All categories

2 years ago

What is it ?………………….

Mathematics

2 answers:

eimsori [14]2 years ago

7 0

Answer:

Step-by-step explanation:

its an formula which comes in algebraic expression

emmasim [6.3K]2 years ago

6 0

Answer:

8¹⁴

Step-by-step explanation:

2 × 7 = 14

so the answer is 8¹⁴

You might be interested in

A study of long-distance phone calls made from General Electric's corporate headquarters in Fairfield, Connecticut, revealed the

Jet001 [13]

Answer:

a) 0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

b) 0.0668 = 6.68% of the calls last more than 4.2 minutes

c) 0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

d) 0.9330 = 93.30% of the calls last between 3 and 5 minutes

e) They last at least 4.3 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 3.6, \sigma = 0.4$

(a) What fraction of the calls last between 3.6 and 4.2 minutes?

This is the pvalue of Z when X = 4.2 subtracted by the pvalue of Z when X = 3.6.

X = 4.2

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4.2 - 3.6}{0.4}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

X = 3.6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3.6 - 3.6}{0.4}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

0.9332 - 0.5 = 0.4332

0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

(b) What fraction of the calls last more than 4.2 minutes?

This is 1 subtracted by the pvalue of Z when X = 4.2. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4.2 - 3.6}{0.4}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of the calls last more than 4.2 minutes

(c) What fraction of the calls last between 4.2 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 4.2. So

X = 5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 3.6}{0.4}$

$Z = 3.5$

$Z = 3.5$ has a pvalue of 0.9998

X = 4.2

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4.2 - 3.6}{0.4}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

0.9998 - 0.9332 = 0.0666

0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

(d) What fraction of the calls last between 3 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 3.

X = 5

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 3.6}{0.4}$

$Z = 3.5$

$Z = 3.5$ has a pvalue of 0.9998

X = 3

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{3 - 3.6}{0.4}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.9998 - 0.0668 = 0.9330

0.9330 = 93.30% of the calls last between 3 and 5 minutes

(e) As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 4% of the calls. What is this time?

At least X minutes

X is the 100-4 = 96th percentile, which is found when Z has a pvalue of 0.96. So X when Z = 1.75.

$Z = \frac{X - \mu}{\sigma}$

$1.75 = \frac{X - 3.6}{0.4}$

$X - 3.6 = 0.4*1.75$

$X = 4.3$

They last at least 4.3 minutes

7 0

2 years ago

Ann took a taxi home from the airport to taxi fare was $2.10 per mile and she gave the driver a tip of five dollars and paid a t

GaryK [48]

Answer:

2.10x+5=49

Step-by-step explanation:

2.10x represents how much she is paying per mile

The five represents the tip she gave the driver

49 represents the total amount she paid

With this information, you can create this equation to solve for the amount of miles.

Hope this helps!

7 0

2 years ago

I need help using the Pythagorean theorem

Mazyrski [523]

The biggest side should be the hypotenuse in a right triangle.

In the Pythagorean theorem, side^2 + side^2 = hypotenuse^2

28^2 + 45^2 = 53^2 if these lengths create a right triangle.

Since 28^2 + 45^2 = 2809 and 53^2 = 2809, these sides do in fact form a right triangle.

5 0

3 years ago

Read 2 more answers

IS ANYONE GOOD AT CALCULUS? PLEASE HELP!!! The rate at which a certain radioactive isotope decays is given by = negative 0.0032

victus00 [196]

Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t) where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 = -0032 t

t = ln 0.75 / -0032

t = 90.

6 0

3 years ago

Please help asap x I will give brainliest to whoever answers!

MrRa [10]

Answer: it is proven

Step-by-step explanation:

6 0

3 years ago