Eden has a part-time job.
She is paid £7.20 per hour.
This week she worked for 1812 hours.
Work out Eden's total pay for this week
Type here to search​

It is important to know about the percentage first, the percent number is per 100. It can be determined by this formula

A% = A/100

where A is the value or the price

From the text we know that :

initial tax rate = 7.0%

final tax rate = 7.5%

item price = $200

By using percentages, we can know the tax price

Initial tax price

initial tax price = initial tax rate x item price

initial tax price = 7.0% x 200

initial tax price = 7/100 x 200

initial tax price = $14

Final tax price

final tax price = final tax rate x item price

final tax price = 7.5% x 200

final tax price = 7.5/100 x 200

final tax price = $15

The increase in sales tax = Final tax price - Initial tax price

The increase in sales tax  = $15 - $14

The increase in sales tax  = $1

Hence, the increase in the sales tax is $1.

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Answer:

I think the answer might be A. True

Step-by-step explanation:

...

Answer:

Statement A is true.

Step-by-step explanation:

If the equation of a function is a rational expression, then the function is considered rational. A rational expression is defined as a ratio of two polynomial expressions. In other words, the numerator and denominator of the rational expression are polynomial expressions. Therefore, a rational function is defined as the quotient of two polynomial functions, which is also known as a rational expression.

Answer:

yyyyyyyyyy

Step-by-step explanation:

yyyyyyyyyyyyyyy

The numerical length of GH = 20 units

FH is a line segment.

G is a point on the line segment.

Then G divides the line segment FH into two line segments FG and GH.

We are given the lengths of FH, FG and GH in terms of x.

That is,  FH=4x+8, FG=x and GH=5x

We need to find the numerical length of the line segment GH. We first need to find the x for this.

As G cuts the line segment FH into two parts, the length of the line segment FH is the sum of the lengths of the line segments FG and GH.

That is, FH = FG + GH

⇒ 4x+8 = x +5x

⇒ 4x+8 = 6x

⇒ 2x = 8

⇒ x = 4

So the numerical length of GH = 5x = 5 x 4 = 20 units

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The source of internal invalidity reflected in this example is experimental mortality, as the drop in sample size due to soldiers being reassigned to different stations across the U.S. can lead to a decrease in statistical power and increased risk of bias in the results.

This example reflects the source of internal invalidity known as c) experimental mortality. Experimental mortality refers to the loss of participants during an experiment, which may cause issues with the overall validity of the results. In this case, the reassignment of soldiers to different stations across the U.S. caused the sample size to drop, potentially affecting the outcome of the study on the effect of group size on group morale.

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The probability that the drill bit will fail before 10 hours of usage is approximately 0.8.


The Weibull distribution is given by the cumulative distribution function (CDF) as follows:

F(t) = 1 - e^(-(t/B)^a)

Where F(t) is the probability of failure before time t, a is the shape parameter, B is the scale parameter, and e is the base of the natural logarithm.

In this case, a = 2 and B = 50. We want to find the probability that the drill bit will fail before 10 hours, so we will use t = 10:

F(10) = 1 - e^(-(10/50)^2)

Step-by-step calculation:
1. Calculate (10/50)^2: (0.2)^2 = 0.04
2. Calculate -(0.04): -0.04
3. Calculate e^(-0.04): 0.9607894391523232
4. Calculate 1 - 0.9607894391523232: 0.03921056084767683


The probability that the drill bit will fail before 10 hours of usage is approximately 0.8 (option d). Note that the calculated probability (0.0392) is much lower than the options given. However, the closest option to the calculated value is 0.8.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Given

similar triangles = QRS and STU

Find

Missing statement .

Explanation

As we have given

similar triangles QRS and STU

by property of similar triangle we have ,

Slope of QS * Slope of US =

now , substituting the property of equality

Slope of QS * Slope of US =

So,

Slope of QS * Slope of US = -1

Final Answer

Missing statement =

Correct option is A.

Answer:

4.58 * 10 ^ -5

Step-by-step explanation:

0.0000458

Move the decimal 5 places to the right to get a number between 1 and less than 10

00004.58

That will give us an exponent of -5 ( the negative is because we moved it to the right)

4.58 * 10 ^ -5

━━━━━━━☆☆━━━━━━━

▹ Answer

4.58 * 10⁻⁵

▹ Step-by-Step Explanation

The decimal point is moved 5 times to the left, meaning the scientific notation will be negative. Therefore, the answer is 4.58 * 10⁻⁵.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

Answer:

9.8x10^5 really hope this helps

Answer:

980,000,000,000,000

Step-by-step explanation:

The term​ annuity is best described as​ a stream of equal installments made at equal time intervals​.

An annuity is a term used to define a series of payments of equal size at equal intervals. Equal time intervals such as months, quarters, or years, and uniform payments are the two characteristics that make a series of payments an annuity. Therefore, a series of payments can be an annuity however all series of payments are not annuities. If the series of payments is of different values or at different intervals, it is not considered to be an annuity. An annuity that provides for payments for the remainder of a person's lifetime is known as a life annuity.

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Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

Step-by-step explanation:

use this on your problem

Answer:  area is 36π cm

Step-by-step explanation:

Answer:

36pi

Step-by-step explanation:

area= pi×r²

r= radius (which is half the diameter)

12÷2= 6

pie×6² = 36pi

or =113.097

Answer:

18.5

Step-by-step explanation:

The length of fringe Sharon needs to purchase is: 16 feet

If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet

Recall:

Perimeter of a rectangular = 2(length + width)

Given the following:

The length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread

Perimeter = 2(3 + 5) = 16 feet

For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:

Length = 3 + 1.25 = 4.25 feet

Width = 5 feet

New Perimeter = 2(4.25 + 5) = 18.5 feet

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Answer:

3 pi 9

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Initial number of bales of hay = 1041 bales

After stacking more bales in the barn:

Total number of bales after stacking = 2,358 bales

Equation for scenario b

Initial bales + added bales = total number of bales after stacking

Let added bales = b

1,041 + b = 2,357

Added bales = Newly stacked bales:

1041 + b = 2,357

b = 2357 - 1041

b = 1,316

The stacked bales of hay stacked to join the initial is. 1,316 bales

Therefore, we can conclude that 4 does not divide \(a^2 + 2\) for any positive integer a.

That 4 does not divide  \(a^2 + 2\)  for any positive integer a, we can use proof by contradiction.

There exists a positive integer a such that 4 divides  \(a^2 + 2\) . This means that there exists another positive integer k such that:

\(a^2 + 2\)  = 4k

Rearranging this equation, we get:

\(a^2\) = 4k - 2

We can further simplify this expression by factoring out 2:

\(a^2\)  = 2(2k - 1)

Since 2k - 1 is an odd integer, it can be written as 2m + 1 for some integer m. Substituting this into the above equation, we get:

\(a^2\) = 2(2m + 1)

\(a^2\)  = 4m + 2

\(a^2\) = 2(2m + 1)

This means that a^2 is an even integer. However, we know that the square of an odd integer is always odd, and the square of an even integer is always even. Therefore, a must be an even integer.

Let a = 2b, where b is a positive integer. Substituting this into the equation \(a^2\) + 2 = 4k, we get:

\((2b)^2 + 2 = 4k4b^2 + 2 = 4k2b^2 + 1 = 2k\)

This equation shows that 2k is an odd integer, which implies that k is also odd. We can substitute this into the original equation \(a^2 + 2\) = 4k to get:

\((2b)^2 + 2 = 4k\\4b^2 + 2 = 4(2j + 1)\\2b^2 + 1 = 2j + 1\\b^2 = j\)

It shows that \(b^2\) is an odd integer, which implies that b is also odd. However, we earlier established that a = 2b is even.

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Correct Question:

Prove that if a is a positive integer, then 4 does not divide  \(a^2 + 2\) .

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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The number of distinct subset of the set is an illustration of combination

There are 34 distinct subset of the set that have three digit sums

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

So, we have:

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

\(n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1\)

Evaluate

\(n_1 = 4 * [3 + 3 + 1] + 1\)

\(n_1 = 29\)

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

i.e.

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

\(n_2 = 2 * [^2C_1] + 1\)

Evaluate

\(n_2 = 2 * 2 + 1\)

\(n_2 = 5\)

So, the total number of ways is:

\(n = n_1 +n_2\)

This gives

\(n = 29 +5\)

\(n = 34\)

Hence, there are 34 distinct subset of the see that have three digit sums

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There are 34 distinct subsets of the see that have three-digit sums.

When we know that S is a subset of T, we place the circle representing S inside the circle representing T.

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

\(\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29\)

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

\(\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5\)

The distinct subsets of the set are;

\(\rm n_1+n_2=29+5 =34\)

Hence, there are 34 distinct subsets of the see that have three-digit sums.

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Answer:

The equation of the parabola is (x-2)^2 = 48(y-5)

Step-by-step explanation:

Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.

Firstly, we need to find the distance between the director and the vertex

That would be ;

|-7-(5)| = 12

We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12

Thus, the equation needed would be;

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

From the question, h = 2

p = 12 ( calculated) and k = 5

So the equation would be;

(x-2)^2 = 4(12)(y-5)

= (x-2)^2 = 48(y-5)

In a rhombus, the diagonals intersect each other at right angles and bisect each other. Additionally, the diagonals of a rhombus are perpendicular bisectors of each other.

Given that the lengths of the diagonals are 24 units and 10 units, we can label half the length of one diagonal as a and half the length of the other diagonal as b.

Let's solve for a and b:

a = 24 / 2 = 12

b = 10 / 2 = 5

Now, we can use the formula for the area of a rhombus, which is given by:

Area = (a * b) / 2

Plugging in the values we found:

Area = (12 * 5) / 2

Area = 60 / 2

Area = 30

Therefore, the area of the rhombus is 30 square units.

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Answer:

No

Step-by-step explanation:

Gain 5= 5 to go

Lose 12= 7 to go

Gain 14= 7 to go

Lose 8=15 to go

The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.

The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.

To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.

The number of people on the escalator at time t can be calculated as follows:

people on the escalator at time t = 2 * t - 2 * floor(t / 20)

where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.

For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:

people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76

The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.

In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

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The number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

At rush hour, two people per second step onto the escalator, so in one second, 2 people get on the escalator.

The escalator takes 20 seconds to bring a person from the bottom to the top, so for every 20 seconds, 2 people get on the escalator and 2 people get off the escalator.

To find the number of people on the escalator during rush hour, we need to determine the number of people on the escalator after a certain amount of time, say t.

The number of people on the escalator at time t can be calculated as follows:

people on the escalator at time t = 2 * t - 2 * floor(t / 20)

where floor(t / 20) represents the number of complete cycles (20 seconds each) that have occurred.

For example, if t = 40 seconds, then floor(t / 20) = 2, so the number of people on the escalator would be:

people on the escalator at time 40 = 2 * 40 - 2 * 2 = 76

The number of people on the escalator will continue to increase as long as rush hour continues, so it is not possible to give a single answer to the question "how many people are on the escalator during rush hour?" without more information.

In general, the number of people on the escalator during rush hour will depend on how long rush hour lasts, so it is not possible to provide a single answer without knowing the length of rush hour.

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Answer: 30

Step-by-step explanation:

The probability that the fan will not be able to watch all 8 new episodes in one sitting can be determined by calculating the probability that the mean duration of the new episodes is greater than 45 minutes.

Using the Central Limit Theorem, we know that the distribution of the sample means will be approximately normal, regardless of the distribution of the individual episode durations, as long as the sample size is sufficiently large.

In this case, the mean episode duration is normally distributed with a mean of 47 minutes and a standard deviation of 6 minutes. Since we are interested in the mean duration of 8 new episodes, we can use the properties of the normal distribution to calculate the probability.

First, we need to find the standard deviation of the mean duration of the 8 episodes, also known as the standard error of the mean (SE). The SE can be calculated by dividing the standard deviation of the individual episodes by the square root of the sample size:

SE = σ / sqrt(n) = 6 / sqrt(8) ≈ 2.1213

Next, we can use the properties of the normal distribution to calculate the probability that the mean duration is greater than 45 minutes. We standardize the value of 45 minutes using the mean and SE:

Z = (45 - 47) / 2.1213 ≈ -0.9428

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the Z-score of -0.9428. This probability represents the likelihood that the mean duration of the 8 episodes is greater than 45 minutes.

Therefore, the probability that the fan will not be able to watch all 8 new episodes in one sitting is approximately the probability corresponding to the Z-score of -0.9428, rounded to four decimal places.

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Answer:

Step-by-step explanation:

Clone = original * scale factor

Clone size

Converted to inches

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

The milliliters of blood the volunteers donate is 470 * (32 - n)

The given parameters are

Total = 32

Unqualified = n

The number of qualified volunteers would be

Qualified = 32 - n

A volunteer donates 470 ml

So, we have

Total = 470 * (32 - n)

Hence, the milliliters of blood the volunteers donate is 470 * (32 - n)

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