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4 years ago

The sum of 3

Mathematics

1 answer:

Vika [28.1K]4 years ago

8 0

Answer:Four times the first number is three more than three times the second number.

Step-by-step explanation:

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G=ca-b. what is a??????!!!!????

USPshnik [31]

Just rearrange the equation:

G=ca-b
+b +b Add B to get it on the other side
______
G+b=ca
___ __ Divide by c
c c

a = (G+b)/c

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4 years ago

Help with question pls!! Marking brainliest

weeeeeb [17]

Answer:

The answer is C. (5, 1)

Step-by-step explanation:

It takes two vertical downward swoops and one horizontal leftward swoop to get from point G to point F (3 swoops total). If point H was placed at (5, 1), it would take two horizontal leftward swoops and one vertical upward swoop to get from point H to point F (3 swoops total).

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3 years ago

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serg [7]

I believe it’s 20th day

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3 years ago

Suppose that 40% of all adults regularly consume coffee, 55% regularly consume carbonated soda, and 60% regularly consume at lea

MArishka [77]

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3 years ago

in a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the res

Rudik [331]

Answer:

$7-1.796\frac{2.216}{\sqrt{12}}=5.851$

$7+1.796\frac{2.216}{\sqrt{12}}=8.149$

So on this case the 90% confidence interval would be given by (5.851;8.149)

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

Data: 7 8 2 10 6 5 7 8 8 9 5 9

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=7$

The sample deviation calculated $s=2.216$

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

$df=n-1=12-1=11$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,11)".And we see that $t_{\alpha/2}=1.796$

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

$7-1.796\frac{2.216}{\sqrt{12}}=5.851$

$7+1.796\frac{2.216}{\sqrt{12}}=8.149$

So on this case the 90% confidence interval would be given by (5.851;8.149)

3 0

3 years ago