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Sloan [31]
1 year ago
7

Find the P​-value in a test of the claim that the mean IQ score of acupuncturists is equal to​ 100, given that the test statisti

c is z2.00.

Mathematics
1 answer:
klemol [59]1 year ago
7 0

Answer:

P-value = 0.0455

Step-by-step explanation:

In this question, we are concerned with calculating the P- value in a test.

Mathematically we know that;

P-value = 2 * P(Z > |z|)

Please check attachment for complete solution and by step explanation

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If four men need $24.00 worth of food for a three-day camping trip, how much will two men need for a two-week trip?
Vitek1552 [10]
$56 because  24 divided by 4 men divided by 3 days=2 times 14 days times 2 men=56
3 0
2 years ago
Read 2 more answers
Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi
puteri [66]
The picture in the attached figure

we know that
area of a sector=(∅*pi/360°)*r²--------> when ∅ is in degree

in this problem
∅=120°
r=4 units
so
area of a sector=(120°*pi/360°)*4²-------> (120°/360°)*(16*pi) units²

The <span>expressions to find the area of the shaded sector is
</span>(120°/360°)*(16*pi) units²

(1/3)*(16*pi)----> (16/3)*pi units²

the area of the shaded sector is  (16/3)*pi units²

8 0
2 years ago
Write an equation in slope intercept form for the line that contains the given point and is parrallel to the given line (0,4),Y=
Ilya [14]

Answer:

y = ½x + 4

Step-by-step explanation:

4 = ½[0] + b

0

4 = b

Parallel lines have SIMILAR <em>RATE</em><em> </em><em>OF</em><em> </em><em>CHANGES</em><em> </em>[<em>SLOPES</em>], so the 4 remains in the <em>m</em><em> </em>spot, plug in the ordered pair into the equation, then solve for <em>b</em><em>.</em><em> </em>This is your new equation once done:

y = ½x + 4

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I have a video that explains how to find perpendicular and parallel lines of given lines. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". Watch and gain alot more knowledge, so you can be one of the best of the best.

4 0
2 years ago
Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , p
Nimfa-mama [501]

Answer:

<h2>One kilogram of oranges cost $3.</h2>

Step-by-step explanation:

The problem states

  • 1 kilogram of bananas costs as much as 2 kilograms of oranges. (1 \ kg \ bananas = 2 \ kg  \ oranges)
  • 30 kilograms of oranges plues 45 kilograms of bananas cost $360.

Let's call x one kilogram bananas and y one kilogram oranges. The cost is related by

x=2y

Also, we know by given

45x+30y=360

Replacing the first equation into the second one, we have

45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3

Then, we find the other value

x=2(3)=6

Therefore, one kilogram of oranges cost $3.

5 0
1 year ago
A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. Find the lengths of the median o
nexus9112 [7]

Answer:

5/2units\\.

\sqrt{47/2}units \\.

\sqrt{41/2}units\\.

Step-by-step explanation:

The given points are A(1,2,3), B(-2,0,5) and C(4,1,5). The triangle is represented in the attach file where the three possible median are length AE, BF, and CD. We determine the coordinate of point D,E and F using the midpoint equation which is for any point A(x,y,z) and point B(a,b,c), the midpoint D is determine by

D=(\frac{x+a}{2},\frac{y+b}{2},\frac{z+c}{2})\\.

Hence going by the above formula we determine the coordinate of point D,E and F

D=(\frac{-2+1}{2},\frac{0+2}{2},\frac{5+3}{2})\\.

D=(\frac{-1}{2},1,4)\\.

point E

E=(\frac{4-2}{2},\frac{1+0}{2},\frac{5+5}{2})\\.

E=(1,\frac{1}{2},5)\\.

Point F

F=(\frac{4+1}{2},\frac{1+2}{2},\frac{5+3}{2})\\.

F=(\frac{5}{2},\frac{3}{2},4)\\.

To determine the length of each median line we use the formula for distance between two points which is express as

AB=\sqrt{(y_{2}-y_{1} )^{2} +(x_{2}-x_{1} )^{2}+(z_{2}-z_{1} )^{2}} \\.

Using the above formula we determine the length of line AE,BF and CD.

AE=\sqrt{(1-1 )^{2} +(1/2-2)^{2}+(5-3 )^{2}} \\.

AE=\sqrt{0 +9/4+4} \\.

AE=\sqrt{25/4} \\.

AE=5/2units\\.

For point BF

BF=\sqrt{(5/2+2 )^{2} +(3/2-0)^{2}+(4-5 )^{2}}\\.

BF=\sqrt{81/4 +9/4+1} \\.

BF=\sqrt{47/2} \\.

BF=\sqrt{47/2}units \\.

For point CD

CD=\sqrt{(-1/2-4 )^{2} +(1-1)^{2}+(4-5 )^{2}}\\.

BF=\sqrt{81/4 +0+1} \\.

BF=\sqrt{41/2} \\.

BF=\sqrt{41/2}units\\.

7 0
1 year ago
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