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Korolek [52]
3 years ago
5

A teacher wants to bring her children to see a play. Each ticket costs $55. Per ticket has a $2 handling and parking was $6.50.

Her total cost was $405.50. How many tickets did she buy?
Mathematics
1 answer:
Leni [432]3 years ago
8 0
She bought 7 tickets.
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The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

<u><em>Step(ii):-</em></u>

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
Simplify and solve each equation for the x
SpyIntel [72]

Answer:

x = 2

Step-by-step explanation:

2(2x+1-x)=6

2(x+1)=6               add common factors

2x+2=6                distribute the 2

2x=4                     subrtract 2 on both sides

x=2                        divide 2 on both sides

8 0
3 years ago
Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposi
victus00 [196]

Answer:

Tamara earns $2,050 each month.

She spends 65% of that, so the amount that she spends is:

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Then the amount that she has left is:

R = $2,050 -  $1,332.50 = $717.50

Now she divides that in half, and deposits those amounts in two separate accounts.

She deposits $717.50/2 = $358.75 in each acount.

Then she deposits $358.75 per month, so after x months she has:

x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:

x*$358.75 = $2,500

x = $2,500/$358.75 = 6.96

So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:

After 10 months Tamara has deposited more than 2,500 in one of her accounts.

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Tanya [424]

14(4)÷(7)+5(17)-3 please help

218

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