Round 576.558 to the nearest tenths place

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.

Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.

The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.

Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,

P = 2/8

P = 1/4

The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.

According to the product rule, the likelihood that a white sector will both spin and emerge is,

P = 1/4 * 1/4

P = 1/16

In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.

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The complete question is-

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!

Given data:

5/7 cup of butter to make 4 dozen cookies

? cup of butter to make 18 dozen cookies

Use a rule of three:

The probability is the product of the probabilities for each card. and (b) With replacement: The probability remains the same.

(a) When sampling is done without replacement, the probability of the first card being an "a" is 4/52 (since there are 4 "a" cards in a standard deck of 52 cards). After the first card is selected, there are 51 cards remaining, and the probability of the second card being an "a" is 3/51 (since there are 3 "a" cards left out of the remaining 51 cards). Therefore, the probability that the first card is an "a" and the second card is an "a" is (4/52) * (3/51) = 1/221.

(b) When sampling is done with replacement, after the first card is selected, it is placed back into the deck, and the deck is reshuffled. Each card has an equal probability of being chosen for each draw. Therefore, the probability of the first card being an "a" is 4/52, and the probability of the second card being an "a" is also 4/52. Hence, the probability that the first card is an "a" and the second card is an "a" is (4/52) * (4/52) = 1/169.

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Answer:

$12.50

Step-by-step explanation:

100%-20% -> $10

80% -> $10

100% -> \(\frac{100}{80}\) × $10 = $12.50

Answer:

The original price was $12

10 times 7 = 70

10 - 6 = 4

70 + 4 = 74

Answer:

70x+4

Step-by-step explanation:

simplify the expression

tip: u can use mäthwäy next time ;) its really helpful

Answer:

Refer to the pic

Step-by-step explanation:

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

Answer:

range

Step-by-step explanation:

difference between the highest and lowest points in a data set = range

The mean is the average of all the points

The median is the middle of  all the points

The mode is the point the appears the most often

"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"

Online song that's helped me remember the difference between median, mode, mean and range for years!

By applying permutation concepts, there are 2730 possible sets of officers.

Permutation calculates the number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

P(n,r) = n! / (n-r)!

where n is the number of objects and r is the number of samples

In such an election, each person can only occupy one office. Therefore, the permutation concept is precisely used to calculate the number of ways to set these people.

P(15,3) = 15! / (15 - 3)!

           = (15 x 14 x 13 x 12!) / 12!

           = 15 x 14 x 13

           = 2730 ways

Thus, there are 2730 possible sets of officers.

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Answer:

C. 80in^2

Step-by-step explanation:

12*3 for the area of both sides of the H. 12*3= 36, and since there are two we multiply 36*2= 72

For the middle we multiply 4*2=8

72+8= 80

Each set An consists of all the real numbers between n and n+1, and there are infinitely many such sets because Z is infinite. These sets are also pairwise disjoint (i.e., they have no elements in common) and their union covers all the real numbers.

(a) A partition of Z (the set of integers) that consists of 2 sets could be:

Set A: {even integers} = {..., -4, -2, 0, 2, 4, ...}

Set B: {odd integers} = {..., -3, -1, 1, 3, 5, ...}

These sets are non-overlapping and their union covers all the elements of Z.

(b) A partition of R (the set of real numbers) that consists of infinitely many sets could be:

For each n ∈ Z, let An = [n, n+1) be the interval of real numbers between n and n+1, not including n+1. Then the collection {An : n ∈ Z} is a partition of R into infinitely many sets.

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Answer:

55.9 mph

Step-by-step explanation:

190/3.4 = 55.88 mph rounded to one dp = 55.9 mph

A car travels a distance of \(190\) miles in a time of \(3.4\) hours, then  its average speed will be  \(56\) miles per hour.

Average speed is speed is the total distance traveled by the car in a particular time of interval.

Average speed \(=\frac{Total \ Distance}{Total \ Time}\)

We have,

Distance \(=190\) miles

Time\(= 3.4\) hours

So, Using the above given formula,

Average speed \(=\frac{Total \ Distance}{Total \ Time}\)

                          \(=\frac{190}{3.4}\)

                         \(=56\) miles per hour

So, the average speed of car is \(56\) miles per hour which is find out using the above given formula.

Hence, we can say that if a car travels a distance of \(190\) miles in a time of \(3.4\) hours, then  its average speed will be  \(56\) miles per hour.

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Answer:

The slope of the line=4/5

Step-by-step explanation:

The formula y=mx + b is set up in slope-intercept form, where m=slope and b=y-intercept

y=mx + b

b= -3

m= 4/5

Note: b can be negative or positive

Therefore, the slope=4/5

Answer:

An angle is formed when two rays share a common endpoint.

Step-by-step explanation:

When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.

A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.

We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.

We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.

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Answer:

Yes table 1 is

not proportional for table 2

Step-by-step explanation:

6 for table 1

nothing for table 2

Answer:

20,000

Step-by-step explanation:

5,000 x 2 = 10,000

10,000 x 2 = 20,000

Step-by-step explanation:

So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.

that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.

Answer:

mean is 19

Step-by-step explanation:

sorry that's all I know

Step-by-step explanation:

When you translate something, it means to move it exactly as it is from once location to another. In this case, move the object 3 units right, and 3 units up. Each line segment is 1 unit. To translate this object, move each point 3 unit up and 3 units right. After that, connect the points to draw the object.

An example of quadratic equation is x² + x − 30 = 0 and an example of non-quadratic equation is x³ − x² − 5 = 0

A quadratic equation can be written in the standard form as ax² + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

An example of a quadratic equation is one where it follows the equation  ax² + bx + c = 0. Thus, one such example is  x² + x − 30 = 0 and an example of a nonquadratic equation is  x³ − x² − 5 = 0

Hence, these are the two examples.

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Answer:

92

Step-by-step explanation:

You do (9x8) + (5x4). 9x8 = 72 and 5x4=20.  add 72 and 20 and get 92!

Answer:

x=8 or -8

Step-by-step explanation:

64 squared = 8 or -8

8x8=64

-8x-8 = 64

Answer:

Take the root of both sides and solve.

x=8,−8

Step-by-step explanation:

Using the Bisection Method, the solution for x = 348 with an initial interval of [3, 4] is approximately x ≈ 3.8750. Using the Secant Method with initial values x₀ = 3 and x₁ = 4, the solution is approximately x ≈ 3.9999. The Bisection Method is considered more reliable in this case, providing a better approximation.

To solve the equation x = 348 using the Bisection Method, we start with the given interval [3, 4] and iterate until we achieve the desired accuracy.

Let's denote the function as f(x) = x - 348.

First, we need to check if there is a change in sign of f(x) within the interval [3, 4]. Since f(3) = -345 and f(4) = -344, there is a change in sign, indicating the existence of a solution within the interval.

Now, we perform the iterations of the Bisection Method until the stopping criteria is met:

Iteration 1:

Interval: [3, 4]

\(\(c_1 = \frac{a + b}{2} = \frac{3 + 4}{2} = 3.5\)\)

f(c₁) = f(3.5) = -344.5

Since the sign of f(c₁) is negative, we update the interval to [3.5, 4].

Iteration 2:

Interval: [3.5, 4]

\(\(c_2 = \frac{a + b}{2} = \frac{3.5 + 4}{2} = 3.75\)\)

f(c₂) = f(3.75) = -343.25

Since the sign of f(c₂) is negative, we update the interval to [3.75, 4].

Continue these iterations until the stopping criteria is met, which is\(\(\epsilon \leq 0.005\)\), where \(\(\epsilon\)\) is the width of the interval.

The final approximation for the solution is the midpoint of the last interval. In this case, it is x ≈ 3.8750.

To solve the equation x = 348 using the Secant Method, we start with the initial values x₀ = 3 and x₁ = 4 and iterate until we achieve the desired accuracy.

Let's denote the function as f(x) = x - 348.

First, we need to calculate the value of f(x₀) and f(x₁):

f(x₀) = f(3) = -345

f(x₁) = f(4) = -344

Using these initial values, we can perform the iterations of the Secant Method until the stopping criteria is met, which is\(\(\epsilon \leq 0.005\)\) , where \(\(\epsilon\)\) is the difference between successive approximations.

Iteration 1:

\(\(x_2 = x_1 - \frac{f(x_1)(x_1 - x_0)}{f(x_1) - f(x_0)}\)\)

\(\(x_2 = 4 - \frac{-344(4 - 3)}{-344 - (-345)} = 3.9997\)\)

Iteration 2:

\(\(x_3 = x_2 - \frac{f(x_2)(x_2 - x_1)}{f(x_2) - f(x_1)}\)\)

\(\(x_3 = 3.9997 - \frac{-343.9992(3.9997 - 4)}{-343.9992 - (-344)} = 3.9999\)\)

Continue these iterations until the difference between successive approximations, ∈ , is less than or equal to 0.005.

To determine which solution is better, we compare the accuracy of the solutions obtained from the Bisection Method and the Secant Method.

In the Bisection Method, the final approximation is x ≈ 3.8750, and in the Secant Method, the final approximation is x ≈ 3.9999.

Since the Bisection Method guarantees the convergence to a solution within the given interval, and the Secant Method depends on the initial values and may converge to a different solution, the Bisection Method is considered more reliable in this case.

Therefore, the solution obtained from the Bisection Method, x ≈ 3.8750, is a better approximation for the equation x = 348.

(Note: The first estimation value for the Bisection Method was c₁ = 3.5 in the interval [3, 4].)

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The queue is utilization. During the next week, average flow time (W) will  B. not stable, grow.

In the given scenario, the arrival rate of customers to the bank branch follows a mean of 4 minutes and a standard deviation of 4 minutes. The teller's service time follows a mean of 3 minutes and a standard deviation of 3 minutes.

When the bank teller leaves and is replaced by the manager, who has an average service time twice that of the teller, the new average service time becomes 6 minutes.

To analyze the queue and determine its stability, we need to calculate the utilization, which is the ratio of the average service time to the average inter-arrival time.

Utilization (ρ) = (average service time) / (average inter-arrival time)

For the teller:

Average inter-arrival time = 4 minutes

Average service time = 3 minutes

Utilization (ρ) = 3 / 4 = 0.75

For the manager:

Average inter-arrival time remains the same: 4 minutes

Average service time = 6 minutes

Utilization (ρ) = 6 / 4 = 1.5

In queueing theory, a stable queue exists when the utilization (ρ) is less than 1. Therefore, the queue with the teller (ρ = 0.75) is stable. However, the queue with the manager (ρ = 1.5) is not stable.

During the next week, the average flow time (W) is expected to increase because the manager's longer service time will result in longer waiting times and overall slower service for customers. Therefore, the answer is B. not stable, grow.

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Answer:

136 m

Explanation:

The diagram illustrating this problem is attached below:

Using trigonometric ratio:

We solve for x, the distance between the hiker and the cliff's base.

To the nearest meter, the distance between the hiker and the cliff's base is 136m.

Answer:

c=3√5

Step-by-step explanation:

it appears the vertices of the inscribed quadrilateral,cuts the edges of the square at certain points that form right angles,with C being the hypotenuse.

c=√3²+6²

c=√9+36

c=√45=3√5