Can someone please help me with math.

For the first problem the answer is -5/2

2x−7+10=−2

Step 1: Simplify both sides of the equation.
2x−7+10=−2
2x+−7+10=−2
(2x)+(−7+10)=−2

(Combine Like Terms)
2x+3=−2

Step 2: Subtract 3 from both sides.
2x+3−3=−2−3
2x=−5

Step 3: Divide both sides by 2.
2x/2=−5/2
x=−5/2

Answer:
x= -5/2

3 0

3 years ago

Which of the following limits does not yield an indeterminate form?

djyliett [7]

There are no examples to answer this.

3 0

3 years ago

A recent survey by the New Statesman on British social attitudes asked respondents if they believe that inequality is too large.

Reika [66]

Answer:

(a) The probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b) The probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c) The probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

Step-by-step explanation:

The random variable X can be defined as the number of British citizens who believe that inequality is too large.

The proportion of respondents who believe that inequality is too large is, p = 0.74.

Thus, the random variable X follows a Binomial distribution with parameters n and p = 0.74.

The probability mass function of X is:

$P(X=x)={n\choose x}\ 0.74^{x}(1-0.74)^{n-x};\ x=0,1,2,3...n$

(a)

Compute the probability that in a a sample of six British citizens two believe inequality is too large as follows:

$P(X=2)={6\choose 2}\ 0.74^{2}(1-0.74)^{6-2}\\=15\times 0.5476\times 0.00456976\\=0.03753600864\\\approx 0.0375$

Thus, the probability that in a a sample of six British citizens two believe inequality is too large is 0.0375.

(b)

Compute the probability that in a a sample of six British citizens at least two believe inequality is too large as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-[{6\choose 0}\ 0.74^{0}(1-0.74)^{6-0}]-[{6\choose 1}\ 0.74^{1}(1-0.74)^{6-1}]\\\\=1-[1\times 1\times 0.000308915776]-[6\times 0.74\times 0.0011881376]\\\\=1-0.00031-0.0053\\\\=0.99439\\\\\approx 0.9944$

Thus, the probability that in a a sample of six British citizens at least two believe inequality is too large is 0.9944.

(c)

Compute the probability that in a a sample of four British citizens none believe inequality is too large as follows:

$P(X=0)={4\choose 0}\ 0.74^{0}(1-0.74)^{4-0}\\=1\times 1\times 0.00456976\\=0.00456976\\\approx 0.0046$

Thus, the probability that in a a sample of four British citizens none believe inequality is too large is 0.0046.

8 0

3 years ago