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topjm [15]
2 years ago
11

Solve the inequality for V . 5V - 2 ≥ 13 Simplify your answer as much as possible.

Mathematics
2 answers:
Hoochie [10]2 years ago
7 0

Answer:

V ≥ 3

Step-by-step explanation:

Valentin [98]2 years ago
4 0
The answer is V > 11/5
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A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic
Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean iron concentration = 0.802 cc/cubic meter

             s = sample standard deviation = 0.093

             n = number of water samples = 27

             \mu = population mean

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, \mu is ;

P(-1.706 < t_2_6 < 1.706) = 0.90  {As the critical value of t at 26 degree of

                                                 freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 1.706) = 0.90

P( -1.706 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 1.706 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X -1.706 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +1.706 \times {\frac{s}{\sqrt{n} } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X -1.706 \times {\frac{s}{\sqrt{n} } , \bar X +1.706 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 0.802 -1.706 \times {\frac{0.093}{\sqrt{27} } , 0.802 +1.706 \times {\frac{0.093}{\sqrt{27} } ]

                                                 = [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0
3 years ago
Find sin, where the angle is shown<br> Give the exact value, not a decimal approximation
olga_2 [115]

Answer:

sinΘ = \frac{24}{25}

Step-by-step explanation:

sinΘ = \frac{opposite}{hypotenuse}

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = \sqrt{625} = 25

Thus

sinΘ = \frac{24}{25}

6 0
3 years ago
7.21 repeating as a fraction
GalinKa [24]

Answer: 721/100 is 7.21 as a simplified fraction.

3 0
2 years ago
Read 2 more answers
A pet toy manufacturer is designing a plastic ball for dogs that will float in water. In order for the ball to float it must hav
algol13

Answer:

3.576 cm

Step-by-step explanation:

radius of ball, r=?

Given:

Density, p = 0.600g/mL

mass, m= 115g

finding volume, v of ball by using formula p=m/v

v= m/p

= 115/0.600

=191.666 mL^3

=191.666 cm^3

Now using formula v= (4/3)πr^3 to find radius, r of the ball

r^3= 3v/4π

   = 3(191.666)/4π

   =45.75 cm

r   =3.5767 cm !

7 0
3 years ago
Which type of parent function is graphed on the coordinate plane?
Sophie [7]

Answer : option A

In logarithmic Parent  function, there will be a vertical asymptote.

In the given graph , there is a horizontal asymptote. The graph goes close to y axis but does not cross y axis.

The graph goes close to y axis so there is a horizontal asymptote. Its not a parent logarithmic function.

The graph of exponential function with base 0 to 1 , the y value decreases when x increases. In the given graph the y values increases when x value increases. so the base of the exponential function will be greater than 1

Option A is correct

6 0
3 years ago
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