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2 years ago

Write the following ratio as a fraction in lowest terms 55 to 50

Mathematics

1 answer:

lakkis [162]2 years ago

8 0

Answer:

11/10

Step-by-step explanation:

divide both the terms of 55 & 50 with 5: like this ⬇️

put it in the fraction form: ⬇️

I hope this information helps.

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Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/

SVEN [57.7K]

Given $p,q>0$ and $\log_9p=\log_{12}q=\log_{16}(p+q)=x$ (say).

Then,

$p=9^x\\ q=12^x\\ p+q=16^x$

From the above 3 equations,

$\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\$

From the equations, we get

$\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}$

Since $p,q>0$ , the negative value is rejected.

$\frac{q}{p}=\frac{1 + \sqrt{5}}{2}$

3 0

3 years ago

In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

Leviafan [203]

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

$X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}$

$= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}$

$= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}$

$= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}$

$= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}$

= 0.0087999

≅ 0.0088

5 0

2 years ago

Jeff decided to paint some of the rooms in his hotel he found out that one room required to five cans of paint if Jeff by 14 can

Vladimir79 [104]

Answer:

i think the answer is 2 rooms because if 5 only goes in 14 two times then that would be your answer

8 0

2 years ago

How do you find 79% of 32

liubo4ka [24]

Convert 79% to a decimal which is .79

Then you multiply .79 by 32 which is 25.28

Your answer is 25.28

5 0

2 years ago

How will adding the value 75 affect the mean and median of the data set 1, 5, 7, 9 , 9, 10? * A. The median increases less than

padilas [110]

The answer is A.
Hope this helps!

3 0

2 years ago