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3 years ago

Whats the value of x?

Mathematics

1 answer:

Paul [167]3 years ago

4 0

Answer:

6.92820323=x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = x /8

8 sin 60 = x

6.92820323=x

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In a clinical trial of 268 subjects treated with a drug, 11% of the subjects reported dizziness. The margin of error is plus o

Mariulka [41]

Answer:

$\hat p =0.11$ represent the proportion estimated of subjects reported with dizziness

n = 268 represent the random sample selected

$\hat q = 1-\hat p = 1-0.11= 0.89$ represent the proportion of subjects No reported with dizziness

E= 0.04 = 4% represent the margin of error for the confidence interval

$\alpha= 1-0.90 =0.1$ and this value represent the significance level of the test or the probability of error type I

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".

The population proportion have the following distribution

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

Solution to the problem

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

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

The margin of error is given by:

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

$Lower= 0.11-0.04 = 0.07$

$Upper= 0.11+0.04 = 0.15$

And for this case we have the following info:

$\hat p =0.11$ represent the proportion estimated of subjects reported with dizziness

n = 268 represent the random sample selected

$\hat q = 1-\hat p = 1-0.11= 0.89$ represent the proportion of subjects No reported with dizziness

E= 0.04 = 4% represent the margin of error for the confidence interval

$\alpha= 1-0.90 =0.1$ and this value represent the significance level of the test or the probability of error type I

4 0

3 years ago

You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to i

Pavlova-9 [17]

Answer: 1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3 12ft 3in = 12 3/12 or reduced to 12 1/4 The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3 P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft = 29 7/12 divided by 8= 3.7 You are not buying a fraction of a board so you would need 4 boards.

7 0

3 years ago

Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) −3, −23, −43, −63, ...

vekshin1

1) Yes, it is arithmetic, the common difference is -3. To find this, subtract any number from the number after it.

32 - 35 = -3

2) yes, it is arithmetic, the common difference is -20. To find this, subtract any number from the number after it.

-23 - -3 = -20

3) yes, it is arithmetic, the common difference is -30. To find this, subtract any number from the number after it.

-64 - -34 = -30

4) yes, it is arithmetic, the common difference is -10. To find this, subtract any number from the number after it.

-40 - -30 = -10

yes, it is arithmetic, the common difference is -2. To find this, subtract any number from the number after it.

-9 - -7 = -2

yes, it is arithmetic, the common difference is 5. To find this, subtract any number from the number after it.

14 - 9 = 5

4 0

3 years ago

Explain all parts of the equation y=mx+b <br><br> *will mark brainliest*

saul85 [17]

Answer:

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and b is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named as the "slope-intercept form".The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The slope m of this line shows its steepness, or slant - It can be calculated like this:

m = change in y-value /change in x-value

The equation of any straight line, called a linear equation, can be written as: y = mx + b ....

6 0

3 years ago

Describe fully the single transformation that takes shape P to the shape Q

Fantom [35]

Answer:

Enlargement by a scale factor of 3 centre (1,0)

Step-by-step explanation:

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3 years ago

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