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2 years ago

In the solution of the equation 5 + 3x = -2x + 9, 2x is added to the equation first. Which of the following should be done next?

Mathematics

1 answer:

puteri [66]2 years ago

5 0

You should subtract 5 from both sides next.

Adding 2x to both side will give you the following.

5 + 5x = 9

And since you got all the variable terms to the left, you want all the constant terms to the right. You do that by subtracting 5 from both sides. This gives you the below statement.

5x = 4

You can then divide to solve.

x = 4/5 or .8

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The number of bacteria in a culture is expected to grow 82% per hour over the next several hours. The predicted change in the nu

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If my simplification is valid the answer is:

1.4 % growth each minute

I don’t feel like the representation
P = 120(1.82) is important in this certain problem.

So P the predicted number of bacteria is not practical with this problem.

Use the 82% per hour and divide it by 60 because there are 60 minutes in an hour.

When doing this you find the rate in which bacteria grows which is about 1.4%.

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1 year ago

What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i

Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

Step-by-step explanation:

The question is incomplete:

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions?

We can model this as a binomial random variable, with p=0.57 and n=14.

$P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}$

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

$P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\$

$P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\$

$P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\$

$P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886$

7 0

2 years ago

Suzanne wants to put a fence around her square garden. If the garden covers an area of 64 ft^2, how many feet of fencing does sh

Art [367]

Answer:

32 feet of fence

Step-by-step explanation:

The garden is a square, so the length and width are equal.

A = L x W

W = L

A = W²

A = 64

W² = 64

W = √64 = ±8 -- (-8) would be extraneous

W = 8 ft

L = 8ft

Since she is putting the fence around the garden, she needs to find the perimeter.

P = 2L + 2W

P = 2(8) + 2(8)

P = 16 + 16

P = 32 ft

32 feet of fence

8 0

2 years ago