I need help please. I need the the discount and selling price. Thank you

Answer:

c

Step-by-step explanation:

Answer:

Hello some data related to your question is missing attached below is the missing data

a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )

b) ( 3.819 , 8.5226 )

Step-by-step explanation:

Applying the Given data:

The test hypothesis :

H0 : μ1 = μ2

Ha : μ1 > 2

A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures

B ) construct and interpret

next calculate the SP value

[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]

where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551   ( input values into equation above )

∴ [tex]S^{2} _{p}[/tex] = 39354491.3716

hence : [tex]S_{p}[/tex] = 6273.32

next calculate the value of test statistic

to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]

where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100  ( input values into equation above )

to = 6705 / 1086.5702 = 6.1708

Df ( degree of freedom ) = n1 + n2 - 2 = 148

critical value at ∝ = 0.01  = ± 2.3518  ( using excel function : T.INV(0.01,148) )

hence the confidence Interval

= ( 6.1708 ± 2.3518 )

= ( 3.819 , 8.5226 )

For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).

Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.

                                   Politicians        EMT's

Mean                            $61,234       $54,529

Standard deviation      $7524          $5551

n                                      50                100

The hypothesis for the test,

[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]

No it is not justifies, as the null hypothesis is rejected.

The pooled estimate of a common population standard deviation can be given as,

[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]

Put the values in the above formula from the table, we get,

[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]

Use the formula of test statistics for equal variance as,

[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]

Put the values from the table as,

[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]

The degree of freedom can be given as,

[tex]DF=100+50-2\\DF=148[/tex]

The critical value for 99 percent interval (0.01) is ±2.3518.

Hence, the confidence interval for this two values is (6.1708, ±2.3518).

Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).

Learn more about the random sample here;

https://brainly.com/question/17831271

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

Answer:

8y−56z+8

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Answer:

6pulgadas  

Step-by-step explanation:

Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

Any angle that measures less than 90 degrees

Answer:

10

Step-by-step explanation:

Answer:

C IS THE ANSWER

Answer:

Answer is A.

-n+3

Step-by-step explanation:

Answer:

The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

In order to maximize profit, each widget should sell for $26.70.

Step-by-step explanation:

The total amount of profit y given by the selling price of each widget x is given by:

[tex]y=-15x^2+801x-5900[/tex]

And we want to determine the price of each widget such that is yields the maximum profit.

Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.

The vertex of a quadratic is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]

So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.

Therefore, the price that maximizes profit is:

[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]

Therefore, in order to maximize profit, each widget should sell for $26.70.

Notes:

Then substituting this back into the equation, the maximum profit is:

[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]

Answer:

x<9

Step-by-step explanation:

Answer:

It should be 0.5 if I’m wrong let me know

Step-by-step explanation:

A=HbB/ 2 = 1x1/2=0.5

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

Answer:

The question is an incomplete question

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

Answer:

Slope= 1/3

y-int: -1

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

9514 1404 393

Answer:

  16 square units

Step-by-step explanation:

When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(2 +6)(4) = 16

The area of the trapezoid is 16 square units.

Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same