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Korvikt [17]
3 years ago
7

The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

e in the sample was 31 years with a standard deviation of 3.8 years. The Margin of error of the 99% confidence interval for the average age of the consumers is
Mathematics
1 answer:
valina [46]3 years ago
5 0

Step-by-step explanation:

d_f=25-1=24

critical t value=tinv (0.05,24)=2.064

Margin of error=2.064×(3.8/sqrt(25))=1.86

99% confidence interval for mean

=22.5+/-1.86

=(20.64, 24.36)

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Cosx=4/5 what is sin2x cos2x and tan2x
earnstyle [38]

Answer:

-24/5

Step-by-step explanation:

The solution to the problem is as follows:

cscx < 0 means 1/sinx < 0, or sinx < 0.  

sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established

sinx is negative.  

sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25  

cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5  

tan2x = sin2x / cos2x = -24/5

4 0
3 years ago
PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS. IT IS DUE TOMORROW!!!
Vladimir79 [104]

Answer:

Line CA is parrallel to Line HR and Line MC is parallel to line HA.

Step-by-step explanation:

This is because Angle CAM and Angle HAR are equal. Also because Angle CMA and Angle HAR are equal because Angle CAM and Angle HAR are equal.

3 0
3 years ago
What is the HCF and LCM of the following terms: a^2 + 4ab + 4b^2 - c ^ 2 AND a^2 - 4b^2 + ac - 2bc
Elena L [17]

Answer:

Malaysian artisans rarely used humans or animals as motifs because Islam

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7 0
3 years ago
Combine like terms to create an equivalent expression 2/5m- 4/5 -3/5
scoray [572]

Answer:

2/5m - 7/5

Step-by-step explanation:

Combine the like terms (-4/5 and -3/5)

5 0
4 years ago
Stephanie is making beef for a party the recipe uses 1 1/2 teaspoons of pepper, 3 2/4 teaspoons of garlic powder 1/8 teaspoons o
Arisa [49]

<u><em>Answer:</em></u>

<u>She will use:</u>

3 tablespoons of pepper

7 tablespoons of garlic powder

\frac{1}{4} tablespoon of thyme

8 tablespoons of onion powder

<u><em>Explanation:</em></u>

To double the amount, Stephanie will need to double the amount of each ingredient used. This means that she will multiply each amount by 2

<u>Therefore:</u>

New amount of any ingredient = old amount of that ingredient x 2

<u>This means that:</u>

New amount of pepper = 1\frac{1}{2}*2= 3 tablespoons

New amount of garlic powder = 3\frac{2}{4}*2=7 tablespoons

New amount of thyme = \frac{1}{8}*2=\frac{1}{4} tablespoons

New amount of onion powder = 4*2=8 tablespoons

Hope this helps :)

8 0
4 years ago
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