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timofeeve [1]
3 years ago
14

The nth term of a sequence is n + 5 Work out the 5th term of the sequence. 5th term =

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

10

Step-by-step explanation:

Tₙ=n+5

T₅=5+5=10

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An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
PLS SOMEONE HELP ME PLS WITH GEOMETRY
nikklg [1K]

Answer:

They are congruent by SAS

Step-by-step explanation:

MQ=PN

The angles with markings also go together

The line right in the middle is the second side because of the reflexive property

6 0
2 years ago
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a
Elanso [62]
Nice??? there is a city called nice? anyways, your answer is 5000. hope this helps :)
4 0
3 years ago
Read 2 more answers
What is the approximate percent decrease from 1,865 to 1,240?
bearhunter [10]

Answer: 33.5

Step-by-step explanation: this question is on brainly lol but nobody explained it

1865 - 1240 = 625

Divide 625 by 1865 (626 goes first)

The answer is 0.335 move the decimal 2x forward

33.5

4 0
2 years ago
Read 2 more answers
Help with geometry? Will give brainliest!<br> spam answers will be reported
Anastasy [175]
I got 110 because 35+35=70 and 180-70=110. I added 35 to 35 because it says that AB=AD, so they should make congruent angles. So add the 35+35 and work from there.
3 0
2 years ago
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