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4 years ago

a circle with a 12-inch diameter is folding in half and then folded in half again what is the area of the resulting shape

Mathematics

1 answer:

andrew-mc [135]4 years ago

7 0

Answer:

3π in^2

Step-by-step explanation:

Area of the circle before folding = π r^2

= 6^2 π

= 36 π is^2

The area of the resulting shape = 1/2 * 1/2 * 12π

= 3 π in^2.

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Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera

hoa [83]

Answer:

The probability is $P(X < 12) = 0.99286$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 12 \ oz$

The standard deviation is $\sigma = 0.1 \ oz$

The sample mean is $\= x = 12.1 \ oz$

The sample size is n = 6 packs

The standard error of the mean is mathematically represented as

$\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{0.1}{\sqrt{6} }$

$\sigma_{\= x } = 0.0408$

Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

$P(X < 12) = P ( \frac{X - \mu }{ \sigma_{\= x }} < \frac{\= x - \mu }{ \sigma_{\= x }} )$

Generally $\frac{X - \mu }{ \sigma_{ \= x }} = Z (The \ standardized \ value \ of \ X )$

$P(X < 12) = P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }} )$

substituting values

$P(X < 12) = P ( Z < \frac{12.2 -12 }{0.0408} )$

$P(X < 12) = P ( Z < 2.45 )$

From the normal distribution table the value of $P ( Z < 2.45 )$ is

$P (Z < 2.45)0.99286$

=> $P(X < 12) = 0.99286$

4 0

3 years ago

4 cm 3 cm x cm area = 19 cm2

statuscvo [17]

Answer:

brbtbrbjrffkfkfkrktkrjj4j4b5b5b5bbtbtvthttht

8 0

3 years ago

Read 2 more answers

The Holt family is purchasing 4 cell phones. Store A sells 3 cell phones that cost $165 each, which includes a fourth phone for

Scilla [17]

Answer:Store A

Step-by-step explanation:

Given

Store A sells 3 cells phones that cost $165 each and offer 4 th one free

i.e. Effective cost of each cell phone is $\frac{165\times 3}{4}=\$ 123.75$

Store B sells each cell phone at $\$ 135$ each

clearly, store A provides a better deal than B because the cost of 4 cell phones is less for Store A i.e.

$\Rightarrow 165\times3$

6 0

3 years ago

(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.

Olin [163]

Answer:

I can't see the picture, sorry. :(

Step-by-step explanation:

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3 years ago

Out of 100 seventh and eighth grade CAVA students there were 35 students that chose Music as their elective course and the rest

frutty [35]

Answer:

| Music | World Language | Total

8th grade | 30 | 35 | 65

7th grade | 5 | 30 | 35

Total | 35 | 65 | 100

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3 years ago