jack spends 15 of his pocket money on sweets and 35% on magazines. he saves the rest.Work out how much he spends each week

Answers

Answer 1

Answer: Jack spends 15% on sweets each week and 35% on magazines. His total spendings(15%+35%=50%)equals 50%.Savings is 100% - 50%= 50%.So, if jack gets $100 each week, he spends $15 on sweets, $35 on magazines, and $50 goes towards savings. Hope this helps!

Answer 2

Answer:

Final answer:

Jack spends $50 each week.

Explanation:

To calculate how much Jack spends each week, we need to find the amount he spends on sweets and magazines and subtract it from his pocket money. First, we calculate the amount Jack spends on magazines. Let's assume his pocket money is $100:

Amount spent on sweets = 15% of $100 = $15
Amount spent on magazines = 35% of $100 = $35

To find the amount Jack saves, we subtract the amount spent on sweets and magazines from his pocket money:

Total spent on sweets and magazines = $15 + $35 = $50

Amount saved each week = Pocket money - Total spent on sweets and magazines = $100 - $50 = $50

Therefore, Jack saves $50 each week.

Learn more about Jack's weekly spending here:

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Find the center of this circle by completing the square. x^2+y^2-6x+8y+10=0
Show work

Answers

Answer:

Center: (3, - 4)

Step-by-step explanation:

We can start to solve this problem by converting this equation into standard form. In other words, by completing the square --- (1)

Subtract " 10 " from either side of the equation x² + y² - 6x + 8y + 10 = 0

x² + y² - 6x + 8y = - 10

Step 1: Complete the square for the expression " x² - 6x "

Using the quadratic equation ax² + bx + c we know that a = 1, b = - 6, c = 0. Assume that d = b / 2a. We have...

d = - 6 / 2(1) = - 6 / 2 = - 3

Now let's assume that e = c - (b²) / 4a...

e = 0 - (-6)² / 4(1) = 0 - 36 / 4 = 0 - 9 = 9 (Substitute values d and e)

(x - 3)² - 9

Step 2: Respectively we can complete the square for the remaining expression " y² + 8y "

Here a = 1, b = 8, c = 0

d = 8 / 2(1) = 8 / 2 = 4

e = 0 - (8)² / 4(1) = 0 - 64 / 4 = 0 - 16 = - 16 (Substitute values)

(y + 4)² - 16

This leaves us with the expression " (x - 3)² - 9 + (y + 4)² - 16 = - 10. " If we simplify this a bit further it leaves us with the following circle equation. Using this we can identify the center of the circle as well --- (2)

$\mathrm{Standard}\:\mathrm{Circle}\:\mathrm{Equation} : (x - 3)^2 + (y +4)^2 = 15,\n\mathrm{General}\:\mathrm{Form} : (x - h)^2 + (y +k)^2 = r^2,\n\mathrm{Properties} : \mathrm{Center} = (3, - 4), \mathrm{Radius} = √(15)$

As you can see our center here is (3, - 4)

Which figures demonstrate a single reflection?

Select each correct answer.

Answers

Answer:

Please see the attached image below, to find more information about the graph

The figures that are obtained by a single reflection are shown in the image inside a red rectangle.

The axis of reflection is shown with a black line.

- The figure from the left shows horizontal reflection

- The figure from the right shows vertical reflection

Help help please I dont know how to do this

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

78 + 124 + 75 = 277

360 - 277 = 83

An attendant at a car wash is paid according to the number of cars that pass through. Suppose that following payments are made with the following probabilities: Payment Probability $7 0.18 $9 0.08 $11 0.09 $13 0.16 $15 0.08 $17 0.41 Find the standard deviation of the attendant's earnings.

Answers

Answer:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= √(14.9516)= 3.867$

Step-by-step explanation:

For this case we have the following dataset given:

Payment $7 $9 $11 $13 $15 $17

Probability 0.18 0.08 0.09 0.16 0.08 0.41

For this case we can calculate the mean with this formula:

$E(X) = \sum_(i=1)^n X_i P(X_i)$

And replacing we got:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= √(14.9516)= 3.867$

Please solve needed asap

Answers

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

A school has 5000 students. There are 1500 freshman, 1500 sophomores, 1000 juniors, and 1000 seniors. At 8:00 AM, all students are in class; there are 200 classes that each have 25 students. The administration wants to give a survey asking the students about their favorite classes. They wish to poll 100 students. The entire student body is assigned a number, and then a random number generator is used to select 100 of those numbers at random. The students matching those numbers are given the survey. What sampling method was used?

Answers

The random sampling method is used.

What is random sampling?

Random sampling is a statistical method of selecting a representative sample of individuals from a larger population in a way that ensures every member of the population has an equal chance of being chosen. In other words, each individual in the population has an equal probability of being selected for the sample, and the selection process is not biased towards any particular subgroup or characteristic of the population.

The sampling method used in this scenario is simple random sampling. This is because the survey is being given to a randomly selected group of students from the entire student body, where every student has an equal chance of being selected. The administration used a random number generator to select 100 numbers at random, which is a common method for achieving simple random sampling. This method is useful because it helps to eliminate bias in the selection process and ensures that the sample is representative of the entire population.

Hence, the random sampling method is used.

To learn more about random sampling, visit:

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