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4 years ago

19. Write an algebraic expression for the phrase: 6 more than the product of 8 and n.

Mathematics

2 answers:

Sveta_85 [38]4 years ago

6 0

(8xn)+6 would be your equation. please mark me as brainiest.

tekilochka [14]4 years ago

5 0

The correct expression is 8n+6

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Select whether the equation has a solution or not.

vredina [299]

Answer: The equation has a solution .

Step-by-step explanation:

Since we have given that

$\sqrt{x+1}=7-2\sqrt{x}$

Squaring on both the sides, we get that,

$x+1=(7-2\sqrt{x})^2\\\\x+1=49+4x-28\sqrt{x}\\\\3x+48-28\sqrt{x}=0$

Let $\sqrt{x}=y\implies x=y^2$

So, our equation becomes,

$3y^2-28y+48=0\\\\y=\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3}\\\\\sqrt{x}=\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3}\\\\x=(\dfrac{14}{3}\pm \dfrac{2\sqrt{13}}{3})^2$

So, $x=\dfrac{248}{9}\pm \dfrac{56\sqrt{13}}{9}$

Hence, the equation has a solution .

4 0

3 years ago

Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 170 people from the U.S. is chosen, approxi

Shalnov [3]

Answer:

0.6064 = 60.64% probability that fewer than 29 are left-handed.

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 distributions 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

16% of the population of the U.S. is left-handed.

This means that $p = 0.16$

Sample of 170 people

This means that $n = 170$

Mean and standard deviation:

$\mu = E(X) = np = 170*0.16 = 27.2$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{170*0.16*0.84} = 4.78$

Probability that fewer than 29 are left-handed.

Using continuity correction, this is P(X < 29 - 0.5) = P(X < 28.5), which is the pvalue of Z when X = 28.5. So

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

$Z = \frac{28.5 - 27.2}{4.78}$

$Z = 0.27$

$Z = 0.27$ has a pvalue of 0.6064

0.6064 = 60.64% probability that fewer than 29 are left-handed.

6 0

3 years ago

3 friends want to go for a hike. (Level 4)They pack enough water to last for 6 hours. 3 more people join the hike.How long will

svlad2 [7]

Answer:

3 hours

Step-by-step explanation:

Because first 3 friends have water that last 6 hours when you double the amount of people you get less water, I don't speak good English to explain but you have to subtract 3 from 6 because 3 is amount of people that need water that lasts 6 hours and when you have more people you get less water sooooo you subtract 3 from 6.

Hope you understand!

7 0

3 years ago

Gant Accounting performs two types of services, Audit and Tax. Gant’s overhead costs consist of computer support, $267000; and l

Dahasolnce [82]

Answer:

$240,300

Step-by-step explanation:

Given :

Overhead cost :

Computer support = $267000

legal support = $133500

Overheads applied to audit services = (Number of CPU minutes used by Audit services * activity rate per CPU minute)

(number of legal hours used by Audit services * activity rate per legal hour)

The overhead applied to audit is thus :

40,000 * (267,000 / (40,000 + 10,000)) +

200 * (133500 / (200 + 800)

(40000 * 5.34) + (200 * 133.5)

= $240,300

7 0

3 years ago

Which symbol creates a true sentence when x equals 3? 52 + (x – 2)2 __ 25

e-lub [12.9K]

Answer:

Step-by-step explanation:

6 0

3 years ago