The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures

Answer:

B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500

.Step-by-step explanation:

answer on khan academy

Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.

Given :

1) With Replacement --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex]          ---- (1)

where the value of 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p and n in the equation (1).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]

2) Without Replacement  --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex]          ---- (2)

where the value 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p, n, and N in equation (2).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]

Simplify the above expression.

[tex]\rm \hat{p} = 0.1442[/tex]

So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].

For more information, refer to the link given below:

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Answer: 0.500001

Step-by-step explanation: Hope that helps!

Answer:

21.67 hours/ week

Step-by-step explanation:

Given

[tex]Hours = 65[/tex]

[tex]Weeks = 3[/tex]

Required

Determine the rate

The rate is calculated using:

[tex]Rate = \frac{Hours}{Weeks}[/tex]

Substitute values for hours and week

[tex]Rate = \frac{65}{3}[/tex]

[tex]Rate = 21.67[/tex]

This implies that the rate is 21.67 hours/ week

Answer:

$55+$9x≥$199

You must work for at least 16 hours to be able to buy the bicycle.

Step-by-step explanation:

Let x represent the number of hours you need to work to buy the bicycle.

You already have $55.

⇒$55+ −−−−−≥ −−−−−

You also earn $9 per hour.

Algebraically, this can be written as 9x.

⇒$55+$9x≥ −−−−−

You need to earn at least $199 to buy the bicycle.

⇒$55+$9x≥$199

The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.

Let's find out how many hours you need to work to buy the bicycle.

Subtracting $55 from both sides of the inequality:

⇒$55−$55+9x≥$199−$55

⇒$9x≥$144

Dividing both sides by $9:

⇒$9x$9$=$144$9

∴x≥16

Therefore, you need to work at least 16 hours to afford the bicycle.

Answer:

Step-by-step explanation:

NOT 5.

_____________________

Firstly note that the radius of the circle is 13 ( centre to D )

Thus the distance from B to the centre is 13

Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x =  = 5

The distance from the centre to C ( the radius ) is 13, thus

x + EC = 13, that is

5 + EC = 13 ( subtract 5 from both sides )

EC = 8

Answer:

The answer is 8

Step-by-step explanation:

Step-by-step explanation:

are this form 1 question??

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

So

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

Answer:

3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him

Answer:

Step-by-step explanation:

Factor the expression.

pr - r = r(p-1) = ½(-8) = -4

Answer:

-4

Step-by-step explanation:

I hope this helps!

Answer:

y = 9x - 34

Step-by-step explanation:

(3 , -7) ; slope (m) = 9

Slope intercept form:

y - y1 = m(x -x1)

y - [-7] = 9 (x - 3)

y + 7  = 9*x - 9*3

y + 7 = 9x - 27

    y = 9x - 27 - 7

    y = 9x - 34

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.

Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .

Given,

Two triangles with different side lengths.

Here,

The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.

Here,

Triangles are of same shape but the corresponding sides are not in same proportions.

∴ 8/5 = 10/6.25 ≠  12/7

Therefore the two triangles are not similar.

Know more about similar triangles,

https://brainly.com/question/29191745

#SPJ4

Answer:

x = 1.14

Step-by-step explanation:

3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]

6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]

6x + 4 = 14x - 3 [Combine like-terms]

-8x + 4 = -3 [Subtraction Property of Equality]

-8x = -7 [Subtraction PoE]

x = 1.14 [Division PoE]

Answer:

EHD=57°

BEING CORRESPONDING ANGLE

Answer:

57°

Step-by-step explanation:

It's a corresponding angle so EHD is the same as EGB

Answer: Harriet is correct

Step-by-step explanation: Harriet is correct because if you graph it, it will turn out to be a straight line. It uses the equation y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Hope this helps!

Answer:

The values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

[tex]y = m_{1}\cdot x + b_{1}[/tex] (1)

[tex]y = m_{2}\cdot x + b_{2}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Slope.

[tex]b_{1}[/tex], [tex]b_{2}[/tex] - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) [tex]m_{1} = m_{2}[/tex]

2) [tex]b_{1} \ne b_{2}[/tex]

Therefore, the values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Answer:

m=-3 and b=-3 on ed

Step-by-step explanation:

just did it

Answer:

5

Step-by-step explanation:

Answer:

Answer:5

Step-by-step explanation:

hope it helps.

Answer:

$4200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 35000 × 0.02 × 6 = 4200

I = $ 4,200.00

The simple interest accumulated

on a principal of $ 35,000.00

at a rate of 2% per year

for 6 years is $ 4,200.00.

Answer:

I’m thinking $4200

Step-by-step explanation:

Because 35k at 2% for 6 years will get you that

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Answer:

the factored form tells you times at which the object's height is zero.

Step-by-step explanation:

Hope that helps

Have a good day

Answer:

The polynomial -8x2 + 54x + 140 can be factored as (x + 2)(-8x + 70).

The factor (x + 2) represents the final price per hot dog after increasing it from the starting price of $2, where x is the number of $1 increases in price.

The factor (-8x + 70) represents the average number of hot dogs sold based on the price increase. For every $1 increase in price, the number of hot dogs sold declines by 8. So, if the price increases by x dollars, the number of hot dogs sold declines by 8x. Since the number of hot dogs sold without the price increase is 70, the number of hot dogs after a price increase is -8x + 70.

Step-by-step explanation:

PLATO

Answer:

-2a - 2b

Step-by-step explanation:

Question : (4a + b)-3(2a + b)

= 4a + b - 6a - 3b

= 4a - 6a + b - 3b

= -2a + (-2b)

= -2a -2b

If you need detail solution here ;

first + multiply both 4a and b

first -3 multiply both 2a and b and then -3×2a= -6a

-3×b = -3b

and it will be 4a + b -6a -3b,then collect like terms

4a - 6a + b -3b

= -2a +(-2b) in this part + tims - = -

= -2a - 2b

If it's not helpful ask me on comment I will try to answer

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THANK YOU

The answer is c              Explanation :

Answer:

answer c

Step-by-step explanation:

Answer: last graph

Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.

Graphs of function that are EVEN, are symmetric about y-axis.

We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.

Graph 1, 2, 3  ----  not symmetric about y-axis

Graph 4  -------  Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.

Answer:

6

Step-by-step explanation:

4(6) - 7y = -18

24 - 7y = -18

-7y= -42

y= 6

Answer: y=6

Step-by-step explanation:

4(6)-7y=-18

24-7y=-18 subtract 24 on both sides

-7y=-42 **then divide -7 on both sides**

and the answer is y=6

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️Find the slope of the given line:

Slope = ∆y/∆x = -(4/1) = -4

The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.

Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.

m = ¼.

Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)

Thus:

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)