Eden has a part-time job
She is paid £7.20 per hour
This week she worked for 18½ hours
Work out Eden's total pay for this week

Answer:

$180

Step-by-step explanation:

$600/$100 = 6

$600 es 6 veces $100.

Por vender $600 gana 6 veces mas que por vender $100.

6 * $30 = $180

Respuesta: $180

Answer:

81.85.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean height for men is 70 inches with a standard deviation of 2 inches.

This means that [tex]\mu = 70, \sigma = 2[/tex]

What percentage of men are between 68 and 74 inches tall?

The proportion is the p-value of Z when X = 74 subtracted by the p-value of Z when X = 68.

X = 74

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{74 - 70}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 70}{2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.9772 - 0.1587 = 0.8185

0.8185*100% = 81.85%.

Thus the percentage is 81.85%, and the answer is 81.85.

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

Answer:

12 only

Step-by-step explanation:

The function is given on the graph.

What is f(0)?

This is the value of y when x = 0.

Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:

12 only

Answer:

z (max)  =  34500 $

x₁  =  2

x₂  = 3

Step-by-step explanation:

Hilltop College  

3 hours per week  preparing lessons and grading papers

Serra College

4  hours per week  preparing lessons and grading papers

Total hours to spend per week preparing lessons  18

Let´s call  x₁  numbers of class at Hilltop College

and  x₂ numbers of class at Serra College then:

Objective function

z  =  6000*x₁  +  7500*x₂

Constraints:

1.-     x₁  +  x₂  ≤ 5        the total number of class

2.-    3*x₁  +  4*x₂  ≤  18

3. General constraints   x₁  ≥ 0       x₂    ≥  0   integers

After 6 iteration optimal solution is:  From on-line solver

z (max)  =  34500 $

x₁  =  2

x₂  = 3

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

Answer:

See below.

Step-by-step explanation:

Problem 3.

1. <3, <4

Given

2. <1, <2

Given

3. KG

Congruence of segments is reflexive.

4. HKG, LKG

ASA

Problem 4.

1. MR, OR

Given

2. PR, NR

Given

3. <2

Vertical angles are congruent.

4. MPR, ONR

SAS

Answer:

white

Step-by-step explanation:

if you cut the shape in half both ways it makes white take up a fourth.

Answer:

JK ≈ 12.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FI}{JM}[/tex] = [tex]\frac{FG}{JK}[/tex] , substitute values

[tex]\frac{59}{26}[/tex] = [tex]\frac{28}{JK}[/tex] ( cross- multiply )

59 JK = 728 ( divide both sides by 59 )

JK ≈ 12.3 ( to the nearest tenth )

Answer:

I think B

Step-by-step explanation:

1. [tex] \: {7}^{1} [/tex]

➺ [tex]\boxed{\: 7 }[/tex]

2. [tex] \: {4}^{0} [/tex]

➺ [tex]\boxed{ \: 1 }[/tex]

( ∵ any number to the power of 0 is 1. )

3. [tex] \: {6}^{ - 1} [/tex]

➺ [tex] \: \frac{1}{6} [/tex]

[tex]( \: ∵ {a}^{ - 1} = \frac{1}{a} )[/tex]

➺ [tex]\boxed{ \: 0.1667 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Last one.

Step-by-step explanation:

[tex]\sqrt{3}[/tex] is used in 30-60-90 triangles

[tex]\sqrt{2}[/tex] is used in 45-45-90 triangles

Base is x, leg is x[tex]\sqrt{3}[/tex], hypotenuse is 2x

Answer:

x = 20 ; y= 10√3

Step-by-step explanation:

30, 60 , 90 triangle ratio is

Side opposite to 30 is a

a = AC = 10

Side opposite to 60 is a[tex]\sqrt{3}[/tex]

AB = a[tex]\sqrt{3}[/tex] = 10√3

Side opposite to 90 is  2a

BC = 2a = 2* 10 = 20

9514 1404 393

Answer:

  B. 8 and 24

Step-by-step explanation:

There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.

The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.

The only answer choice that makes any sense is B: 8 and 24.

__

If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...

  3×8 and 1×8 = 24 and 8.

Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...

  x -1/3x = 16

  2/3x = 16

  x = 16(3/2) = 24

The numbers are 24 and 24/3 = 8.

__

Additional comment

You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.

9514 1404 393

Answer:

  (1, 155)

Step-by-step explanation:

Let f(x) = 17n(x) +2, where n(1) = 9.

Then we have ...

  f(1) = 17n(1) +2 = 17×9 +2 = 153 +2

  f(1) = 155

A point on the new graph would be (1, 155).

2,247

Step-by-step explanation:

you take 1712 and divide that by 16 which is 107 and then you multiply 107 by 21 thus you get 2,247.

Answer: $235.4

Step-by-step explanation:

Given

Price list on slacks is $22

Price list on jumpers is $37

Store ordered 30 pairs of slacks and 40 Jumpers

Total price becomes

[tex]\Rightarrow 22\times 30+37\times 40\\\Rightarrow \$2140[/tex]

for a discount of 11%

Trade discount is [tex]2140\times 11\%[/tex]

[tex]\Rightarrow 2140\times 0.11\\\Rightarrow \$235.4[/tex]

Answer:

C.

y = -3x - 1

y = 3x + 2

Step-by-step explanation:

Find the slope (m) and y-intercept (b) of each table to write an equation for each.

✔️First table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, -1) and (1, -4),

Slope (m) = (-4 - (-1))/(1 - 0) = -3/1

m = -3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = -1 when x = 0. Therefore,

y-intercept (b) = -1

To write an equation for table 1, substitute m = -3 and b = -1 into y = mx + b

Equation for table 1:

y = -3x - 1

✔️ Second table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, 2) and (1, 5),

Slope (m) = (5 - 2)/(1 - 0) = 3/1

m = 3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = 2 when x = 0. Therefore,

y-intercept (b) = 2

To write an equation for table 1, substitute m = 3 and b = 2 into y = mx + b

Equation for table 1:

y = 3x + 2

[tex]\longrightarrow{\blue{ -2753}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 + 2 - 35 \times 62 + 88 - 1 \times 675[/tex]

[tex] = 2 + 2 - 2170 + 88 - 675[/tex]

[tex] = 92 - 2170 - 675[/tex]

[tex] = 92 - 2845[/tex]

[tex] = - 2753[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

13.33

Step-by-step explanation:

Because it's only payment one we can easily figure out the interest portion

we first need the effective rate

.08/12= .006666667

We the just mulitply this by loan amount

2000*.006666667= 13.33

Step-by-step explanation:

its your answer

I hope it's help you

Answer:

The future value is: RS 132867.075

Step-by-step explanation:

Given

[tex]PV = 75000[/tex] --- present value

[tex]r = 10\%[/tex] --- annual rate

[tex]n = 6[/tex] --- number of times compounded (3 years/ 6 months)

Required

The future value

This is calculated as:

[tex]FV =PV * (1 + r)^n[/tex]

[tex]FV = 75000 * (1 + 10\%)^6[/tex]

[tex]FV = 75000 * (1 + 0.10)^6[/tex]

[tex]FV = 75000 * (1.10)^6[/tex]

[tex]FV = 132867.075[/tex]

Hence, the future value is: RS 132867.075

Answer: Bottom left corner

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

Explanation:

There are only four possible outcomes here

Based on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.

The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.

The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Subtracting 18,  we have the equation ...

  x^2 +8x -48 = 0

  (x +12)(x -4) = 0 . . . . . factored form

The values of x that make these factors zero are the solutions:

  x = -12, x = 4

The greatest solution is x=4.

Answer:

Greatest solution of x = 4

Step-by-step explanation:

x² + 8x - 30 = 18

subtract 18 from both sides

x² + 8 x - 30 - 18 = 18 - 18

x ² + 8 x - 48 = 0

split 8x in middle form

x² + ( 12 x - 4 x ) - 48 = 0

factor out x from the first pair

x ( x + 12 ) - ( 4 x- 48 ) = 0

factor out 4 from the second pair

x ( x + 12) - 4 ( x + 12 ) = 0

x + 12 is common factor

x ( x + 12) - 4 ( x + 12 ) = 0

Group common factor

(x - 4) ( x + 12 ) = 0

When the product of factors equal 0, at least one factor is 0.

x - 4 = 0

x = 4

similarly,

x + 12 = 0

x = - 12

Greatest solution of x = 4

A. Definition = (the third meaning.)

B. Postulate (axiom) = (the first meaning.)

C. Common notion = (the last meaning.)

D. Theorem = (The second meaning.)

E. Corollary = (the fourth meaning.)

Proof is evidence or an argument that helps to establish a fact or the truth of a statement. For example, most people won't accept new concepts or ideas without proof of its existence.

Answer:

3b-1 = b-3

2b = 4

b = 2

Step-by-step explanation:

Answer:

a. Females are more likely to enroll in Online Only courses than males.

Step-by-step explanation:

Given

The collected data

Required

Which of the options is true

(a): Female more likely in online only courses

In online courses, we have:

[tex]Female = 7000[/tex]

[tex]Male = 2000[/tex]

By comparison:

[tex]7000 > 2000[/tex]

Hence, this statement is true

Other options are false

Answer:

Step-by-step explanation:

y=3√x

domain : all real values≥0

Answer:

a) The standard error is s = 0.071.

b) Yes, as both sample sizes are above 30.

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Samples of size 86 drawn from population A with proportion 0.43

This means that [tex]n = 86, p = 0.43[/tex]. So:

[tex]s_A = \sqrt{\frac{0.43*0.57}{86}} = 0.0534[/tex]

Samples of size 60 drawn from population B with proportion 0.15:

This means that [tex]n = 60, p = 0.15[/tex]. So:

[tex]s_B = \sqrt{\frac{0.15*0.85}{60}} = 0.0461[/tex]

(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=

This is:

[tex]s = \sqrt{s_A^2 + s_B^2}[/tex]

[tex]s = \sqrt{(0.0534)^2 + (0.0461)^2}[/tex]

[tex]s = 0.071[/tex]

The standard error is s = 0.071.

(b) Are the sample sizes large enough for the Central Limit Theorem. Yes or No?

Yes, as both sample sizes are above 30.

Answer:

n (2n-7) (2n+7)

Step-by-step explanation:

Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.