Please find the value of x please

Identify the factors of 13m-2n

scZoUnD [109]

The factors of 13m are 13 and m and it goes the same with 2n hope that helps.

3 0

4 years ago

Read 2 more answers

What is the scientific notation of 0.00165?

Ierofanga [76]

Answer:

The answer is $1.65*10^{-3}$

Step-by-step explanation:

when writing scientific notation, there must be one number to the left of the decimal point.

To achieve this in this problem, you need to move the decimal point 3 times to the right.

because you are moving the point to the right, the exponent will be negative.

*rule of thumb: moving the decimal to the left will give you a positive exponent, moving to the right will give you a negative exponent*

therefore you answer should be written as:

$1.65*10^{-3}$

hope this helps :)

6 0

3 years ago

The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,

horsena [70]

Answer:

The mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

Step-by-step explanation:

We are given that records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.

On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Assuming that data follows normal distribution.

Let $\bar X$ = sample mean time

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean time = 16.2 minutes

$\sigma$ = standard deviation = 3.4 minutes

n = sample size = 35 oil changes

Now, the mean oil-change time that would there be a 10% chance of being at or below is given by;

P(X $\leq$ x) = 0.10 {where x is required mean oil-change time}

P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ ) = 0.10

P(Z $\leq$ $\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ ) = 0.10

Now, in the z table the critical value of X which represents the below 10% of the probability area is given as -1.282, that means;

$\frac{x-16.2}{\frac{3.4}{\sqrt{35} } }$ = -1.282

x - 16.2 = $-1.282 \times {\frac{3.4}{\sqrt{35} } }$

x = 16.2 - 0.74 = 15.46 minutes

Hence, the mean oil-change time that would there be a 10% chance of being at or below is 15.46 minutes.

8 0

3 years ago

-1/2 divided by 1 3/4 as a fraction in simplest form

Helen [10]

$\Large\textsf{\textbf{Answer\;:}}}$

$\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}$

$\Large\textsf{\textbf{Calculations\::}}$

$-\displaystyle\frac{1}{2} :1\frac{3}{4}$

First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .

Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .

So now our maths problem looks as follows :

$-\displaystyle\frac{1}{2} :\frac{7}{4}$