44) The length of a rectangle is 15.6 cm correct to 1 decimal place.
The width of a rectangle is 3.8 cm correct to 1 decimal place.

Calculate the upper bound for the perimeter of the rectangle.

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Step-by-step explanation:

1 mile = 5280 ft

1 hour = 3600 seconds (60 minutes of 60 seconds each).

the open question here is : do we need the ground distance, or really the line of sight distance (e.g. directly above the intersection the distance is 0 ft ground distance but 95ft line of sight distance) ?

based on the above conversions the speed

30 miles per hour = 30×5280 ft per 3600 seconds =

= 158,400 ft / 3600 s = 44 ft/s

so, the balloon moves away from the intersection 44 ft every second.

so, just for ground distance in ft we would have

d = 44t

for the line of sight distance we need to use Pythagoras, as we need to calculate the length of the Hypotenuse (= the line of sight) of the right-angled triangle of ground distance, height and line of sight.

the ground distance is again the same function as before (44t). height is constant (95 ft).

so,

d² = (44t)² + 95² = 1936t² + 9025

d = sqrt(1936t² + 9025)

so, e.g. after 1 second the line of sight distance would be

d = sqrt(1936×1 + 9025) = sqrt(1936 + 9025) =

= sqrt(10961) = 104.6947945... ft

that means although the ground distance increased by 44 ft, the line of sight distance increased only by roughly 10 ft.

that's how right-angled triangles work.

after 2 seconds d = 129.4951737... ft, so, roughly a 25 ft increase compared to 1 second. the change rate of the line of sight distance (the Hypotenuse) will get closer and closer to the (constant) change rate of the ground distance (but will never fully reach it - only in infinity ...).

Using the Empirical Rule, the percentages are given as follows:

a) 99.7%.

b) 49.85%.

c) 0.15%.

It states that, for a normally distributed random variable:

In this problem, we have that:

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

$3.276

Step-by-step explanation:

From the question, we are told that the price of banana is

1 pound = $2.34

1.4 pounds = $ y

Cross Multiply

1 pounds × $y = 1.4 pounds × $2.34

$y = 1.4 pounds × $2.34/1 pounds

$y = $3.276

Therefore, a person will pay $3.276 for 1.4 pounds of banana

Answer:

8 species are from South America

Step-by-step explanation:

In order to find the answer to this, you need to make the denominators of the North American and African species the same.

To do this, multiply 1/4 x 2/2.

You would then get 2/8. This means 2/8 of the species are African

Since you now have the same denominator, add the fractions together, and the total amount of North American and African species is 7/8, leaving 1/8 for the South American species.

You would then divide 64 by 8 to see how much 1/8 is worth in terms of how many species, and would then get 8.

Answer:

X is less than or equal to five.

Step-by-step explanation:

Add five on each side and divide by 2!

Answer:

Below

Step-by-step explanation:

(27500 - 8700) >= 150 x       where x is the number of 150 kg containers

The topsoil will be 4.05 inches deep

From the question, we are to determine how many inches deep the topsoil will be

From the given information,

The volume of the topsoil = 1 cubic yard

Convert to cubic feet

1 cubic yard = 27 cubic feet

∴ The volume of the topsoil = 27 cubic feet

Then,

The depth of the topsoil will be = 27/(8 ×10)

Depth of topsoil = 27/80

Depth of topsoil = 0.3375 foot

Now, convert to inches

1 foot = 12 inches

∴ 0.3375 foot = 0.3375×12 inches

= 4.05 inches

Hence, the topsoil will be 4.05 inches deep

Learn more on Calculating depth here: https://brainly.com/question/15489457

#SPJ1

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

learn more about perimeter here:

https://brainly.com/question/28499208

#SPJ9

Answer: x =3; y = -2

\(\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.\)

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

Answer:

  y = 0

Step-by-step explanation:

You want the horizontal asymptote of y=2x^2/3x^3.

Degree of numerator: 2

Degree of denominator: 3

When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...

  y = 0

__

Additional comment

This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.

<95141404393>

Answer:

The sample size is \(n = 2401\)

Step-by-step explanation:

From the question we are told that

    The margin of error is  \(E = 0.02\)

Given that the confidence level is  95% then the level of significance can be mathematically evaluated as  

            \(\alpha = 100 - 95\)

            \(\alpha = 5\%\)

            \(\alpha = 0.05\)

Next we would obtain the critical value of \(\frac{\alpha }{2}\) from the z-table , the values is  

     \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 1.96\)

The reason we are obtaining critical value of   \(\frac{\alpha }{2}\)  instead of     \(\alpha\) is  because  

\(\alpha\)  represents the area under the normal curve where the confidence level interval (   \(1-\alpha\)  ) did not cover which include both the left and right tail while

 \(\frac{\alpha }{2}\) is just the area of one tail which what we required to calculate the  sample  size

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)      

   Generally the sample size is mathematically evaluated as

          \(n = [ \frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p)\)

Where \(\r p\) is the proportion of sample taken which we will assume to be \(\r p = 0.5\)            

        substituting values  

                 \(n = [\frac{ 1.96}{0.02} ]^2 *( 0.5 (1- 0.5)\)

                \(n = 2401\)

The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

The graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.

If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.

In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

Read more about equations here:https://brainly.com/question/28732353

#SPJ1

Answer:

the number is 1

Step-by-step explanation:

Your equation to solve is:

4 +3x = 7

move the four

4 + 3x = 7

-4           -4

3x = 3

x = 1

Option B has the highest overall cost by $64.50.

To determine the option that would result in the highest overall cost for the employee

we need to compare the costs of both options based on the estimated prescription drug expenses.

Option A:

Monthly premium: $94

Prescription coverage: 80%

Option B:

Monthly premium: $42

Prescription coverage: 75% for the first $500, 85% for costs over $500

Let's calculate the costs for each option:

Option A:

Total prescription drug cost: $1,250

Employee's share (20%): 20% × $1,250 = $250

Monthly premium: $94

Total cost for Option A: $250 + $94 = $344

Option B:

Total prescription drug cost: $1,250

Employee's share for the first $500 (25%): 25% × $500 = $125

Employee's share for costs over $500 (15%): 15% × ($1,250 - $500) = $112.50

Monthly premium: $42

Total cost for Option B: $125 + $112.50 + $42 = $279.50

Comparing the total costs for each option, we see that Option B has a lower overall cost for the employee.

Hence, Option B has the highest overall cost by $64.50.

To learn more on Cost click:

https://brainly.com/question/14566816

#SPJ1

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

For more such question on hypothesis

https://brainly.com/question/25263462

#SPJ8

Answer:

The answer is 28

Step-by-step explanation:

Please mark brainliest

The expected profit of the man from the horse race is $22,400.

Given data:

To find the man's expected profit, calculate the probability of each outcome and multiply it by the corresponding profit.

To determine the probability of each outcome based on the given information:

Probability of winning both races = 0.30 * 0.40

Probability of winning both races = 0.12

Probability of winning one race = 0.30 * 0.60 + 0.70 * 0.40

Probability of winning one race = 0.46

Probability of losing both races = 0.70 * 0.60

Probability of losing both races = 0.42

Next, calculate the expected profit for each outcome:

Profit from winning both races = $90,000 - $20,000

Profit from winning both races = $70,000

Profit from winning one race = $55,000 - $20,000

Profit from winning one race = $35,000

Profit from losing both races = $15,000 - $20,000

Profit from losing both races = -$5,000 (a loss of $5,000)

Now, determine the man's expected profit by multiplying the probability of each outcome by the corresponding profit and summing them up:

Expected profit = (0.12 * $70,000) + (0.46 * $35,000) + (0.42 * -$5,000)

Expected profit = $8,400 + $16,100 - $2,100

Expected profit = $22,400

Hence, the man's expected profit is $22,400

To learn more about probability, refer:

https://brainly.com/question/17089724

#SPJ12

Answer:

22 patties

Step-by-step explanation:

To find how many patties she can make, divide 5 1/2 by 1/4

5.5/0.25

= 22

So, she can make 22 patties

Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

<95141404393>

30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.

Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,

⇒ x + y = 60 ⇒ x = 60 - y ----(1),

Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,

⇒ 28% of x + 16% of y = 22% of 60

⇒ 0.28x + 0.16y = 0.22 × 60

⇒ 0.28x + 0.16y = 13.2

⇒ 28x + 16y = 1320

⇒ 14x + 8y = 660

From equation (1),

14(60-y) + 8y = 660

840 - 14y + 8y = 660

6y = 180

y = 30

Again from equation (1),

x = 60 - y

= 60 - 30

= 30

Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%

To learn more about percentages;

https://brainly.com/question/28773949

#SPJ1

Based on our line of best fit, we would expect the output value to be approximately 30 when the input is 10.

To draw a line of best fit for the given data, we need to examine the pattern and trend in the data points. Based on the given vertical values (outputs) and horizontal values (inputs), we can plot the points on a graph and draw a line that closely fits the overall trend of the data.

The data points are as follows:

Input (Horizontal) Values: 0, 5, 10, 15, 20

Output (Vertical) Values: 60, 45, 30, 15, 0

When we plot these points on a graph with the horizontal axis representing the input values and the vertical axis representing the output values, we can observe that the points create a linear pattern, sloping downwards from left to right.

Based on this pattern, we can draw a line that best fits the data. The line would start at the point (0, 60) and end at the point (20, 0). This line would represent the overall trend observed in the data points and provide a reasonable approximation of the relationship between the input and output values.

Now, to estimate the expected output value when the input is 10, we can simply locate the point on the line that corresponds to an input value of 10. From the line we drew, we can see that when the input is 10, the estimated output value is around 30.

For more such questions on output value visit:

https://brainly.com/question/29481177

#SPJ11

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

To know more about  approximately , visit:

https://brainly.com/question/29580932

#SPJ1

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Using probabilities, it is found that the expected profit of one round of this game is of $0.

A probability is the number of desired outcomes divided by the number of total outcomes.

Hence, since the coin and the dice are independent, the probability of winning is:

\(p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}\)

The expected value is the sum of each outcome multiplied by its respective probability.

In this problem:

Then:

\(E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0\)

The expected profit of one round of this game is of $0.

A similar problem is given at https://brainly.com/question/24855677

Answer:

7 schools have fewer than 50 classrooms.

Answer:-2

Step-by-step explanation:

Ok so I’m assuming the x stands for the multiplication sign

7/2-4.5*3+8

Use pemdas

Multiplication first

7/2-4.5*3+8

-4.5*3

7/2-13.5+8

Then addition

-13.5+8

Lastly subtraction

7/2-5

-2

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1