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Reika [66]
3 years ago
9

Which of the following could be the first step in solving this problem? 9(12-3)+4

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0
Using P.E.M.D.A.S. ( parentheses exponent multiply divide add subtract ) you would multiply the nine into the parentheses
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Meteorologists in Texas want to increase the amount of rain delivered by thunderheads by seeding the clouds. Without seeding, th
Dafna11 [192]

Answer:

<em>There is no significant difference in the amount of rain produced when seeding the clouds.</em>

Step-by-step explanation:

Assuming that the amount of rain delivered by thunderheads follows a distribution close to a normal one, we can formulate a hypothesis z-test:

<u>Null Hypothesis </u>

\bf H_0: Average of the amount of rain delivered by thunderheads without seeding the clouds = 300 acrefeet.

<u>Alternative Hypothesis </u>

\bf H_a: Average of the amount of rain delivered by thunderheads by seeding the clouds > 300 acrefeet.

This is a right-tailed test.

Our z-statistic is  

\bf z=\frac{370.4-300}{300.1/\sqrt{30}}=1.2845

We now compare this value with the z-critical for a 0.05 significance level. This is a value \bf z^* such that the area under the Normal curve to the left of \bf z^* is less than or equal to 0.05

We can find this value with tables, calculators or spreadsheets.

<em>In Excel or OpenOffice Calc use the function </em>

<em>NORMSINV(0.95) </em>

an we obtain a value of  

\bf z^* = 1.645

Since 1.2845 is not greater than 1.645 we cannot reject the null, so the conclusion that can be drawn when the significance level is 0.05 is that there is no significant difference in the amount of rain produced when seeding the clouds.

8 0
3 years ago
At the movie theatre, child admission is $6.30 and adult admission is $9.90 . On Monday, 159 tickets were sold for a total sales
frez [133]
C = child tickets
a = adult tickets

Solve this with the substitution method.
Make two equations:

6.30c + 9.90a = 1,246.50
c + a = 159

Solve for c.
Subtract 9.90a from both sides.

6.30c = 1,246.50 - 9.90a
Divide both sides by 6.30.

c = 197.86 - <span>1.57a (rounded to hundredths)
Plug c into second equation.

</span>197.86 - 1.57a + a = 159
Combine like terms.

197.86 - 0.57a = 159
Subtract 197.86 from both sides.

-0.57a = -38.86
Divide both sides by -0.57.

a = <span>68.18
round up to ones: 68

</span>\boxed {68~adult~tickets} were sold.<span>
</span>
8 0
3 years ago
You are charged $19.74 in total for a meal. Assuming that the local sales tax is 6.4%,
Ivan

18.47Answer:

Step-by-step explanation:

4 0
3 years ago
20% more than 80 is ?
Diano4ka-milaya [45]

20% more than 80:

80 + 20% of 80

80 + 20/100 × 80

80 + 16

= 96

7 0
3 years ago
If 2 gallons of paint are needed to paint 3,000
IgorLugansk [536]

Answer:10 gallons are needed to paint 15,000 square feet of wall.

Step-by-step explanation:

3,000/2=1,500

15,000/1,500=10 gallons

6 0
3 years ago
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