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Ostrovityanka [42]
3 years ago
13

Factor as the product of two binomials. 9 - 6x + x^2

Mathematics
2 answers:
Masja [62]3 years ago
3 0
It is
(3-x)^2
i made sure it correct this time
sammy [17]3 years ago
3 0

Answer:

<em>(x - 3)^2</em>

Step-by-step explanation:

9 - 6x + x^2 =

= x^2 - 6x + 9

You need two numbers whose product is 9 and whose sum is -6. The numbers are -3 and -3.

= (x - 3)(x - 3)

= (x - 3)^2

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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

8 0
3 years ago
What makes "24" using the numbers "4 4 6 5"
pashok25 [27]

Answer:

4 and 6

Step-by-step explanation:

4 and 6

8 0
3 years ago
Read 2 more answers
claret purchased 2 handbags and a wallet the cost of each handbag was $10 more then the wallet if she spent a total of $60 for t
faust18 [17]
The cost of the two bags is 25
8 0
3 years ago
The product of two exponentail expressionss is x5 y2 z. One of the expressions is x2 y. What is the other expression?
Yakvenalex [24]
I hope this helps you



x^5.y^2.z/x^2.y


x^5-2.y^2-1.z


x^3.y.z
8 0
3 years ago
Read 2 more answers
What is the solution set?<br><br> A.) (0, -2)<br> B.) (2, 0)<br> C.) (7, 0)<br> D.) (5, 3)
max2010maxim [7]

Answer:

D.) (5, 3)

Step-by-step explanation:

Solution is where two lines intersect

Both lines intersect at x = 5 and y = 3

Answer

D.) (5, 3)

8 0
3 years ago
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