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dusya [7]
3 years ago
6

Rewrite the equation 6x + 7y = 14 into slope-intercept form (y = mx + b)

Mathematics
2 answers:
VikaD [51]3 years ago
7 0

Answer:

y=2-6/7x

Step-by-step explanation:

6x+7y=14

-6x        -6x

7y=14-6x

7y=14-6x-- then divide by 7

y=2-6/7x

abruzzese [7]3 years ago
5 0

Answer:

Look at the attachment

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kkurt [141]
X=3 I’m pretty shure
8 0
3 years ago
Maria Krisp, a licensed physical therapist assistant, earns an hourly
Masteriza [31]

9514 1404 393

Answer:

  • straight time: $699.20
  • overtime: $165.60
  • total pay: $864.80

Step-by-step explanation:

(a) Maria's straight time pay is ...

  (38 h)×($18.40 /h) = $699.20

__

(b) Maria's overtime pay is ...

  (6 h)×(1.5×$18.40 /h) = $165.60

__

(c) Her total pay is the sum of her straight time pay and her overtime pay:

  $699.20 +165.60 = $864.80

8 0
3 years ago
Simplify the expression. Write your answer as a power.5^8<br> 5^5​​
IgorC [24]

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

4 0
3 years ago
Read 2 more answers
The owner of a construction company would like to know if his current work teams can build room additions quicker than the time
frez [133]

Answer:

The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

Step-by-step explanation:

We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.

The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

H_0: \mu=0\\\\H_1: \mu

The significance level, as a storng evidence is needed, is α=0.01.

The estimated standard deviation is:

s_M=\frac{s}{\sqrt{n}}=\frac{0.2}{\sqrt{16}} =0.2/4=0.05

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.

For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.

Then, we calculate the t-value for this sample:

t=\frac{x-\mu}{s_M} =\frac{-0.32-0}{0.05}= -6.4

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.

8 0
4 years ago
A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The St
bogdanovich [222]

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

4 0
3 years ago
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