9
.
27
21
Solve for 3

Answer:

85 boxes at the store becuase 17 is 20 percent of 85

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

If there are approximately 2,000,000 described eukaryotic species and approximately 50% are insects, then the number of described insect species is 2,000,000 * 0.5 = 1,000,000.

The Nature Conservancy identified 400 species of beetles, of which 100 had been previously described. This means that they discovered 400 - 100 = 300 new beetle species.

Assuming that the proportion of new beetle species to total insect species is the same as the proportion of described beetle species to described insect species, we can set up the following proportion:

300 / x = 100 / 1,000,000

where x is the total number of insect species.

Solving for x, we get:

x = (300 * 1,000,000) / 100

x = 3,000,000

Therefore, the 2020 data suggests that there are a total of 3,000,000 insect species.

So the answer is not among the given options.

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The group with the largest uncertainty error in a 95% confidence level among Group A, B, C, and D is Group D.

To determine the uncertainty error for each group, we'll calculate the margin of error using the formula:

Margin of Error = t (95%) × (sample deviation / sqrt(sample size))

Assuming a t (95%) value of 2.0 and a sample size of 25 for all groups, we have:

Group A:

Margin of Error = \(2.0 × (0.51 / sqrt(25)) = 2.0 × (0.51 / 5) = 0.204\)

Group B:

Margin of Error =\(2.0 × (0.06 / sqrt(25)) = 2.0 × (0.06 / 5) = 0.024\)

Group C:

Margin of Error = \(2.0 × (0.55 / sqrt(25)) = 2.0 × (0.55 / 5) = 0.22\)

Group D:

Margin of Error = \(2.0 × (2.00 / sqrt(25)) = 2.0 × (2.00 / 5) = 0.8\)

Based on the margin of error calculations, Group D has the largest uncertainty error at a 95% confidence level, with a

margin of error of 0.8 mm.

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Answer:

12a+62b

Step-by-step explanation:

4a(2+3b)-5b(4a-10)

opening brackets

=8a+12b-20a+50b

=8a-20a+12b+50b

=-12a+62b

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

x=20

Step-by-step explanation:

3x + 2x + 80=180

5x+80=180

5x=100

x=20

Answer:

x = 20 degrees

Step-by-step explanation:

For this problem, it is important to know that the measure of a line is 180 degrees.  With this in mind, let's build an equation:

3x + 80 + 2x = 180

Now that we have this equation, let's solve for x.

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

Hence, x is 20 degrees.

Cheers.

Answer: 5 hours

Step-by-step explanation:

The car has already travelled 25 miles into the 200 miles that it is meant to travel.

The distance left is therefore:

= 200 - 25

= 175 miles

The car is travelling at 35 miles per hour.

The time left for travel is:

= Distance /  Speed

= 175 / 35

= 5 hours

Answer:

12.50

Step-by-step explanation:

Answer:

Hi !

You need to use the  "cosine rule" :

d² = 24² + 32² - (2 x 24 x 32)cos125°

So == >  d² = 1600 - 1536cos125°

Then ==> d² = 2481.013406

Conclusion == > d = 49.8 nautical miles

The distance between the ships after 2 hours is 49.8 nautical miles

; )

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150).

Probability is the measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability can be used to analyze and make predictions about a wide range of situations, including games of chance, weather patterns, financial markets, and more.

Here,

Using the given numbers, we can calculate the probabilities as follows:

To find the probability that the student ONLY takes History Class, we need to divide the number of students taking only History (37) by the total number of students (150):

P(ONLY History) = 37/150 = 0.2467 or approximately 24.67%

To find the probability that the student takes BOTH History and Biology, we need to divide the number of students taking both (25) by the total number of students (150):

P(History AND Biology) = 25/150 = 0.1667 or approximately 16.67%

To find the probability that the student does NOT take History or Biology, we need to add the number of students taking neither History nor Biology (21) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Neither History nor Biology) = (21 + 17)/150 = 0.2533 or approximately 25.33%

The complement of this event (i.e., the probability of taking either History or Biology) is:

P(History or Biology) = 1 - P(Neither History nor Biology) = 1 - 0.2533 = 0.7467 or approximately 74.67%

To find the probability that the student takes Biology class, we need to add the number of students taking both History and Biology (25) to the number of students taking only Biology (17), and then divide by the total number of students:

P(Biology) = (25 + 17)/150 = 0.2133 or approximately 21.33%

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Answer:

e and f

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

Answer:8.9477 mph

Step-by-step explanation:To convert a meter per second measurement to a mile per hour measurement, multiply the speed by the conversion ratio. One meter per second is equal to 2.236936 miles per hour, so use this simple formula to convert:

Answer:

I think it is 2

Step-by-step explanation:

I hope this is right! Please Rate Brainiest!

Answer:

its obv 478

Step-by-step explanation:

1+1=2 divoided by 400=294-478

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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The value of the constant term in the antiderivative is (54 - ln|2|)/9.

To find the indefinite integral of f(u) = 1/(9u + 2) with respect to u, we can use the power rule of integration. The power rule states that the integral of x^n with respect to x is (1/(n + 1)) * x^(n + 1).

Let's apply the power rule to the given function:

∫ f(u) du = ∫ (1/(9u + 2)) du

To integrate, we need to apply a u-substitution. Let's set 9u + 2 = t:

t = 9u + 2

dt = 9du

du = (1/9)dt

Now we can rewrite the integral:

∫ (1/(9u + 2)) du = ∫ (1/t) * (1/9) dt

= (1/9) ∫ (1/t) dt

Integrating 1/t gives us the natural logarithm:

(1/9) ∫ (1/t) dt = (1/9) ln|t| + C

Substituting back t = 9u + 2:

(1/9) ln|t| + C = (1/9) ln|9u + 2| + C

This is the antiderivative of f(u) with respect to u.

To find the constant term in the antiderivative, we are given that the antiderivative has a value of 6 at u = 0. Plugging in u = 0:

(1/9) ln|9(0) + 2| + C = (1/9) ln|2| + C = 6

Now, we can solve for the constant C:

(1/9) ln|2| + C = 6

(1/9) ln|2| = 6 - C

ln|2| = 9(6 - C)

e^(ln|2|) = e^(9(6 - C))

2 = e^(54 - 9C)

Taking the natural logarithm of both sides:

ln|2| = 54 - 9C

9C = 54 - ln|2|

C = (54 - ln|2|)/9

The value of the constant term in the antiderivative is (54 - ln|2|)/9.

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The double asterisk operator (**) is used to raise the radius to the power of 3, which represents r³ in the formula.

To compute the volume of a sphere, the given formula is used. It is: volume of a sphere = (4.0 / 3.0) πr³ where r is the radius of the sphere.

Therefore, to find the volume of the sphere given the sphere_radius and pi, the formula above is used, as shown below: sphere_volume = (4.0 / 3.0) * pi * sphere_radius**3

where sphere_radius is the given radius of the sphere and pi is the constant pi.

The double asterisk operator (**) is used to raise the radius to the power of 3, which represents r³ in the formula.

Pi (π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is an irrational number, which means it cannot be expressed as a simple fraction or as a finite decimal. The decimal representation of pi goes on infinitely without repeating.

The value of pi is approximately 3.14159, but it is typically rounded to 3.14 for simplicity in calculations. However, to maintain accuracy, mathematicians and scientists often use more decimal places, such as 3.14159265359, depending on the level of precision required for their calculations.

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Full question:

Given sphere_radius and pi, compute the volume of a sphere and assign to sphere_volume. Volume of sphere = (4.0 / 3.0) π r3

Answer:

B

Step-by-step explanation:

\( \sqrt{x} < \sqrt{16} \)

=x<4

It is not one of the base quantities in the SI system. The correct answer for the given question is

The option (c) energy.  

The SI system refers to the International System of Units, which is the standard unit system used internationally for measurement. This system consists of seven base units that represent the basic measurements of physical quantities.The seven base quantities in the SI system are given below:LengthMassTimeElectric current Thermodynamic temperature Amount of substance Luminous intensity. Therefore, the option (e) All of the above are base quantities. is also incorrect.

The SI unit of energy is the joule (J), which is derived from the base units of mass, length, and time. It is not a base unit itself, but it is defined in terms of base units.The correct answer for the second question is the option (c) s 3 /m 2.Explanation:Given, m/s in the numerator and m/s^2 in the denominator.To determine the final units, we can express and simplify the ratio of m/s to m/s^2 as follows:

m/s * s^2/m = s/m

Hence, the final units are s/m, which is equivalent to s^3/m^2.  

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Answer: where?

Step-by-step explanation:

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

The answer is A because a number on it's own is a constant (30) and a number with a variable is a coefficient (12h)

To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

Answer:

24+48+10+14+4=100

10+4=14

14/100, or 7/50 chance

Step-by-step explanation:

Experimental probability is the result of an individual experiment, not theoretical probability

Answer:

x = 42

Step-by-step explanation:

\( \frac{2}{4} x - 3 = 4 + \frac{1}{3} x \\ \\ \implies \: \frac{1}{2} x - \frac{1}{3} x = 4 + 3 \\ \\ \implies \: \frac{3 - 2}{6} x = 7 \\ \\ \implies \: \frac{1}{6} x = 7 \\ \\ \implies \: x = 7 \times 6 \\ \\ \implies \: x = 42\)

Answer:

pls add me as a friend pls

Step-by-step explanation: