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3 years ago

Translate into a variable expression. fifteen more than one-half of the square of z

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer:

15 +(1/2)X z²

this is your expression plz brainlist me and follow me

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A researcher studied the radioactivity of asbestos. She sampled 81 boards of asbestos, and found a sample mean of 193.2 bips, an

Ksivusya [100]

Answer:

a) Confidence interval is (182.86,203.54).

b) (i) Yes, 200 bips is a true mean as it lie in the interval.

(ii) No, 210 bips is not a true mean as it doesn't lie in the interval.

Step-by-step explanation:

Given : A researcher studied the radioactivity of asbestos. She sampled 81 boards of asbestos, and found a sample mean of 193.2 bips, and a sample standard deviation of 49.5 bips.

To find : (a) Obtain the 94% confidence interval for the mean radioactivity. (b) (i) According the interval that you got, is 200 bips a plausible value for the true mean? (ii) What about 210 bips?

Solution :

a) The confidence interval formula is given by,

$\bar{x}-z\times \frac{\sigma}{\sqrt{n}}$

We have given,

The sample mean $\bar{x}=193.2$ bips

s is the standard deviation $\sigma=49.5$ bips

n is the number of sample n=81

z is the score value, at 94% z=1.88

Substitute all the values in the formula,

$193.2-1.88\times \frac{49.5}{\sqrt{81}}$

$193.2-1.88\times 5.5$

$193.2-10.34$

$182.86$

Confidence interval is (182.86,203.54).

b) (i) According the interval $182.86$

200 bips a plausible value for the true mean as it lies in the interval.

(ii) 210 bips not lie in the confidence interval so it is not a true mean.

3 0

3 years ago

The sum of Thalia and her brother's age is 41. If Thalia is three years older than her brother, how many years old is Thalia?

LekaFEV [45]

Answer:

the thalia age be 19 years

Step-by-step explanation:

Let us assume her brother age be x

Now the thalia age be x - 3

Now the equation would be

x + x - 3 = 41

2x = 41 + 3

2x = 44

x = 22

thalia age be

= 22 - 3

= 19

Hence, the thalia age be 19 years

And, her brother age be 22 years

The same is to be considered

4 0

3 years ago

The population of rabbits in a national forest is modeled by the formula P= 12,000 + 1000 (t+1) where t is the number of years f

V125BC [204]

In this formula, 1000(t+1) represents the growth rate of the rabbits. We want the number right now, so sub in 0 for t.

P=12,000+1000(0+1)
P=12,000+1000
P=13,000 rabbits.
Hope this helps!!!

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3 years ago

Find x.<br> 3х + 4<br> 6x - 2

Naddika [18.5K]

To find X, the answer would be 2

6 0

3 years ago

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The area of a shape is 100cm2 what is the area if the shape is dialated with a scale factor of 1/5

Sveta_85 [38]

Answer:

20cm squared