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jok3333 [9.3K]
3 years ago
7

Even though the population standard deviation is unknown, an investigator uses z rather than the more appropriate t to test a hy

pothesis at the .05 level of significance.
(a) Is the true level of significance larger or smaller than .05
(b) Is the true critical value larger or smaller than that for the critical z?
Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

a) The level of significance is large because here z is not appropriate.

b) The true critical value is larger than z because the level of significance is large.

Step-by-step explanation:

a) Based on the question under consideration, the true level of significance is larger than .05 level of significance is large, the reason being that z is not appropriate in this case.

b) The true critical value is larger than that of the critical z, this is because the level of significance is large.

t* in P(T > t*) = 0.975 is more than z* = 1.96 in P(z> z*) =0.975

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20 points
irinina [24]

Answer:

(a) 9x^2+16x-4

(b) 9a(2a+5)

(c) (y-6)(y-4)

Step-by-step explanation:

(a)

(9x-2)(x+2)=

9x^2-2x+18x-4=

9x^2+16x-4

(b)

18a^2+45a=

9a(2a+5)

(c)

y^2-10y+24=

(y-6)(y-4)

Hope this helps!

4 0
3 years ago
At Palermo Pizzeria pizzas are sold by their diameter.  Rihanna orders a 14-inch pizza.  Which is closest to the area of the piz
Yuliya22 [10]
To get the Area you need the Radius to get the Radius you need to divide 14 by 2 14/2=7

The Radius is 7 now to get the area we need to multiply 7 by 7 but also add pi 3.14

7*7*3.14=153.86
4 0
4 years ago
Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
3 years ago
Need help with both of these please!! ASAP
Alik [6]

x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
Rufina [12.5K]
To make a positive profit p(x)>0 we need to make:
-100 x^{2} +350x-150 \ \textgreater \  0

Now we solve this for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

We have:
a = -2
b = 7
c = -3

We will use formula for quadratic equation:
x_{1} =  \frac{-b+ \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{2} =  \frac{-b- \sqrt{ b^{2}-4ac } }{2a}  \\  \\  x_{1} =  \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2}  \\  \\  x_{2} =  \frac{-7- \sqrt{ 49-24 } }{-4}  = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
5 0
3 years ago
Read 2 more answers
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