In kidney transplantations, compatibility between donor and receiver depends on such factors as blood type and antigens. Suppose that for a randomly selected donor from a large national kidney registry, there is a 10% chance that he or she is compatible with a specific receiver. A sample of size 5 donors are randomly selected from this registry. Find the probability that exactly 2 of the selected donors is compatible.

Answer:i think a sorry if my answer is incorrect

Step-by-step explanation:

Answer:

Area of annulus is 40.85cm² to 2d.p

Step-by-step explanation:

Area of shaded part=Area of bigger circle -Area of smaler circle

Area of annulus= πR²- πr²= π(R²-r²)

A=3.142(7²-6²)

A=3.142(49-36)

A=3.142×13

A=40.846cm²

A=40.85cm² to 2d.p

Answer: 80

Step-by-step explanation: Let x be the total number of people at the party.

According to the problem, the number of people who ate chicken wings was 14 less than 3/5 of the total number of people, so we can write:

34 = (3/5)x - 14

To solve for x, we can first add 14 to both sides of the equation:

34 + 14 = (3/5)x

48 = (3/5)x

Then we can multiply both sides by 5/3:

(5/3) * 48 = x

80 = x

Therefore, the number of people at the party was 80.

To write a one-step equation with the same solution, we can simply write:

x = 80

This is a one-step equation because the solution is obtained in just one step by assigning the value 80 to the variable x.

2 on division by 3/7 yields 14/3.

For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.

For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.

Implementing the same method to solve this question,

We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,

2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.

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Answer:

1. 1,800

2. 1.8

3. 886

4.4,093

Susan's gross capital loss on the sale of the stock was $127.62.

We have,

Susan's initial investment in the stock.

= 24.87 shares x $33.12/share

= $823.98

Four years later, she sold the shares.

= 24.87 shares x $28/share

= $696.36

To calculate the capital loss, we need to subtract the sale price from the purchase price:

= $823.98 - $696.36

= $127.62

Therefore,

Susan's gross capital loss on the sale of the stock was $127.62.

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The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

sorry if im wrong but im pretty sure -5/3

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.

Hope this helps!

Answer:

Step-by-step explanation:

The two points are (-6,8) and (8,0)

we can find the distance thanks to this formula

√(x1-x2)^2 + (y1-y2)^2 where x and y indicate the coordinates of the two points

√(-6-8)^2 + (8)^2 = √196 + 64 = √260 ≃ 16,12

════════ ∘◦❁◦∘ ════════

════════════════════

U1 = 9

r = 2

════════════════════

U6 = ?

════════════════════

\(un = a(r {)}^{n - 1} \)

\(u6= 9(2 {)}^{6 - 1} \)

\(u6 = 9( {2}^{5} )\)

\(u6 = 9(32)\)

\(u6 = 288\)

════════════════════

• Formula of geometric sequence

\(\boxed{\ un = a( {r)}^{n - 1}} \)

• Meaning

Un = nth term

a = 1st term

r = ratio

════════════════════

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.

Step-by-step explanation:

The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.  

Answer:

B

Step-by-step explanation:

The cells are in the shape of a 2x3 rectangle with a square attached to the side with 2 cells. The only stacks that could possibly be in this shape are B and C. Since C has three stacks of 1 in a row, the figure has to be B.

This can be checked by rotating B \(90^\circ\) counterclockwise, which would match the numbers in the cells.

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

Answer:

B- A square because it has 4 sides that are the same length.

Explain:

I misread earlier, but a rhombus is defined as a quadrilateral with four equal-legnth sides and opposite sides parallel to each other. All squares have all of these properties.

The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.

The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.

Calculate the standard error of the mean (SE).

The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).

\(SE =\dfrac{41.96}{\sqrt{7}}\)

   ≈ 15.85

Calculate the margin of error (MoE).

The margin of error is MoE = (t*) * SE.

MoE ≈ 2.447 * 15.85
        ≈ 38.78

Calculate the confidence interval.

The confidence interval is given by: Mean ± MoE.

Mean ± MoE ≈ 306.07 ± 38.78

Calculate the lower and upper bounds of the confidence interval.

Lower bound ≈ 306.07 - 38.78
                       = 267.29

Upper bound ≈ 306.07 + 38.78
                       = 344.85

Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

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Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that \(\mu = 3, \sigma = 0.04\)

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.96 - 3}{0.04}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

2TRN

Let me know if this is wrong!

233115555532224444432

Answer:

It will take them 8 hours to meet

Step-by-step explanation:

If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...

22 + 14 = 36 mph

Now divide the distance between them by the speed with which they get closer to each other, and get...

288 miles / 36 mph = 8h

Answer:

b= 5  A=13

Step-by-step explanation:

For a = b = 1/6, the solution at x = -5 exists for the function given.

We have the following equation -

ax + 16 = b − 3x

We have to find values of a and b for which x = − 5 is a solution.

The solution of function f(x) is the value of x for which f(x) = 0.

According to question, we have -

ax + 16 = b − 3x

Put x = - 5

a x -5 + 16 = b - 3 x -5

-5a + 16 = b + 15

b + 5a = 1

for a = b, we get -

6a = 1

a = b = \(\frac{1}{6}\)

Hence, for a = b = 1/6, the solution at x = -5 exists for the function given.

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Answer:

0.158203125

i think

Answer: x=6, y=2, z=0

Step-by-step explanation:

We know from the third equation that z=8-4y

and from the first that x=y+4

Substitute into the 2nd equation,

4(y+4)-7(8-4y)=24

4y+16-56+28y=24

32y-40=24

32y=64

y=2

Meaning x=6 and z=0.

1) x + 16 = 58

2) 8x = 80

3) 12/x = 3

4) x - 8 = 21

Answer:

(The ones underlined are the equation)

1) Let the number be x

x + 16 = 58

x = 58 - 16

x = 42

2) let the number be x

x * 8 = 80

x = 80/8

x = 10

3) let the number be x

12/x = 3

x = 12/3

x = 4

4) let the number be x

x - 8 = 21

x = 21 + 8

x = 9

Answer:

i think 13

Step-by-step explanation:

60+57=117

117/9=13

Answer:

I think it's decameter^^

The area of the shaded region is equal to 45 square units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = 8 × 6

Area of rectangle = 48 square units.

Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;

L₁ = 8 - 5 = 3 units.

L₂ = 6 - 4 = 2 units.

Area of right triangle = 1/2 × 3 × 2

Area of right triangle = 3 square units.

For the area of the shaded region, we have:

Area of the shaded region = 48 square units - 3 square units.

Area of the shaded region = 45 square units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.

Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.

The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:

Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%

Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%

We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:

Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)

Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185

We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.

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Each person buys a number of cakes

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Andy buys x cakes, Betty buys 4 times as many cakes as andy, and colin buys 3 more cakes than andy

So,

Andy has = x Cakes

Betty have = 4x Cakes

Clin has = x +3 Cakes

Since each cake costs 65p and the total cost of the cakes is £52.65

thus,

0.65( x + 4x + x +3) = 52.62

x + 4x + x +3 = 81

6x = 78

x = 13

Therefore,

Andy has = 13 cakes

Betty has = 4x = 4*13 = 52 cakes

Colin has = x + 3 = 16 cakes

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