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3 years ago

29) PLEASE HELP WITH QUESTION. MARKING BRAINLIEST + POINTS GIVEN.

Mathematics

1 answer:

Reika [66]3 years ago

3 0

$x^{4} -32 x^{2} -144$ will factor into the following
$( x^{2} +4)( x^{2} -36)$
Set each factor equal to 0:
$x^{2} +4=0$ or $x^{2} -36=0$
$x^{2} =-4$ $x^{2} =36$
x = +/- 2i x = +/- 6

Answer: 2i, 6, -6

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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu

irina [24]

Answer:

(a) The probability that a selected joint was judged to be defective by neither of the two inspectors is 0.906.

(b) The probability that a selected joint was judged to be defective by inspector B but not by inspector A is 0.0213.

Step-by-step explanation:

The sample of joints randomly selected is, n = 10,000.

Number of joints judged defective by inspector A is, n (A) = 727.

The probability that a joint is judged defective by inspector A is:

$P(A)=\frac{n(A)}{n} =\frac{727}{10000} =0.0727$

Number of joints judged defective by inspector B is, n (B) = 756.

The probability that a joint is judged defective by inspector B is:

$P(B)=\frac{n(B)}{n} =\frac{756}{10000} =0.0756$

Number of joints judged defective by at least one of the inspectors is,

n (At least 1) = 940.

The probability that a joint is judged defective by at least one of the inspectors is:

$P(At\ least\ 1)=\frac{n(At\ least\ 1)}{n} =\frac{940}{10000}=0.094$

(a)

Compute the probability that a selected joint was judged to be defective by neither of the two inspectors as follows:

P (At least 1) = 1 - P (Less than 1)

= 1 - P (None)

P (None) = 1 - P (At least 1)

$=1-0.094\\=0.906$

Thus, the probability that a selected joint was judged to be defective by neither of the two inspectors is 0.906.

(b)

Compute the probability that a selected joint was judged to be defective by inspector B but not by inspector A as follows:

P (B but not A) = P (At least 1) - P (A)

$=0.094-0.0727\\=0.0213$

Thus, the probability that a selected joint was judged to be defective by inspector B but not by inspector A is 0.0213.

6 0

3 years ago

Line WX is parallel to line YZ. If m∠XAB = (2x + 16)° and m∠VAW = 138°, find the value of x.

aleksley [76]

Answer:

Step-by-step explanation:

Since ∠XAB and ∠VAW is a pair of vertical angles then they are congruent

then

m∠XAB = m∠VAW

then

2x + 16 = 138

then

2x = 122

then

x = 61

5 0

3 years ago

1 + 1 (just giving away ponits)

vladimir2022 [97]

Answer:

2 pls give me brainliest im about to level up

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Diego started an exercise program in which each week he works out at the gym between 4.5 and 6 hours and walks between 9 and 12

choli [55]

Answer:

$4.5$

Step-by-step explanation:

Let $x$ be time that Diego spends in gym and $y$ be walking distance.

Gym Time:

Minimum time of gym $=4.5\ hours$

Maximum time of gym $=6\ hours$

So the time $x$ will be greater than $4.5$ and less than $6$ .

$4.5$

Walking Distance:

Minimum Distance $=9\ miles$

Maximum Distance $=12\ miles$

So the walking distance will be greater than $9$ and less than $12$

$9$

Inequalities:

$4.5$

4 0

4 years ago

Which function results after applying the sequence of transformations to

Ad libitum [116K]

Answer:

The resulting function after the sequence of transformations is $f(x)=3(x+2)^5+1$

Step-by-step explanation:

Given a function f(x)

the function a*f(x) will be a vertical stretch of factor a, given a > 1
the function f(x) + b will be the translated function vertically up b units
the function f(x+c) will be horizontally translated function of the original by c units left

Remembering these points, we can apply the rules to $x^5$ .

Strech vertically by 3 would be $3x^5$
translate up 1 unit would be $3x^{5}+1$
translate left 2 units would make it $3(x+2)^5+1$

Hence the new function would be $3(x+2)^5+1$

8 0

3 years ago