Someone help me pls

1790.6204<br> 18.5376<br> what is the expanded notation?

Neporo4naja [7]

Answer:

1790.06204 = 1 × 1000 + 7 × 100 + 9 × 10 + 0.6204

18.5376= 1 × 10 + 8 + 0.5376

5 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

These two scalene triangles are similar with a scale of 4:5. What is true about these figures?

disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be $\frac{4}{5}$ not $\frac{5}{4}$ as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be $\frac{c}{f} = 1$ . Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be $\frac{ED}{AB} = \frac{5}{4}$ . Hence option A is correct answer.

Hope it will help :)

6 0

3 years ago

Read 2 more answers

Can anyone rewrite quadratic function in standard form?

kati45 [8]

Answer:

hey I believe standard form would look like this: f(x) = a(x - h)^2 + k

this is regular form f(x)=ax^2+bx+c or something like x^2+4x+4.

I think H and K are the vertex

hope this is close to what your looking for.

Step-by-step explanation:

I think it's x^2+6x-18

4 0

3 years ago

Read 2 more answers

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

Sophie [7]

Hi there! The answer is B.

$5r \leqslant 6r - 8$
Subtract 6r from both sides.

$- r \leqslant - 8$
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

$r \geqslant 8$
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!

3 0

3 years ago