3x+8y=15<br> 2x−8y=10<br> Solve for x

In a random sample of 20 NBA basketball games the mean number of points scored by the home team was 100.4 with a standard deviat

slava [35]

Answer:

The 95% confidence interval is $98.27 < \mu < 102.53$

This interval means that there 95% confidence that the true mean is within this interval

Yes i would agree with my friend because the lower and the upper limit 95% confidence interval for mean points scored at home is greater than 98 points

Step-by-step explanation:

From the question we are told that

The sample size is n = 20

The sample mean is $\mu = 100.4$

The standard deviation is $\sigma = 4.86$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

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

substituting values

$E = 1.96 * \frac{ 4.86 }{ \sqrt{20 } }$

$E = 2.13$

The 95% confidence interval is mathematically represented as

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

substituting values

$100.4 - 2.13 < \mu < 100.4 + 2.13$

$98.27 < \mu < 102.53$

5 0

4 years ago

Need some help here please...

vichka [17]

Answer:

The answer is (3,2) or x=3 and y=2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Given that the mass of an average linebacker at Ursinus College is 250 lbs and the radius of a pea is 0.50 cm, calculate the num

Brilliant_brown [7]

Answer:

1.544*10⁹ Linebackers would be required in order to obtain the same density as an alpha particle

Step-by-step explanation:

Assuming that the pea is spherical ( with radius R= 0.5 cm= 0.005 m), then its volume is

V= 4/3π*R³ = 4/3π*R³ = 4/3*π*(0.005 m)³ = 5.236*10⁻⁷ m³

the mass in that volume would be m= N*L (L= mass of linebackers=250Lbs= 113.398 Kg)

The density of an alpha particle is ρa= 3.345*10¹⁷ kg/m³ and the density in the pea ρ will be

ρ= m/V

since both should be equal ρ=ρa , then

ρa= m/V =N*L/V → N =ρa*V/L

replacing values

N =ρa*V/L = 3.345*10¹⁷ kg/m³ * 5.236*10⁻⁷ m³ /113.398 Kg = 1.544*10⁹ Linebackers

N=1.544*10⁹ Linebackers

7 0

3 years ago

Jordan scored 19 points during a basketball game. She made a total of 9 baskets.

Over [174]

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

4 0

3 years ago

Read 2 more answers

Find the value of (10 1/5) (-5)

lara31 [8.8K]

The value of (10 1/5) (-5) is -51.

4 0

3 years ago

3x+8y=15 2x−8y=10 Solve for x