The following is a random sample of the annual salaries of high school counselors in the United States. Assuming that the distribution of salaries is approximately normal, construct a 95% confidence interval for the mean salary of high school counselors across the United States. Round to the nearest dollar.
$42,670,$64,150,$41,200,$44,030,$41,370,$35,010,$33,630

Answer:

f'(0) = -2

f'(-2) = dne

[tex]\lim_{h \to 0^+} \frac{f(2+h)-f(2)}{h} = \text{does not exist}[/tex]

Step-by-step explanation:

The question specifically asks us to use the graph of the function to evaluate the following problems.

In order to find the derivative of a function at a specific point on the graph:

In order to find f'(0), find x = 0 on the graph. This is at the origin. Now, draw a line tangent to the curve of the graph at x = 0.

This tangent line will follow the same direction as the original function. So, we want to find the slope tangent line now - we can do so by finding the slope of the graph between the interval [-2, 2].

Slope of tangent line for f'(0):

The slope of the tangent line for f'(0) is -2, therefore, this is the derivative at this point on the graph.

This is solving the problem graphically/algebraically, but you could also look at the graph and determine the rise/run in your head. Your choice.

Now, for f'(-2), we cannot use the same process as before since the graph shows that there is a sharp point at x = -2. This is called a "corner" and means that while the function is continuous, it is not differentiable.

Therefore, we can write that at f'(-2), the derivative does not exist (dne).

The same process occurs for f'(2), since there is a sharp point here. The derivative, based on the graph, does not exist.

Answer E

Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.

Answer:

100 seconds

Step-by-step explanation:

12 arrows in 20 seconds

60 is 5 times of 12

multiply 20 by 5

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Total number of units= 11,300

Total overhead= 6,200 + 188,000 + 134,000 + 29,000 + 224,750= $581,950

To calculate the predetermined manufacturing overhead rate we need to use the following formula:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 581,950 / 11,300

Predetermined manufacturing overhead rate= $51.5 per unit

Now, we can calculate the total cost of making 2,600 units:

Total cost= (82 + 66 + 51.5)*2,600

Total cost= $518,700

Answer:

s-32

Step-by-step explanation:

i got it correct:)

S-32 is the expression to show the amount of soup Marta has left

An expression is combination of variables, numbers and operators.

Given,

Marta makes S ounces of soaps.

She always freezes 32 of the soap for remaining.

We need to find the expression to show the amount of soup Marta has left.

This can be done by the expression

S-32

where S is the number of ounces.

Hence, S-32 is the expression to show the amount of soup Marta has left

To learn more on Expressions click:

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Answer:

you need to subtract those number in one whole and like this  2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26​ the answer is -221

Step-by-step explanation:

The two pairs of adjacent angles from the coordinate plane are as follows;

∠ 6 and ∠ 5

∠ 3 and ∠ 2

Adjacent angles are angles that have a common side and a common vertex.

Therefore, the two pairs of adjacent angles are as follows;

learn more on adjacent angles here: https://brainly.com/question/20537672

Answer:

1,2,4,7,14, or 28

Step-by-step explanation:

I got it right

Responder:

60 triángulos

Explicación paso a paso:

La pregunta está incompleta. No se dio el área del cartón. Digamos que la dimensión del cartón es de 2 m por 0,9 m.

Área del cartón = Largo * Ancho

Dado;

Longitud = 2 m

Ancho = 0,9 m

Área del cartón = 2 * 0.9

Área del cartón = 1.8m²

Si María decide recortar rectángulos con un área igual a 0.03 m², la cantidad de rectángulos que puede obtener del tablero se expresa como;

Número de rectángulos = área del cartón / área de cada parte recortada

Número de rectángulos = 1.8 / 0.03

Número de rectángulos = 60 rectángulos.

Por tanto, el número de rectángulos que puede recortar es de 60 rectángulos.

Tenga en cuenta que se asumió el área del rectángulo y que se puede emplear el mismo cálculo para cualquier otra dimensión dada.

Answer:

2( w + 3 )

Step-by-step explanation:

Well first off, since theres no common term to factor out, I had to split 6 in half

so 2 w + 6 becomes 2w + 2 x 3.

I then factored out 2 because it's a common term,

which then leaves: 2( w + 3 )

basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this question you must change the mixed numbers into improper fractions and then solve.

[tex]1\frac{3}{4} \times\frac{2}{4}[/tex]

Convert into improper fraction:

[tex]4\times1=4+3=7[/tex]

(Remember to keep the denominator the same)

[tex]\frac{7}{4} \times\frac{2}{4}[/tex]

Now multiply:

[tex]7\times2=14[/tex]

[tex]4\times4=16[/tex]

[tex]=\frac{14}{16}[/tex]

Hope this helps.

Answer:

14/16

Step-by-step explanation:

Answer:

Convenience sampling

Step-by-step explanation:

When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.

Answer:

6^2x+52

Step-by-step explanation:

Answer:

He has 8 1/4 or 8.25 pounds of pearls

Step-by-step explanation:

4 3/4 + 3 1/2

You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.

The answer is (C) 12+10[tex]\sqrt{3\\[/tex] !

There's not much to do here.

-7x > 9

Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.

x < -9/7

Done.

Answer:

[tex]y<-\frac{4}{3}x+5[/tex]

Step-by-step explanation:

We first need to determine the equation of the line.

Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).

Now, we can use the slope formula. Therefore:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:

[tex]m=\frac{1-5}{3-0}=\frac{-4}{3}[/tex]

Therefore, our slope is -4/3.

Now, we can use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is our slope and b is the y-intercept.

We already determined that the slope is -4/3.

And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:

[tex]y=-\frac{4}{3}x+5[/tex]

Finally, we need to determine our inequality sign.

Notice that our line is dotted. Hence, we do not need “or equal to.”

Also, the blue shaded region is below our line. Therefore, y must be less than our equation.

Hence, our sign is less than.

Therefore, our equation is:

[tex]y<-\frac{4}{3}x+5[/tex]

Answer:

The sample size is  [tex]n = 451 [/tex]

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  [tex]\^ p = 0.12[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

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

=>   [tex]n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) [/tex]

=>   [tex]n = 451 [/tex]

This question is based on concept of normal distribution.Therefore, 451 individuals must  survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

Given:

The sample size is n=451.

According to question,

The margin of error is E = 0.03

The sample proportion is  [tex]\bold{\hat{p}}[/tex] =0.12

From the question, the confidence level is 95% , hence the level of significance is,

[tex]\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}[/tex]  

Normally, as per the normal distribution table the critical value  of,

[tex]\dfrac{\alpha }{2}[/tex] is

[tex]\bold{Z_\frac{\alpha }{2} =1.96}[/tex]

And ,the sample size in mathematically represented as,

[tex]\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}[/tex]

Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

For further details, please prefer this link:

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Answer:

4 cans

Step-by-step explanation:

this can be 4 cans because if 6 cans equal 40% it's opposite so 4 cans equal 60% so full is 100% so 60%+40%=100%  

Answer:

    1,407

x       14

_______

     5,628

+   1,4070

______

  19,698

The two partial products are 5,628 and 14,070

Answer:

18.2

Step-by-step explanation:

A way we can find the average is by finding the mean.

Mean is found when you add up all the numbers and divide by the total amount of values there are.

In this case there are 5 values in total.

[tex]\frac{17+24+19+17+14}{5}[/tex] = 91/5 = 18.2

Answer:

18.2

Step-by-step explanation:

add all values together and divide by number of values.

17+ 24+ 19+ 17+14

then divide by 5

The complete question is;

The following diagram(attached) shows how all the Grade Seven students of

Koronadal National Comprehensive High School go to school.

How many grade seven students of koronadal national comprehensive high school are there in all

Answer:

269 students

Step-by-step explanation:

From the venn diagram attached, we can see various given numbers of the students of the different modes of transport to school.

To get how many grade 7 students there are in total, we will add all the students inside the venn diagram simply because the set of grade 7 students are represented by those inside the venn the venn diagram while the number 100 outside the venn diagram is not a member of the set of grade 7 students which we are dealing with.

Thus,

Total number of grade 7 students = 76 + 19 + 15 + 17 + 55 + 20 + 67 = 269

Answer:

0.3

Step-by-step explanation:

30% out of 100% is 30/100 or 3/10. 3/10 as a decimal is 0.3.

If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

0.3

Step-by-step explanation:

30/100= 0.3

You get the 100 as all percentages add up to 100% if 30% of the cars have GPS then you will need to do 30/100 (the whole) to get your answer :)

Answer:

x = 2 or x = -3

Step-by-step explanation:

Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.

Thus:

[tex] RT = BC [/tex]

[tex] (x^2 + x) = 6 [/tex]

Solve for x

[tex] x^2 + x = 6 [/tex]

Subtract 6 from each side

[tex] x^2 + x - 6 = 6 - 6 [/tex]

[tex] x^2 + x - 6 = 0 [/tex]

Factorise

[tex] x^2 + 3x - 2x - 6 = 0 [/tex]

[tex] x(x + 3) -2(x + 3) [/tex]

[tex] (x - 2)(x + 3) [/tex]

x = 2 or x = -3

Answer:

y=-2x+11

Step-by-step explanation:

Answer:

i think its 5.652 hope it helps

Step-by-step explanation:

DE is 30, so AD is also 30

A full circle is 360

ACE = 360- Ad-de

Ace = 360-30-30 = 300

Ac is half of ace

Ac = 300/2 = 150

The answer is b 150