(5) = 0
Therefore, let's find the equation for the linear function f(x):
A linear function is a function that represents a straight line on the coordinate plane.
Therefore, linear function is represented as follows:
y = mx + b
where
m = slopeb = y-interceptHence,
-2 = m(-2) + b
0 = 5m + b
b = -5m
Therefore,
m(-2) + - 5m = -2
-2m - 5m = -2
-7m = -2
m = 2 / 7
Therefore,
b = - 5 (2 / 7)
b = - 10 / 7
Hence,
f(x) = 2 / 7 x - 10 / 7
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If x varies directly as y, and x=12 when y=6, find x when y=9
Answer:
18
Step-by-step explanation:
x=k*y
12= k*6. so k=2
x=2y, when y=9, then x = 2*9=18
Solve. Write the solution in interval notation.
The solution in interval notation is; (-∞, 49/2).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:
5/16x - 7/4 < 3/4x + 21/2
Combining like terms:
5/16x -3/4x < 21/2 + 7/4
8/16x < 49/4
1/2x < 49/4
Simplifying the fraction;
x < 49/2
Therefore, the solution in interval notation is (-∞, 49/2).
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The graph shows the cost for a crate of the flowers Molly is planting in her garden.
What is the cost of 4 crates of flowers?
Answer:
Little late but its 10
Step-by-step explanation:
Answer:
3 weeks Late my bad, but why let the question go to waste, the answer is 10
what is the average rate of change for this quadratic function fo rate interval from x=-4 to x=-2
Answer:
ill edit my comment later but is there a graph? its not enough info
Step-by-step explanation:
not enough info i think
PLEASE HELP NOW!!!
Solve for x
10cm
8cm
x
The value of x for the given triangle is 38.66° to the nearest hundredth.
Given a right angled triangle.
We have to find the angle marked as x for the given triangle.
Also given that two of the side lengths as 10 cm and 8 cm.
We can use trigonometric ratio to find the length of the unknown angle or x.
We know that,
tan (x) = Opposite side / Adjacent side
Using this function,
tan (x) = 8/10
tan (x) = 0.8
x = tan⁻¹ (0.8)
x = 38.66°
Hence the angle is 38.66°.
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A set of data is organized by categories. Which type of graph will best represent the data?
Answer:
Histogram
Step-by-step explanation:
Answer:
a Bar graph
Step-by-step explanation:
i did the test
Can someone helppppp ?
[TRUE OR FALSE] whenever two variables are correlated, we assume that one variable is the cause of the observed effect from the other variable.
Whenever two variables are correlated, we assume that one variable is the cause of the observed effect from the other variable.
It is a false statement,
Two variables that move together, or in the same direction, are said to have a positive correlation. When one variable rises while the other rises or when one variable falls while the other falls, there is a positive correlation. These two separate variables are theoretically influenced by the same outside factors because they travel in the same direction.
Whenever two variables are correlated, we assume that one variable is the cause of the observed effect from the other variable.
It is a false statement,
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Consider the probability that exactly 97 out of 151 people will not get the flu this winter. Assume the probability that a given person will not get the flu this winter is 64 % Approximate the probability using the normal distribution. Round your answer to four decimal places
The approximate probability that exactly 97 out of 151 people will not get the flu this winter is 0.6732, rounded to four decimal places.
Let X be the number of people who do not get the flu this winter. We are interested in finding the probability that X = 97, given that there are 151 people in total and the probability of any given person not getting the flu is 0.64.
Since the number of people who do not get the flu this winter follows a binomial distribution with parameters n = 151 and p = 0.64, we can approximate it using a normal distribution with mean μ = np = 151 × 0.64 = 96.64 and variance σ² = np(1 - p) = 151 × 0.64 × 0.36 = 34.7136.
To apply the normal approximation, we need to standardize the value of X = 97:
Z = (X - μ) / σ = (97 - 96.64) / sqrt(34.7136) ≈ 0.4552
where sqrt denotes the square root function.
Now, we use a standard normal distribution table or calculator to find the probability that a standard normal variable is less than or equal to 0.4552:
P(Z ≤ 0.4552) ≈ 0.6732
Therefore, the approximate probability that exactly 97 out of 151 people will not get the flu this winter is 0.6732, rounded to four decimal places.
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Consider the graph of some function y equals f left parenthesis x right parenthesis.
The limits of the function for this problem are given as follows:
lim x -> -2 f(x) = 3.lim x -> 1 f(x) does not exist.lim x -> 4 f(x) = -3.How to obtain the limits of the function?In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.
At x = -2, we have that:
To the left of x = -2, the function approaches x = -2 at y = 3.To the right of x = -2, the function approaches x = -2 at y = 3.As the lateral limits are equal, lim x -> -2 f(x) = 3.
At x = 1, we have that:
To the left of x = 1, the function approaches x = 1 at y = 0.To the right of x = 1, the function approaches x = 1 at y = -4.As the lateral limits are different, the lim x -> 1 f(x) does not exist.
At x = 4, we have that:
To the left of x = 4, the function approaches x = 4 at y = -3.To the right of x = 4, the function approaches x = 4 at y = -3.As the lateral limits are equal, lim x -> 4 f(x) = -3.
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Started at −20° and rose 1° each minute
Answer:
-20+1 every minute
Step-by-step explanation:
Help me please and thank you..
Answer:
You will move each point of this shape 1 unit into the right. Then will move each point of this shape 2 units down. The draw line between each point.Ashley has 9 pizzas .She is serving each person at a party 3/4 of a pizza.How many can she serve at the party?
Answer:
Ashley can serve 12 pieces of pizza in the party
Step-by-step explanation:
To solve this question we need to convert the 9 pizzas to decimal:
9 times 4 = 36. That is:
9 pizzas are equal to 36/4 of pizza (36/4 = 9)
As Ashley is serving 3/4 of a pizza she can serve:
36/4 ÷ 3/4 = 36/3 = 12
Ashley can serve 12 pieces of pizza in the partyConsider a binary classification problem for which you know that the conditional class probabilities are given by: P2 (t) = Pr (Y; = 1|X, = x) = and po (I) = Pr (Y; = 0[Xi = 1) = 1 - P: (I). Find the optimal Bayesian classifier. (Hint: Your classifier should be of the form: if Xe [a, b] then yi = 1, where a and b are two scalars you need to find).
The optimal Bayesian classifier is the one that minimizes the probability of misclassification. This can be achieved by choosing the class that has the highest posterior probability given the observed data. In this case, we need to compare the conditional class probabilities P2(t) and P0(I) for each data point and choose the class with the higher probability.
To find the optimal Bayesian classifier, we need to find the values of a and b that define the decision boundary between the two classes. This can be done by setting P2(t) = P0(I) and solving for x:
P2(t) = P0(I)
Pr(Y; = 1|X, = x) = Pr(Y; = 0[Xi = 1)
1 - P2(I) = P2(I)
2P2(I) = 1
P2(I) = 0.5
Now we can solve for x to find the decision boundary:
0.5 = Pr(Y; = 1|X, = x)
0.5 = P2(I)
x = a + b
Therefore, the optimal Bayesian classifier is of the form:
if Xe [a, b] then yi = 1
if Xe [b, a] then yi = 0
where a and b are the values of x that satisfy P2(I) = 0.5.
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Please solve the question below
Answer:
AB = 14 units
∠F = 39°
Step-by-step explanation:
Given:
ΔABC ≅ ΔDEF
So,
AB = ED (By CPCT)
So,
AB = 14 units
∠C = ∠F (By CPCT)
∠F = 39°
Dom buys a stock option for $2500 that pays out 15% annual interest compounded monthly. What is Dom's balance after 6 years?
Answer:
375
Step-by-step explanation:
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
2/3 es equivalente a 4/5?
we can conclude that 2/3 is not equal to 4/5.
To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.
To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.
For 2/3 and 4/5, we have:
2 * 5 = 10
3 * 4 = 12
Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.
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An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
The triangle shown below has an area of 20 units squared. Find the missing side if the height is 8
Answer:
5 unitsStep-by-step explanation:
Lets keep the missing side as x
And we also know that the area of Triangle is,
\( \frac{1}{2} bh\)
So taking this into consideration we can write a linear equation like this,
\( \frac{1}{2} bh = 20\)
Where height is 8,
\( \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5\)
So therefore the missing side is 5
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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F(-1)=4-3x
F(2)=4-3x
Which of the following steps would you use to
evaluate (a + b)??
Answer:
(a+b)(a+b)
Step-by-step explanation:
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Please show work please thanks you please
Using Pythagoras Theorem
(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2
(Hyp)^2 = (21)^2 + (72)^2
(Hyp)^2 = 441 + 5184
(Hyp)^2 = 5625
Taking √ on both sides
Hypotenuse = √5625
Hypotenuse = 75
Therefore the missing length is 75m
Answer:
Step-by-step explanation:
Because of the Pythagorean Theorem, which states that a^2 + b^2 =c^2, we can find the missing side length:
1. 21^2 = 441
72^2 = 5184
2. 441 + 5184 = 5625
3. Since the question is asking for c (the missing side length), not c^2, we square root 5625:
√5625 = 75
Therefore, the missing side length is 75.
* "^" is used to represent a power/exponent.
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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