A football team loses a total of 12 yards in 4 plays. on average, how many yards did this team move the ball per play?

Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the

fiasKO [112]

Answer:

a) NORM.S.INV(0.975)

Step-by-step explanation:

1) Some definitions

The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.

NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"

The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.

2) Solution for the problem

Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".

We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.

So for this case the correct function to use is: NORM.S.INV(0.975)

And the result after use this function is 1.96. And we can check the answer if we look the picture attached.

6 0

4 years ago

ILL GIVE BRAINLIEST! HELP!

KonstantinChe [14]

Answer:

is B))))

Step-by-step explanation:

brainliest pls

.

7 0

3 years ago

Read 2 more answers

Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha

AveGali [126]

$r\approx0.139$

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

$\begin{gathered} A=Pe^{rt} \\ \end{gathered}$

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

$\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}$

3) Thus the rate Otto needs is

$r=0.1386\approx0.139$

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

8 0

1 year ago

Choose the numbers that are irrational.

ddd [48]

As the numbers are written, none of them are irrational because they are all terminating decimals:

$3.624=\dfrac{3624}{1000}=\dfrac{453}{125}$
$0.6=\dfrac6{10}=\dfrac35$
$0.87=\dfrac{87}{100}$
$-5=-\dfrac51$

Perhaps there is some missing notation in your question?

8 0

3 years ago

Which of the following shapes is not a polygon

Contact [7]

Polygons are closed figures so any figure that is not closed is not a polygon

5 0

4 years ago