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zvonat [6]
3 years ago
6

You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Write an expression which describes the per

cent of increase in the trees height?
Mathematics
2 answers:
Ugo [173]3 years ago
3 0
36 - 100%
43 - x  %
<span>
we multiply by cross ->  36 * x = 100 / 43 

we should remove '100%' from new value, because we find only increase.. no new value in percent.

x + 100 = (43 * 100)/36 

x =  4300/36 - 100
x = 119+ 16/36 -100
x = 19 +4/9</span>
Galina-37 [17]3 years ago
3 0
\frac{(h_{f}-h_{o})}{h_{o}} *100

\frac{(43-36)}{36} *100

\frac{7}{36} *100

0.1944*100

19.44

<u><em>19.44% increase</em></u>



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Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The
kifflom [539]

Answer:

A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B

= (0.51, 0.57)

This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)

B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.

Critical value = 2.33

Standard error = σₓ = √[p(1-p)/n]

p = sample proportion = 0.54

n = sample size = 1500

σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287

98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.54 ± (2.33 × 0.01287)

CI = 0.54 ± 0.02998)

98% CI = (0.51, 0.57)

98% Confidence interval = (0.51, 0.57)

B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?

For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;

- The sample data must have been obtained using a random sampling technique.

- The sampling distribution must be normal or approximately normal.

- The variables of the sample data must be independent of each other.

On the second point, the condition for a binomial distribution to approximate a normal distribution is that

np ≥ 10

and n(1-p) ≥ 10

The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.

For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.

Hope this Helps!!!

8 0
3 years ago
Please help thank you very much
-BARSIC- [3]
Hello!

The answer is 34°

Hope this helps!
7 0
3 years ago
Can someone help me?
krek1111 [17]
I say..3x1= 3+1= 4 :-)
8 0
2 years ago
Read 2 more answers
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water
nekit [7.7K]
<span>The table must show: Time (minutes) number of gallons remaining X y 0 Yo 1 Yo – 1.5 2 Yo – 2*1.5 3 Yo – 3*1.5 4 Yo – 4*1.5 And the equation will be ; Y = Yo – 1.5 x, where Yo is the initial amount of water in the bathtub.</span>
3 0
3 years ago
The formula F(C) = 9 5 C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
viktelen [127]

Answer:

True

Step-by-step explanation:

Assuming this is a true or false question, the given formula is used to convert temperatures that are in degrees Celsius to degrees Fahrenheit.

F(C)=\frac{9}{5} C+32

3 0
2 years ago
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