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2 years ago

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A previous analysis of paper boxes showed that the the standard deviation of their lengths is 9 millimeters. a packer wishes to

find the 98% confidence interval for the average length of a box. how many boxes does he need to measure to be accurate within 3 millimeters?

1 answer:

maksim [4K]2 years ago

7 0

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Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the form

Korolek [52]

The formula is
A=p e^rt
A future value 1649
P present value 100
R interest rate?
T time 10 years
E constant
Solve the formula for r
R=[log (A/p)÷log (e)]÷t
R=(log(1,649÷100)÷log(e))÷10
R=0.28×100
R=28%

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2 years ago

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Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm.

natali 33 [55]

Answer:

Circumference: 64π

Ratio: 1 : 4

Measure of ∠xoy: π/2

Step-by-step explanation:

We are given an arc length of 16π. Since it's in terms of pi, we use the formula

S = rФ where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)

We are given S = 16π and r = 32, plug those in and find Ф

16π = 32Ф

16π/32 = Ф

π/2 = Ф

This is the measure of the central angle.

The angle is π/2 radians. There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle. (There are 4 halves in 2) so the ratio of the arc length tothe circumference is 1 : 4

The formula for circumference is C = 2πr, where r is the radius, so we hace

C = 2π(32) = 64π

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2 years ago

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Which quantity is proportional to 35⁄80?

gladu [14]

7/16 I hope this helps

7 0

2 years ago

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Simplify 12x to the power of 7 y to the power of 3 divided by 6x to the power of 3 y

Galina-37 [17]

Answer:

2x⁴y²

Step-by-step explanation:

The question gives us the expression;

12x⁷y³ ÷ 6x³y

We are supposed to simplify the expression;

First we could divide the digits;

12 ÷ 6 = 2

Then we divide the like terms;

x⁷ ÷ x³

This means;

$=\frac{x*x*x*x*x*x*x }{x*x*x}$

$= x*x*x*x$

$=x^4$

y³ ÷ y

That is;

$=\frac{y*y*y}{y}$

$=y*y$

$=y^2$

Therefore, the simplified expression will be 2x⁴y²

7 0

2 years ago

Based on his past record, Luke, an archer for a college archeny practice L auke wesent the number on his past record, Luke, an a

polet [3.4K]

Answer:

Option (A) 0.40951

Step-by-step explanation:

We are given the following information in the question:

P(target) = 0.90

Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.

The probability distribution of X is

x: 0 1 2 3 4 5

P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049

The mean of discrete probability distribution is given by:

$\mu = \displaystyle\sum x_iP(x_i)\\\\= 0(0.00001) + 1(0.00045) + 2(0.00810) + 3(0.07290) + 4(0.32805) + 5( 0.59049)\\= 4.5$

Now, we have to evaluate

$P(x$

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.

4 0

2 years ago