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swat32
3 years ago
15

The distributive property can be applied to which expression to factor 12x3 - 9x2 + 4x - 3?

Mathematics
1 answer:
Len [333]3 years ago
4 0

Answer: 3x^2(4x-3)+1(4x-3)

Step-by-step explanation:

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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Tanzania [10]

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

4 0
4 years ago
Mario has a number cube with sides numbered 1 through 6. He rolls the number cube twice. He rolls an odd number on the first rol
Anettt [7]
1/2 because there are 3 odd numbers on a number cube and 6 numbers in total and 3/6 simplified is 1/2
7 0
3 years ago
The straight line joining points A(p,3) and B(1,-1) has length 5, workout the value of p
Alborosie

Answer:

d^2 = <y2-y1>^2 + <x2 -x1) ^2

so

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7 0
2 years ago
Translate "a number is at least 32" into an inequality.
tino4ka555 [31]

Answer:

x\geq32

Step-by-step explanation:

"A number at least 32"

Let's use x as the number

x\geq32

Reason: at least means greater than or equal to

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Answer:

2/3 and 4/6

Step-by-step explanation:

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