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2 years ago

Tell whether a triangle can have sides with lengths 6, 10, and 14.

1 answer:

8 0

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Since 3in, 4in, and 8in. Since 6+14 > 10,6+ 10 > 14, and 10 + 14 > 6, you can form a triangle with the lengths 6m, 14m, and 10m.

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Lots of 40 components each are deemed unacceptable if they contain 3 or more defectives. The procedure for sampling a lot is to

MrRissso [65]

Answer:

The probability of founding exactly one defective item in the sample is P=0.275.

The mean and variance of defective components in the sample are:

$\mu=0.375\\\\\sigma^2=0.347$

Step-by-step explanation:

In the case we have a lot with 3 defectives components, the proportion of defectives is:

$p=3/40=0.075$

a) The number of defectives components in the 5-components sample will follow a binomial distribution B(5,0.075).

The probability of having one defective in the sample is:

$P(k=5)=\binom{5}{1}p^1(1-p)^4=5*0.075*0.925^4=0.275$

b) The mean and variance of defective components in the sample is:

$\mu=np=5*0.075=0.375\\\\\sigma^2=npq=5*0.075*0.925=0.347$

The Chebyschev's inequality established:

$P(|X-\mu|\geq k\sigma)\leq \frac{1}{k^2}$

6 0

3 years ago

Solve for x. 4−(2x+4)=5 x=6 x=−52 x=−10 x=32

sashaice [31]

Answer:

Step-by-step explanation:

4−(2x+4)=5

4-2x - 4 =5

-2x = 5

x= -5/2 = -2.5

5 0

3 years ago

Pastries made out of filo dough are brushed with either olive oil or butter (but not both). Pastries made out of shortcrust doug

givi [52]

Answer:

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

Step-by-step explanation:

Rashid pastries (R)

Mikhail pastries (M)

Rashid and Mikhail submitted a total of x pastries

R+M=x (I)

Rashid made 2/3 as many pastries as Mikhail

(2/3)*R=M (II)

Using II in I

R+(2/3)*R=x

(5/3)*R = x

R=(3/5)*x (III)

Using III in I

(3/5)*x+M=x

M=x-(3/5)*x

M=(2/5)*x (IV)

Mikhail filo dough (MF)

Mikhail shortcrust dough (MS)

Rashid filo dough (RF)

Rashid shortcrust dough (RS)

Mikhail used filo dough for all of his pastries

MF=M

MS=0

Rashid used shortcrust dough for all of his pastries

RS=R

RF=0

Filo dough (FD)

FD=RF+MF=0+MF=MF=M (V)

5/8 of the filo dough pastries were brushed with olive oil

pastries brushed with olive oil (OI)

(5/8)*FD=OI

Using V

(5/8)*M=OI

Using IV

(5/8)*(2/5)*x=OI

(1/4)*x=OI (VI)

pastries brushed with butter (B)

Pastries made out of filo dough are brushed with either olive oil or butter (but not both)

FD=OI+B

B=FD-OI

Using V and VI

B= M - (1/4)*x

Using IV

B = (2/5)*x - (1/4)*x

B= (3/20)*x

3X/20 (option a) of the pastries submitted by Rashid and Mikhail were brushed with butter

5 0

3 years ago

What is the value of m, when 2⁶ x 4 = 418

yaroslaw [1]

Answer:

The answer should be 3.3/4

Step-by-step explanation:

5 0

2 years ago

Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the

LekaFEV [45]

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

8 0

3 years ago

Tell whether a triangle can have sides with lengths 6, 10, and 14. ​

Tell whether a triangle can have sides with lengths 6, 10, and 14.