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vagabundo [1.1K]
3 years ago
15

Find the percent of change and describe it as an increase or decrease. If necessary, round to the nearest tenth.

Mathematics
1 answer:
Zanzabum3 years ago
5 0
B 25%percent increase is the answer
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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

\Rightarrow a=-0.215

Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
3 years ago
Adult men have heights with a mean of 69. 0 inches and a standard deviation of 2. 8 inches. find the z-score of a man who is 71.
Anarel [89]

The value of the z score is 1.03.

According to the statement

we have given that the value of mean and standard deviation and we have to find the value of the z score.

So, For this purpose we know that the

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

And the given values are:

mean value = 69 inches

s.d value = 2.8 inches

And the value of x is 71.9 inches.

So, The Z score is

z = x - mean / standard deviation

substitute the values in it then

z = 71.9 - 69 / 2.8

then

z = 2.9 /2.8

z  = 1.03

So, The value of the z score is 1.03.

Learn more about Z Score here

brainly.com/question/25638875

#SPJ4

8 0
1 year ago
50 POINTS PLS HELP!!!
Viefleur [7K]

Answer:

1.) 90 ways

2.) 15,600 ways

3.) 24 ways

Step-by-step explanation:

1.)  Let's say   we are given 2 digits not equal to each other...The number of different orderings would be  2*1 = 2, or  if we wanted the number of ways to order 2 digits chosen :   10*9 = 90 ways

2.)   The number of ways to arrange 3 letters from 26 letters is:

26 Permutes 3  =    26! / (26 -3)!  =  26*25*24 = 15,600 ways to choose 3 letters in a certain order

3.) 4 different chores.  The number of ways to do them =  4*3*2 *1 = 24 ways

7 0
3 years ago
6. Find the sum or difference.<br> (69 - 3) - (4g + 5)
serg [7]

Answer:

61-4g

Step-by-step explanation:

ygbhc

8 0
3 years ago
Read 2 more answers
HELP this is an end of year exam and i got a 64 the first time
Zinaida [17]

Answer:

(D) 81 feet      

Step-by-step explanation:

From the figure drawn, it is given that AB is parallel to DE, in ΔABC and ΔCDE, we have

∠BAC=∠DEC(Alternate angles)

∠ACB=∠DCE(Vertically opposite angles)

Thus, by AA rule, ΔABC is similar to ΔCDE.

Since the line connecting from the whales to the sharks is parallel to the line connecting from the penguins to the fish tanks, the triangles shown in the figure are similar. Using the property of similar triangles.

Hope this helped!!!

3 0
3 years ago
Read 2 more answers
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