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3 years ago

4 / 7 * 2 / 3 * *9/16

1 answer:

4 0

$\bf \cfrac{4}{7}\cdot \cfrac{2}{3}\cdot \cfrac{9}{16}\implies \cfrac{4}{16}\cdot \cfrac{9}{3}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}\cdot \cfrac{3}{1}\cdot \cfrac{2}{7}\implies \cfrac{1}{7}\cdot \cfrac{3}{1}\cdot \cfrac{2}{4}\implies \cfrac{1}{7}\cdot \cfrac{3}{1}\cdot \cfrac{1}{2}\\\\\\\cfrac{1\cdot 3\cdot 1}{7\cdot 1\cdot 2}\implies \cfrac{3}{14}$

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep

katrin [286]

<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

$P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

$P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063$

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : $\mu=np= (2500)(0.03)=75$

The expected value = 75

Standard deviation : $\sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53$

The standard deviation = 8.53

6 0

3 years ago

En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.

TiliK225 [7]

Answer:

La medida del tercer ángulo interno es 85°.

Step-by-step explanation:

Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.

En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:

θ + 40° + 55°= 180°

Resolviendo:

θ + 95°= 180°

θ= 180° - 95°

θ=85°

<u><em>La medida del tercer ángulo interno es 85°.</em></u>

3 0

2 years ago

Please answer this question!!

HACTEHA [7]

Yes it is I’m not sure tho the other person will help

7 0

3 years ago

Read 2 more answers

A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this proble

Katyanochek1 [597]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

$Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\$