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Pavlova-9 [17]
3 years ago
15

10x-15=-8x+21 solve this equation

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

You might be interested in
A graduate student majoring in linguistics is interested in studying the number of students in her college who are bilingual. Of
Eddi Din [679]

Answer:

48.41% probability that 17 or fewer of them are bilingual.

Step-by-step explanation:

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:

n = 50, p = \frac{466}{1320} = 0.3530

So

\mu = E(X) = np = 50*0.3530 = 17.65

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.3530*0.6470} = 3.38

Probability that 17 or fewer of them are bilingual.

Using continuity correction, this is P(X \leq 17 + 0.5) = P(X \leq 17.5), which is the pvalue of Z when X = 17.5. So

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

Z = \frac{17.5 - 17.65}{3.38}

Z = -0.04

Z = -0.04 has a pvalue of 0.4841

48.41% probability that 17 or fewer of them are bilingual.

8 0
3 years ago
Find the derivative of 76x + 1 at x = 1.
Murljashka [212]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf   \dashrightarrow \: \dfrac{d}{dx}(76x + 1)

\qquad \sf  \dashrightarrow \:76 {x}^{1 - 1}  + 0

\qquad \sf  \dashrightarrow \:76 {x}^{0}  + 0

\qquad \sf  \dashrightarrow \:76

Here, we have got a constant number, therefore for any value of x it will be 76

Therefore, derivative of 76x + 1 at x = 1 is 76

7 0
2 years ago
Read 2 more answers
Someone help me with this pleaseeee!!!! I need help ASAP pleasee!!!
Katen [24]

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

7 0
2 years ago
Help math asap I need help pls​
harina [27]

Answer:Ana is correct because 8/20=2/5

Step-by-step explanation:

4 0
3 years ago
What is f (x) = 4x + 1; {–4, –2, 0, 2, 4}
Reika [66]

Answer

4x+1

−4,−2,0,2,4

​

Step-by-step explanation:

5 0
2 years ago
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