3 equivalent ratios for : 4/3, 12/14, and 6/9?

1 answer:

8 0

we are asked to determine three equivalent ratios for fractions. in this case, we just have to multiply a number each for the numerator and the denominator. we take, 2,3, and 4 in this case.
4/3: 8/6, 12/9, 16/1212/14: 24/28, 36/42, 48/566/9: 12/18, 18/27, 24/36

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The product of two positive integers us 2005. F neither integer is 1, what is the sum of the two integers?

Brums [2.3K]

Answer:

406

Step-by-step explanation:

Given: product of two positive integers us 2005.

Let the two positive integers be a and b

Now prime factorization of 2005 = 401×5

where both 401 and 5 are prime number and non of them is 1.

So, and b will be 401 and 5 respectively.

Therefore, sum of the two integers a+b = 401+5 = 406

8 0

2 years ago

A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d

Bas_tet [7]

Answer: $(4.0845,\ 6.5755)$

Step-by-step explanation:

As per given , we have

n = 11

$\overline{x}=5.33\\\\ s=1.33$

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

$t_{\alpha/2,\ n-1}=3.106$ [using two-tailed t-value table]

Confidence interval :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)$