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Nataly [62]
3 years ago
8

Juanita is 15 years old and her brother is 5. what is the ratio of juanitas age to her brother age.

Mathematics
1 answer:
zmey [24]3 years ago
3 0
It is a 3 to 1 (3:1) ratio
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A single die is rolled. Find the probability of getting an odd number or a number less<br> than 5.
Eddi Din [679]

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

3 0
2 years ago
Wind farm configuration is a significant issue as the upwind turbines generate maximal energy while creating wakes for downwind
lord [1]

Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

a)

The 95% confidence interval is given by the interval

\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\bf \bar x= 26.7 is the sample mean  

s = 17.7 is the sample standard deviation  

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute \bf z^* and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}

(*)

This value can be computed in Excel with

<em>NORMINV(1-0.025,0,1)</em>

and in OpenOffice Calc with

<em>NORMINV(1-0.025;0;1)</em>

b)

Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

7 0
3 years ago
Expand the following expression:<br> (2x-1)(x+4)
sesenic [268]

Answer:

2x² +7x - 4

Step-by-step explanation:

(2x-1)(x+4)

2x² + 8x - x - 4

simplify:

2x² +7x - 4

8 0
2 years ago
Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len
NARA [144]

Answer:

CD = 3

Step-by-step explanation:

Given

CD = x

BC = 5x - 5

BD = 2x + 7

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

BD = BC + CD

Substitute the values of BD, BC and CD

2x + 7 = 5x - 5 + x

Collect Like Terms

2x - 5x - x = -5 - 7

-4x = -12

Divide both sides by -4

\frac{-4x}{-4} = \frac{-12}{-4}

x = 3

To determine the length of CD;

Substitute 3 for x in CD = x

Hence;

CD = 3

3 0
3 years ago
If the rate of decrease for the partial pressure of N2H4 in a closed reaction vessel is 76 torr/h , what is the rate of change f
fiasKO [112]

The reaction is missing and it's ;

N2H4 + H2 ---> 2NH3

It asks for the total pressure too.

Answer:

A) Rate of change for NH3 = 152 torr/h

B) The total pressure in the vessel will remain the same.

Step-by-step explanation:

N2H4 + H2 ---> 2NH3

1 mole of N2H4 yields 2 moles of NH3.

From the question, the rate given for N2H4 is 76 torr/h.

Thus, The rate of change for NH3 will be = 2 x 76 = 152 torr/h

Now, on the reaction side, 1 mole of N2H4 reacts with 1 mole of H2. So we have 2 moles on the left hand side.

While on the product side, 2 moles of NH3 are produced.

So the total pressure will remain the same because for every 2 moles on the reaction side, 2 moles are gotten on the product side.

3 0
3 years ago
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