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S_A_V [24]
1 year ago
13

what is the x-intercept of 3y=2x-6 please also show steps this is due in a few minutes !!!!

Mathematics
1 answer:
gizmo_the_mogwai [7]1 year ago
3 0
Get y on one side.

So divide 3 on both sides.

Y=2/3x-2
Let y be equal to 0.

0=2/3x-2

Add 2 on both sides

2=2/3x

Then divide 2/3 on both sides so x is by itself.


Which is 3
So x=3
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A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual
atroni [7]

Complete question is;

A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment. Is there evidence of a decrease in the proportion of

tomatoes suffering frost damage for tomatoes sprayed with kelp extract? To determine

this, yo u test the hypotheses H0: p1 = p2, Ha: p1 < p2. The p - value of your test is

A) greater than 0.10.

B) between 0.05 and 0.10.

C) between 0.01 and 0.05.

D)between 0.001 and 0.01.

E) below 0.001.

Answer:

B) between 0.05 and 0.10.

Step-by-step explanation:

We are given;

Number of plants in group that exhibited damage = 12

Number of group 1 plants; n₁ = 50

Number of plants in group 2 that exhibited damage = 18

Number of group 2 plants; n₂ = 50

Proportion of plants in group 1 that exhibited damage; p₁^ = 12/50 = 0.24

Proportion of plants in group 2 that exhibited damage; p₂^ = 18/50 = 0.36

Pooled proportion; p¯ = (12 + 18)/(50 + 50) = 0.3

q¯ = 1 - p¯

q¯ = 1 - 0.3 = 0.7

Z-score will be;

z = ((p₁^ - p₂^) - 0)/√((p¯•q¯)×((1/n₁) + (1/n₂))

Plugging in the relevant values;

z = (0.24 - 0.36)/√((0.3 × 0.7) × ((1/50) + (1/50))

z = -0.12/0.092

z = -1.3

From z-distribution table attached, we have;

p-value = 0.0968

Correct answer is option B.

8 0
2 years ago
Write an indirect proof showing that the diagonals of a parallelogram intersect each other
____ [38]
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove 
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261


Since, we assumed that the diagonals dont bisect each other, 
OC≠OA 
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261

∠AOD≅∠BOC as they are vertical angles, 
∠OAD≅∠OCB they are alternate interior angles 
AD≅BC, by definition of parallelogram 
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
4 0
3 years ago
Need to find the direction angle for each vector. #10 and #12 please!
crimeas [40]

Answer:

10)  - 45 degrees

12)  0 degrees

Step-by-step explanation:

10)

Find the x and y components that define the vector that joins C with D:

x-component: -4 - (-8) = - 4 + 8 = 4

y-component:  4 - 8 = -4

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{-4}{4}  = -1\\\theta = -45^o

12)

Find the x and y components that define the vector that joins A with B:

x-component: 7 - 4 = 3

y-component:  - 1 - (-1) = -1 + 1 = 0

use the tangent function to find the angle \theta:

tan(\theta)=\frac{y-comp}{x-comp}=\frac{0}{3}  = 0\\\theta = 0^o

5 0
3 years ago
Ruth is making a necklace for a friend . she has 3 different types of clasps, 2 different chains , and 5 different cnarms. if sh
natita [175]
The answer I think  is D)30 because they want to know how many she can make so just multiple 5*2*3 
8 0
3 years ago
3w-13w= -20???????????
Akimi4 [234]
3w-13w=-20

Combine like terms

-10w=-20

divide both sides by -10

w=2
5 0
2 years ago
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