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const2013 [10]
3 years ago
13

0 = simplified \: fraction" alt="180 \div 460 = simplified \: fraction" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

  • so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


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As a salesperson, you are paid $150 per week plus $5 per sale that you make. This week
tatuchka [14]

Answer:

15 Sales

Step-by-step explanation:

225 - 150 = 75

75 / 5 = 15

6 0
3 years ago
4x-9=6-x please give a step by step explanation
elena55 [62]
4x - 9 = 6 - x
4x + x = 6 + 9
5x = 15
x = 3
5 0
3 years ago
PLZZZ HELP ME!!!!! <br><br>Complete the table for the function f(x) = 2x - 3
Lana71 [14]

Answer:


Step-by-step explanation:

f(x) = 2x - 3

f(-2) = 2(-2) -3 = -4 - 3 = -7

f(-1) = 2(-1) -3 = -2 - 3 = - 5

f(0) = 2(0) -3 = 0 - 3 = -3

f(1) = 2(1) -3 = 2 - 3 = -1

f(2) = 2(2) -3 = 4 - 3 = 1

f(3) = 2(3) -3 = 6 - 3 = 3

4 0
4 years ago
Find the equation of the exponential function represented by the table below:
UNO [17]

Answer:

Step-by-step explanation:

If this is an exponential function, it is of the form

y=a(b)^x  where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate.  To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b.  Just a hint:  If at all possible, choose the coordinate that gives you an x of 0.  You'll see why in a minute.  

I chose the first 2 points from your table: (0, .2) and (1, .8).  Solving first for a:

.2=a(b)^0  The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1.  So our equation then becomes:

.2=a(1) so

a = .2   Easy enough.  

Now use that value along with the other coordinate to solve for b:

.8=.2(b)^1  b to the first is just b, so,

.8 = .2b

Divide both sides by .2 and you'll get that

b = 4

The equation, then, is

y=.2(4)^x which is growth, since the value for b is greater than 1.

5 0
3 years ago
a boat capsized and sank in the lake. based on an assumption of a mean weight of 143 lb, the boat was rated to carry 70 passenge
Alenkinab [10]

The final answer is the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than 143lb is 1.0000.

A normal distribution is a continuous data distribution with a bell-shaped curve. The normally distributed random variable X has mean $\mu$ and standard deviation $\sigma$.

In addition, the standard normal distribution represents a normal curve with a mean of zero and a standard deviation of one.

The number of standard deviations an element deviates from the mean is indicated by a standardized Z-score.

What is the theorem of the central limit?

  • If the sample size from the population is sufficiently large and has a finite variance, the mean of all samples taken will be approximately the same as the population mean. And the variance would be the population variance divided by the sample size. In addition, the sampling distribution would be roughly normal.
  • The formula for sampling distribution of the sample mean is $\mu_{\bar{x}}=\mu$
  • The formula for standard deviation of the sample mean is,\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}
  • Here, $\sigma$ is the population standard deviation and n is the sample size.
  • The formula for standard z-score is,

z=\frac{\bar{x}-\mu_{x}}{\frac{\sigma}{\sqrt{n}}}

  • From the given information,Population mean, $\mu=171$,Population standard deviation, $\sigma=37.7$,Sample size, n=70
  • Compute the probability that the boat is overloaded because the mean weight of the 70 passengers is greater than $143l \mathrm{~b}$.

$$\begin{aligned}P(\bar{X} > 143) &=P\left(\frac{\bar{X}-\mu}{\sigma / \sqrt{n}} > \frac{143-171}{37.7 / \sqrt{70}}\right) \\&=P(Z > -6.21) \\&=1-P(Z < -6.21) \text { (Use the Excel function NORMSDIST(-6.21)) } \\&=1-0.0000 \\&=1.0000\end{aligned}$$

To learn more about standard deviation visit:

brainly.com/question/16555520?

#SP4

4 0
2 years ago
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