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3 years ago

5

3.643 x 10^-1 simplify in Standard Form

1 answer:

xeze [42]3 years ago

5 0

Rewrite in Standard Form<span> y-9=-</span>1/2*(x-10). y−9=−1<span>2⋅(x−10) y - 9 = - </span>1<span> 2 ⋅ ( x - 10 ). To write a linear equation in </span>standard form<span>, move each variable term to the left side of the equation and </span>simplify<span>. Ax+By=C A x + B y = C. Move all terms containing variables to the left side of the equation.</span>

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The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginnin

Schach [20]

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that $p = 0.9$ .

Sample of 10

This means that $n = 10$

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

4 0

3 years ago

Expand 4x(7x-11)<br>expand 3x(7-5x)<br>Can someone help me with tge questions above?

melamori03 [73]

<span>( 7 x - 11 )

<span>( 7 - 5x )</span></span>

4 0

4 years ago

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G(x) = x2 – 2 (a) Identify the parent function f.

Temka [501]

Answer:g(x) is flipped and 2 times as steep and shifted left 5

Step-by-step explanation:

6 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1? (1, –1) (0, 0) and (0, –1) (0,

olganol [36]

ANSWER

No solution

EXPLANATION

The first equation is

$y = {x}^{2} - 2x$

and the second equation is

$y = - 2x - 1$

We equate the two equations to obtain;

${x}^{2} - 2x = - 2x - 1$

This implies that

${x}^{2} = - 2x + 2x - 1$

${x}^{2} = - 1$

There is no real number whose square is -1.

Therefore, the equation has no solution.

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3 years ago

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Aleka earns her regular pay or $14 per hour for up to 40 hours of work per week. For each hour over 40 hours of work per week, A

iogann1982 [59]

C. 728

14x40=560
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21x8=168
560+168=728

3 0

2 years ago