What is the perimeter of the inside of the track?

The probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since the two tests are independent, we can use the multiplication rule for independent events to find the probability that both tests fail to detect the disease in someone who has it:

P(both tests fail) = P(test i fails) × P(test ii fails)

P(test i fails) = 0.30 (as given in the problem)

P(test ii fails) = 0.25 (as given in the problem)

Substituting the values, we get:

P(both tests fail) = 0.30 × 0.25

P(both tests fail) = 0.075

Therefore, the probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

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Lydia earns $52.5 more than Gabrielle after 3 years.

percentage, a relative value indicating hundredth parts of any quantity.

we can use the formula for compound interest:

\(A = P(1 + r/n)^n^t\)

where A is the final amount,

P is the principal (initial investment),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the number of years.

For Lydia (n=365)

A=1000(1+0.0525/365)¹⁰⁹⁵

A=1115.7

For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):

A = 1000(1 + 0.0525/2)⁶

A = 1000(1.0265625)⁶

A = 1168.2

To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:

1168.2- 1115.7 = 52.5

Hence, Lydia earns $52.5 more than Gabrielle after 3 years.

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Answer:

Step-by-step explanation:

1.-60

2.-7

3.15

Answer:

The percent being represented by the shaded area is \(175\%\)

Step-by-step explanation:

The percent being represented by the shaded area can be calculated as follows

The first step is to evaluate the left square

Since each square represents one whole, and since the left square is all shaded in of \(4\) then the percent being represented by the shaded area in the left square is

\(1=\frac{4}{4}=\frac{100}{100}=100\%\)

The percent being represented by the shaded area in the first or the left square is \(100\%\)

The second step is to evaluate the right square

Since the right or the second square is \(3\) shaded in of \(4\), then the fraction being represented by the shaded area in the second square is

\(\frac{3}{4}\)

The third step is to convert \(\frac{3}{4}\) into the percent form by the following equation

\(\frac{3}{4}=\frac{x}{100}\)

Where \(x\) is the percent value for the second square

Multiply both side by \(100\) to isolate \(x\)

\(\frac{3}{4}\times 100=\frac{x}{100}\times 100\)

Simplify the equation

\(\frac{300}{4}=x\)

Simplify the left side of the equation

\(75=x\)

Since the value of \(x\) is \(75\), then the percent being represented by the shaded area in the second square is \(75\%\)

The fourth step is to calculate the total percent being represented by the all shaded area

Since the total percent is the sum of the percent for the first square and the percent for the second square, then it follows

\(\text{Total percent}=100\%+75\%\)

Simplify the equation

\(\text{Total percent}=175\%\)

Hence the percent being represented by the shaded are is \(175\%\)

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The cost of each order of french Fries is $1.75.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Wendell purchased a hot dog and 3 orders of French fries for $6.00.

If the hot dog cost $2.25.

Then the cost of Hot dog

= 6 - 2.25

= 3.75

and, the cost of each order of French Fries

= 3.75 / 3

= $1.25

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Answer:

Tell me you address right now!!!

Step-by-step explanation:

I am gonna call police for help!

The standard deviation for the total portfolio returns can be calculated using the weighted average of the standard deviations of the index fund and the risk-free asset. The standard deviation for the total portfolio returns is 10.5%.


The standard deviation of a portfolio measures the variability or risk associated with the portfolio's returns. In this case, the portfolio is 70% invested in an index fund (with a standard deviation of returns of 15%) and 30% invested in a risk-free asset.

To calculate the standard deviation of the total portfolio returns, we use the weighted average formula:

Standard deviation of portfolio returns = √[(Weight of index fund * Standard deviation of index fund)^2 + (Weight of risk-free asset * Standard deviation of risk-free asset)^2 + 2 * (Weight of index fund * Weight of risk-free asset * 1Covariance  between index fund and risk-free asset)]

Since the risk-free asset has a standard deviation of zero (as it is risk-free), the second term in the formula becomes zero. Additionally, the covariance between the index fund and the risk-free asset is also zero because they are independent. Therefore, the formula simplifies to:

Standard deviation of portfolio returns = Weight of index fund * Standard deviation of index fund

Plugging in the values, we get:

Standard deviation of portfolio returns = 0.70 * 15% = 10.5%

Hence, the standard deviation for the total portfolio returns is 10.5%. This means that the total portfolio's returns are expected to have a variability or risk represented by this standard deviation.

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Answer:

91

Step-by-step explanation:

This is a supplementary angle, which means both add up to 180. Sinmple math ;v; 180-98 is 91. That’s cook.

Answer:

3085

113

as a fraction!

Answer:

x<4

Step-by-step explanation:

Here, hope this helped!

A quick tip, just think that the sign is an equal sign, that helps.

Answer: \(x < 4\)

Step-by-step explanation:

Our inequality is \(3x-3 < 9\)

We will add 3 to both sides. (addition property of equality)

Simplify \(9 + 3 9+3 9+3 ~to ~12\).

Then divide both sides by 3. (division property of equality)

\(3x\)÷\(3 < 12\)÷\(3\)

\(\frac{3x}{3} < \frac{12}{3}\)

Simplify \(312~to~4\).

B. 2 18 3

Step-by-step explanation:

on edg

7 is what percent of 90

Let us put it as an equation

7 = x% * 90

Is means = and of means times

You must change x% to normal value by divide x by 100

Now we will solve the equation

Multiply both sides by 100 to cancel the denominator in the right side

To find x divide both sides by 90

x = 7.8

7 is 7.8% of 90

Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the height of the cylinder

We have

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

Answer:

it would still be the same length due to the fact that it did not change lengths.

Step-by-step explanation:

The system of inequalities that best models the graph is given as follows:

B. y > x - 4 and y < -2/3x - 2.

Both bounds are dashed, hence the intervals are open.

The upper bound of the solution is the decreasing line, with slope of -2/3 and intercept of -2, hence:

y < -2/3x - 2.

The lower bound of the solution is the increasing line, with slope of 1 and intercept of -4, hence:

y > x - 4.

Hence option b is correct.

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Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Answer:

1. True

2. False

3. True

4. False

Step-by-step explanation:

Answer:

11/5 i think sorry if wrong if not i think it will be

4/5

Step-by-step explanation:

hope this helps!

have a good day

The length of one side of the square is approximately 0.4 units.

Let's assume that the side length of the square is "s" units.

When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.

The formula for the area of a right-angled triangle is:

Area = (1/2) * base * height

Since the triangles are equal, we can write:

0.08 = (1/2) * base * height

Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.

Let's assume the base and height of one triangle are "b" and "h," respectively.

0.08 = (1/2) * b * h

We are given that the area of each triangle is 0.08 square units, so we can write:

0.08 = (1/2) * s * s

Now, we can solve for "s":

\(s^2 = 0.08 * 2\\s^2 = 0.16\)

Take the square root of both sides:

\(s = \sqrt{0.16}\\s \approx 0.4\)

So, the length of one side of the square is approximately 0.4 units.

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Answer:

8*4+3*2

Step-by-step explanation:

Answer:

Step-by-step explanation:

8*4 + 3*2

= 32 + 6

= 38//

The question asks to rewrite it using multiplication. It's not asking to simplify. Then the answer is 8*4 + 3*2.

Answer: D

To solve the equation we proceed as follows:

log5(10x-1)=log5(9x+7)

canceling out log5 we get:

(10x-1)=(9x+7)

solving for x we get:

10x-9x=7+1

x=8

thus the value of x=8

Step-by-step explanation:

it was on brainly already

Answer:

The second option. y = 3x +3

Step-by-step explanation:

※ x = -4

y = 3(-4) + 3

= -12 + 3

= -9

※ x = 3

y = 3(3) +3

= 9 + 3

= 12

Answer:

Its C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Take point A at ( 4,-1)

We are shifting down 2 and to the right 4

(4-2, -1+4) becomes ( 2,3)

Choice C has A' at ( 2,3)

Step-by-step explanation:

hope this helps you

..................

we get that

as the figure are congruent we get

so the volume is

Answer:

area ≈ 12.505

perimeter ≈  16.1684

Step-by-step explanation:

We are given

- the radius of the circle (and therefore area of the circle)

- the area of the triangle

We want to find

- angle AOB/AOT. We want to find this because 360/the angle gives us how many OABs fit into the circle. For example, if AOT was 30 degrees, 360/30 = 12 (there are 360 degrees in a circle, so that's where 360 comes from). The area of the circle is equal to πr² = π6² = 36π, and because AOT is 30 degrees, there are 12 equal parts of sector OAB in the circle, so 36π/12=3π would be the area of the sector. A similar conclusion can be reached from the circumference instead of the area to find the distance between A and B along the circle, and OA + AB + BO = the perimeter of the minor sector.

First, we can say that OAT is a right triangle because a tangent line is perpendicular to the line from the center to the point on the circle, so AT is perpendicular to OA. This forms two right angles, one of which is OAT

One thing that we can start to solve is AT. We know that the area of a triangle is equal to base * height /2, and the height of this triangle is AO, with the base being AT. Therefore, we can say

15 = AO * AT / 2

15 = 6 * AT / 2

15 = 3 * AT

divide both sides by 3 to isolate AT

AT = 5

Because OAT is a right triangle, we can say that the hypotenuse ² =  the sum of the squares of the two other lengths. The hypotenuse is opposite of the largest angle (in this case, the right angle, as in a right triangle, the right angle is always the largest), so it is OT in this case. The other two sides are OA and AT, so we can say that

OA² + AT² = OT²

5²+6² = OT²

25+36=61=OT²

square root both sides

OT = √61

Next, the Law of Sines states that

sinA/a = sinB/b = sinC/c with angles A, B, and C with sides a, b, and c. Corresponding sides are opposite their corresponding angles, so in this case, AT corresponds to angle AOT, OT corresponds to angle OAT, and AO corresponds to angle ATO.

We want to find angle AOT, as stated earlier, so we have

sin(OAT)/OT = sin(ATO)/OA = sin(AOT)/AT

We know the side lengths as well as OAT/sin(OAT) and want to figure out AOT/sin(AOT), so one equation that helps us get there is

sin(OAT)/OT = sin(AOT)/AT, encompassing our 3 known values and isolating the one unknown. We thus have

sin(90)/√61 = sin(AOT) /5

plug in sin(90) = 1

1/√61 = sin(AOT)/5

multiply both sides by 5 to isolate sin(AOT)

5/√61 = sin(AOT)

we can thus say that

arcsin(5/√61) = AOT ≈39.80557

As stated previously, given ∠AOT, we can find the area and perimeter of the sector. There are 360/39.80557 ≈ 9.04396 equal parts of sector OAB in the circle. The area of the circle is πr² = 36π, so 36π / 9.04396 ≈ 12.505 as the area. The circumference is equal to π * diameter = π * 2 * radius = 12 * π, and there are 9.04396 equal parts of arc AB in the circumference, so the length of arc is 12π / 9.04396 ≈ 4.1684. Add that to OA and OB (both are equal to the radius of 6, as any point from the center to a point on the circle is equal to the radius) to get 6+6 + 4.1684 = 16.1684 as the perimeter of the sector

The value 30 is not present in the given data set.The given data set is: 67,38,21,89,23,36,82,11,53,77,29,17

In order to search for the values 29 and 30 in the data set using binary search algorithm, the given data set should be sorted in ascending order.

Arranging the given data set in ascending order, we get11, 17, 21, 23, 29, 36, 38, 53, 67, 77, 82, 89

a) Search for value 29 Binary search algorithm for the value 29:

Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.

Step 2: If L > R, then 29 is not present in the data set. Go to Step 7.

Step 3: Set mid to the value of ⌊(L + R) / 2⌋.Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.

Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.

Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.

Step 7: Stop. The algorithm has searched the entire data set and 29 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 29 is:We can see that the binary search algorithm for the value 29 has terminated in the fifth iteration.

Thus, the value 29 is present in the given data set.b) Search for value 30Binary search algorithm for the value 30:

Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.

Step 2: If L > R, then 30 is not present in the data set. Go to Step 7.

Step 3: Set mid to the value of ⌊(L + R) / 2⌋.

Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.

Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.

Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.

Step 7: Stop. The algorithm has searched the entire data set and 30 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 30 is:

We can see that the binary search algorithm for the value 30 has terminated in the fifth iteration.

Thus, the value 30 is not present in the given data set.

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Answer:

option B

Step-by-step explanation:

7 sq rt 3 cannot be simplified

4 sq rt 6 cannot be simplified

sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3

sq rt 54 =  (sq rt 9 · sq rt 6) = 3 · sq rt 6

combine each pair of like terms:  (7 sq rt 3 + 4 sq rt 3) =  11 sq rt 3

                                                        (-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6

On solving the provided question we can say that - volume of 1 ball = V = 4/3 \(\pi r^3\\\) and volume of 8 balls = 40928.196

The geometric equivalent of a two-dimensional circle in three dimensions is a sphere. In 3D space, a sphere is a collection of points that are all located at the same r distance from a single point. The sphere's radius is denoted by r, and its center is the provided location. In geometry, a sphere is the collection of all points that are the same radius (distance) away from a certain point (center) in three dimensions, or the outcome of rotating a circle by one of its diameters. The parts and characteristics of a sphere resemble a circle's.

given,

radius of sphere = 10.7

volume of 1 ball = V = 4/3 \(\pi r^3\\\)

V= 4/3 X 3.14 X (10.7)  X (10.7) X (10.7)

V= 5116.0245

volume of 8 balls = 40928.196

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