Igor recently immigrated to the UK. He was an experienced surgeon in his country but had to re-do his medical training in order to work in the UK.

a) Which point on the graph represents Igor's data?

b) The managing director of this hospital concludes that the salary of a surgeon is linked to their age. Give one reason why the scatter graph might support this conclusion.

(I know that the answer is that it correlates positively but you need this for the next question to make sense.)

c) How could we make this conclusion more reliable?

Answer:

2/5

Step-by-step explanation:

Defining x the weight of each quarter grades (4x for the 4 quarter grades), then the weight of the mid-term exam grade is 2x, and the weight of the final exam is 4x. The addition of all grades is 4x + 2x + 4x = 10x (this represents the combination of grades that makes the final course grade).

So, the final exam grade represents 4x/10x = 2/5 of the final course grade.

Answer:

2/5

Step-by-step explanation:

just did the test

Radius of the hemisphere and the cone base:  R = 2 in

Height of the cone:   H = 6 - 2 = 4 in

π ≈ 3,14

Ice inside cone:

                           [tex]V_1=\frac13\pi R^2\cdot H=\frac13\pi\cdot2^2\cdot 4=\frac{16}3\pi[/tex]

Ice outside cone:

                            [tex]V_2=\frac12\cdot\frac43\pi R^3=\frac23\pi\cdot2^3=\frac{16}3\pi[/tex]

Total of ice:

[tex]V=V_1+V_2=\frac{16}3\pi+\frac{16}3\pi=\frac{32}3\pi\approx\frac{32}3\cdot3,14=33,49(3)\approx33,5[/tex]

There are 33,5 cubic inches of ice in the cone.

Answer:

17×1= 17, and 8×1= 8

17 and 8 is ur answer

i hope its right...

Step-by-step explanation:

1 7/8 into an improper fraction is 15/8

You can say that

3      5

---- x ----

2      4

Answer:

15

Step-by-step explanation:

Since a square has 4 sides, that means that each side is equal to the other three sides because it is a square. If so, we do 60/4 to get is 15. To check the answer 15x4 is equal to 60.

Answer:

each side will be 15

Step-by-step explanation:

because if its a square and all the sides are the same lengh and one of the sides are 15 then all of the other sides will also be 15,so that will equal 60.

Answer:

I'm not sure which one 25% i put the wrong number in

If you sleep 6 hours out of 24 hours, you sleep for 25% of the time.

To find the percentage of time spent sleeping, one must divide the number of hours slept by the total number of hours in a day and then multiply by 100. In this case, a person sleeps for 6 hours in a 24-hour day. The calculation is as follows:

Percentage of time spent sleeping = (Number of hours slept / Total number of hours in a day) × 100%

Percentage of time spent sleeping = (6 hours / 24 hours) × 100%

Percentage of time spent sleeping = 0.25  × 100%

Percentage of time spent sleeping = 25%

Therefore, sleeping for 6 hours in a 24-hour period means a person spends 25% of their time sleeping.

Answer:

Variance = 78.5

Standard Deviation = 8.86

Step-by-step explanation:

Given

Mean = 81

Required

Find the variance and standard deviation of the given set of data.

Provided that we already know the mean; to calculate the variance, follow the steps below.

1. Subtract the mean from each data.

76 - 81 = -5

87 - 81 = 6

65 - 81 = -16

88 - 81 = 7

67 - 81 = -14

84 - 81 = 3

77 - 81 = -4

82 - 81 = 1

91 - 81 = 10

85 - 81 = 4

90 - 81 = 9

2. Square these results

-5² = 25

6² = 36

-16² = 256

7² = 49

-14² = 196

3² = 9

-4² = 16

1² = 1

10² = 100

4² = 16

9² = 81

3. Sum these results

Sum = 25+36+256+49+196+9+16+1+100+16+81

Sum = 785

4. Calculate variance by dividing the sum by n - 1 where n = 11

So, n - 1 = 11 - 1 = 10

Variance = 785/10

Variance = 78.50

5. Calculate standard deviation by finding the square root of variance

S.D = √78.50

S.D = 8.86 (Approximated)

Answer:

71.36 and 8.45

Step-by-step explanation:

The expression (x+1)(x+3)(x+5) can be expanded to the form ax^3+bx^2+cx+d with a, b, and c as positive integers and d as negative by first multiplying (x+1) and (x+3) to get x^2+4x+3, which is then multiplied by (x+5) to obtain x^3+9x^2+23x+15.

To show that

(x+1)(x+3)(x+5)

can be written in the form

ax^3+bx^2+cx+d  where a,b and c are all positive integers, and d is a negative integer, perform multiplication for the given factors as follows:

Firstly, multiply (x+1) and (x+3) which yields x^2+4x+3.

Then, multiply this result by (x+5) which gives the final form: x^3+9x^2+23x+15.

So, a=1, b=9, c=23, and d=15 proving the original expression can be written in the stated form.

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The future value of $82,100 invested at a 4.3% annual interest rate compounded continuously for 2 years using the formula V = Pe^{rt}, will be approximately $90,137.30.

Your question involves the calculation of the future value of an investment using the formula for continuous compound interest, in this case $82,100 invested at an annual rate of 4.3%, over 2 years. This scenario relies on the mathematical concept of compound interest, which means the interest earned on the initial investment is added to the principal, and this combined amount earns interest as well.

Using the formula V = Pe^{rt}. where:
P = principal amount (initial investment) = $82,100,
r = annual nominal interest rate (decimal) = 4.3/100 = .043,
t = time the money is invested for = 2 years,
e = Euler's number (approx. 2.71828).

The calculation then becomes: V = $82,100 * e^(0.043 * 2) = $82,100 * e^(0.086). Using a calculator to do the exponentiation and the multiplication, the balance in the account after 2 years would approximately be $90,137.30.

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Use the law of cosines:

Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)

Distance = 9.8 yards.

The answer is A.

The correct answer is A. 9.8 yds is the distance between two receivers.

The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:

[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]

We want to find d, which corresponds to c in our scenario. Plugging in the values we have:

[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]

Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:

[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]

Now we can solve for d:

[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]

Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.

Therefore, the two receivers are approximately 9.8 yards apart.

Answer:

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

Step-by-step explanation:

Quadratic Equation Given:

[tex]x^2+2x-16=0[/tex]

[tex]x^2 + 2x=16[/tex]

[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]

[tex]x^2 + 2x+1=16+1[/tex]

[tex](x+1)^2=17\\[/tex]

[tex]x+1=\pm \sqrt{17} \\[/tex]

[tex]x=-1 \pm \sqrt{17} \\[/tex]

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

Answer:0.44

Step-by-step explanation:

The probability that a vehicle is white, given that the vehicle is a van is 0.4

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The probability that a vehicle is white=0.25

The probability that it is a van=0.09

The probability that it is a white van=0.04

Now,

To find the probability that a vehicle is white, given that the vehicle is a van, we can use the conditional probability formula, which states that:

P(white | van) = P(white and van) / P(van)

P(white) = 0.25

P(van) = 0.09

P(white and van) = 0.04

Using the multiplication rule of probability, we can write:

P(white and van) = P(white) * P(van | white)

where P(van | white) is the probability of being a van given that it is white. Solving for P(van | white), we get:

P(van | white) = P(white and van) / P(white)

P(van | white) = 0.04 / 0.25

P(van | white) = 0.16

Plugging this into the conditional probability formula, we get:

P(white | van) = (0.25 * 0.16) / 0.09

P(white | van) = 0.04 / 0.09

P(white | van) = 0.4444

Therefore, by probability the answer will be 0.4

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Answer:

  A) 21.02°

  B) 26.74°

  C) 22.79°

  D) DNE

Step-by-step explanation:

We can solve the equation for the angle:

  D = 672·sin(2θ)

  D/672 = sin(2θ)

  arcsin(D/672) = 2θ

  θ = arcsin(D/672)/2

A) For D = 450, θ = arcsin(450/672)/2 = 21.0198° ≈ 21.02°

B) For D = 540, θ = arcsin(540/672)/2 = 26.7363° ≈ 26.74°

C) For D = 480, θ = arcsin(480/672)/2 = 22.7923° ≈ 22.79°

D) For D = 720, θ = arcsin(720/672)/2 = DNE

Answer:

y decreases by half everytime

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is not properly structured and the equation is also incorrect. Here is the correct question.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= -4t²+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. When did she reach her maximum.

Give the equation h= -4t²+ 2t that models my friend jump where h is her jumps height in feet t seconds, At maximum height, her velocity will be zero i.e

Vmax = 0m/s

Velocity is the rate of change in distance of a body i.e V = dh/dt

Given  h= -4t²+ 2t

V = dh/dt = -8t+2

Since v = 0m/s

0 = -8t+2

-8t = -2

t = -2/-8

t = 0.25 secs

She reaches her maximum height after 0.25 seconds

Answer:

He has 29 crayons left

Step-by-step explanation:

56-27=29

All you have to do is subtract since fewer means less and to find less you need to subtract

Answer:

R

Step-by-step explanation:

A rectangle is a parrellagram. Also, got right on edg.

Answer:

R

Step-by-step explanation:

Answer:

15.42477796

Step-by-step explanation:

1/2π x 6 + 6

- sorry if its wrong

Answer:

3pi

Step-by-step explanation:

refer to the picture for steps.

Answer:

the balance after 5 years is: 26540.744

Step-by-step explanation:

Given the information:

We have the compound interest function ta model the situation is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

<=> A = [tex]20000(1+\frac{0.05}{4} )^{4*5}[/tex]

<=> A = $26540.744

Hence, the balance after 5 years is: $26540.744

Answer:

$25,640.74

Step-by-step explanation:

The total compound interest is $5,640.74.

The final balance is $25,640.74.

with zero additional deposits

hope this helps:)

Answer:

A

Step-by-step explanation:

Answer:

16 feet

Step-by-step explanation:

Answer:

D. 16 Feet

Step-by-step explanation:

1. t= 72

u= 54

2. m=76

n=76

3. ef= I forgot how to solve I'm sorry

f= 134

4. p=60

q=60

r=60 (it is an equilateral triangle)

Answer:

1.

u = 54

t = 72

2.

both equal 76

3.

i might be wrong but EF might be 23

f = 134

4.

all three are 60, as it is a equilateral

sorry if that sounds if i copied the previous answer

Answer:

150%  change

Step-by-step explanation:

Formula for Percent change =  C =[ (new - old)/ old ]* 100%

C =  [ (25 in. - 10 in.) / 10 in. ] = [15/10 ] * 100% = 150 %

Answer:

0.5

Step-by-step explanation:

hypotenuse/adjacent=r

7/14=0.5

Answer:

B

Step-by-step explanation:

sorry if it is wrong but I think it is right

Answer:

Step-by-step explanation:

Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line.

Choose each angle to complete the linear pairs.

∠AMY and ∠AMX

∠BMY and

✔ ∠AMY

∠BMX and

✔ ∠BMY

∠AMX and

✔ ∠BMX

It is this i got it right on the lesson I am 100% sure thanks

Answer: 12

Step-by-step explanation:

12 times 12 is 144 so 12.in each row

Helen will use 12 glass tiles in one row of her plate, as the square plate has a total area of 144 square centimeters and each tile measures one square centimeter.

The student's question involves calculating the number of glass tiles Helen would use in one row of a square plate, given that she has 144 square centimeters of glass tiles and each tile measures one square centimeter. To determine the number of tiles in one row, we need to remember that the area of a square is equal to the side length squared. Since the total area is 144 square centimeters, we take the square root of 144 to find the length of one side, which is 12 centimeters. Therefore, Helen will use 12 glass tiles in one row of her plate, as there would be 12 tiles lengthwise and 12 tiles widthwise to make up the total area of 144 square centimeters.

Answer:

35%

Step-by-step explanation:

The percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 222.75 - 165 = 57.75, thus

% change = [tex]\frac{57.75}{165}[/tex] × 100% = 0.35 × 100% = 35%

The percent change in value is 35%, and it is a percentage increase.

To calculate the percent change in value, we use the formula: ((new value - original value) / original value) * 100. In this case, the new value is $222.75 and the original value is $165. Plugging in these values, we get ((222.75 - 165) / 165) * 100 = 35%. Therefore, the percent change in value is 35%. Since the value has increased, it is a percentage increase.

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The probable question may be:

If the original amount is $165, and it has increased to $222.75, what is the percent change in the value, and is it a percentage increase or decrease?

Answer:

C

Source:

Trust me

Answer:

(5x + 1) • (5x - 1)

Step-by-step explanation:

Step 1:

Equation at the end of step 1:

5^2x^2 - 1

Step 2:

Trying to factor as a Difference of Squares :

Factoring: 25x^2-1

Theory :

A difference of two perfect squares,

A difference of two perfect squares, A^2 - B^2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B)

= A^2 - AB + BA - B^2

= A^2 - AB + AB - B^2

= A^2 - B^2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 1 is the square of 1

Check : x^2 is the square of x^1

Factorization is :

(5x + 1) • (5x - 1)

Final result :

(5x + 1) • (5x - 1)

Answer:

Step-by-step explanation:

(5x-1) (5x+1)

Answer:

The area I believe.

Step-by-step explanation:

The Length of a two-dimensional figure can be any side.

length is the measure of some distance from one end to another end.

The side is a distance between two vertexes joined with another part of the figure.

We can measure that distance which means it could be a length.

Thus, The Length of a two-dimensional figure can be any side.

Learn more about length;

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Answer:

2 Pieces

Mostly depends how much slices are there

Step-by-step explanation:

Every element is called half the whole by all equal sections. Similarly, the half fraction is defined as the whole half component of both of the two equivalent sections of the rectangle.

Hope this helps