Solve for x in the triangle. Round to the nearest tenth

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a the past year. Suppose a sa

strojnjashka [21]

Answer:

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =$3.26 million

Standard Deviation, σ = $1.2 million 100

We assume that the distribution of salaries is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.2}{\sqrt{100}} = 0.12$

P(mean salary of the 100 players was less than $3.0 million)

$P(x < 3) = P(z < \displaystyle\frac{3-3.26}{0.12}) = P(z < -2.167)$

Calculating the value from the standard normal table we have,

$P(Z < -2.167) = 0.015 \\P( x < 3) = 1.5\%$

0.015 is the approximate probability that the mean salary of the 100 players was less than $3.0 million

6 0

3 years ago

I'm not sure if this is correct but is it?

denpristay [2]

Answer:

That is wrong

Step-by-step explanation:

1.55 rounds up, 7.95 round up. Remember, they are supposed to round down.

Also, if you could label this brainliest that would be a great help!

Thanks xx

-Dante

6 0

2 years ago

Evaluate the following <br><br>2/3 + 11/3 – 1/3

arsen [322]

Answer:

12/3 which is =4

Step-by-step explanation:

for adding fractions you keep the denominator the same and just add or subtract the numerators

2+11-1=12

6 0

2 years ago

How do I solve for x here? Use the properties of logarithms to find a value for x. Assume a,b, and M are constants.

Leona [35]

Yes, you're right! The first step is rewriting the equation as

$\ln(a) + \ln(b^x) = M$

Subtract $\ln(a)$ from both sides:

$\ln(b^x) = M-\ln(a)$

Use the property $\ln(a^b) = b\ln(a)$ to rewrite the equation as

$x\ln(b) = M-\ln(a)$

Divide both sides by $\ln(b)$

$x = \dfrac{M-\ln(a)}{\ln(b)}$

Alternative strategy:

Consider both sides as exponents of e:

$e^{\ln(ab^x)} = e^M$

Use $e^{\ln(x)} = x$ to write

$ab^x = e^M$

Divide both sides by a:

$b^x = \dfrac{e^M}{a}$

Consider the logarithm base b of both sides:

$x = \log_b\left(\dfrac{e^M}{a}\right)$

The two numbers are the same: you can check it using the rule for changing the base of logarithms

7 0

2 years ago

X=4 / y=100 if x=10 then what is y=?

Trava [24]

Y would equal 250 because 4*2=8 and 100*2=200 plus half of each so 8+2= 10 so now u have x and 200 plus 50 bc that’s half of 100 so now y=250

4 0

3 years ago