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Vanyuwa [196]
3 years ago
15

5×[(12() 3)-(15-9)=150

Mathematics
1 answer:
coldgirl [10]3 years ago
3 0
X=13/14
I don’t know if you meant for the parentheses to be flipped so I flipped them normally (between 12 and 3)
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The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a
jolli1 [7]

Answer:

e. 0.977

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 = 478, \sigma = 64

Which of the following is closest to the proportion of daily transactions greater than 350?

This is 1 subtracted by the pvalue of Z when X = 350. So

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

Z = \frac{350 - 478}{64}

Z = -2

Z = -2 has a pvalue of 0.023

1 - 0.023 = 0.977

So the correct answer is:

e. 0.977

6 0
3 years ago
How to solve<br><br> 3sin^2x= cos^2x
DochEvi [55]

I'll try it.
I just went through this twice on scratch paper.  The first time was to
see if I could do it, and the second time was because the first result
I got was ridiculous.  But I think I got it.

You said                                                 <span><u>3sin²(x) = cos²(x)</u>

Use this trig identity:  sin²(x) = 1 - cos²(x)   

                                   Plug it into the original equation for (x).

                                                     3(1 - cos²(x) )  =  cos²(x)

Remove parentheses on the left:    3 - 3cos²(x)  =  cos²(x)

Add  3cos²(x)  to each side:            3                  =  4cos²(x)

Divide each side by  4 :                  3/4  =  cos²(x)

Take the square root of each side:    <em>cos(x) = (√3) / 2</em> .

There it is ... the cosine of the unknown angle.
Now you just go look it up in a book with a table cosines,
or else pinch it through your computer or your calculator,
or else just remember that you've learned that

                           cos( <em><u>30°</u></em> )  =  </span><span><span>(√3) / 2 </span>.


</span>
7 0
3 years ago
In the Central Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race
zvonat [6]

Answer:

40% finished, which means that 60% did not.

Step-by-step explanation:

a = p*w

12 = p*30

12/30=p

.40 = p

40%

6 0
3 years ago
A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle
LiRa [457]

The area and the width are known as 60 and 12 respectively. Rearranging that equation above, and plugging the values, one gets the value of the length of the rectangle as 5.

3 0
3 years ago
A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc
seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

t=\frac{d}{s}

we have

d=963\ mi

s=60\ mi/h

substitute

t=\frac{963}{60}=16.05\ hours

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

30\ minutes=0.50\ hours

16.05+0.50=16.55\ hours

Convert to minutes

16.55\ h=16.55(60)\ min=993\ min

step 3

Remember that

8 p.m=20:00\ hrs

Convert to minutes

20(60)=1,200\ min

Subtract 993 minutes from 1,200 minutes

1,200-993=207\ min

Convert to hours+minutes

207\ min=207/60=3.45\ hours

0.45\ h=0.45(60)=27\ min

so

3\ h+27\ min

00:00 + 03:27=03:27\ am

therefore

The train need to leave Portland at 03:27 am

8 0
3 years ago
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