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3 years ago

If t=38.5 and s=31.4 find S. Round to the nearest tenth

Mathematics

2 answers:

zubka84 [21]3 years ago

8 0

Answer:

The correct answer option is C. S = 54.6°.

Step-by-step explanation:

We are given a right angled triangle with two known sides, $s$ and $t$ .

We are to find the value of the angle $S$ .

For that, we will use sine.

$sin S = \frac { s } { t }$

$sin S = \frac { 3 1 . 4 } { 3 8 . 5 }$

$S = sin'0.815$

S = 54.6°

Dima020 [189]3 years ago

6 0

Answer: option c.

Step-by-step explanation:

You need to remember the identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

The inverse of the sine function is arcsine. You need to use this to calculate the angle "S":

$\alpha =arcsin(\frac{opposite}{hypotenuse})$

You know that you need to find the measure of "S" and $t=38.5$ (which is the hypotenuse) and $s=31.4$ (which is the opposite side), then you can substitute values into $\alpha =arcsin(\frac{opposite}{hypotenuse})$

Then, you get:

$S=arcsin(\frac{31.4}{38.5})\\\\S=54.6\°$

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Consider this exponential equation:

ioda

Step-by-step explanation:

F( x ) = 5 (3) ^ x

Y intercept

Let x = 0

f(0) = 5× 3 ^ 0

f(0 = 5 × 1

f(0) = 5

X intercept

let y = o

0 = 5 × 3 ^x

No x intercept/ zero

therefore

Vertical intercept (0; 5)

Domain XER

▪︎this refer to the values of X

4 0

3 years ago

Of 575 broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of ba

chubhunter [2.5K]

Answer:

a) $0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

b) We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

c) For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

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".

$p$ represent the real population proportion of interest

$\hat p =0.68$ represent the estimated proportion

n=575 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Part a

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630$

$0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730$

And the 99% confidence interval would be given (0.630;0.730).

Part b

We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

Part c

For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval are satisfied, so then the results can be assumed for all the population

4 0

4 years ago

I want to see if your are smart and tell me what the answer is 50-(14+12+2(5)+2(2)+3

Solnce55 [7]

The answer is 7. If you follow the order of PEMDAS this is an easy question.

7 0

3 years ago

"If you like rock-n-roll, then you like loud music." What is the converse of this statement?

Jobisdone [24]

Answer:

"If you like loud music, then you like rock-n-roll"

Step-by-step explanation:

we know that

To form the converse of the conditional statement, interchange the hypothesis and the conclusion

In this problem we have

"If you like rock-n-roll, then you like loud music."

The hypothesis is "you like rock-n-roll"

The conclusion is "you like loud music"

interchange the hypothesis and the conclusion

The converse is

"If you like loud music, then you like rock-n-roll"

5 0

3 years ago

14+16+11+2+6+6+15+2+11 And round to the nearest tenth

Liula [17]

Answer:

Step-by-step explanation:

Add the numbers together

5 0

3 years ago

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