In 2004 a certain oil company spent sh 1740000 on crude oil import .This was a 20%increase 0ver the money on crude oil import in 2003.
a) How much did the company spend on crude oil import in 2003.
b)What was the difference in the money spent on crude oil import in the two years?​

The proportion of the player's serves between 110 mph and 132 mph is 0.1992

Given that the mean serve speed of a particular player was 100 miles per hour (mph) and the standard deviation of the serve speeds was 12 mph. Also, the distribution of the serve speeds was mound-shaped and symmetric.

To find out the proportion of the player's serves was between 110 mph and 132 mph, we need to standardize the given range to z-scores as shown below:

First, we find the z-score for the lower limit:z1 = (110 - 100)/12 = 0.83 (approx.)

Then, we find the z-score for the upper limit:z2 = (132 - 100)/12 = 2.67 (approx.)

Now, using the standard normal table, we find the area between these two z-scores as shown below:

Z-Score Table. We get the area between these two z-scores as 0.4959 - 0.2967 = 0.1992 (approx.)Therefore, the proportion of the player's serves between 110 mph and 132 mph is 0.1992 (approx.).

Know more about Z-Score Table here:

https://brainly.com/question/30766028

#SPJ11

Answer:

I think it's the zero property

Step-by-step explanation:

Answer:

  (smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

__

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

_____

Additional comment

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.

Answer:

22

Step-by-step explanation:

By the segment addition postulate, FH=8+14=22.

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Answer:

|7| = 7

|-7| = 7

Step-by-step explanation:

Each is 7 numbers away from zero.

Absolute value is always positive.

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

Know more about Prime numbers here :

https://brainly.com/question/145452

#SPJ11

Answer:

See below.

Step-by-step explanation:

Let x represent the number of days.

Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:

\(y=20x+15\)

Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.

For Bark Time Hotel, similarly:

\(y=30x+5\)

Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.

Thus, the system of equations is:

\(y=20x+15\\y=30x+5\)

The system that represents this real-world situation is:

Cost = 20d + 15

Cost = 30d + 5

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The system that represents this real-world situation is:

Let d be the number of days the pet will be boarded.

For Day and Night Kennel:

Cost = 20d + 15

For Bark Time Hotel:

Cost = 30d + 5

In this system, d represents the number of days the pet will be boarded, the constant 20 represents the daily boarding fee charged by Day and Night Kennel, the constant 30 represents the daily boarding fee charged by Bark Time Hotel, the constant 15 represents the one-time food fee charged by Day and Night Kennel, and the constant 5 represents the one-time food fee charged by Bark Time Hotel.

Thus,

Cost = 20d + 15

Cost = 30d + 5

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Answer:

The answer is B.

Step-by-step explanation:

A placebo is a fake medicine

You can learn more about a placebo by reading a book called Mesmerized. It basically talks about the origin of the placebo effect and all that.

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

\((y-k)=n(x-h)^2\)

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

\(\dfrac{1}{n}(y-k)=(x-h)^2\)

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

where \(p=\dfrac{1}{n}\), the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, \(|-0.5|=0.5\)

For option B, \(|5|=5\)

For option C, \(|8|=8\)

For option D, \(|-10|=10\)

Since, the equation is option A has smallest value of |p|, therefore, the equation \((x+2)^2=-0.5(y+3)\) represents the steepest parabola.

Hence, the correct option is A.

Answer:

She would have $1080 dollars in 48 months.

Step-by-step explanation:

So she earned 8% interest in 48 months.

So you find 8% of 1000 and that would be 80 and add 80 to 1000 because she gained 80 dollars in interest over 48 months so in 48 months she has $1080 dollars.

Answer:

12/3=4 ..............

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3  

g(-1) = 4  and f(4) = 8

g(2) = 7 and  f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

(f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

To find (f ◦ g)(x), we need to apply g(x) to each input in f(x), and then apply f(x) to the resulting outputs from g(x).

First, let's apply g(x) to each input in f(x):

g(2) = 3 (from (2,3) in f(x))

g(4) = 8 (from (4,8) in f(x))

g(7) = -1 (from (7,-1) in f(x))

Next, we apply f(x) to the resulting outputs from g(x):

f(3) = undefined (no input in f(x) produces an output of 3)

f(8) = undefined (no input in f(x) produces an output of 8)

f(-1) = undefined (no input in f(x) produces an output of -1)

Therefore, (f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

To know more about function follow

https://brainly.com/question/25638609

#SPJ2

The correct match is:1. Domain (all real numbers): Range = {3, 4, 5, 6}2. Domain = Range = (all real numbers)3. Domain = (all real numbers), Range = {3}4. Domain = {2}

1. the range set of E= ((3, 3), (4, 4), (5, 5), (6, 6)) : Domain (all real numbers), Range = {3, 4, 5, 6}

2. the range and domain of F = {(x, y) l x+y=10) : Domain = Range = (all real numbers)

3. the range and domain of P = ((x, y) ly=3] : Domain = (all real numbers), Range = {3}

4. the domain set of C= {(2, 5), (2, 6), (2, 7)) : Domain = {2}

E = ((3, 3), (4, 4), (5, 5), (6, 6))

range sets where range is the set of all y-values ​​in the specified set of points is.

range = {3, 4, 5, 6}

range and domain of F = {(x, y) | x + y = 10}

where range is all A set of y-values.

area = {y | y = 10 - x}

and the domain is the set of all x values ​​that satisfy the equation x + y = 10.

domain = {x | x is a real number}

P = ((x,y) | y = 3] range and region

range is given directly as y = 3. Therefore range is {3}.

Also, no constraint is specified on x, so the domain can be any real number.

domain = (all real numbers)

domain of C = {(2, 5), (2, 6), (2, 7)}

where domain is the set of all x values A set of specified points.

domain = {2}

matches option:

E range set = ((3, 3), (4, 4), (5, 5), (6, 6))

matches less ( 3, 4, 5, 6)

F = {(x, y) | range and range = ((x,y) | y = 3]

match: range = {3}, range = (all real numbers)

domain set for C = {(2, 5), (2, 6 ), (2, 7)}

Matches: (2)

So the match is:

(3 , 4, 5, 6)

range = range = (all real numbers)

range = {3}, range = (all real numbers)

For more related questions on Range:

https://brainly.com/question/29204101

#SPJ8

Answer:

1 or 2

Step-by-step explanation:

Both look wrong, but 1 seems worse. Sorry if this is wrong.

Answer:

step 2 is wrong...-4-3=-7

Step-by-step explanation:

There are 4,782,905 strings with seven or more characters that can be formed from the letters in "evergreen".

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

The word "evergreen" has 9 letters. To find the number of strings with seven or more characters that can be formed from these letters, we need to count the total number of possible strings of length 7 or more, and then subtract the number of strings of length 6 or fewer.

The total number of possible strings of length 7 or more can be found by summing the number of strings of length 7, 8, 9, and so on. For each length, we can use the formula for counting the number of permutations with repetition:

\(n^r\)

where n is the number of distinct elements (in this case, 9 letters) and r is the length of the string. So the number of strings of length 7 or more is:

\(9^7 + 9^8 + 9^9 + ...\)

To subtract the number of strings of length 6 or fewer, we can sum the number of strings of length 1, 2, 3, 4, 5, or 6, and use the same formula:

\(9^1 + 9^2 + 9^3 + 9^4 + 9^5 + 9^6\)

Finally, we can subtract this sum from the first sum to get the total number of strings with seven or more characters:

\(9^7 + 9^8 + 9^9 + ... - (9^1 + 9^2 + 9^3 + 9^4 + 9^5 + 9^6)\)

This expression can be simplified using the formula for an infinite geometric series:

a/(1-r)

where a is the first term and r is the common ratio. In this case, a = 9⁷ and r = 1/9. So we get:

\(9^7/(1-1/9) - 9^1/(1-1/9)\)

= 4782969 - 9¹ * 8/9

= 4782969 - 64

= 4782905

Therefore, there are 4,782,905 strings with seven or more characters that can be formed from the letters in "evergreen".

To know more about sequence visit:

https://brainly.com/question/12246947

#SPJ4

The possible ages for Emily and Jacob are 16 and 19, or 17 and 20, or 18 and 21. Let's assume Emily's age is represented by 'E' and Jacob's age is represented by 'J'.

We are given that Emily and Jacob are three years apart, so we can write the equation:

E - J = 3

The sum of their ages is between 35 and 57, so we can write the compound inequality:

35 ≤ E + J ≤ 57

To solve this compound inequality, we can consider the lower and upper bounds separately.

For the lower bound:

35 ≤ E + J

Substituting E = J + 3 from the first equation, we have:

35 ≤ J + 3 + J

32 ≤ 2J

J ≥ 16

For the upper bound:

E + J ≤ 57

Substituting E = J + 3 from the first equation, we have:

J + 3 + J ≤ 57

2J ≤ 54

J ≤ 27

Combining the results, we find that Jacob's age can range from 16 to 27. Since Emily is three years younger than Jacob, her age will be 3 years less than Jacob's age. Therefore, the possible ages for Emily and Jacob are 16 and 19, or 17 and 20, or 18 and 21.

Learn more about compound inequality here: brainly.com/question/20296065

#SPJ11

The 90% confidence interval for the difference between the proportions of all users of the two toothpaste who will never switch is (0.009, 0.101).

To construct a 90% confidence interval for the difference between the proportions of all users of the two toothpaste who will never switch, we can use the following formula:

CI = (p1 - p2) ± Zα/2 * √(p1(1-p1)/n1 + p2(1-p2)/n2)

where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and Zα/2 is the critical value from the standard normal distribution for the desired confidence level.

Plugging in the values given in the problem, we get:

p1 = 90/450 = 0.20

p2 = 80/550 = 0.145

n1 = 450

n2 = 550

α = 0.10 (since we want a 90% confidence interval, which corresponds to a significance level of 0.10)

Zα/2 = 1.645 (from the standard normal distribution table)

Substituting these values into the formula, we get:

CI = (0.20 - 0.145) ± 1.645 * √((0.20 * 0.80 / 450) + (0.145 * 0.855 / 550))

Simplifying, we get:

CI = 0.055 ± 0.046

Therefore, the 90% confidence interval for the difference between the proportions of all users of the two toothpaste who will never switch is (0.009, 0.101).

To learn more about proportions visit:

https://brainly.com/question/31548894

#SPJ11

The exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

sin u=3/5, 0 < u < pi/2

tan u= 1/2, pi < u < 3pi/2

We need to find sin 2u, cos 2u, and tan 2u

sin2u=2sinucosu

tanu=sinu/cosu

1/2=3/5/cosu

cosu=3/5×2

cosu=6/5

So sin2u=2(3/5)(6/5)

sin2u=36/25

cos2u=1-2sin²u

=1-2(36/25)²

=1-2(1296/625)

=1-4.14

=-3.142

cos2u=-3.142

tan2u=sin2u/cos2u

Substitute the values of sin2u and cos2u

sin2u=36/25/(-3.142)

=1.44/-3.142

=-0.458

Hence, the exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer:

3.715

Step-by-step explanation:

7.802/2.1 = 3.715

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

\(\frac{1}{6}\) + \(\frac{1}{4}\) =  finding common denominator which is 12.   so multiply both sides  with what makes them 12 ...... \(\frac{1}{6}\)  \(\frac{2}{2}\)    & \(\frac{1}{4}\)\(\frac{3}{3}\)  then add = \(\frac{5}{12}\)

When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.

In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.

This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.

Learn more about  hypothesis testing

https://brainly.com/question/31199947

#SPJ4

Answer:

y = 105x

Step-by-step explanation:

Let x = hours passed and y = distance traveled (km). Since Sarah's car travels 105 kilometers each hour, the relationship between x and y is y = 105x.

The equation for the given situation is y=105x.

Given that, Sarah is on a road trip with her family if her mom is driving 105

kph.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Let the number of hours be x and the number of kilometers be y.

We know that, Speed = Distance/Time

⇒ 105=y/x

⇒ y=105x

Therefore, the equation for the given situation is y=105x.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ2

Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

B

Step-by-step explanation:

same as above,it answers the question because it talking about the company

A representative sample of the company’s employees is: D. every employee who is under the age of 35.

A representative sample can be define as the sample or random sample obtain on behalf of a wider group .

The manager of the company can tend to conduct the survey based on every employee  who is under the age of 35 as this will help to replicate or represent the wider group of employee.

Inconclusion a representative sample of the company’s employees is: D. every employee who is under the age of 35.

Learn more here  about representative sample here:https://brainly.com/question/25142707

Answer:

X = 2
Y = 8

Step-by-step explanation:

X is 2 because half of 4 is 2 and Y is 8 because double of 4 is 8.

The conversions are as follows:

a) £2500 is equivalent to Jam $105,000.

b) Can $2100 is equivalent to Jam $91,350 in Guy dollars.

c) US $2300 is equivalent to Jam $96,600.

d) $26.50 is equivalent to Guy #2,510 in Jam dollars.

To solve the given currency conversions, let's calculate each exchange rate step by step:

a) Converting £2500 to TT dollars:

Given: £1 = Can $1.00

We need to find the exchange rate for Can $1 to TT dollars:

Can $1 = Guy #92

Guy #92 = Jam $42

So, Can $1 = Jam $42

Now, let's calculate the conversion:

£2500 * Can $1.00 / £1 * Jam $42 / Can $1 = £2500 * Jam $42 / £1 = Jam $105,000

Therefore, £2500 is equivalent to Jam $105,000.

b) Converting Can $2100 to Guy dollars:

Given: Can $1 = Guy #92

We need to find the exchange rate for Guy #1 to Can dollars:

Guy #92 = Jam $42

So, Guy #1 = Jam $42 / 92

Now, let's calculate the conversion:

Can $2100 * Guy #1 / Can $1 * Jam $42 / Guy #92 = Can $2100 * Jam $42 / Can $1 * Guy #92 = Jam $91,350 / Guy #92

Therefore, Can $2100 is equivalent to Jam $91,350 in Guy dollars.

c) Converting US $2300 to Jam dollars:

Given: US $1.00 = Sterling £100

Sterling £1 = Guy #92

Guy #92 = Jam $42

So, US $1.00 = Jam $42

Now, let's calculate the conversion:

US $2300 * Jam $42 / US $1.00 = Jam $96,600

Therefore, US $2300 is equivalent to Jam $96,600.

d) Converting $26.50 to Jam dollars:

Given: Can $1:00 = Guy #92

We need to find the exchange rate for Jam $1 to Can dollars:

Guy #92 = Jam $42

So, Jam $1 = Guy #92 / Jam $42

Now, let's calculate the conversion:

$26.50 * Jam $1 / Can $1.00 * Guy #92 / Jam $42 = $26.50 * Guy #92 / Can $1.00 * Jam $42 = Guy #2,510

Therefore, $26.50 is equivalent to Guy #2,510 in Jam dollars.

for such more question on equivalent

https://brainly.com/question/2328454

#SPJ8

As the project progresses, the actual finish times (AFs) of completed activities play a crucial role in determining various aspects of the project schedule.

The AFs are used to calculate the earliest start and earliest finish times for the remaining activities in the network diagram. These calculations are based on the dependencies between activities and the actual durations of completed activities.

By considering the AFs, the project team can determine the earliest possible start and finish times for the remaining activities, taking into account the sequence of activities and any imposed constraints. This information helps in managing the project schedule and identifying any potential delays or critical paths.

Know more about actual finish times here:

https://brainly.com/question/31925763

#SPJ11

Answer:

65.2

Step-by-step explanation:

200-134.8=65.2

let the price of the senior citizen tickets be s while that if the child tickets be c

As such, if on the first day of ticket sales the school sold 2 senior citizen tickets and 11 child tickets for a total of $155. Then

2s + 11c = 155

where on the second day, the school took in $142 on the second day by selling 2 senior citizen tickets and 10 child tickets then

2s + 10c = 142

solving both simultaneously, equation 1 minus 2

11c - 10c = 155 - 142

c = 13

sinec 2s + 11c = 155

2s + 11(13) = 155

2s + 143 = 155

subtract 143 from both sides

2s = 155 - 143

2s = 12

divide both sides by 2

s = 6

The price of one senior citizen ticket is $6 and that of the child is $13.

\(3m - 5n + 6m - 8n \\ 3m + 6m - 5n - 8n \\ 9 m- 13n\)

Answer:

Step-by-step explanation:

Combine like terms. Like terms have same variables with same exponents

3m - 5n + 6m - 8n = 3m + 6m - 5n - 8n

                               = 9m - 13n