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Lemur [1.5K]
3 years ago
13

Can you help with #17

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

17 =  \frac{(2x + 4) + (8x - 50)}{2}=  \frac{10x - 46}{2}

so

17 \times 2 = 10x - 46

34 + 46 = 10x

\frac{80}{10}  = x

8 = x

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PLEASE ANSWER AND EXPLAIN | 98 POINTS
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3 years ago
Read 2 more answers
g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and
scoray [572]

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \overline{x} = Sample mean , \mu= population mean, \sigma = population standard deviation, n= sample size.

As per given , n=10

\mu= $29,056

\sigma = $3,339

\overline{x} =  $31,650

Then,

z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46

Hence, the z-score = 2.46

4 0
3 years ago
Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?
leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\

Step 2

find the volume of the sphere when radius= 5.1 ft

v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\

Step 3

Compare the Volumes to find the change

\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet

change=18.03 cubic feet

Have a great day.

4 0
2 years ago
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