I need help solving this

836.45 write in words

Sindrei [870]

Answer: $Eight\ hundred\ thirty-six\ and\ forty-five\ hundredths$

Step-by-step explanation:

The exercise provides you the following decimal number:

$836.45$

In order to write this decimal number in words, you need to follow these steps:

1. Write the digits to the left of the decimal point as a Whole number. This is:

$Eight\ hundred\ thirty-six$

2. The decimal point is written in words as "and".

3. Write the digits to the right of the decimal point as a Whole number and then write the place name of the last digit located on the right of the decimal point. Then, this is:

$Forty-five\ hundredths$

Therefore, $836.45$ in words is:

$Eight\ hundred\ thirty-six\ and\ forty-five\ hundredths$

5 0

4 years ago

A production process produces 2% defective parts. A sample of nine parts from the production process is selected. What is the pr

Natasha_Volkova [10]

Answer:

a. .0125

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. 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.

2% defective parts.

This means that $p = 0.02$

A sample of nine parts from the production process is selected.

This means that $n = 9$

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2).

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

$P(X = 2) = C_{9,2}.(0.02)^{2}.(0.98)^{7} = 0.0125$

0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.

8 0

3 years ago

Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10

PilotLPTM [1.2K]

Solving   <span>8x-5y=10 for y helps us to identify the y-intercept:

-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>

4 0

3 years ago

Joan puts $400 into a bank account. Each year the account earns 7% simple interest. How much interest will be earned in four yea

Sladkaya [172]

$60

400 ÷ 7 = 57. 1428571429

Since that's not an option we estimate it. The closest number is $60 so, there's your answer!

I hope this helps! sorry if it's wrong :(

~ Kana ^^

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B7%7D%20%2B%5Cfrac%7B4%7D%7Bx-8%7D" id="TexFormula1" title="\frac{3}{x+7}

sattari [20]

{7x+4}/{x^2-x-56}

using common denominators

6 0

2 years ago