Evaluate the expression when t = 0.2.

300t2−0.5÷t
the 2 after the t is an exponent

The probability that more than three throws will be necessary to turn up an ace is 5/6. This is

because the probability of not turning up an ace on each throw is 5/6, and thus the probability of not turning up an ace in more than three throws is the product of all the probabilities, which is (5/6)3 = 125/216.

Therefore, the probability that more than three throws will be necessary is 1 - (125/216) = 91/216.

The probability that more than three throws will be necessary for an ace to turn up can be calculated by finding the probability that an ace will not turn up in the first three throws and then subtracting that from 1.

First, let's find the probability that an ace will not turn up in the first throw. Since there are 6 sides on a dice, and only one of them is an ace, the probability of not getting an ace on the first throw is 5/6.

Next, let's find the probability of not getting an ace on the first two throws. This would be the probability of not getting an ace on the first throw multiplied by the probability of not getting an ace on the second throw, which is (5/6) * (5/6) = 25/36.

Finally, let's find the probability of not getting an ace on the first three throws. This would be the probability of not getting an ace on the first two throws multiplied by the probability of not getting an ace on the third throw, which is (25/36) * (5/6) = 125/216.

Now, to find the probability that more than three throws will be necessary, we subtract the probability of not getting an ace on the first three throws from 1: 1 - (125/216) = 91/216

Therefore, the probability that more than three throws will be necessary for an ace to turn up is 91/216.

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Answer:

g

Step-by-step explanation:

Answer:

The length of one side is 15 cm

Step-by-step explanation:

In an equilateral triangle

perimeter (p) = 45 m

As we know that all three sides are equal in an equilateral triangle so, Let the length be l then

3l = p

3l = 45

l = 15 cm

hope it helps :)

Answer:

4

Step-by-step explanation:

2 people chose 1/3

2 people chose 1/2

2+2=4

To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Answer:

2x+10

Simplifying

2x + 10

Reorder the terms:

10 + 2x

Factor out the Greatest Common Factor (GCF), '2'.

2(5 + x)

Final result:

2(5 + x)

Step-by-step explanation:

choose as brainliest

Answer:

2(x+5)

Step-by-step explanation:

Looking at 2x+10, they all are factorable with 2. Divide 2x and 10 by two and bring the two outside. Which you will get:

2(x+5)

Answer:

No, you cannot.

Step-by-step explanation:

15 divided by 3 = 5

88 divided by 3 = 29.33

15 divided by 5 = 3

88 divided by 5 = 17.6

So, the answer is no.

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

The slope of a linear model can be calculated using the formula:

m = Δy / Δx

where:

Δy = change in y (the dependent variable, in this case, total cost)

Δx = change in x (the independent variable, in this case, number of candy bars)

This is essentially the "rise over run" concept from geometry, applied to data points on a graph.

In this case, we can take two points from the table (for instance, the first and last) and calculate the slope.

Let's take the first point (3 candy bars, $6.65) and the last point (25 candy bars, $48.45).

Δy = $48.45 - $6.65 = $41.8

Δx = 25 - 3 = 22

So the slope m would be:

m = Δy / Δx = $41.8 / 22 = $1.9 per candy bar

This suggests that the cost of each candy bar is $1.9 according to this linear model.

Please note that this assumes the relationship between the number of candy bars and the total cost is perfectly linear, which might not be the case in reality.

Let the triangle be ABC, and where the medians AD and BE intersect be M.

The three medians intersect at the centroid, and divide each other in the ratio 1:2

That means that AM = BM and the triangle ABM is isosceles.

Answer:

20,500 or greater. 21499 or less.

Step-by-step explanation:

All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.

We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.

According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.

We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.

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Answer:

the 2nd one

Step-by-step explanation:

Answer:

3x:4x for some real number x

Step-by-step explanation:

Since answer choices weren't provided, I generalized my answer.

First, notice we can simplify 6:4 into 3:2 because we can write the ratio as a fraction and simplify (6 and 4 are both multiples of 2).

Since 3 and 2 are relatively prime and the ratio cannot simplify anymore, we can say that the ratio of 6:4 = 3:2 = 3x:2x for some real number x because we can see that 3x:2x = 3:2  by simplifying  (3x and 3 are both multiples of x).

As long as the answer choice you choose matches the format above, you should be correct! I hope this helps! :)

The proper conclusion when a test of independence produces a chi-square statistic (\(\chi^2\)) that allows the null hypothesis to be rejected is that there is evidence of a relationship between the variables being studied.

In statistical hypothesis testing, the chi-square test of independence is used to determine whether there is a significant association between two categorical variables.

The null hypothesis assumes that there is no relationship between the variables, while the alternative hypothesis suggests that there is a relationship.

When the test of independence yields a chi-square statistic that is large enough to reject the null hypothesis, it means that the observed data provides evidence against the assumption of independence.

In other words, the results suggest that there is a relationship between the variables being studied.

The rejection of the null hypothesis does not provide information about the nature or strength of the relationship.

It simply indicates that the observed data is unlikely to occur if the variables were truly independent.

Therefore, the proper conclusion in this case is that there is evidence of a relationship between color preference and the number of siblings based on the results of the test of independence.

Further analysis may be needed to explore the nature and significance of this relationship.

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The change in the hawk's speed is determined as 0.81 ft/s.

The change in the hawk's speed is calculated by applying the following formula.

The given acceleration of the hawk;

a(t) = (0.2 +0.14t) ft/s²

The increase in the speed of the hawk from t = 5 seconds to t = 8 seconds is calculated as follows;

v = ∫ a(t) dt

So will integrate the acceleration as follows;

v = ∫ [5, 8] ((0.2 +0.14t))

v = [5, 8] (0.2t + 0.14t²/2 )

v = [5, 8]  ( 0.2t  +  0.07t²)

Substitute the intervals of the integration as follows;

v = (0.2 x 8  +   0.07 x 8) - (0.2 x 5   +  0.07 x 5)

v = 2.16  -  1.35

v = 0.81 ft/s

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The complete question is below;

The acceleration after seconds of a hawk flying along a straight path is a(t) = 0.2 +0.14t ft/s² How much did the hawk's speed increase from t = 5 to t = 8?

Answer:

24

Step-by-step explanation:

2x-14=34

2x=48

x=24

x=24

Answer:

5

Step-by-step explanation:

difference in x components between the 2 points 3 - (-1) = 4

difference in y components 4-1 = 3

the distance between the two points is the square root of the sum of the squares in the difference of x and y components

D = sqrt(4^2+3^2) = sqrt(16+9) = sqrt(25) = 5

The equation of the line that is parallel to the line y= -3x+8 and passes through the point (9,-8) is y = -3x +19 .

Given line y = -3x + 8 The given line is in slope-intercept form, y = mx + c, where m is the slope of the line and c is the y-intercept.

The given line y = -3x + 8 can be written as y = -3x + 8 + 0. The slope of the given line is -3.As the line parallel to the given line, which means the slope of the required line is also -3.

Now, we have the slope of the line and a point (9, -8) that the line passes through.

Using the slope-intercept form, we get the required equation: y = mx + b⇒ y = -3x + b (as the slope m = -3)The line passes through the point (9, -8).

Therefore, substituting the values of x and y in the above equation, we get-8 = -3(9) + b⇒ b = -8 + 27 = 19

Putting the value of b in the equation, y = -3x + 19

Therefore, the required equation of the line is y = -3x + 19.

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1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                 = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                    = 100,000 AA Batteries

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Answer:

(4,1)

Step-by-step explanation:

easiest method is to graph each equation and look for point(s) of intersection

Answer: x=4, y=1.

Step-by-step explanation:

\(\left \bigg \{ {\big{x+y=5} \atop\big {x^{2}-y^{2} =15}} \right.\\\\x+y=5\\x+y-y=5-y\\x=5-y\\\\(5-y)^{2} -y^{2} =15\\5^{2} -10y+y^{2} -y^{2}=15\\25-10y=15\\25-10y-25=15-25\\ -10y=-10\\-10y \div (-10)=-10 \div (-10)\\y=1\\\\x+y=5\\x+1=5\\x+1-1=5-1\\x=4\)

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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The two different expressions that can be used to find the total cost of an item are given by Equation 1: Total cost = $a + 0.06a and Equation 2: Total cost = a(1 + 0.06).

It is given in the question that the cost of the item is $a , and the sales tax on the item is 6%.

Now the total cost of the item can be determined through the following relation:

Total cost = cost of item + sales tax

Now, Cost of item = $a

Sales tax = 6% of a = (6/100)×a

Sales tax = 0.06a

Thus, the total cost is given by:

Total cost = $a + (6% of a)

Total cost = $a + 0.06a

Thus, Equation 1 is expressed as: Total cost = $a + 0.06a

Now, for Equation 2 we take the like term common from the Equation 1.

=> Total cost = $a + 0.06a

=> Total cost = a(1 + 0.06)

Thus, Equation 2 is expressed as: Total cost = a(1 + 0.06).

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By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

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By graphing, the solution of the system of equations is: (6, -2).

To solve the system of equations by graphing, plot each of the line of the equations, then find the coordinates of the point where both lines intersect. Where they intersect is the solution to the systems of equations.

Given the following equations:

x + 2y = 2

y = -x + 4

x + 2y = 2 can be rewritten as y = -1/2x + 1. The graph for x + 2y = 2 will intercept the y-axis at 1 and also has a slope of -1/2. (It is the red line in the image below).

The graph of y = -x + 4 will also have a slope of -1 and intercept the y-axis at 4. (It is the blue line in the image below).

The graph of the equations are shown below, and they intersect at (6, -2), which is the solution to the system of equations.

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Answer:1.24

2.7 27/56

3.3/4

4.1 2/3

Step-by-step explanation:

Answer:

a.) Domain: all numbers from 0 to 170   and   d. Range: all numbers from 0 to 60

Step-by-step explanation:

The domain is all of the numbers that the graph is on, over the x-axis. Looking at the x-axis, the graph only spans across 0-170, so the answer would be   a.) Domain: all numbers from 0 to 170.

The range is all of the numbers that the graph is on, over the y-axis. Looking at the y-axis, the graph only spans across 0-60, so the answer would be   d. Range: all numbers from 0 to 60.

The domain of the relation include the following: A. {1, 2, 3, 6}.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are always read and written from smaller to larger numerical values, and from the left of the graph to the right.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain:

Domain = {1, 2, 3, 6}.

In conclusion, the domain of this relation are all the x-values (independent value) that are located on the x-axis of the graph, which include {1, 2, 3, 6}.

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