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Alchen [17]
2 years ago
7

If ten is no more than four times the sum of twice a number and three how do I write and work this for algebra

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
7 0
(2x+3)*4 is less than or equal to 10. For x, the number, you would get x is greater than or equal to -1/4.
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The manager of Petco, a nationwide chain of pet supply stores, wants to study characteristics of the customers, particularly the
shutvik [7]

Answer:

The 95% confidence interval would be given by (19.141;23.538)  

Step-by-step explanation:

1) 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=21.34 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=9.22 represent the sample standard deviation

n=70 represent the sample size  

2) 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=70-1=69

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,69)".And we see that t_{\alpha/2}=1.994

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

21.74-1.994\frac{9.22}{\sqrt{70}}=19.141    

21.74+1.994\frac{9.22}{\sqrt{70}}=23.538

So on this case the 95% confidence interval would be given by (19.141;23.538)    

3 0
3 years ago
K/x=w+v, solve for x
makkiz [27]

Answer:

im pretty sure the answer is (k-w)/v = x

8 0
3 years ago
Help!! Me with my aleks!
Mashcka [7]

Answer:

9x + 36 = 10

Step-by-step explanation:

Given

\frac{3}{4} x + 3 = \frac{5}{6}

Multiply by the lowest common multiple of 4 and 6, that is 12

12 × \frac{3}{4} x + 12 × 3 = 12 × \frac{5}{6}, that is

9x + 36 = 10 ← equation without fractions

5 0
3 years ago
What are the slopes ?
Viefleur [7K]

Answer:

11. is a slope of -7/2

12. is a slope of 4 :)

Step-by-step explanation:

7 0
2 years ago
The gas tank of a riding mower holds 5 liters of gas.How many 5 -liters gas tanks can you fill from a full 20- liter gad can?
aliina [53]

Answer:

4

Step-by-step explanation:

If the gas tank holds 5 liters and you have 20 liters, then 20/5 = 4 times it will fill it up.

8 0
3 years ago
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