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34kurt
3 years ago
11

1. 7 + 5x = 3 - 2x and 7 + 7x = 3 Are they equivalent, if so what is X

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer: They are equivalent, and x = -4/7

Step-by-step explanation:

Fist we need to see what the answers to each of these equations are

7 + 5x = 3 - 2x

Subtract 7 on each side

5x = -4 - 2x

Add 2x

7x = -4

X = -4/7

Now the second one

7 + 7x = 3

Subtract 7

7x = -4

X = - 4/7

They are equal and x = -4/7

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A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac
Tju [1.3M]

Answer:

We reject H₀  the actual percentage of type A donations differs from 40%

Step-by-step explanation:

Sample information:

sample size   n = 146

Type A   x₁  =  81   and   p₁  = 81 / 146     p₁  =  0,5547

then  q₁   =  1 - p₁    q₁  =  1  -  0,5547    q₁  =  0,4453

We choose as significance level  α  = 5%  α = 0,05   α /2  = 0,025

from z-table we find   z (c) = 1,96

National % of the population  ( μ  = 40 %  μ = 0,4 )

Test hypothesis

Null hypothesis                           H₀           p₁  =  μ

Alternative Hypothesis              Hₐ           p₁   ≠ μ

The Alternative hypothesis indicates that the test is a two-tail test

z(s) =  ( p₁  -   μ )/ √ p₁*q₁ / n

z(s) =  ( 0,5547  -  0,40 )/ √ 0,5547*0,4453 / 146

z(s) =  0,1547 / 0,041

z(s) = 3,77

Comparing  z(s)  and z(c)

z(s) > z(c)  

z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population

6 0
3 years ago
28. What is the maximum number of real roots
attashe74 [19]
The maximum number of real roots is 5 because the degree is 5. The fundamental theorem of algebra states that the degree of a polynomial is the number of real solutions. (The degree is the highest exponent of the polynomial)
6 0
3 years ago
Solve for xxx. Enter the solutions from least to greatest. (x -7)(-4x -2)=0(x−7)(−4x−2)=0left parenthesis, x, minus, 7, right pa
Lady bird [3.3K]

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

6 0
3 years ago
Angela practices piano for 5 hours on Sundays amd for 3 hours on all other days of the week. How many hours doea Angela practice
Kitty [74]

Answer:8 x 365=2920

Step-by-step explanation:

First, you add 5 + 3 which equals 8. Then there is 365 days in a year so you would multiply 8 times 365 which equals 2920.

Pretty sure this is right, hope it helps.

7 0
3 years ago
Please Help!!!
marishachu [46]
The second one, and you as well ☺️
8 0
3 years ago
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