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3 years ago

The product of 16 and 4 less than a number is 208. Find the number.

1 answer:

5 0

This is a word problem signifying an algebraic expression.

Translating this to mathematics:

$16x - 4 = 208$

add 4 to both sides.

$16x = 212$

divide 16 to both sides.

$x = \frac{212}{16}$

this is:

$x = 13.25$

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3 years ago

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The sum of the following algebraic expression 2x + 15, 7-8x and 3x - 41 is 30 find the value of x..

Ksju [112]

$\\ \tt \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\ \\ \tt \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\ \\ \tt \longmapsto - 3x - 19 = 30 \\ \\ \tt \longmapsto 3x + 19 = - 30 \\ \\ \tt \longmapsto 3x = - 30 -19 \\ \\ \tt \longmapsto 3x = - 49 \\ \\ \tt \longmapsto x = - \frac{49}{3}$

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3 years ago

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G(x)=2x-8, f(x)=5-g(x) what is the value of f(10)

Rudik [331]

By evaluating the function, we conclude that f(10) = -7

<h3>How to evaluate the function f(x)?</h3>

Here we know that:

g(x) = 2x - 8

And f(x) = 5 - g(x).

Then we can write:

f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13

Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.

f(10) = -2*10 + 13 = -20 + 13 = -7

Then, we conclude that f(10) = 7

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1 year ago

In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability

Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by $P(Z>\frac{(25-27)}{3.29})$

What is the probability of success of a single trial of this experiment?

Options:

0.07
0.56
0.79
0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

$\mu =\frac{np}{\sigma}$ = $\sqrt{np(1-p)}$

now,

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

so,

by comparing with $P(Z>\frac{(25-27)}{3.29})$ , we get:

μ=np=27

$\sigma=\sqrt{np(1-p)}$ =3.29

put np=27

we get:

$\sigma=\sqrt{27(1-p)}$ =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

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3 years ago

The cost (in dollars) in making b bracelets is represented by 4+5b. The cost (in dollars) of making b necklaces is represented b

ddd [48]

Answer:

$P(b)=3b+2$

Step-by-step explanation:

The cost (in dollars) in making b bracelets is represented is

$B(b)=4+5b$

The cost (in dollars) of making b necklaces is

$N(b)=8b+6$

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,

$P(b)=N(b)-B(b)$

$P(b)=8b+6-(4+5b)$

$P(b)=8b+6-4-5b$

$P(b)=3b+2$

This is a polynomial in descending powers of b, hence it is in standard form;

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4 years ago