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BaLLatris [955]
3 years ago
7

A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats coast $45 each and regular

seats coast $34 each. All of the theaters 75 preferred seats were sold out that evening. How many tickets were sold?
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
P=preferred seats
r=regular seats
45*p+34*r=8917
p=75
45*75+34r=8917
3375+34r=8917
34r=5542
r=163

All ticket sales=r+p=75+163=238
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Which is another way to check the sum of 104+34+228+877?
Alex787 [66]
The answer is digit sum method.

Digit sum method is method used to check the sum of sum numbers. If the sum of all of the digits of numbers is equal to the sum of all of the digits of the total sum, then the arithmetic process was correct.

We need to check the sum of <span>104+34+228+877:
</span>104 + 34 + 228 + 877 = 1243

Let's first summarize the digits of individual numbers:
104 *** 1 + 0 + 4 = 5
34 *** 3 + 4 = 7
228 *** 2 + 2 + 8 = 12 *** 1 + 2 = 3
877 *** 8 + 7 + 7 = 22 *** 2 + 2 = 4

Now, let's sum these sums:
5 + 7 + 3 + 4 = 19 *** 1 + 9 = 10 *** 1 + 0 = <u><em>1</em></u>

Then, let's summarize the digits of the total sum:
1243 *** 1 + 2 + 4 + 3 = 10 *** 1 + 0 = <u><em>1</em></u>

Since the sums of the digits on the both sides of equation is 1, than the arithmetic process was correct and the sum of <span>104 + 34 + 228 + 877 is really 1243.</span>

7 0
3 years ago
If the Circumference of a circle is 12 cm, what is the circles Diameter? Please help thankss!
BARSIC [14]

Answer:

Step-by-step explanation:

Circumference = πd = 12

d = 12/π cm

5 0
3 years ago
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AlladinOne [14]

Answer:

answer: 5x + 10

Step-by-step explanation:

The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x

But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.

The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10

3 0
3 years ago
What is the slope of the line shown below?
Thepotemich [5.8K]

Answer:

○ A. \frac{6}{5}

Step-by-step explanation:

Starting from the y-intercept of [0, 5], you do \frac{rise}{run}by either moving six blocks <em>south</em><em> </em>over five blocks <em>west</em><em> </em>or six blocks <em>north</em><em> </em>over four blocks <em>east</em><em> </em>[<em>west</em><em> </em>and <em>south</em><em> </em>are negatives].

I am joyous to assist you anytime.

3 0
3 years ago
A marketing research firm wishes to compare the prices charged by two supermarket chains—Miller’s and Albert’s. The research fir
AVprozaik [17]

Answer:

a) F=\frac{s^2_2}{s^2_1}=\frac{1.84^2}{1.4^2}=1.727 \approx 1.73

b) For this case since we have a two tailed test we have two critical values, and we can find the two values since we need that on each tail the area would be \alpha/2 =0.025, the distribution is the F with 9 df for the numerator and denominator, and we can use the following excel codes to find the critical values:

"=F.INV(0.025,9,9)"

"=F.INV(1-0.025,9,9)"

The two critical values are 0.248 and 4.026, so the rejection zone would be: F>4.026 \cup F since our calculated value is not on the rejection zone we fail to rejec the null hypothesis

Step-by-step explanation:

Data given and notation  

n_1 = 10 represent the sampe size for the Miller's Stores

n_2 =10 represent the sample size for the Albert's stores

\bar X_1 =121.92 represent the sample mean for Miller's store

\bar X_2 =114.81 represent the sample mean for Albert's store

s_1 = 1.4 represent the sample deviation for the Miller's store

s_2 = 1.84 represent the sample deviation for the Albert's stores

s^2_2 = 12.25 represent the sample variance for the utility stocks

\alpha=0.05 represent the significance level provided

Confidence =0.95 or 95%

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

F=\frac{s^2_2}{s^2_1}

Solution to the problem  

System of hypothesis

We want to test if the variation for th two groups is the same, so the system of hypothesis are:

H0: \sigma^2_1 = \sigma^2_2

H1: \sigma^2_1 \new \sigma^2_2

a) Calculate the statistic

Now we can calculate the statistic like this:

F=\frac{s^2_2}{s^2_1}=\frac{1.84^2}{1.4^2}=1.727 \approx 1.73

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have n_1 -1 =10-1=9 and for the denominator we have n_2 -1 =10-1=9 and the F statistic have 9 degrees of freedom for the numerator and 9 for the denominator. And the P value is given by:

P value

p_v =2*P(F_{9,9}>1.727)=0.428

And we can use the following excel code to find the p value:"=2*(1-F.DIST(1.727,9,9,TRUE))"

b) Critical value

For this case since we have a two tailed test we have two critical values, and we can find the two values since we need that on each tail the area would be \alpha/2 =0.025, the distribution is the F with 9 df for the numerator and denominator, and we can use the following excel codes to find the critical values:

"=F.INV(0.025,9,9)"

"=F.INV(1-0.025,9,9)"

The two critical values are 0.248 and 4.026, so the rejection zone would be: F>4.026 \cup F since our calculated value is not on the rejection zone we fail to rejec the null hypothesis

Since our calcu

Conclusion

Since the p_v > \alpha we have enough evidence to FAIL to reject the null hypothesis. And we can say that we don't have enough evidence to conclude that the two deviations are different at 5% of significance.  

8 0
3 years ago
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