A car travels 110km on 8 litres of petrol. How far will it travel on 20 litres?

The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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Answer:

See below

Step-by-step explanation:

First, graph the function to see that the domain ( the values of x the function can have in this context goes from 0 to 4  hours   ( after four hours the concentration goes negative.....can't happen in the real world)

  and the range is 0 to max of  8 mg/L

Here is the graph :

Answer:

A=45cm^2

Step-by-step explanation:

A= h/2(b1 + b2) for trapezoid

A=(5/2(6+12))cm^2

A=(2.5(18))cm^2

A=45cm^2

Answer:

sorry for the questions i am not able to give answer

It should be noted that a tabular method used to summarize the data on two variables is called cross-tabulation.

Cross-tabulation is also known as the contingency table. It is a tool in statistics used for the analysis of categorical data that involves mutually exclusive values.

It is a tabular method that can be used to summarize the data on two variables simultaneously.

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Answer:

Step-by-step explanation:

(1,0),(2,6). Explanation: express the equation, giving y in terms of x. ⇒y=6x−6. now choose any value for x , substitute into the equation

Answer:

148

Step-by-step explanation:

Answer:

21/16

Step-by-step explanation:

hope it hepls pa brainlest na din po

Answer:

in fraction= 1 5/16

in decimal = 1.3125

Evaluating Algebraic Expressions

We are given the expression:

-6b + 2a

And it's required to find the value of the expression for a=-6.9 and b=1.9

Substituting the values:

-6(-1.9) + 2(-6.9)

= 11.4 - 13.8

Operating:

=-2.4

The value is -2.4

The distribution of sample proportions with all the samples having the same sample size taken from the same population is known as the sampling distribution of the sample proportion.

Sample proportions are estimates of the proportion of individuals or items in a population that possess a certain characteristic of interest.

When we take a random sample from a population, we can use the sample proportion to estimate the population proportion. The sample proportion is the ratio of the number of individuals or items in the sample that possess the characteristic of interest to the total number of individuals or items in the sample.

For example, if we are interested in estimating the proportion of voters who support a particular candidate in a population of 10,000 voters, we could take a random sample of 500 voters and ask them if they support the candidate. If 250 of the 500 voters in the sample support the candidate, the sample proportion would be 250/500 = 0.5, or 50%.

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Full Question: What is the distribution of sample proportions with all the samples having the same sample size taken from the same population?

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

19 miles

Step-by-step explanation:

hope this helps!!

The true statements about the linear equation are:

"The y-intercept means the initial cost is $60."

"The slope means the cost increases $40 each hour."

Remember that the general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here the linear equation is:

y = 40x + 60

Where y is the cost for hiring an electrician for x hours.

We can se that the slope is 40, so that is what the electrician charges per hour, and the y-intercept is 60, so that is the initial cost.

Then the true statements are:

"The y-intercept means the initial cost is $60."

"The slope means the cost increases $40 each hour."

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Answer:B and C

Step-by-step explanation:

By mathematical induction, we have proved that cn = 4 · 2 n − 5 n for all integers n ≥ 1.

We will prove by mathematical induction that cn = 4 · 2 n − 5 n for all integers n ≥ 1.

Base case: When n = 1, we have c1 = 3 and 4 · 2^1 − 5^1 = 3. Therefore, the base case holds.

Inductive hypothesis: Assume that cn = 4 · 2 n − 5 n for some integer n ≥ 1.

Inductive step: We need to show that the hypothesis holds for n + 1, i.e., cn+1 = 4 · 2 n+1 − 5 n+1.

From the recurrence relation, we have:

cn+1 = 7cn − 10cn−1

Substituting the inductive hypothesis, we get:

cn+1 = 7(4 · 2 n − 5 n) − 10(4 · 2 n−1 − 5 n−1)

Simplifying the expression, we get:

cn+1 = 4 · 2 n+1 − 5 n+1

Therefore, the inductive step holds.

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Answer:

2) Yes, because every input (x) has an individual output (y)

6) No, because there is an input that has 2 outputs

8) No, because there is an input that has 2 outputs

11) (I am unsure, but I think it is) No, there is no inputs

12) No, because there is an input that has 2 outputs

Step-by-step explanation:

For functions, every input needs to have only one output

In a family with five girls and the probability of a boy being born is 1/2, the probability of the next child being a boy is still 1/2.

The previous births do not affect the probability of the next birth since each birth is an independent event.

The probability of an event occurring is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event of interest is the birth of a boy.

Since each birth is an independent event, the probability of having a boy on any given birth is always 1/2, regardless of the previous children born.

In the given scenario, the family already has five girls. This information is not relevant to the probability of the next child being a boy. The gender of the previous children does not affect the probability of the next child being a boy or a girl.

Therefore, the probability of the next child being a boy remains 1/2, as it is for any independent birth event.

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9. P(exactly one defective)= 0.384

10. P(at most one defective) = 0.512 + 0.384 = 0.896

To solve these probability problems, we can use the binomial probability formula. Let's tackle each question separately:

The probability that exactly one item will be defective in a sample of three items can be calculated as follows:

P(exactly one defective) = C(3, 1) × (0.2)¹ × (0.8)²

Here, C(3, 1) represents the number of ways to choose 1 item out of 3, which is equal to 3.

P(exactly one defective) = 3× (0.2)¹ ×(0.8)²

= 3× 0.2× 0.64

= 0.384

Therefore, the answer is B. 0.3840.

The probability that at most one item will be defective in a sample of three items can be calculated by summing the probabilities of having exactly zero and exactly one defective item:

P(at most one defective) = P(zero defective) + P(exactly one defective)

P(zero defective) = C(3, 0)× (0.2)⁰× (0.8)³

= 1 × 1 × 0.512

= 0.512

P(exactly one defective) = C(3, 1)×(0.2)¹ × (0.8)²

= 3×0.2×0.64

= 0.384

P(at most one defective) = 0.512 + 0.384

= 0.896

Therefore, the answer is D. 0.8960.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer:

add

Step-by-step explanation:

because adddffffycy8gc

Answer:

4 seconds

===========================

Given is the

quadratic function

, which has a graph of parabola.

It has two

x-intercepts

, with the greater one representing the

projectile on the ground, at h(t) = 0

.

Let's

solve

the equation:

- 16t² + 32t + 128 = 0

t² - 2t - 8 = 0

t² - 2t + 1 - 9 = 0

(t - 1)² = 9

t - 1 = 3 and t - 1 = - 3

t = 4

and t = - 2

The root with the greater value is

t = 4

, which represents the time we need.

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:4 \:\: sec \)

____________________________________

\( \large \tt Solution \: : \)

height of an object projected in air with time is represented by the given equation :

\(\qquad\displaystyle \tt \rightarrow \: h(t) = - 16 {t}^{2} + 32t + 128\)

The height when the object hits the ground will be 0

so, just equate the equation with 0, and we will get the value of t (time) when the projectile will be back to ground.

\(\qquad\displaystyle \tt \rightarrow \: - 16 {t}^{2} + 32t + 128 = 0\)

\(\qquad\displaystyle \tt \rightarrow \: - 16( {t {}^{2} - 2t}^{} - 8) = 0\)

\(\qquad\displaystyle \tt \rightarrow \: t {}^{2} - 2t - 8 = 0\)

\(\qquad\displaystyle \tt \rightarrow \: t {}^{2} - 4t +2 t - 8 = 0\)

\(\qquad\displaystyle \tt \rightarrow \: t(t - 4) + 2(t - 4) = 0\)

\(\qquad\displaystyle \tt \rightarrow \: (t - 4)(t + 2) = 0\)

So,

\(\qquad\displaystyle \tt \rightarrow \: t = 4 \: \: \: \: or \: \: \: \: t = - 2\)

but since time can't be negative, t = 4 seconds

The object will be back on ground after 4 seconds.

Answer:

A 9/10

Step-by-step explanation:

6% is 0.06 so you do 0.6 times 15 so in decimal form it is 0.9=9/10

Answer:

9\10

I tried 9\10 and it was correct! :)

Answer:

d can be right answer....

Answer:

The equation of the parabola will be:

Step-by-step explanation:

The vertex  (h, k)  is halfway between the directrix and focus.

Find the  x  coordinate of the vertex using the formula

x = (x-coordinate of focus + directrix)/2

 = (3-3)/2

 = 0/2

 =0

The  y -coordinate will be the same as the y-coordinate of the focus.

so the vertex will be: (0, 0)

Finding the distance from the focus to the vertex

The distance from the focus to the vertex and from the vertex to the directrix is |p|.

Subtract the  x  coordinate of the vertex from the x -coordinate of the focus to find  p .

\(p=3-0\)

\(p=3\)

Substitute in the known values for the variables into the equation

\(\left(y-k\right)^2=4p\left(x-h\right)\)

\(\left(y-0\right)^2=4\left(3\right)\left(x-0\right)\)

\(\:y^2=12x\)

Therefore, the equation of the parabola will be:

When constructing a histogram, the horizontal (x) axis represents the range of values of the variable being measured or observed, while the vertical (y) axis represents the frequency or count of observations falling within each interval or bin.

More specifically, the x-axis usually represents the range of possible values of the variable being measured or observed, divided into a series of intervals or bins. Each bin represents a range of values that fall within a certain interval or category. The width of the bins should be chosen carefully to ensure that the data is displayed clearly and accurately.

The y-axis represents the frequency or count of observations that fall within each bin. This can be represented as either the number of observations that fall within each bin or as a percentage of the total number of observations. The y-axis should also be chosen carefully to ensure that the data is displayed clearly and accurately.

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B,C,D

Step-by-step explanation:

Answer:

eda periodt

Step-by-step explanation:

The series converges because the limit of the ratio test is < 1.

To determine if the series is convergent or divergent using the ratio test, you first need to identify a_k, which is the general term of the series. In this case, a_k = 6k \(e^-^k\) . Then, evaluate the limit lim (k→∞) (a_(k+1) / a_k). If the limit is < 1, the series converges; if it's > 1, it diverges.

We have a_k = 6k \(e^-^k\). Apply the ratio test by finding lim (k→∞) (a_(k+1) / a_k) = lim (k→∞) [(6(k+1)\(e^-^(^k^+^1^)\)))/(6k \(e^-^k\))]. Simplify to get lim (k→∞) ((k+1)/k * e⁻¹). As k approaches infinity, the ratio approaches e⁻¹, which is < 1. Therefore, the series converges.

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Answer:

8 days

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

\(f(x) = 6(1-x)\\\\f(-8)=6[1-(-8)] = 6(1+8) = 6(9) = 54\)

When an individual gets 322 out of 426 as a grade is means that such got a total of = 75.6%

To determine the percentage of the given score, the score gotten should be divided by the overall score and the result multiplied by 100.

This is carried out to determine the score of the individual in percentage.

That is;

= 322/426 × 100/1

= 32200/426

= 75.6%

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Answer:

Step-by-step explanation:

In all Markov-chain problems, the first thing to set up is the state space; in your case the system would be described by pairs which indicate the state of the beds, say e for empty, f for full and d for discharging. So one state would be a pair, for instance {e,d} would indicate that one bed is empty and one bed contains a patient that will leave on the next day. One possible state-space describing the clinic is,

S={{e,e},{e,d},{e,f},{d,f}}.

Note that in the problem (and in the model) there is no ordering in the beds and {e,d} is the same as {d,e}; note also that the case {f,f} is impossible because two guests cannot arrive together and, in case one bed is f on one day it would become d on the following day.

Once the state space is defined, you have to define the transition function which gives the probability of the next state given the current state. In such a small problem can be done by plain enumeration of cases with their associated probabilities p

Stationary probability: Let stationary probability of a state i

is given as PI(ij).So from the lingo results, the stationary probabilities are as follows.

PI(00)=0.182

PI(01)=0.182

PI(10)=0.159

PI(11)=0.250

PI(12)=0.091

PI(20)=0.023

PI(21)=0.068

PI(22)=0.045

Here PI(00)=0.182 represents the stationary probability of state 00.

Let the fraction of days where all beds are utilized is represented as PI(2).

Here PI(12) denotes the function, where for 2 consecutive days the 1

bed was utilized for 1 day and 2 beds were in use on the consecutive day.

So, PI(2) can be calculated as:

PI(2)=PI(12/2)+PI(20/2)+PI(21/2)+PI(22)

=0.091/2+0.023/2+0.068/2+0.045

=0.0455+0.0115+0.034+0.045

=0.136

So, 13.6% of times, all the beds are utilized.