Increase £490 by 11% give your answer rounded to 2 DP.

Answer:

2 liters

Step-by-step explanation:

There are 5 beakers in total, in which David adds 0.4 liters into each of them.

To solve, multiply 5 with 0.4: 5 x 0.4 = 2.0

2.0 or 2 liters is your answer.

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Answer:

Hope the picture will help you.....................

Step-by-step explanation:

1) 35×23 = 805

2) 800/40=20

3)170/10=17

4) 2000-805-800-170=225

5)225/15=15

Hence answers

1)805

2)20

3)17

4)225

5)15

Answer:

9 yards

Step-by-step explanation:

36/4=9

The annual growth rate is 1.81%. The value of the house in 2010 was approximately $236,403.

a. To find the annual growth rate between 1985 and 2005, we can use the formula:

Annual growth rate = (Ending value / Starting value)^(1 / number of years) - 1

In this case, the starting value is $150,000, the ending value is $215,000, and the number of years is 20 (2005 - 1985).

Substituting the values into the formula, we have:

Annual growth rate = ($215,000 / $150,000)^(1 / 20) - 1 ≈ 0.0181, or 1.81%

Hence, the annual growth rate is 1.81%.

b. To find the value of the house in 2010, we can use the formula:

Future value = Starting value * (1 + Annual growth rate)^(number of years)

In this case, we want to find the value in 2010, which is 5 years after 2005.

Future value = $215,000 * (1 + 0.0181)^5 ≈ $236,403

So, the value of the house in 2010 was approximately $236,403.

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Answer:

24

Step-by-step explanation:

Answer:

7.5 inches

Step-by-step explanation:

If he is 5 feet 9 inches tall and Roberto is 6 foot 4.5 inches tall just count the inches until you get to 6"4

Answers:

The blue angle is 135 degrees

The angle is obtuse

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Explanation:

Along the inner ring of values, the left arrow points at 135 (the midpoint of 130 and 140). Therefore, the blue angle is 135 degrees. Or you could note that starting at 130, and counting 5 spaces, will get you to 135. You could start at 140, and count down 5 spaces to get to the same spot.

Another way you can get the answer is to note that the blue arrow on the left is pointing at 45 along the top ring of numbers. This adds to 90 to get 90+45 = 135

Either way, you should get to 135 degrees as the angle value.

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The angle is obtuse because the angle is larger than 90 degrees. It's wider or larger than a right angle.

The length of line CD is 15 cm.

To calculate the length of line CD, we can use the property of similar triangles.

In triangle ABC, we can see that triangle ABE is similar to triangle ACD.

Using the property of similar triangles, we can set up the following proportion:

AB/AC = BE/CD

Substituting the given values:

12/18 = 10/CD

To solve for CD, we can cross-multiply and solve the resulting equation:

12 × CD = 18 × 10

CD = (18 × 10) / 12

CD = 180 / 12

CD = 15

Therefore, the length of line CD is 15 cm.

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Using the AND rule of probability and percentage calculations, The answer is 0.0684.

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Percentages are fractions with a 100 as the denominator. The percent symbol (%) is used next to the number to denote that it is a percentage.

62% goes to college.

% not going to college = 100%-62%

=38%

on that 38%, 18% gets employment,

probability =  0.38 * 0.18

=0.0684

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Answer:

$2,407.5

Step-by-step explanation:

To solve this question, we will use the formula for calculating the amount formula as shown;

A =P(1+r)^n

Given that;

P = #$1300

r = 4.5% = 0.045

t = 14years

Substitute

A = 1300(1+0.045)^14

A = 1300(1.045)^14

A = 1300(1.8519)

A = 2,407.5

Hence Isabella would have $2,407.5 in her account after 14years

The value of AC is 22.5

The property of three parallel lines and their transversals is used to solve this sum. The property explains that if the ratio of the corresponding intercepts made on any other transversal by the same parallel lines is the same as the ratio of the intercepts made on a transversal formed by three parallel lines.

XY ║seg AC

2AX = 3BX

XY = 9

Since, 2AX =3BX

∴ AX÷ BX = 3÷2

AX + BX÷ BX = 3+2÷2

AB ÷ BX = 5÷2

Δ BCA ~  ΔBYX (SAS test of similarity)

( The SAS similarity test determines whether two triangles are similar if the ratio of the lengths of two sides of one triangle equals the ratio of the lengths of two sides of another triangle, and the included angles are equal.)

∴ BA ÷ BX = AC ÷ XY ( Corresponding sides)

∴ 5÷ 2 = AC ÷ 9

∴ AC = 22.5

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By following these way, you can find the probability that at most 89 children out of 250 have blood type O.

To find the probability that at most 89 children out of 250 have blood type O, we need to calculate the accretive probability of having 89 or smaller children with blood type O.

Let's denote X as the number of children with blood type O. Since each child has a probability of0.25 of having blood type O, X follows a binomial distribution with parameters n = 250( number of trials) and p = 0.25( probability of success).

To calculate the probability, we can use the binomial accretive distribution function( CDF). still, calculating the CDF for such a large number of trials can be computationally ferocious. In this case, we can use a normal approximation to the binomial distribution when the number of trials is large and the probability of success isn't too close to 0 or 1.

First, we calculate the mean( μ) and standard divagation( σ) of the binomial distribution

μ = n * p = 250 *0.25 = 62.5

σ = sqrt( n * p *( 1- p)) = sqrt( 250 *0.25 *0.75) ≈8.839

Next, we use the normal approximation and regularize the values to find the probability

P( X ≤ 89) = P( Z ≤( 89- μ)/ σ)

= P( Z ≤( 89-62.5)/8.839)

Using a standard normal distribution table or calculator, we can find the corresponding probability.

You can use the standard normal distribution table or a statistical software to find the probability that corresponds to the standardized value.

By following these way, you can find the probability that at most 89 children out of 250 have blood type O.

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Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insures against the loss of the luggage. What is the maximum insurance premium I that Emma would be willing to pay?

Solution:To calculate Emma's maximum insurance premium, let's start by calculating her expected utility if she doesn't insure her luggage.U (no insurance) = 0.9 x U (316.05) + 0.1 x U (0)where U (316.05) is Emma's utility function for 316.05 value, and U (0) is Emma's utility function for a loss of the luggage. Emma has not insured her luggage, hence, if it gets lost, she will get 0 value for it.A sum of 316.05 is worth more than 0, Emma will still get a certain amount of utility, which will be larger than 0.

Therefore, Emma's utility function is likely to be positive, so let us assume that U (0) = 0.If we plug this information into the above equation, we will have:U (no insurance) = 0.9U (316.05) + 0.1 × 0 = 0.9U (316.05)Hence, Emma's expected utility, if she doesn't insure her luggage, will be 0.9U (316.05).However, if Emma chooses to insure her luggage, she will pay the insurance premium I. If the luggage gets lost, she will get reimbursed by the insurance company for 316.05. Her expected utility function, if she insures her luggage, will be:

U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)Where U (316.05 – I) is Emma's utility function for 316.05 – I value. Emma will get this amount if the luggage is not lost, but she has to pay the premium I.If we compare Emma's expected utility when she insures her luggage and when she doesn't insure her luggage, we will have the following inequality:

U (insurance) ≥ U (no insurance)0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)Let us solve this inequality:0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Since U (316.05 – I) is a decreasing function, it will get smaller as I gets larger.

Hence, to maximize Emma's expected utility, we need to minimize the insurance premium I that she pays to the insurance company.If Emma doesn't insure her luggage, her expected utility will be 0.9U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage.U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Hence,Emma's maximum insurance premium I that Emma would be willing to pay is $31.35.

If Emma chooses to insure her luggage, she will pay the insurance premium I. Her expected utility function, if she insures her luggage, will be U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05). Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Therefore, Emma's maximum insurance premium I that Emma would be willing to pay is $31.35. The utility function is considered decreasing as Emma has to pay more premium.

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Answer:

parallel

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slopes m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)

m = \(\frac{3-2}{2+1}\) = \(\frac{1}{3}\)

Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)

m = \(\frac{1-0}{3-0}\) = \(\frac{1}{3}\)

Since slopes are equal then parallel

Answer:

With inequalities, you always use the opposite.

Step-by-step explanation:

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A researcher looking to estimate the percentage of teenagers in the US who support the legalization of recreational marijuana should employ descriptive statistics, specifically using a proportion or percentage to summarize the data collected from a representative sample of teenagers.

The researcher should employ inferential statistics to obtain the answer to her question. She could use survey sampling methods to collect data from a representative sample of teenagers in the US and use statistical analysis techniques such as hypothesis testing and confidence intervals to estimate the percentage of teenagers who support the legalization of recreational marijuana in the entire population of US teenagers.

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The conjectures can be disproven with counterexamples.

The first conjecture states that if f(n) = 0(g(n)), then g(n) = O(f(n)). However, this is not true in general. To disprove this, we can consider a counterexample where f(n) = n and g(n) = n^2. Here, f(n) is indeed O(g(n)), but g(n) is not O(f(n)), as g(n) grows faster than f(n).

The second conjecture suggests that if f(n) + g(n) = Theta(min(f(n), g(n))), then it holds true. However, this is not always the case. Counterexamples can be found by considering functions where f(n) and g(n) have different growth rates.

The third conjecture claims that if f(n) = 0(g(n)), then lg(f(n)) = O(lg(g(n))). However, this conjecture is also false. A counterexample can be constructed by taking f(n) = n and g(n) = n^2. While f(n) is indeed O(g(n)), lg(f(n)) is not O(lg(g(n))) as lg(g(n)) grows much faster than lg(f(n)).

The remaining conjectures can be similarly disproven with suitable counterexamples. It is important to note that disproving a conjecture requires finding just one counterexample that contradicts the statement.

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\(\text{Solve:}\\\\(f + g)(x)\\\\6x^2+3x+1+2x^2-9\\\\8x^2+3x+1-9\\\\\boxed{8x^2+3x-8}\)

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

4

Step-by-step explanation:

The question is asking us to find what number multiplied by x, the input, will give us y, the output.

We can see that the first input is 5, and the output is 20, so we can set up an equation:

20=_5

_=4

So, the equation would represent:

y=4x

We can check our work with the second set of inputs and outputs:

60=(4)15, which is true, so 4 is the right number.

Hope this helps!

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

Answer: true

Step-by-step explanation:

Answer: True

Step-by-step explanation: Has to be true if a b and c are all numbers

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▹ Answer

3² * a² - b²

▹ Step-by-Step Explanation

9a² - b²

Break down each coefficient and variable:

9 = 3²

a² = a²

b² = b²

Combine everything together:

3² * a² - b²

Hope this helps!

CloutAnswers ❁

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Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a^2-b^2=[a+b][a-b] where a=3a and b=b

Answer: $15.10

Step-by-step explanation:

1. add 8.7 to 6.2 and you would get 14.9

2. then take 30 and take away 14.9 this leaves you with 15.10 and that is how you get your answer

i hope this helped

Answer:

The answer is 15.10

Step-by-step explanation:

add the two number

Answer:

A. x = -2

Step-by-step explanation:

2x² + 7x + 6 = 0

2(-2)² + 7(-2) + 6 = ?

8 + -14 + 6 = 0

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it