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Eduardwww [97]
1 year ago
8

Factor −5x2 + 10x. −5x(x + 2) 5(−x2 + 10x) 5x(−x + 2) x(5x + 10)

Mathematics
1 answer:
Hitman42 [59]1 year ago
4 0

{ \red{ \bold{option \: (c)}}}

Step-by-step explanation:

{ \purple{ \tt{ { - 5x}^{2}  + 10x}}}

Take { \purple{ \tt{5x}}}as common. Then,

{ \purple{ \tt{5x( - x + 2)}}}

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WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER!!!
Nata [24]

Answer:

Its b.

Step-by-step explanation:

m < 3 = m <  4  (vertical angles)

m < 1 = m < 5 ( alternate angles)

Therefore the triangles are similar.

7 0
3 years ago
Read 2 more answers
Find the percentage of vacationers from<br> question 10 who spent between $1500<br> and $2000.
mars1129 [50]

Answer:

The percentage change of vacationers is 33.3 %

Step-by-step explanation:

Given as :

The old value of the vacationers = $ 1500

The new value of the vacationers = $ 2000

Let the percentage variation = x %

Or, x % increase = \dfrac{\tyextrm new value - \textrm old value}{\textrm old value} × 100

Or,  x % increase = \dfrac{\tyextrm $ 2000 - \textrm $ 1500}{\textrm $ 1500} × 100

Or, x % increase = \frac{500}{1500} × 100

Or, x % increase = \frac{1}{3} × 100

Or, x % increase = \frac{100}{3}

∴  x  = 33.3 %

So, The percentage increase change is 33.3 %

Hence The percentage change of vacationers is 33.3 %   Answer

3 0
3 years ago
2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi
Oksana_A [137]

Answer:

(a) E(X) = 950

(b) $ COV = 0.007255$

(c) P(X > 980) = 0.00001\\\\

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$ COV = \frac{\sigma}{E(X)} $

Where the standard deviation is given by

\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892

So the coefficient of variance is

$ COV = \frac{6.892}{950} $

$ COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 980)  = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980)  = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980)  = 1 - P(Z < 4.28)\\\\

The z-score corresponding to 4.28 is 0.99999

P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0
3 years ago
Write 1.19 as a mixed number
zysi [14]
1 19/100 is your answer........
7 0
3 years ago
Read 2 more answers
If 90 is 30% of a number , what is 200% of the number
9966 [12]

Answer:

600

Step-by-step explanation:

To find 100% we can divide by 30 (to find 1%) then times by 100 (to find 100%)

90÷30=3

3×100=300

100%=300

200%=300×2

200%=600

3 0
2 years ago
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