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3 years ago

5 1 point 34 is 68% of what number?

Mathematics

1 answer:

Ilya [14]3 years ago

4 0

Answer:

Step-by-step explanation:

Fastest method for calculating 34 is 68 percent of what number. Assume the unknown value is 'Y' 34 = 68% x Y. 34 = 68 / 100 x Y Multiplying both sides by 100 and dividing both sides of the equation by 68 we will arrive at: Y = 3 x 100 / 68. Y = 50%. Answer: 34 is 68 percent of 50

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A random sample of size n1= 25, taken from a normal population with a standard deviation σ1= 5, has a mean X1= 80. A second rand

sesenic [268]

Answer:

The 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

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".

$\bar X_1 =80$ represent the sample mean 1

$\bar X_2 =75$ represent the sample mean 2

n1=25 represent the sample 1 size

n2=36 represent the sample 2 size

$\sigma_1 =5$ sample standard deviation for sample 1

$\sigma_2 =3$ sample standard deviation for sample 2

$\mu_1 -\mu_2$ parameter of interest.

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$ (1)

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =80-75=5$

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.88$

The standard error is given by the following formula:

$SE=\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}}$

And replacing we have:

$SE=\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=1.118$

Confidence interval

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

$5-1.88\sqrt{\frac{5^2}{25}+\frac{3^2}{36}}=2.898$

$5+1.8\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=7.102$

So on this case the 94% confidence interval would be given by $2.898 \leq \mu_1 -\mu_2 \leq 7.102$

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3 years ago

Sally paid for a shirt costing her $18.50. It was on sale for 20% off. What was the original price?

Zinaida [17]

Answer:

14.8

Step-by-step explanation:

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3 years ago

30 POINTS!! Write the slope-intercept form of the equation for the line.

Anton [14]

Answer:

B. $y = -\frac{3}{10}x + \frac{1}{2}$

Step-by-step explanation:

Well slope-intercept form is $y = ax + b$ .

Let's start with the slope.

In this case, finding the slope is easy.

It should have a negative slope.

So we can cross out answer choices A. and C.

Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's

not the slope.

So we can cross out D.

The only answer choice left is B.

We can tell the y-intercept is 1/2 because like come on so B is the correct answer.

B. $y = -\frac{3}{10}x + \frac{1}{2}$

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3 years ago

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There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour.

algol [13]

The answer is y=0.5x+3

There are 3 inches of snow on the ground: y = 3
When it begins to snow 0.5 inches per hour: y = 0.5x
There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour: y = 0.5x + 3

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3 years ago

The number of basic trigonometric ratios is.... A.3 B.4 C.5 D.6

Eddi Din [679]

Answer:

There are three basic trigonometric ratios: sine , cosine , and tangent .

Step-by-step explanation:

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3 years ago

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5 1 point 34 is 68% of what number?​

5 1 point 34 is 68% of what number?