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julia-pushkina [17]
2 years ago
9

Fill in the table for the exponential function given f(x)=3(2)^n

Mathematics
1 answer:
mina [271]2 years ago
6 0

Answer:

A = 3/2

B = 3

C = 6

D = 12

Step-by-step explanation:

Simply plug it in. When you have a negative exponent, you basically switch the sign of the exponent and put a one over the number itself.

  • So we have 2^-1. This is the same as 3(\frac{1}{2^1}) =3( \frac{1}{2}) = \frac{3}{2} = a
  • Now do 3(2^0) = 3 = b
  • Then do 3(2^1) = 6 = c
  • Finally do 3(2^2) = 12 = d
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To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

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Marlee will have 21.05 inches of wire left, here is why;
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Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
0.5s +1=7 + 4.5s<br> S =
kvv77 [185]

Answer:

s = -\frac{3}{2}

Step-by-step explanation:

Solve for the value of s :

0.5s + 1 = 7 + 4.5s

-Combine both 0.5s and 4.5s by subtracting 0.5s by 4.5s :

0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s

-4s + 1 = 7

-Subtract 1 to both sides:

-4s + 1 - 1 = 7 - 1

-4s = 6

-Divide both sides by -4 :

\frac{-4s}{-4} = \frac{6}{-4}

s = -\frac{3}{2}

So, the value of s is -\frac{3}{2}.

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3 years ago
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