What is the value of the expression below?
-8+19+8
ОО
O 11
O 19
O 35

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The two numbers are 6 and 8.

The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.

x + y = 14 equation 1

x - y = 2 equation 2

Where:

x = larger number

y = smaller number

The simultaneous equations would be solved using the elimination method

Now, subtract  equation 2 from  equation 1

2y = 12

Divide both sides of the equation by 2

y = 12 / 2

y = 6

Substitute for y in  equation 2

x - 6 = 2

Add 6 to both sides of the  equation

x = 2 + 6

x = 8

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

first... You think and Conceptualize

A diameter divides a circle into equal halves

We're given the end points of the Diameter.

With this we can fine the Center of the circle.

The End Points are

(-6, -1) and ( 2, 3)

Half-way through the diameter gives the center of the circle

So We'd apply the Mid-Point formula to get the co-ordinate of the center.

X= x₁ + x₂/2 , Y = y₁ + y₂/2

X = -6 + 2/2, Y = -1 + 3/2

X= -2. Y = 1

The Midpoint is (-2, 1)

The Radius would be the distance between the center and a point on the circumference.

We already have 2 points of the circumference (Which are the endpoints of the diameter).

So we can pick any of them arbitrarily.

I'd go with (2,3)

So We'd apply the distance between Points formula to get the magnitude of the radius

(-2,1) (2,3)

D = √(x₁ - x₂)² + (y₁ - y₂)²

D = √(-2-2)² + (1-3)²

D=√(-4)² + (-2)²

D=√20.

Our Radius is √20.

Equation of Circle =

(x-h)² + (y-k)² = r²

Where h and k are the center of the circle(-2,1)

(x-(-2))² + ( y - 1 )²= (√20)²

(x + 2)² + ( y - 1)² = 20

Our Answer

(x + 2)² + (y - 1)² = 20.

This should be it.

Have a great day!

If the definitions of type I and type II regions is the same as in the link provided, then as a type I region the integration domain is the set

\(R_{\rm I} = \left\{(x,y) \mid 0 \le x \le 3 \text{ and } \sqrt{x+1} \le y \le 2\right\}\)

and as a type II region,

\(R_{\rm II} = \left\{(x,y) \mid 0 \le x \le y^2-1 \text{ and } 1 \le y \le 2\right\}\)

where we solve y = √(x + 1) for x to get x as a function of y.

A. The area of the type I region is

\(\displaystyle \iint_{R_{\rm I}} dA = \int_0^3 \int_{\sqrt{x+1}}^2 dy \, dx = \int_0^3 (2 - \sqrt{x+1}) \, dx = \boxed{\frac43}\)

B. The area of the type II region is of course also

\(\displaystyle \iint_{R_{\rm II}} dA = \int_1^2 \int_0^{y^2-1} dx \, dy = \int_1^2 (y^2-1) \, dy = \boxed{\frac43}\)

I've attached a plot of the type II region to give an idea of how it was determined. The black arrows indicate the domain of x as it varies from the line x = 0 (y-axis) to the curve y = √(x + 1).

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Answer:

B, C, E

Step-by-step explanation:

For a rectangle,

area = length × width

Let length = y.

Then the width is y - 5.

A = LW

750 = y(y - 5)

y(y - 5) = 750

y² - 5y - 750 = 0

All equations that can be put in the form above are correct.

A) y(y + 5) = 750

y² + 5y - 750 = 0

No

B) y² – 5y = 750

y² - 5y - 750 = 0

Yes

C) 750 – y(y – 5) = 0

750 - y² + 5y = 0

y²- 5y - 750 = 0

Yes

D) y(y – 5) + 750 = 0

y² - 5y + 750 = 0

No

E) (y + 25)(y – 30) = 0

y² + 25y - 30y - 750 = 0

y² - 5y - 750 = 0

Yes

Given:

The speed of car is 25 mph.

Explanation:

Determine the speed of car in foot per second.

So car travel 36.6675 feet in 1 second.

Determine the time in seconds.

Determine the distance travelled by car in 3 minutes 45 seconds.

So car travell 8250 feet.

Answer: 8250

34.75

35.15

You didnt give any choices so i just picked two random ones.

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Amir's average speed for the whole journey was 51 km/h.

We have,

Let the total distance between Town A and Town B be D.

According to the problem,

Amir traveled 1/5 of the journey in the first two hours, which means he covered a distance of D/5 in 2 hours.

The remaining distance is 4D/5.

He then traveled 1/3 of the remaining journey in the next one hour, which means he covered a distance.

= (1/3) × (4D/5)

= 4D/15 in the next hour.

Therefore, the remaining distance.

= 4D/5 - 4D/15

= 8D/15.

It took him another 2 hours to cover the remaining distance of 136 km, so we have:

8D/15 = 136 km

Solving for D.

D = (136 km)×(15/8)

= 255 km

Therefore,

The total distance between Town A and Town B is 255 km.

The total time Amir took for the journey is 2 + 1 + 2 = 5 hours.

His average speed for the whole journey.

= Total distance ÷ Total time

= 255 km ÷ 5 hours

= 51 km/h

Therefore,

Amir's average speed for the whole journey was 51 km/h.

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The likelihood that it will snow in Greenland while the glaciers are advancing is 0.7158.

Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.

By applying conditional probability's Bayes Theorem, we are able to answer this query.

P(A|B) = [P(B|A) × P(A)] / {(P(B|A) × P(A))+ (P(B|A') × P(A'))}   (i)

Imagine if Greenland receives snowfall once every 27 days.

Probability = P(A) = 1/23

P(A) = 0.043

The probability when it not snows = P(A)' = 1 - 0.043

P(A)' = 0.956

The probability when it will snow and glacier grows = P(B|A) = 28%

P(B|A) = 0.28

The probability when it doesn't snow and glacier grows = P(B|A)' = 5%

P(B|A)' = 0.05

Substitute the values obtained in equation (i)

(0.28 × 0.043) / [(0.28 × 0.043) + (0.05 × 0.956)]

= 0.01204 / 0.01682

= 0.7158

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The volumes of the hemisphere are (π/12)R³, 2π/3(R³) and π/3(R³)

From the question, we have the following parameters that can be used in our computation:

x' + y' = R²

Using the disk method

Start by calculating the area of a single disk is given by the quarter circle of radius R in the first quadrant.

The area of the single disk is:

Area = π(R/2)²

The volume of the hemisphere using the disk method is given by:

V = ∫(π(R/2)² dx from 0 to R

This gives

V = (π/4) * ∫R^2 dx from 0 to R

Differentiate

V = (π/12)R³

Here, we first need to find the area of a single shell.

The area of the single shell is:

Area = 2πx * dx

The volume of the hemisphere using the single shell method is given by:

V = ∫(2π x * dx)dy from 0 to R

So, we have

V = 2π * ∫xdy*dx from 0 to R

Differentiate

V = 2π/3(R³)

Here, we can use any slicing method, such as slicing the hemisphere parallel to the y-axis.

The volume of the hemisphere using the general slicing method is given by:

V = ∫(π * (x^2) * dy) from 0 to R

So, we have

V = π * ∫(y^2)dy from 0 to R

Differentiate

V = π/3(R³)

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By applying Cathetus theorem, the value of x is equal to 10 units.

In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.

In this context, we have:

x² = m × a

x² = (21 + 4) × 4

x² = 25 × 4

x² = 100

x = √100

x = 10 units.

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Answer:

step 10 5 to the 10th power

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

-18

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

n = 18

Step-by-step explanation:

n/2 + 15 = 24

n/2 = 9

n = 18

Answer:

1 4/5 of a necklace, or 1.8 necklaces.

Step-by-step explanation:

As we know, an hour has 60 minutes, and Janet can make 3/5 of a necklace in 20 minutes. 60/20 is 3. So we need to mulitply 3/5 by 3 to get the amount of necklaces she can make in an hour. When we do this, we get 9/5. We can convert this to 1 4/5, and as decimal form, this is 1.8. That is our answer. I hope this helps!

Answer:

12%

Step-by-step explanation:

cause i do be smart tho

To calculate the efficiency of the module, divide the actual power output by the maximum possible power output. For a module with a power rating of 240 W and an area of 1.5 m², assuming a sunlight intensity of 1000 W/m², the efficiency is calculated to be 16%.

To calculate the efficiency of the module, you need to divide the actual power output by the maximum possible power output.

First, convert the module's power rating from watts to kilowatts by dividing it by 1000:
240 W / 1000 = 0.24 kW
Next, use the formula for efficiency:
Efficiency = (Actual Power Output / Maximum Power Output) x 100
Since the actual power output is the same as the power rating (240 W or 0.24 kW), and the maximum power output can be calculated using the module's area:
Maximum Power Output = Module Area x Sunlight Intensity
In this case, the module area is given as 1.5 m². We assume that the sunlight intensity is 1000 W/m².
Maximum Power Output = 1.5 m² x 1000 W/m² = 1500 W or 1.5 kW
Now, substitute the values into the efficiency formula:
Efficiency = (0.24 kW / 1.5 kW) x 100 = 16%
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Answer:

69

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Multiply the base x height

It will be 8 x 4

And if you multiply it, it should equal to 32 so that means...

The volume of the cylinder is 32.

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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Answer:

A

Step-by-step explanation:

Give some examples like

2/3