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ANTONII [103]
3 years ago
5

After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

I'm going to out on a limb and say 16 in.

4 pieces * 4 in. = 16

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5. Find the values of k that make 2x2 + kx + 11 factorable.
damaskus [11]
I hope this helps you

6 0
3 years ago
Read 2 more answers
Kyle ran the race in three and one hundred three thousandths seconds. Which number shows three and one hundred three thousandths
IRISSAK [1]

Answer:

Ran =3,103

Seconds = 1330

Step-by-step explanation:

I got this answer hope its right hope this helps: )

5 0
2 years ago
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300
Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, H_0 : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, H_1 : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

                 T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

           \hat p = percentage of residents who favor construction in a sample of

                  1300 voters = 0.57

           n = sample of voters = 1300

So, Test statistics = \frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }

                              = 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0
3 years ago
F(X)= 2x^2 +1. Find and simplify af(X)+b and f(ax+b)
kati45 [8]
Hello,

f(x)=2x²+1
f(ax+b)=2(ax+b)²+1=2(a²x²+2abx+b²)+1=2a²x²+4abx+2b²+1

af(x)+b=a(2x²+1)+b=2ax²+a+b

And f(ax+b)≠af(x)+b not linear
8 0
3 years ago
A train leaves Miami at 3:00pm. A second train leaves the same city in the same direction at 5:00pm. The second train travels 50
Alexxandr [17]
Let the speed of the first train be v mph. Then the speed of the second train is:
(v + 50) mph.
Distance traveled by the first train from 3pm to 7pm = 4v miles.
The second train travels 4v miles in 2 hours (from 5pm to 7pm). Therefore the speed of the second train = (4v)/2 = 2v.
However the speed of the second train is also given by (v + 50) mph.
v + 50 = 2v
v = 50.
The speed of the first train is 50 mph and the speed of the second train is 100 mph.
4 0
3 years ago
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