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Aleksandr [31]
3 years ago
6

Solve for z. a(t+z)=45+47

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

z = (92/a) - t is your answer

Step-by-step explanation:

Isolate the z. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, combine like terms

45 + 47 = 92

First, divide a from both sides

(a(t + z))/a = (92)/a

t + z = 92/a

Isolate the z. Subtract t from both sides

t (-t) + z = (92/a) - t

z = (92/a) - t is your answer

~

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genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
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kkurt [141]

Answer:

A. The area of the park is 251015.62 m squared.

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5 0
2 years ago
35 points!! Only comment if you really know the answer please.
hodyreva [135]
Y = 3x - 1 ---- (1)
x - y = -9  ---- (2)

From Equation 2:
x - y = - 9
x + 9 = y 
y = x + 9 --- (2a)

(1) - (2a):
0 = 3x - x - 1 - 9
0 = 2x - 10
2x - 10 = 0
2x = 10
x = 5 ---- sub into (1)

y = 3(5) - 1 
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4 years ago
A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more
bearhunter [10]

Answer:

b

Step-by-step explanation:

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3 0
3 years ago
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What is 1 4/10 + 2 2/10
telo118 [61]
1+2=3. 4/10+2/10=6/10. 3+ 6/10=3 6/10
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