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3 years ago

LCM of 14 and 49? Evaluate plz

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

5 0

Answer:

Step-by-step explanation:

Express the numbers in terms of the product of their prime factors

14 = 2 × 7

49 = 7 × 7 = 7²

Choose the factors which occur most often between the 2 numbers

LCM = 2 × 7² = 2 × 49 = 98

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I want to know which of two manufacturing methods will be better. I create 10 prototypes using the first process and 10 using th

77julia77 [94]

Answer: (-0.620, 0.220)

Step-by-step explanation:

The formula to find the confidence interval for the difference in true proportion of the two groups. is given by :-

$\hat{p}_1-\hat{p}_2\pm z^* \sqrt{\dfrac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\dfrac{\hat{p}_2(1-\hat{p}_2)}{n_2}}$

, where $n_1$ = Sample size for first group.

$n_2$ = Sample size for second group.

$\hat{p}_1$ = Sample proportion for first group.

$\hat{p}_2$ = Sample proportion for second group.

z* = critical z-value.

Let first group be "group of prototypes by first process " and second group be "group of prototypes by second process".

$p_1$ = Proportion of defectives in the first batch.

$p_2$ = Proportion of defectives in the second batch.

From question , we have

$n_1=10$ , $n_2=10$ , $\hat{p}_1=\dfrac{3}{10}=0.3$ , $\hat{p}_2=\dfrac{5}{10}=0.5$

By z-table , Critical value for 95% confidence interval is z* =1.96.

Substitute all values in formula , we get

$0.3-0.5\pm (1.96)\sqrt{\dfrac{0.3(1-0.3)}{10}+\dfrac{0.5(1-0.5)}{10}}$

$-0.2\pm (1.96)\sqrt{0.021+0.025}$

$-0.2\pm (1.96)\sqrt{0.046}$

$-0.2\pm (1.96)(0.21448)$

$-0.2\pm 0.4203808$

$=(-0.2-0.4203808,\ -0.2+0.4203808)\\\\=(-0.6203808,\ 0.2203808)\\\\\approx(-0.620,\ 0.220)$

Hence, a 95% confidence interval for the difference in the proportion of defectives is (-0.620, 0.220).

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4 years ago

Sebuah kubus memiliki volume 1.331 cm³ panjang rusuk kubus adalah

Natali5045456 [20]

Menjawab:

1.1 cm

Penjelasan langkah demi langkah:

Volume kubus, V = a³

Dimana a = panjang sisi kubus

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Panjang sisi 'a' adalah:

V = a³

1,331 = a³

Ambil akar pangkat tiga dari kedua sisi

(1,331) ⅓ = a

a = 1,1 cm

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LCM of 14 and 49? Evaluate plz​

LCM of 14 and 49? Evaluate plz