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3 years ago

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Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

The lateral Surface area of the cylinder is 162.2 cm².

The lateral Surface area of the triangular prism is 226.6 cm².

Step-by-step explanation:

To find the lateral Surface area of the cylinder :

The given information are,

The height of the cylinder, h = 12.3 cm.
The diameter of the cylinder, d = 4.2 cm.
The radius of the cylinder, r = d/2

⇒ r = 4.2 ÷ by 2

⇒ r = 2.1 cm

∴ The radius is 2.1 cm

The lateral Surface area of the cylinder = 2πrh

⇒ 2 × π × 2.1 × 12.3

⇒ 51.66 π

We know the default value of π is 3.14

⇒ 51.66 × 3.14

⇒ 162.2 cm²

To find the lateral Surface area of the prism :

The given information are,

The height of the prism, h = 10.3 cm.
The three bases of the prism are b1 = 8 cm, b2 = 8 cm, b3 = 6 cm.

The lateral Surface area of the triangular prism = (b1+b2+b3)×h

⇒ (8+8+6) × 10.3

⇒ 22 × 10.3

⇒ 226.6 cm²

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

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Step-by-step explanation:

Data given and notation

n=180 represent the random sample taken

X=115 represent the adults with the medication was effective

$\hat p=\frac{115}{180}=0.639$ estimated proportion of adults with the medication was effective

$p_o=0.65$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:

Null hypothesis: $p \geq 0.65$

Alternative hypothesis: $p < 0.65$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.639 -0.65}{\sqrt{\frac{0.65(1-0.65)}{180}}}=-0.309$

Statistical decision

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Since is a left tailed test the p value would be:

$p_v =P(z$

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3 years ago

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Answer:

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To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

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Step-by-step explanation:

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2 years ago

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Hi there!

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A linear function is modeled by:

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In which:

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