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Vesna [10]
2 years ago
7

David's showerhead uses three gallons of water per minute. He wants to replace the showerhead with a new one that uses 40% less

water. How many fewer gallons of water would David use during a 10-minute shower with his new shower head?
Plz help
Mathematics
1 answer:
Brrunno [24]2 years ago
3 0

Answer:

12 gallons fewer

Step-by-step explanation:

3 gallons a minute means 30 gallons in 10 mins

40% less = 18l

new nozzle=18 liters in 10mins

meaning there is a 12 gallon difference

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You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You
Ber [7]

Answer:

Test statistic  Z = -1.0

 |Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

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

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

                        p = \frac{x}{n} = \frac{47}{382} = 0.1230

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

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

Test statistic

              Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

         Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }

       Z = - 1.0

     |Z| = |-1.0| < 1.96 at 0.05 level of significance.

<u><em>Final answer:-</em></u>

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

               

4 0
3 years ago
PLS HELPPP I HAVE NO IDEA WHICH ONE IT IS
Ne4ueva [31]

Answer:

2(t) or 2 * t

Step-by-step explanation:

Both of those are multiplying 2 and t, which is also what 2t means.

8 0
3 years ago
Put these numbers in order from least to greatest.
ddd [48]

Answer:

-21/35 is least

12/40 is semi-least

8 is semi-greatest

8-14/35 is greatest

8 0
3 years ago
The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?
Mnenie [13.5K]

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3.  2g of AlCl3 contains 9.034*10^21 molecules.

<h3>Number of Molecules in 2g of AlCl3</h3>

The molar mass of AlCl3 is given as 133.34g/mol

Data;

  • mass = 2g
  • molar mass = 133.34g/mol

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

133.34g = 6.023*10^2^3

If we equate this

133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

Learn more on mole concept here;

brainly.com/question/21150359

#SPJ1

5 0
2 years ago
1. Fill in the blanks for the rules for working with exponents:
natima [27]
1.a)add
B) substract
C) multiply
D) one

2) 1002=1.002×10^3

3)2.8×10^-3 < 2.5×10^-2 < 1.2×103 <4×103
5 0
3 years ago
Read 2 more answers
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