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3 years ago

Ill mark brainly if its correct. :) a,b,c, or d. answer quick please

Mathematics

1 answer:

Sphinxa [80]3 years ago

8 0

Answer:

Step-by-step explanation:

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The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with a standard deviation of

juin [17]

Answer:

I 90%(μ)= [69.648;71.951]

Step-by-step explanation:

The confidence interval formula is:

I (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqr(n)]

alpha= is the proposition of the distribution tails that are outside the confidence interval. In this case, 10% because 100-90%

Z(5%)= is the critical value of the standardized normal distribution. In this case is 1.645

σ= standard deviation. In this case 2.8 inches

mean= 70.8 inches

n= number of observations

Then, the confidence interval (90%):

I 90%(μ)= 70.8+- [1.645*(2.8/sqr(16))

I 90%(μ)= 70.8+- [1.1515)

I 90%(μ)= [70.8-1.1515;70.8+1.1515]

I 90%(μ)= [69.6485;71.9515]

I 90%(μ)= [69.648;71.951]

3 0

3 years ago

4) f(x) = 2x + 8, g(x)=6x + 6<br> Find (f. g)(x).

LiRa [457]

F x G (x)

(2x + 8) x (6x + 6)

12x^2 + 12x + 48x + 48

12x^2 + 60x + 48

x^2 + 5x + 4 (Answer)

Hope this helps

3 0

4 years ago

A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assu

gavmur [86]

Answer:

b. 98

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$M = 0.5, \sigma = 3$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.645*\frac{3}{\sqrt{n}}$

$0.5\sqrt{n} = 4.935$

$\sqrt{n} = 9.87$

$n = 97.42$

So a sample of at least 98 is required.

The correct answer is:

b. 98

5 0

3 years ago

Calculate the volume of the pyramid shown with measurements a = 3, b = 7, and c = 9.63 units348 units331.5 units330 units3

Yuri [45]

The volume of a pyramid is given by:

$V=\frac{1}{3}\cdot A_b\cdot h\text{.}$

Where:

• Ab is the area of the base,

• h is the height.

In this case, we have:

• a = 3 units,

• b = 7 units,

• c = 9 units,

• Ab = b * c,

• h = a = 3 units.

Replacing the data in the formula above, we get:

$V=\frac{1}{3}\cdot(b\cdot c)\cdot a=\frac{1}{3}\cdot(7\text{ units}\cdot9\text{ units})\cdot3\text{ units }=63units^3\text{.}$

Answer: 63 units³

5 0

1 year ago

King mattress purchases sleep-n-air mattresses from three different distributors. the probability of getting a defective mattres

valina [46]

0.18 / (0.18 + 0.12 + 0.54) =
0.18 / 0.84 =
0.2143 <=

3 0

3 years ago