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3 years ago

HELP!!! THIS IS IMPORTANT

Mathematics

2 answers:

Olin [163]3 years ago

5 0

I’m pretty sure it’s 3/10 miles per hour

umka2103 [35]3 years ago

4 0

I think it’s 3 1/3 miles per hour

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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo

PIT_PIT [208]

Answer:

The estimate is

$52.02 < \mu < 55.78$

Step-by-step explanation:

From the question we are told that

The sample mean is $\ = x = 53.9$

The sample size is n = 24

The standard deviation is $\sigma = 5.6$

Given that the confidence level is 90% the level of significance is mathematically represented as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table.The value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } = 1.645$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because $\alpha$

represents the area under the normal curve where the confidence level interval ( $1 - \alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{ \sqrt{n} }$

substituting values

$E = 1.645 * \frac{5.6 }{ \sqrt{24} }$

$E = 1.880$

The estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

$\= x - E < \mu < \= x + E$

substituting values

$53.9 - 1.880 < \mu < 53.9 + 1.880$

$52.02 < \mu < 55.78$

5 0

3 years ago

Please help, i dont understand an ounce of this

nignag [31]

Let x be the length of each side of the nonagon. We then split up the nonagon into 9 congruent, isosceles triangles, each with base = x and height = 12. Then the area of each triangle is 1/2 • x • 12 = 6x, so the total area of the nonagon will be 9 • 6x = 54x.

To find x, we can use some facts from geometry and trigonometry.

• In any polygon, the sum of the measures of the exterior angles is 360°. So each of these exterior angles will measure 360°/9 = 40°.

• Exterior angles are supplementary to the interior angles. So each interior angle will measure 180° - 40° = 140°.

• Each of the 9 triangles are isosceles with base angles measuring half the interior angles of the nonagon, 140°/2 = 70°.

• Cut the triangle in half along the labeled inradius of the nonagon, which has length 12. In the resulting right triangle, we have

tan(70°) = 12 / (x/2)

and solving for x gives

tan(70°) = 24/x

x = 24/tan(70°)

x = 24 cot(70°) ≈ 8.7

Then the total area of the nonagon is

54x = 54 • 24 cot(70°) ≈ 471.7

4 0

2 years ago

Find the quotient: a 3 ft 4 in b 3 ft 9 in c 4 ft d 3 ft 8 in

Mekhanik [1.2K]

Answer:

3ft 4in

Step-by-step explanation:

2÷6=3 6÷8=0.75. 2×6=12. 12-6=6 6-2=4 4-1=3 3-1=2

6 0

4 years ago

John's father is 2 m tall how many centimeters is John's father (please let me know!)

Eddi Din [679]

There are 100 cm in a meter, so John's father would be 200 cm tall.

5 0

3 years ago

Jane calculated the circumference of a circle to be 36π. what is the area if the circle

marshall27 [118]

Answer:

103.13

Step-by-step explanation:

A=πr2

C=2πr

A=C2

4π=362

4·π≈103.1324

4 0

3 years ago