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fiasKO [112]
3 years ago
13

Tom exercised 4/5 hour on monday and 5/6 hour on tuesday. Complete the calculations below to write equivalent fractions with a c

ommon denominator
Mathematics
1 answer:
stepladder [879]3 years ago
7 0
4/5= 24/30 5/6= 25/30 Equals in all= 1 19/30
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A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o
Eduardwww [97]

Answer:

(A)  H_0 : μ = 22 ; H_A : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, H_0 : \mu = 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, H_A : \mu \neq 22 ounces  {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

             T.S. = \frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = sample mean weight of the passion fruit juice = 21.54 ounces

            \sigma = population standard deviation = 1.38 ounces

            n = sample of bottles = 65

(B) So, <u>test statistics</u> =  \frac{21.54-22}{\frac{1.38}{\sqrt{65} } }

                                  = -2.69

Hence, the value of test statistics is -2.69.

6 0
3 years ago
What is 4 5/13 as a decimal rounded to the nearest tenth
MAXImum [283]

Answer:

4.4

Step-by-step explanation:

4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...

Answer: 4.4

5 0
3 years ago
Read 2 more answers
Help Me With This Please
Cerrena [4.2K]
8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°

9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°

P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°

10. B is two more than three times of C so B= 3C+2
complementary angles = 90°

B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
8 0
3 years ago
(10100)2-(111)2<br>binary subtraction <br>plz show process ​
statuscvo [17]

Step-by-step explanation:

  • (10100)2-(111)2
  • (1101)2

stay safe healthy and happy.

7 0
2 years ago
Answer is 60. Plz step by step explanation !! I'm in urgent !! Thank you​
Aleks04 [339]

Answer:

60°

Step-by-step explanation:

ABCO is a parallelogram (opposite sides are parallel).

AO is equal to the radius of the circle, so BC must also equal the radius.

CO is equal to the radius of the circle, so AB must also equal the radius.

If we draw a line from O to B, we split the parallelogram into two triangles.  Since OB is equal to the radius of the circle, each triangle is an equilateral triangle.  Therefore, angle A is 60°.

8 0
3 years ago
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