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3 years ago

4(x - 3) = 1/2x + 2 what is the answer

Mathematics

1 answer:

olga55 [171]3 years ago

6 0

Answer:

x=4

Step-by-step explanation:

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If Haley's ant farm doubles in population, she will have 122 more ants in her farm than Nate does. Haley's ant farm currently ha

xxMikexx [17]

Answer:

238

Step-by-step explanation:

Start with Raven's ants since hers is the one that everyone else's is based off of.

Raven = 208

Haley has half of that plus 76, so

Haley = (208/2) + 76

Haley = 180

If Haley's farm doubles in population, she would have 360 ants. That number is equal to Nate's number + 122. We have an equation of sorts there to solve for Nate's ants:

180(2) = N + 122 so

360 = N + 122 and

N = 238

Nate has 238 ants in his farm.

4 0

3 years ago

A study conducted by a local university found that 25 percent of college freshmen support increased spending on environmental is

AnnyKZ [126]

Answer:

13.18% or 0.1318

Step-by-step explanation:

please see the attached files for explanation

6 0

4 years ago

Helens house is located on a retangular lot that is 1 1/8 miles by 9/10 mile. estimate the distance around the lot.

Pavel [41]

4 1/2 is the exact answer. 5 is the estimate.

7 0

4 years ago

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are in

aleksandrvk [35]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}$

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

$P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\$

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

$E(X)=np=4\cdot0.25=1$

6 0

3 years ago

Simplify 5.5a-1+21b+3a<br> Please help me

tino4ka555 [31]

8.5a-1+21b. :)) sorry

4 0

4 years ago