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3 years ago

What number increased by 62%, results in the value of 59.94

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

59.94 → 162%

x → 100%

solving the proportion gives you

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x = 5994/162

x= 37

Thus, the number is : x = 37

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Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

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2 years ago

A fish tank is 9 feet long how many inches is this?

Gnoma [55]

1feet = 12 incches so 12times by 9=108 inches

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3 years ago

3(t−2)=−1 What value of t t makes the following equation true?

pashok25 [27]

Answer:

t=5/3

Step-by-step explanation:

in order to get our answer, we have to first open it up which comes to 3t-6=-1

next,we have to isolate the variable, so we add (6) to (-1)

then we get 3t=5

so, t=5/3

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3 years ago

What is the answer to this?

PSYCHO15rus [73]

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

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3 years ago

A bag contains 4 red marbles and 5 blue marbles. If two marbles are chosen at random, one at a time and without replacement, wha

kari74 [83]

P(red) 4/9 on the first pull, P(red) 3/8 on the second pull
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6 0

2 years ago

Read 2 more answers