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3 years ago

I need a little bit of more help understanding how to do this

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Add 3 to both sides, then add 2m
Then divide 4 on both sides.

You might be interested in

Choose the list of numbers that are examples of multiples of 4.

dybincka [34]

The second option! 16, 20, 24, 28 can all be divided by 4

7 0

3 years ago

H=7+44t-16^2

djyliett [7]

Answer:

$t_1\approx2.18$

$t_2\approx0.57$

Step-by-step explanation:

$h=7+44t-16t^2$

$27=7+44t-16t^2$

$0=-20+44t-16t^2$

$0=-16t^2+44t-20$

$t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}$

$t=\frac{-44\pm\sqrt{1936-1280}}{-32}$

$t=\frac{-44\pm\sqrt{656}}{-32}$

$t=\frac{-44\pm4\sqrt{41}}{-32}$

$t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}$

$t_1\approx2.18$

$t_2\approx0.57$

5 0

2 years ago

Suppose that one-way commute times in a particular city are normally distributed with a mean of 15.43 minutes and a standard dev

vovikov84 [41]

Answer:

Yes, a commute time between 10 and 11.8 minutes would be unusual.

Step-by-step explanation:

A probability is said to be unusual if it is lower than 5% of higher than 95%.

We use the normal probability distribution to solve this question.

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:

$\mu = 15.43, \sigma = 2.142$

Would it be unusual for a commute time to be between 10 and 11.8 minutes?

The first step to solve this problem is finding the probability that the commute time is between 10 and 11.8 minutes. This is the pvalue of Z when $X = 11.8$ subtracted by the pvalue of Z when X = 10. So

X = 11.8

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

$Z = \frac{11.8 - 15.43}{2.142}$

$Z = -1.69$

$Z = -1.69$ has a pvalue of 0.0455

X = 10

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

$Z = \frac{10 - 15.43}{2.142}$

$Z = -2.54$

$Z = -2.54$ has a pvalue of 0.0055

So there is a 0.0455 - 0.0055 = 0.04 = 4% probability that the commute time is between 10 and 11.8 minutes.

This probability is lower than 4%, which means that yes, it would be unusual for a commute time to be between 10 and 11.8 minutes.

7 0

3 years ago

Is the relation { (3, 2), (-1, 2), (7, 2), (0, 2)} a function? Why or why not? List the domain and range.

Makovka662 [10]

Answer:

its a function because each input (X) only has one output (y)

domain (3,-1,7,0)

range (2)

Step-by-step explanation:

6 0

3 years ago

Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets i

Elena L [17]

40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.

She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004

The number she started with is 0.4.
The power is 10^5.

8 0

3 years ago