PLEASE HELPPP!:( i’ll mark brainlest to whoever is right!

Answer:

a) The mean μ = 70.\(\overline 5\)

The variance = 127.3203

The standard deviation is 11.28363

b) i) The first quartile is 63.25

ii) The third quartile is 75.5

iii) The 90th percentile is 88.2

Step-by-step explanation:

a) The city temperatures ae presented as follows;

Fahrenheit; 68, 75, 87, 99, 72, 72, 65, 64, 61, 70, 77, 70, 67, 73, 83, 55, 58, 54

The data points in the sample, N = 18

The mean, μ = ∑\(x_i\)/N

Where;

\(x_i\) = The value of each data point

N = The sample size = 18

From Microsoft Excel, we have;

∑\(x_i\) = 1,270

∴ μ = 1,270/18 = 70.\(\overline 5\)

The mean μ is 70.\(\overline 5\)

The variance is given as follows;

\(\sigma^2 =\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

The variance = 127.3203

The standard deviation is given as follows;

\(\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N - 1}}\)

We get σ = 11.28363

The standard deviation, σ = 11.28363

b) i) The first quartile, Q₁, is the (n + 1)/4th term

∴ The first quartile is the (18 + 1)/4 = 19/4 = 4.75th term

54, 55, 58, 61, 64, 65, 67, 68, 70, 70, 72, 72, 73, 75, 77, 83, 87, 99

The first quartile = 61 + (64 - 61)×0.75 = 63.25

ii) The third quartile, Q₃, is the 3×(n + 1)/4th term

∴ The third quartile is the 3×(18 + 1)/4 = 57/4 = 14.25th term

Therefore;

Q₃ = 75 + (77 - 75)×0.25 = 75.5

The third quartile is 75.5

iii) The 90th percentile = 90/100 × (18 + 1)th term = 17.1th term

∴ The 90th percentile = 87 + (99 - 87)×0.1 = 88.2

Answer:

a.) positive

b.) negative

c.) negative

d.) same

e.) is

Step-by-step explanation:

Liam says (\(\frac{-5}{12}\))  is equivalent to ( \(\frac{5}{-12}\)) Explain if Liam is correct by completing the  statements below.

Click the arrows to choose an answer from each menu.

The fraction ( \(\frac{-5}{12}\))  can be described as the opposite of a positive number divided by a positive  number.

A positive number divided by a positive number results in a positive quotient, and its opposite is always negative.

The fraction can be described as a positive number divided by a negative number, which  divided  always results in a negative quotient.

The fractions have  same  value, so Liam  is correct.

Answer:

Give them Brainliest

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

Step-by-step explanation:

Refer the attached figure

\(\angle A =45+90=135^{\circ}\)

We are given A plane flying with a constant speed of 29 km/min passes over a ground radar station at an altitude of 15 km

\(\frac{dy}{dt}=29\)

x=15 km

We will use cosine law

\(z^2=x^2+y^2-2xy Cos A\\z^2=15^2+y^2-30y Cos A\\z^2=225+y^2-30y Cos A\)----1

Differentiating

\(2z\frac{dz}{dt}=2y\frac{dy}{dt}-30Cos(135^{\circ})\frac{dy}{dt}\)----2

\(\frac{dy}{dt}=29\\y=5 \times 29 =145\)

Substitute values in 1

\(z^2=225+(145)^2-30(145) Cos (135)\\z=\sqrt{225+(145)^2-30(145) Cos (135)}\)

z=155.96 km

Substitute values in 2

So, \(2(155.96)\frac{dz}{dt}=2(145)(29)-30Cos(135^{\circ})(29)\)

\(\frac{dz}{dt}=\frac{2(145)(29)-30Cos(135^{\circ})(29)}{2(155.96)}\)

\(\frac{dz}{dt}=28.93\)

Hence At 28.93 km/min is the distance from the plane to the radar station increasing 5 minutes later

The rate at which the distance from the plane to the radar station is increasing 5 minutes later is; 28.85 km/min

Since the train passes at an altitude of 15 km.

Let us say a = 15 km

Then it climbs at an angle of 45°

Plane is flying at a speed of 29 km/min

Thus, in t minutes, it will have flown a distance of 29t km

     Now, the distance of the plane from the radar station t minutes later is gotten by Pythagoras theorem as;

x(t) = √[(29t)² + (15²)]

x(t) = √(841t² + 225)

x'(t) = dx/dt = 841t/(√(841t² + 225))

After t = 5 minutes, we have;

x'(5) = (841 × 5)/(√((841 * 5²) + 225))

x'(t) = 4205/145.7738

x'(t) = 28.85 km/min

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Using triangle classifications, it is found that it would be classified as an isosceles triangle.

In this problem, it has two equal sides/angles, hence, it is classified as an isosceles triangle.

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Answer:

36

Step-by-step explanation:

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Answer:

the area of the rectangle is 18 sq inches.

It generally means the length and width of the rectangle should be the multiples of 18.

There are 3 possible answers.

lenght=18/width=1 or length=1/width=18

lenght=2/width=9 or length=9/width=2

lenght=6/width=3 or length=3/width=6

Step-by-step explanation:

6 by 3

9 by 2

18 by 1

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

x-1/5=x-1/2

2(x-1)=5(x-1)

2x-2=5x-5

-2=5x-5-2x

-2=3x-5

-2+5=3x

3=3x

1=x

x=1

Answer:

Hundredths place

Step-by-step explanation:

6 in 6.54 is ones place

5 in 6.54 is tenths place

4 in 6.54 is hundredths

plz mark me brainliest

Answer:

5 2/3

Step-by-step explanation:

Just keep simplifying 8/12 until you end up with 2/3

Find the GCF of both the numerator and denominator and you end up with 2/3

Just to make it clear 8/12 = 2/3

Answer:

50 square meters should be your answer

Step-by-step explanation:

The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)

if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]

let us break this down into two pieces:

4π = 12.5663706144

2[squared] = 4

Then when we multiply our answers:

12.5663706144 * 4 = 50.2654824576

since it says to round it to the nearest whole number, we can round this to 50

I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!

Please rate and heart if my answer helped you!!!!

Answer:

904.78

Step-by-step explanation:

4/3 (3.14)(r)^3 =4/3 × 3.14 × 6^3

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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The length of triangle AB is 22.5.

Triangle A = 7.5

Triangle B = 15

Whole = 22.5

As per the given question

Figure is made of 2 triangles.

Triangle A

Triangle B

9

7

As it is 2 triangles so

So A = 7.5

      B = 15

The whole is = 15 + 7.5

                             =22.5

Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.

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Answer:correct answers 1.69

4.59

Step-by-step explanation:

We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

2u^2 - 8u - 1 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 2, b = -8, and c = -1. Substituting these values, we get:

u = (8 ± sqrt(8^2 - 4(2)(-1))) / 2(2)

u = (8 ± sqrt(72)) / 4

u = 2 ± sqrt(18)

Therefore, either:

Answer:

224

Step-by-step explanation:

360.-136.

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

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Answer:

12$

Step-by-step explanation:

He borrowed 4$ for three months.

4 x 3 = 12.

Answer = 12.

Hope this helps!

(Brainliest would mean a lot to me, thanks!)

Answer:

C

Step-by-step explanation:

Lorraine is typing at 8 words per minute, while Bea is doing 9 per minute

Answer: B :  Lorraine’s unit rate is 1 more word per minute than Bea’s unit rate.

Step-by-step explanation:

I took the test, B) it said It was correct

Line e is parallel.

Line h is perpendicular.

Lines f and g are neither.

The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at

(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).

We have,

To graph the system of equations 3x + y = 12 and x − 4y = 4, we first need to rearrange them in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept:

3x + y = 12 => y = -3x + 12

x - 4y = 4 => y = (1/4)x - 1

Now we can see that the first equation has a slope of -3 and a y-intercept of 12, while the second equation has a slope of 1/4 and a y-intercept of -1.

Now,

The x-intercept is when y = 0.

So,

3x + y = 12

3x = 12

x = 4

And,

x - 4y = 4

x = 4

Thus,

The correct graph of the system of equations 3x + y = 12 and x - 4y = 4 is:

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at

(0, -1). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 12).

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Answer:

0,027

Step-by-step explanation:

Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one. One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice.

Answer:

11/36

Step-by-step explanation:

There are 36 possible outcomes from rolling 2 dice because the first die has 6 possible outcomes and so does the second.

If the first dice is a 2, the second die can be from 1 to 6. So, there are 6 ways that one dice can show a 2. Since it can happen to both die, you double it to be 12.

But, we have counted the roll of 2,2 twice. So we minus 1 possibility.

Thus, there are 11 ways to roll at least one 2 and 36 possibilities.

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

x = 24

Step-by-step explanation:

x + 11 = 35

x = 35 - 11

x = 24

x+11=35

Subtract 11 on both sides.

Subtract 11 from 35 to get 24.

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

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Answer:

you look at them from an angle

Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3