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lesya692 [45]
1 year ago
10

Please help me with this

Mathematics
2 answers:
emmainna [20.7K]1 year ago
8 0

Answer:

x = 12

Step-by-step explanation:

AB + BC  = AC

(x-5)   + 11   = 2x-6

x -5 + 11 = 2x-6     add 6 to both sides

x + 12 = 2x             subtract x from both sides

12 = x

Arte-miy333 [17]1 year ago
7 0

Answer:

6

Step-by-step explanation:

im not entirely sure but i did try hope it's  right lmk

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Work out the size of angle x
mestny [16]

Answer:

97 degrees

Step-by-step explanation:

5 0
3 years ago
Find the area of the surface the part of the plane y=x^2 y^2 cylinder x^2 z^2=16
Anestetic [448]

The area of the surface is 144.708

The equation of the given surface is,

z=g(x,y)=xy

Solving the partial derivatives,

∂g∂x=y,∂g∂y=x

Substituting to the formula

S=∬√1+( ∂g∂x)2+(∂g∂y)2dA

Thus,

S=∬√1+(y)2+(x)2dAS=∬√1+x2+y2dA

The region in the XY-plane is defined by the intervals  0≤θ≤2π,0≤r≤4

Converting the integral into polar coordinates,

S=∫2π0∫40√1+r2rdrdθ

Integrating with respect to r

S=∫2π0[13(1+r2)32]40dθ

S=∫2π0(17√173−13)dθ

Integrating with respect to θ

S=(17√173−13)[θ]2π0

S≈144.708

For more information about areas, visit

brainly.com/question/22972014

#SPJ4

8 0
2 years ago
If f(x) = x2 + 1 and g(x) = x -4, which value is equivalent to (f•g)(10)?
Phantasy [73]

Answer:

<h2>(f•g)(10) = 37</h2><h2 />

Step-by-step explanation:

(f•g)(x) = (x - 4)² + 1

then

(f•g)(10) = (10 - 4)² + 1 = 6² + 1 = 37

4 0
3 years ago
A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does
mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0
1 year ago
Peters glasses each hold 8 fluid ounces how many glasses of juice can peter pour from a bottle that holds 2 quarts
kotykmax [81]
He can pour 8 glasses
5 0
2 years ago
Read 2 more answers
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