A recent report from the American Medical Association claims that for the first time in 10 years, the average salary of psychiatrists was $189,121 with a standard deviation of $26,975. A random sample of 64 psychiatrists this year yielded an average salary of $198,630. Is there evidence that the average salary is actually higher than what the American Medical Association reported

Answer:

Step-by-step explanation:

Answer:

Area of the grass in the circular lawn is 1250 square feet

Step-by-step explanation:

Lawn is in the shape of circle having radius = 20 feet

Area of the circular lawn will be represented by the formula,

Area = πr² [ Here 'r' = Radius of the circular lawn]

       = (3.14)(20)²

       = 3.14 × 400

       = 1250 square feet

Therefore, area of the grass in the circular lawn will be 1250 square feet

Answer:

1250 square feet

Step-by-step explanation:

A = pie × radius^2

Answer:

x = -1.4375

Step-by-step explanation:

Multiply the monomials: 40x + 7 = 24x - 16

Rearrange unknown terms to the left side of the equation: 40x-24x=-16-7

Combine like terms: 16x=-16-7

Calculate the sum or difference: 16x = -23

Divide both sides of the equation by the coefficient of variable: x = -23÷16

Calculate the product or quotient: x=-1.4375

4.8

Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

To know more about expression click-
http://brainly.com/question/1859113
#SPJ1


Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

Answer:

Last option, $58.50

Step-by-step explanation:

Let's look at the graph, and let's do a simple analysis of the information that it shows.

We can see that in 2009, the price was between $30 and $40.

We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.

Then we can only expect that a few years later (in 2016) the price to be larger than $50.

The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.

We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.

Answer:

so the answer without simplifying is 4/9 but divided by two is 2/4.5 round up and thus the answer is 2/5

Step-by-step explanation:

count the letters

see how many Vowels are there

place in a fraction

simplify

Answer:

∠A= ∠E, ∠H = ∠D

and the last one

Step-by-step explanation:

opposite angles are equal, alternative interior angle are equal.

Answer:

∠A = ∠E and ∠H = ∠D.

∠E = ∠H and ∠F = ∠G

Step-by-step explanation:

Angles A and E are one set of corresponding angles and angles H and D are another set.  Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.

Angles E and H are one set of vertical angles and angles F and G are another set.  Vertical angles are also always congruent to each other and thus equal.  Therefore ∠E = ∠H and ∠F = ∠G

Answer:

\(c=\sqrt{32}\)

Step-by-step explanation:

When we solve for this we should always remember this formula \(a^2+b^2=c^2\) and since we already know a and b we can plug that in to find out what c could be but we won't actually solve it.

\(a^2+b^2=c^2\\4^2+4^2=c^2\\16+16=c^2\\32=c^2\\\sqrt{c^2}=\sqrt{32}\\c=\sqrt{32}\)

So c would equal whatever the square root of 32 is.

Answer:

2

Step-by-step explanation:

1/2 divided by 1/4 rewritten is 1/2 times 4/1 equels 4/2. In its simplest form 2.

1/2 divided by 1/4 in the simplest form is 2.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that the expression 1/2 divided by 1/4.

simplifying,

1/2 divided by 1/4  = 1/2 ÷ 1/4

Rearranging into the multiplication form,

1/2 divided by 1/4 = 4/2

1/2 divided by 1/4 = 2

Therefore, the simplest form of 1/2 divided by 1/4 is 2.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

15/2

Step-by-step explanation:

Answer:

\(x<3\)

Step-by-step explanation:

Treat this the same way you would an equation. Isolate the variable. Add 6 to both sides:

\(5x-6+6<9+6\\\\5x<15\)

Divide both sides by 5:

\(\frac{5x}{5}<\frac{15}{5}\\\\ x<3\)

The value of x is less than 3.

:Done

Answer:

x < 3

Step-by-step explanation:

5x – 6 < 9

Add 6 to each side

5x – 6+6 < 9+6

5x < 15

Divide by 5

5x/5 < 15/5

x < 3

The two spheres are similar.

Given,

Radius of sphere 1 =  9 ft

Radius of sphere 2 = 6 ft

So,

In case of sphere there is there is only one measurement to compare and they will be similar to each other at the least and if the condition of congruency arises their scale factor will be 1 .

Then,

The two spheres are similar since they have a proportion of their radius. This proportion is 9/6 (3/2) or 6/9 (2/3).

They are not congruent. They do not have the same radius.

Therefore, the spheres are similar.

Learn more about sphere,

https://brainly.com/question/21623450

#SPJ1

Answer:

g= (9,8)  f= (-5,1)

Step-by-step explanation:

you're welcome =)

Answer:

4000 grams

Step-by-step explanation:

1 kilogram = 1000 grams therefore 4 kilograms = 4000 grams

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

for such more question on prime number

https://brainly.com/question/18187355

#SPJ11

Answer:

Step-by-step explanation:

Divide price by quantity of each and compare:

7.80 / 12 = o.65 per tin

4.20 / 6 = 0.70 per tin

12 for 7.80 is less per tin, so is the Best Buy.

Answer:

\( \frac{19 + 6 \sqrt{3} }{2} \)

Step-by-step explanation:

\(2a - \frac{1}{ \sqrt{a} } + \frac{1}{a} \: \: \: when \: \: a = 4 + 2 \sqrt{3} \)

\(2 \times (4 + 2 \sqrt{3} ) - \frac{1}{ \sqrt{4 + 2 \sqrt{3} } } + \frac{1}{4 + 2 \sqrt{3} } \)

Expand the brackets (multiply every term inside the bracket by the term on the outside) and make the denominator the same (4 + 2√3):

\( \frac{(8 + 4\sqrt{3} )\times(4 + 2 \sqrt{3} ) }{4 + 2 \sqrt{3} } - \frac{ \sqrt{4 + 2 \sqrt{3} } }{4 + 2 \sqrt{3} } + \frac{1}{4 + 2 \sqrt{3} } \)

\( \frac{32 + 16 \sqrt{3} + 16 \sqrt{3} + 24 - \sqrt{4 + 2 \sqrt{3} } + 1}{4 + 2 \sqrt{3} } \)

Collect like-terms:

\( \frac{57+ 32 \sqrt{3} - \sqrt{4 + 2 \sqrt{3} } }{4 + 2 \sqrt{3} } \)

\( \frac{57 + 32 \sqrt{3} - \sqrt{( {1 + \sqrt{3}) }^{2} } }{4 + 2 \sqrt{3} } \)

\( \frac{57 + 32 \sqrt{3} - (1 + \sqrt{3} )}{4 + 2 \sqrt{3} } \)

Eliminate the parentheses:

\( \frac{57 + 32 \sqrt{3} - 1 - \sqrt{3} }{4 + 2 \sqrt{3} } \)

Collect like terms:

\( \frac{56 + 31 \sqrt{3} }{4 + 2 \sqrt{3} } \)

\( \frac{56 + 31 \sqrt{3} }{4 + 2 \sqrt{3} } \times \frac{4 - 2 \sqrt{3} }{4 - 2 \sqrt{3} } = \frac{224 - 112 \sqrt{3} + 124 \sqrt{3} - 186}{16 - 4 \times 3} = \frac{38 + 12 \sqrt{3} }{4} \)

\( \frac{2(19 + 6 \sqrt{3}) }{4} = \frac{19 + 6 \sqrt{3} }{2} \)

The triangle ΔRCD is similar to the triangle ΔRAP. Then the value of the variable 'x' is 28 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔRCD is similar to the triangle ΔRAP. Then the equation is given as,

RC / CA = RD / DP

x / 10 = 42 / 15

x / 2 = 14

x = 2 (14)

x = 28

The triangle ΔRCD is similar to the triangle ΔRAP. Then the value of the variable 'x' is 28 units.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

x = 28 units

Step-by-step explanation:

As AP is parallel to CD (indicated by the arrows on the line segment), triangle APR is similar to triangle CDR.

In similar triangles, corresponding sides are always in the same ratio.

\(\implies \sf AP:CD=PR:DR=AR:CR\)

Given

Therefore:

\(\implies \sf PR:DR=AR:CR\)

\(\implies \sf 57:42=10+x:x\)

\(\implies \sf \dfrac{57}{42}=\dfrac{10+x}{x}\)

\(\implies \sf 57x=42(10+x)\)

\(\implies \sf 57x=420+42x\)

\(\implies \sf 15x=420\)

\(\implies \sf x=28\)

Answer:

C

Step-by-step explanation:

I hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Y = 5

x = 4

Substitute

5 + 1 - 4

6 - 4

2

Answer:

Given that x = 4 and y = 5,

\(\sf 5 + 1 - 4\\(5 + 1) - 4\\5 + 1\\= 6\\= 6 - 4\\= 2\)

Therefore, the answer is 2.

dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.

To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.

Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.

Learn more about differential equation here:

https://brainly.com/question/14620493

#SPJ4

Answer:

1/2 is the answer

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

He used \($=1 \frac{7}{8} \mathrm{lb}$\) . An algebraic equation, often known as a polynomial equation

Determine the number of pounds used

To solve this, we simply multiply the fraction of tomato used by the total;

\(Used $=$ Fraction $*$ Total\)

Used\(=\frac{5}{8} * 3 l b$\)

Used\(=\frac{5 * 3}{8} l b$\)

Used = 15/8 lb

Convert to mixed number

Used \($=1 \frac{7}{8} \mathrm{lb}$\)

To learn more about mathematical equations refer to:

https://brainly.com/question/22688504

#SPJ4

Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.

To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.

Total weekly cost = Fixed rate + Insurance cost + Gas cost

Total weekly cost = $49.00 + $14.00 + $12.00

Total weekly cost = $75.00

The cost for Thanh per month (four weeks) = Total weekly cost × 4

Cost for Thanh per month (four weeks) = $75.00 × 4

Cost for Thanh per month (four weeks) = $300.00

Therefore, Thanh's cost per month (four weeks) will be $300.00.

For more question on fixed rate

https://brainly.com/question/30096538

#SPJ8

Answer:

what is this language

Step-by-step explanation:

Answer:

hope it will help you.....

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

For more such questions on positive square root visit;

https://brainly.com/question/14474761

#SPJ8

Answer:

The Sum of 2 Numbers is 17 & Their Product is 70. Find the Numbers -

Step-by-step explanation:

The Factors of 70 are - 1, 2, 5, 7, 10, 14, 35 & 70

Now, Find the two Factors, when added gives the Sum as 10 & the Product of Multiplication as 17 -

From the given Statement, we can see that when the Factors 7 & 10, when Added gives the Sum as 17 and Their Product as 70 *(7 + 10 = 17 ; 7 × 10 = 70)

Therefore, the two Numbers are 7 & 10

Answer:

The choose C. 2

\(( \frac{4 ^{ \frac{5}{4} } \times 4^{ \frac{1}{4} } }{4 ^{ \frac{1}{2} } } )^{ \frac{1}{2} } = 2\)

Answer:

2

Step-by-step explanation:

inside the parenthesis is equivalent to 4^(5/4 + 1/4 - 1/2) = 4¹ = 4

√4 = 2