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Wittaler [7]
3 years ago
14

Find the height of the tower.

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer:

1920

Step-by-step explanation:

i think sorry if wrong

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3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa
gregori [183]

Answer:

A sample of 17 must be selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation from a previous study is 4 hours.

This means that \sigma = 4

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

M = z\frac{\sigma}{\sqrt{n}}

2 = 2.054\frac{4}{\sqrt{n}}

2\sqrt{n} = 2.054*4

Simplifying both sides by 2:

\sqrt{n} = 2.054*2

(\sqrt{n})^2 = (2.054*2)^2

n = 16.88

Rounding up:

A sample of 17 must be selected.

8 0
3 years ago
2. Round off the decimal: (a) 3.153 to the nearest tenths (b) 10.126 to the nearest hundredths (c) 5.0014 to the nearest thousan
Monica [59]

Answer:

(a)3.15,(b)10.1,(c)5.0,(d)6.00,(e)21.8,(f)3.1

5 0
3 years ago
The container that holds the water for the football team is 2/9 full. After pouring in 12 gallons of water, it is 2/3 full. How
Luden [163]

Answer:

27 gallons

Step-by-step explanation:

Our equation is: \frac{2x}{9} +12 = \frac{2x}{3}

What do we need to find: x

We need to first find x, so lets find x first.

12 =  \frac{2x}{3}  -  \frac{2x}{9}

=> 12 = \frac{6x}{9} - \frac{2x}{9}

=> 12 = \frac{4x}{9}

=> x = 27

Lets go back to our equation.

\frac{2(27)}{9} +12 = \frac{2(27)}{3}

We are going to simplify this before solving this. We are going to get:\frac{54}{9} +12 = \frac{54}{3}

=> 18 = 18

Therefore, we found x and we checked that our x value is correct. Now, we need to find how many gallons can the container can hold.

\frac{3x}{3} = a                                                           [a = gallons can the container hold]

=> x = a

Basically that means the container can hold 27 gallons of water.

Please give me brainliest if this is helpful ;D

4 0
3 years ago
Read 2 more answers
A shoe store uses a ​50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a who
PSYCHO15rus [73]

Answer:

ummm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Is expression expression 3(x+1 1/2) - 3 equivalent to 3x+ 1 1/2
bazaltina [42]
Answer: 55 is the answer
8 0
3 years ago
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