there are 549 coins in a bottle
one third of the coins are £1 coins
164 of the coins are 50p coins
the rest of the coins are 20p coins
work out the value of the 549 coins in pounds (£)

Answer:

y = 11

Step-by-step explanation:

8 × 2 + 5²- y = 2(y + 1) + 6 ​

8 × 2 + 5²- y = 2y + 2 + 6 ​

8 × 2 + 25 - y = 2y + 2 + 6 ​

16 + 25 - y = 2y + 2 + 6

41 - y = 2y + 8

41 (- y + y) = (2y + y) + 8

41 = 3y + 8

41 - 8 = 3y (+ 8 - 8)

33 = 3y

33/3 = 3y/3

y = 11

what is question 10?

Answer:

Step-by-step explanation:

me too i dont know

Answer:

Step-by-step explanation:

Total surface area:

We are given:

Find the value of l:

Use Pythagorean to find the height h of the pyramid:

Find the volume:

Answer:

Not a function

Step-by-step explanation:

Since  x  =  1  produces  y = 3  and  y  = 4 , the relation is not a function.

( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )

The domain cannot be the same value.

Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3|

=-3

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

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

The median of the data set lies in 20 - 24 minutes, and the range is 24.

The median of the dataset is calculated by applying the following method:

Total frequency of the distribution is calculated as follows;

= 1 + 2 + 6 + 10 + 8

= 27

median = (27 + 1 )/2 = 28/2 = 14

Start counting the frequency and you will notice that the median lies in 20 - 24 minutes.

The range of the data is the difference between the highest and the smallest.

= 29 - 5

= 24 minutes

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The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

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The statement describes a set of interest in a study, which is the set of all elements being investigated or under consideration. It is not a sample, which refers to a subset of the population being studied.

The set of all elements of interest in a study is called the population. It refers to the entire group of individuals, objects, or measurements that are being studied and from which data can be collected. The population can be finite or infinite and can include people, animals, plants, materials, or any other object or concept of interest. In statistical analysis, researchers use samples of the population to make inferences or draw conclusions about the entire population. By selecting a representative sample, researchers can reduce the cost and time required for data collection and analysis while still obtaining valid and reliable results.

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The change in co-pays implemented by Donny's insurance company, where he pays $20 for a doctor visit and $15 for prescription drugs, can be profitable for the insurance company for several reasons.

Firstly, the introduction of co-pays allows the insurance company to shift a portion of the healthcare costs onto the policyholders. By requiring individuals like Donny to pay a fixed amount for each visit or prescription, the insurance company can reduce its own expenses and increase its profitability.

Secondly, the decrease in Donny's annual premium by $250 suggests that the insurance company has adjusted the premium rates to account for the additional revenue generated from the co-pays. This means that even though Donny may incur some out-of-pocket costs with the co-pays, the overall reduction in his premium indicates that the insurance company expects to collect more in co-pays than the decrease in premiums, resulting in a net gain for the company.

Additionally, the insurance company may negotiate discounted rates with healthcare providers and pharmaceutical companies due to the increased volume of customers using their services. This can further contribute to the insurance company's profitability.

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The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

Answer:

-2x2 y1/3

Step-by-step explanation:

To be 95% confident that the true proportion is calculated to within 2%, 62 voters must be questioned.

Given,

A pollster wishes to estimate the true proportion of US. voters who oppose capital punishment.

We have to find the smallest number of voters that should be surveyed in order to be 95% confident that the true proportion is estimated to within 2%

Here,

To obtain the sample size,

n = z² pq / ME²

Where,

P is the proportion of voters

M. E is the margin of error.

q is the proportion of non-voters

z is the corresponding z score

The z score for the 95% confidence interval is 1.96.

n = 1.96² pq / 0.05²

n = 1536.64 pq

If 0.2 is the proportion of voters, then 0.2 is the fraction of non-voters.

n = 1536.64 pq = 61.42

≈ 62 voters

Therefore,

62 voters can be surveyed in order to be 95% confident that the true proportion is estimated to within 2%

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Answer:

B) 29

Step-by-step explanation:

Plug in 4 for x.

3(4)^2 - 7(4) + 9

3(16) - 28 + 9

48 - 28 + 9

20 + 9

29.

Hope this helps.

Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.

Answer:

(2.4,1.8)

Step-by-step explanation:

the answer is in the image above

42 adult tickets and 421 children tickets were purchased for the field trip, based on the given information that the total cost of the tickets was $995 and the children tickets cost $11 while the adult tickets cost $13, and the number of children tickets purchased was one more than ten times the number of adults tickets purchased.

Let's use variables to represent the unknown quantities in the problem:

Let x be the number of adult tickets purchased

Then the number of children tickets purchased is 10x + 1 (since it is one more than ten times the number of adults tickets purchased)

Using these variables, we can set up an equation based on the total cost of the tickets:

13x + 11(10x + 1) = 995

Simplifying and solving for x, we get:

23x + 11 = 995

23x = 984

x = 42.7826087 (rounded to 9 decimal places)

Since we can't purchase a fraction of a ticket, we'll round x down to the nearest whole number, which means 42 adult tickets were purchased. Then the number of children tickets purchased is:

10x + 1 = 10(42) + 1 = 421

So, 42 adult tickets and 421 children tickets were purchased.

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Answer:

It is given that RSTU is a parallelogram, so RU¯¯¯¯¯∥ST¯¯¯¯¯ by the definition of parallelogram. Therefore, ∠1≅∠2 ​by the alternate interior angles theorem, and m∠1=m∠2 ​by the transitive property. It is also given that ∠1 and ∠3 are complementary, so m∠1+m∠3=90° by the definition of complementary angles. By substitution, m∠2+ m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.

The new man's age would be 525, however the standard deviation would remain the same.

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500  and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

     = E(x) + 25

     = 500 + 25

     = 525

Variable (y) = Variable (x + 25)

                  = Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

                                   = 100

Therefore, the new standard deviation is same as the old one.

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The probability of winning something on each of the two plays of the game is 2/3, since there are 6 possible outcomes and 4 of them result in a win.

The probability of winning something on each of the two plays of the game can be calculated by taking the number of outcomes that result in a win (4) divided by the total number of possible outcomes (6). Thus, the probability of winning something on each of the two plays of the game is 4/6, or 2/3. For each play of the game, there is a 1/6 chance of rolling a 6, a 1/6 chance of rolling a 5, a 1/6 chance of rolling a 4, and a 1/6 chance of rolling a 3. Thus, the total probability of winning something is 1/6 + 1/6 + 1/6 + 1/6 = 4/6 = 2/3.

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The median of the given set of numbers is 82.

Median is the middle element when the data set is arranged in an increasing or decreasing order.

Given is a stem and leaf plot.

We have to write each of the corresponding number in stem attached with each of the corresponding number in leaf plot.

So the numbers in the first row will be 71, 75, 77 and 78.

Numbers in the second row will be 80, 80, 81, 82, 84, 85, 86, 86, 87, 89.

Number in the third row will be 95.

Writing the numbers from the plot, we will get the values as,

71, 75, 77, 78, 80, 80, 81, 82, 84, 85, 86, 86, 87, 89, 95.

The numbers are already in the increasing order.

There are 15 number of data in the set.

Median is the middle element, that is 8th element, which is 82.

Hence the median of the data is 82.

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According to the given data we have the following:

running pace is 3.75 mph

going to run at least 1.5 miles

Therefore, to calculate the amount of hours will the person have to run we would make the following calculation:

amount of hours will the person have to run=1.5/3.75 mph

amount of hours will the person have to run=0.4

Therefore, the amount of hours the person will have to run will be 0.4 hours

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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a. The distance a baseball travels in the air after being hit is a continuous random variable. b. The number of free-throw attempts before the first shot is made is a discrete random variable.

a. The distance a baseball travels in the air after being hit is a continuous random variable. A continuous random variable can take on any value within a certain range, and in this case, the distance can theoretically take on any non-negative real value. The distance can vary continuously, such as 100.5 feet, 100.51 feet, or even 100.5123456 feet. Therefore, it is considered a continuous random variable.

b. The number of free-throw attempts before the first shot is made is a discrete random variable. A discrete random variable can only take on specific, separate values, usually whole numbers or a countable set of values. In this case, the number of attempts can only be an integer value, such as 0, 1, 2, and so on. You cannot have a fractional or non-integer number of attempts. Hence, the number of free-throw attempts before the first shot is made is a discrete random variable.

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If the price-elasticity of demand for chips is 0.75, then a 20 percent increase in price would result in a 15 percent decrease in the demand quantity.

As per the question statement, the price-elasticity of demand for chips is 0.75 and there is a 20 percent increase in price.

We are required to calculate the resulting decrease in the demand quantity by percent, based on the conditions mentioned in the statement above.

Here, given Price-Elasticity of Demand \((E_{d})\) = 0.75

Also given the percent increase in price = 20

Now, we know that,

\((E_{d})\) = [(Percentage change in quantity demanded)/(Percentage change in price]

Or, [0.75 = (x/20)]...[Assuming "Percentage change in quantity demanded" to be "x"]

Or, [x = (20 * 0.75)]

Or, [x = 15]

That is, If the price-elasticity of demand for chips is 0.75, then a 20 percent increase in price would result in a 15 percent decrease in the demand quantity.

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Answer:

64 cm²

Right corner rectangle:

Bottom rectangle:

Together:

Answer:

d.  64 cm²

Step-by-step explanation:

Separate the shape into two rectangles (see attached image).

Formula

Area of a rectangle = width × length

Rectangle 1

Area = 2 × 12

        = 24 cm²

Rectangle 2

Area = 5 × (10 - 2)

        = 5 × 8

        = 40 cm²

Total Area

Total area = Area of Rectangle 1 + Area of Rectangle 2

                  = 24 + 40

                  = 64 cm²

The temperature has decreased by 4 degrees Celsius.

We have a temperature change from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m.

We have to determine how much did the temperature decrease.

A temperature of x degrees below zero means that the temperature of an area is equal to = - x degrees i.e., T = 0 - x = - x.

According to question -

Initial Temperature T(i) = 0 - 3 = - 3 degrees

Final temperature T(f) = 0 - 7 = - 7 degrees

Change in temperature ΔT = T(f) - T(i) = -7 - (-3) = -7 + 3 = - 4

Hence, the temperature has decreased by 4 degrees Celsius.

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Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

Given:

The inequality is

\(-2x\geq 16\)

To find:

The correct symbol for the inequality x __ -8.

Solution:

We have,

\(-2x\geq 16\)

When we divide or multiply an inequality by a negative number, then we need to change the sign of inequality.

Divide the given inequality by -2.

\(\dfrac{-2x}{-2}\leq \dfrac{16}{-2}\)

\(x\leq -8\)

The correct symbol for the blank is ≤.

Therefore, the correct option is J.