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RUDIKE [14]
3 years ago
12

Evaluate 13 - 0.75w + 8z when w = 12 and x = 1/2

Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:8

Step-by-step explanation:

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Sam practices his guitar for 9 hours each week he practices each song for 3 1/2 hours. What is the greatest number of song he ca
liberstina [14]

Answer:

<em>The greatest number of song he can practice in a week is  2.</em>

Step-by-step explanation:

Suppose, the greatest number of song he can practice in a week is  x

He practices each song for 3\frac{1}{2} hours. So, the total time required for practicing x number of songs = (3\frac{1}{2}*x) hours.

Given that, he practices his guitar for 9 hours each week.

So, the equation will be......

3\frac{1}{2}*x= 9\\ \\ x= 9\div 3\frac{1}{2}\\ \\ x=9\div \frac{7}{2}=9 \times \frac{2}{7}=\frac{18}{7}= 2.571.... \approx 2

<em>(Rounded as the greatest whole number)</em>

Thus, the greatest number of song he can practice in a week is  2.

4 0
2 years ago
Read 2 more answers
How to calculate the percentage?
miv72 [106K]

\:  \:  \:  \:  \:

  1. <u>How to calculate percentage of a number. Use the percentage formula: P% * X = Y</u>

  1. <u>Convert the problem to an equation using the percentage formula: P% * X = Y.</u>
  2. <u>P is 10%, X is 150, so the equation is 10% * 150 = Y.</u>
  3. <u>Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.</u>

  • <u>Multiply by 100 and add a percentage </u><u>sign</u>
  • <u>0.876 = 0.876 * 100 = 87.6%</u>

<h2><u>hope</u><u> it</u><u> helps</u></h2>
7 0
2 years ago
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
In figure above, if l1 | | l2 then value of x is:<br> a) 40°<br> b) 50°<br> c) 80°<br> d) 100°
cupoosta [38]

Answer:

its letter c so 80

Step-by-step explanation:

I hope this help

3 0
2 years ago
Suppose a spherical balloon grows in such a way that after t seconds, its volume is V = 4 sqrt(t) cm3. What is the volume of the
Arisa [49]
:<span>  </span><span>You need to know the derivative of the sqrt function. Remember that sqrt(x) = x^(1/2), and that (d x^a)/(dx) = a x^(a-1). So (d sqrt(x))/(dx) = (d x^(1/2))/(dx) = (1/2) x^((1/2)-1) = (1/2) x^(-1/2) = 1/(2 x^(1/2)) = 1/(2 sqrt(x)). 

There is a subtle shift in meaning in the use of t. If you say "after t seconds", t is a dimensionless quantity, such as 169. Also in the formula V = 4 sqrt(t) cm3, t is apparently dimensionless. But if you say "t = 169 seconds", t has dimension time, measured in the unit of seconds, and also expressing speed of change of V as (dV)/(dt) presupposes that t has dimension time. But you can't mix formulas in which t is dimensionless with formulas in which t is dimensioned. 

Below I treat t as being dimensionless. So where t is supposed to stand for time I write "t seconds" instead of just "t".

Then (dV)/(d(t seconds)) = (d 4 sqrt(t))/(dt) cm3/s = 4 (d sqrt(t))/(dt) cm3/s = 4 / (2 sqrt(t)) cm3/s = 2 / (sqrt(t)) cm3/s. 

Plugging in t = 169 gives 2/13 cm3/s.</span>
4 0
3 years ago
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