The diagram shows a right-angled triangle.
to
5 cm
11 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.

The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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Answer:

There is no answer as there is no question.

Step-by-step explanation:

Answer:

I added the answer to your newest problem :D

Step-by-step explanation:

Hope it helped!

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

[tex] = - (( - \frac{x}{4} )) = - 5[/tex]

[tex] = \frac{x}{4} = - 5[/tex]

step (ii) :-

multiply '4' on both sides we get

[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Answer:

Given that the probability of winning is = 0.05

So the probability of losing is = 1 - 0.05 = 0.95.

We are told we have a 1 in 20 chance

Success: 0.05

Failure: 0.95

P(X=4)= 0.95*0.95*0.95*0.05

So the chance is 0.04286 or Option D

Step-by-step explanation:

it means

$75.99 = original price × 0.65 ((100-35)/100)

original price = $75.99/0.65 = $116.9076923... ≈

≈ $116.91

Answer:

x - 2y > 8 or x - 2y ≤ -6

Step-by-step explanation:

I used desmos

I hope this helps!!!

We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].

The formula for calculating Simpon's rule can be expressed as:

[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]

Given that:

[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],

We need to determine the fourth derivative; i.e.

[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]

[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]

[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]

[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]

The maximum value of the 4th derivative on the interval [0,1] is:

[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:

[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]

Now for the error to be less than 0.0001; we have:

[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]

[tex]\mathbf{52e < 0.0015n^4}[/tex]

[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]

[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]

n ≅ 17.52.

Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.

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The area covered by the napkin is 56 square centimeters

This is calculated using:

[tex]Area = \frac 12 ab\sin(C)[/tex]

Where:

a = 15, b = 5 and C = 30

So, we have:

[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]

Evaluate the product

Area = 56.25

Approximate

Area = 56

Hence, the area covered by the napkin is 56 square centimeters

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Answer: 56

Step-by-step explanation:

that’s c on 2023 edge

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

Answer:

its C

Step-by-step explanation:

I used something else for it for it

Answer:

5 : 1

Step-by-step explanation:

Unit conversion (between cm and mm) : 1 cm = 10 mm

⇒ 4 cm : 8 mm

⇒ 4 x 10 mm : 8 mm

⇒ 40 mm : 8 mm

⇒ 5 : 1

Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

Answer:

[tex]f(2) = 6[/tex]

Step-by-step explanation:

Substitute x=2 into f(x) x times 3

[tex]f(2) = 2 \times 3[/tex]

Calculate it

[tex]f(2) = 6[/tex]

Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.

He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.

This means that Marcus was paid as follows:

Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.

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Answer:

8.50

Step-by-step explanation:

it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50

Answer:

if you want to, I can explain it to you in more details

Answer:

x=-2   x=-1

Step-by-step explanation:

2x^2 + 6x = -4​

Add 4 to each side

2x^2 + 6x +4= -4+4

2x^2 + 6x +4=0

Factor out 2

2( x^2 +3x+2) = 0

Divide by 2

x^2 +3x +2 =0

( x+2)(x+1) =0 ​​

Using the zero product property

x+2 =0  x+1 =0

x=-2   x=-1

Answer:

x = -1, -2

Step-by-step explanation:

Bring the constant term to the left hand side :

Divide throughout by 2 :

Splitting the middle term :

Factors obtained :

Finding the zeros :

Answer:So I think the answer might be 88

Answer: 85 sqm

Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.

Answer:

what is tge problem its to blurry

The range tells us the possible y-values that occur in the function.

When describing the range, we can write an inequality using y.

When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.

To write the range of a quadratic function,

We're given:

Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.

The other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.

Therefore, all other y-values for the function will be less than 4.

Therefore, y ≤ 4.

y ≤ 4

Answer:

a. 20 points

Step-by-step explanation:

Range = Largest given value - Smallest given value.

Identifying the range of test 1

Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.

So range of test 1 = 90 - 50 = 40

Identifying the range of test 2

Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100

So range = 100 - 40 = 60

Identifying the differences between the ranges

Test 1 range : 40

Test 2 range : 60

Difference between the two : 60 - 40 = 20 points

Answer: 84

Step-by-step explanation:

Answer: m ≥ 1,379

Step-by-step explanation:

$26 monthly fee

$0.06/minute of use

$108.74 (least charged in a month)

m = number of minutes

26 + 0.06m ≥ 108.74

0.06m ≥ 108.74 - 26

0.06m ≥ 82.74

[tex]\frac{0.06m}{0.06}[/tex]  ≥  [tex]\frac{82.74}{0.06}[/tex]

m ≥ 1,379

Answer:

3(4x+6)=24

Step-by-step explanation:

The distribute property is when you distribute the what is inside of the parentheses.

Answer:

an example would be -5(x+9)=-5

now distribute -5 to x and -5 to9

= -5x-45= -5

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

Answer:

D' : (2, 1)

E' : (2, 3)

A' : (5, 3)

Step-by-step explanation:

Answer:

D' = (2, -3)

E' = (2, -1)

A' = (5, -3)

Step-by-step explanation:

Coordinates are :

The transformation rule is :

Point D'

Point E'

Point A'

Table 3 will fit snugly in the corner of the room.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

From the given data we will check the value of the diagonal by applying the Pythagorean theorem.

So by using the Pythagorean theorem:-

D ²  =    L²   +   W²

D²   =    ( 2.4 )²  +  ( 3.2 )²

D²   =    ( 5.76   +    10.24 )  =   16

D     =   √16   =  4  feet

Therefore table 3 will fit snugly in the corner of the room.

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Answer:

Table 3.

Step-by-step explanation:

Person above is correct, I'm takin the test!!

Answer:

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper