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3 years ago

Find x y and z. Thanks!

Mathematics

1 answer:

stepan [7]3 years ago

6 0

Answer:

x = 6, z = 5.66 to nearest hundredth.

y = 90 degrees.

Step-by-step explanation:

From the chord intersection theorem 12*4 = 8 * x

So x = 6.

By the tangent / chord theorem:

z^2 = 2 * (12+4)

z^2 = 32

z = 5.66.

I'm not 100% sure of the value of angle y but I think its

1/2(100 + 80) = 90 degrees.

I'll try and check that out.

Yes that is right.

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A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th

Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
37% say yes, hence $p = 0.37$

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625$

$p = 0.37(0.0625) = 0.0231$

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0

2 years ago

Help me with this thanks

fredd [130]

Answer:

Volume of composite is 483 $mm^3$

Step-by-step explanation:

We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):

Volume of the prism = 7 x 12 x 3 $mm^3$ = 252 $mm^3$

Volume of the semi-cylinder = $\frac{\pi\,\,R^2\,\,H}{2} = \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3$

Therefore the sum of both volumes gives:

(252 + 230.907) $mm^3$ = 482.907 $mm^3$

WHich can be rounded to the nearest whole number as: 483 $mm^3$

4 0

3 years ago

Find the value of x. Plz help I don’t understand

coldgirl [10]

The answer for this problem is 125

4 0

3 years ago

Read 2 more answers

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop

Masteriza [31]

[ y - 4 = x - 8 ] is not the equation of the line that goes through
those two points. The first point (8, 4) is on the graph of that
equation, but the second point (0, 2) is not.

The slope/intercept equation of the line that passes through
both points (8, 4) and (0, 2) is

y = 1/4 x + 2 .

The slope/intercept form of [ y - 4 = x - 8 ] is

y = x - 4 .

5 0

3 years ago

Go step by step to reduce the radical.

zysi [14]

2x16 is 32 so you would take square root of 16 out which is 4 and leave the 2 inside. So the answer is 4sqrt(2)

4 0

2 years ago