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Elden [556K]
2 years ago
7

To amend a country's constitution 7/9 of the 69 states in that country must approve the amendment. If 52 states approve an amend

ment will the constitution be amended
Mathematics
1 answer:
KatRina [158]2 years ago
8 0

Answer:

Constitution will not be amended.

Step-by-step explanation:

To amend the country's constitution, number of states should approve the amendment = \frac{7}{9} of 69

= \frac{7}{9}\times 69

= 53.67

≈ 53 states

But the states who approved the amendment = 52

And 52 < 53

Therefore, constitution will not be amended.

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Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
Andrej [43]

Answer:

The answer is D) 12

Step-by-step explanation:

Multiple 4 by 3

8 0
3 years ago
Use the grouping method to factor the polynomial below completely 3x^3+9x^2+5x+15​
Tomtit [17]

Answer:

(x+3)( 3x^2 +5)

Step-by-step explanation:

3x^3+9x^2+5x+15​

Split into two groups

3x^3+9x^2     +5x+15​

Factor 3x^2 out of the  first group and 5 out of the second group

3x^2 ( x+3)  + 5(x+3)

Factor out x+3

(x+3)( 3x^2 +5)

6 0
3 years ago
What is 160/11 as a whole number
Andrej [43]

Answer:

14 6/11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The table represents a function.
garri49 [273]

Answer: -8

Step-by-step explanation:

When x = 5, f(x) = -8.

4 0
2 years ago
An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6
Natali [406]

Answer:

She must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.

Step-by-step explanation:

We are given that an engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm.

And she considers to be 90% sure of knowing the mean will be within ±0.1 mm.

As we know that the margin of error is given by the following formula;

The margin of error =  Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }  

Here, \sigma = standard deviation = 3.6 mm

         n = sample size of components

         \alpha = level of significance = 1 - 0.90 = 0.10 or 10%

         \frac{\alpha}{2} = \frac{0.10}{2} = 0.05 or 5%

Now, the critical value of z at a 5% level of significance in the z table is given to us as 1.645.

So, the margin of error =  Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }  

                  0.1 mm        =  1.645 \times \frac{3.6}{\sqrt{n} }

                    \sqrt{n} =  \frac{3.6\times 1.645}{0.1 }

                    \sqrt{n} = 59.22

                     n = 59.22^{2} = 3507.0084 ≈ 3507.

Hence, she must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.

8 0
3 years ago
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