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Montano1993 [528]
3 years ago
12

Which number goes in the box to make this a true number sentence? 7 × (3 + 9) = 21 +

Mathematics
2 answers:
Bumek [7]3 years ago
4 0
7(3 + 9) = 7(3) + 7(9) = 21 + 63
LekaFEV [45]3 years ago
4 0
The number that would go in the box is 63.   7X12=21+63
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In order to estimate the proportion of all likely voters who will likely vote for the incumbent in the upcoming city’s mayoral r
LekaFEV [45]

Answer:

Yes, there is evidence that more than 50% of likely voters will likely vote for the incumbent.

Step-by-step explanation:

We are given that in order to estimate the proportion of all likely voters who will likely vote for the incumbent in the upcoming city’s mayoral race, a random sample of 267 likely voters is taken, finding that 65% state they will likely vote for the incumbent.​

The polling agency wishes to test whether there is evidence that more than 50% of likely voters will likely vote for the incumbent.

<em>Let p = proportion of  voters who will likely vote for the incumbent</em>

SO, <u>Null Hypothesis</u>, H_0 : p \leq 50%   {means that less than or equal to 50% of likely voters will likely vote for the incumbent}

<u>Alternate Hypothesis</u>, H_A : p > 50%   {means that more than 50% of likely voters will likely vote for the incumbent}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

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

where,  \hat p = sample proportion of voters who will likely vote for the incumbent in a sample of 267 voters = 65% or 0.65

            n = sample of voters = 267

So, <em><u>test statistics</u></em>  =   \frac{0.65-0.50}{{\sqrt{\frac{0.65(1-0.65)}{267} } } } }

                               =  5.139

<em>Since in the question we are not given the level of significance so we assume it to be 5%. Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the more than 50% of likely voters will likely vote for the incumbent. The strength of the evidence is 95%.

3 0
3 years ago
How many times longer is one kilometer than one meter?
Anit [1.1K]
One kilometre is 1000 times longer than one metre
8 0
3 years ago
Read 2 more answers
taxes for local school is 2.5 percent household earns $80,000 per year how much is school taxes per year?
babunello [35]
2.5% of 80,000
.025(80,000) = 2000
3 0
3 years ago
Read 2 more answers
PLEASE QUICK
posledela

9514 1404 393

Answer:

  • initial value: $20,000
  • after 11 years: $4,902

Step-by-step explanation:

Assuming your equation is ...

  v(t) = 20,000(0.88^t)

The value for t=0 is 20,000.

The value for t=11 is 20,000(0.88^11) ≈ 4,902.

The initial value is $20,000; the value after 11 years is $4,902.

5 0
3 years ago
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. if erica has at most $10 to spend on the cab ride, how f
dmitriy555 [2]
Erica can travel 12 miles
10
+1.75
8.25 
Then you take 8.25 and divide by the additional cost
8.25/0.65=12
So, your final answer is 12 :)
8 0
3 years ago
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