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2 years ago

A DVD has a diameter of 26 centimeters. What is the area of the DVD? Round your answer to the nearest hundredth. Use 3.14 for π.

Mathematics

1 answer:

Alinara [238K]2 years ago

7 0

Answer:

A =530.66 cm^2

Step-by-step explanation:

A DVD is a circle so we can use the formula for area of a circle

A = pi r^2

We can find the radius from

r = d/2 where d is the diameter

r = 26/2

r = 13

A = pi *13^2

A = pi *169

Substituting in for pi

A = (3.14) * 169

A =530.66

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Valerie shares some of the 12 candies from this box.she gives her friend 1 candy for every 3 candies she eats herself. How many

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Answer:

Step-by-step explanation:

Every group of candies eaten is 4 candies because Valerie eats 3 and her friend eats 1. 1+3 = 4 . 12/4 = 3

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2 years ago

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Solve the inequality 2x-7>3

Licemer1 [7]

Answer:

x>5

Step-by-step explanation:

2x - 7 > 3

Add 7 to both sides

2x - 7 +7 > 3+7

2x > 10

Divide both sides by 2

2x/2 > 10/2

x > 5

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3 years ago

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Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar

xz_007 [3.2K]

Answer: $\dfrac{1}{4}$

Step-by-step explanation:

Given

The total no of beads is 52

there 13-red,13-blue,13-green, and 13-black

favorable outcomes to select a blue bead is 13

Total outcomes are 52

Probability is given by

$P=\dfrac{\text{favorable}}{\text{Total outcomes}}\\\\\Rightarrow P=\dfrac{13}{52}=\dfrac{1}{4}$

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2 years ago

A Girl Scout camp served half of their granola with breakfast. After dinner, they put the remaining 6{,}250 \text{ g}6,250 g6, c

Iteru [2.4K]

Answer:

12.5 kilograms

Step-by-step explanation:

Given:

Half of the granola served with breakfast.

Let the amount of Granola present initially = $x$ kg

Half of it ( $\frac{x}{2}$ ) served with breakfast, so remaining granola :

$x-\dfrac{x}{2} = \dfrac{x}{2}$

After dinner, the remaining granola 6,250 gm granola was served with yogurt dessert.

First of all, let us convert it to kilogram because the answer is required in Kilograms.

We know that:

1000 gms = 1 kilograms

1 gms = 0.001 kilograms

6250 gms = 6250 $\times$ 0.001 = 6.250 kilograms

Now, as per given question statement:

$\dfrac{x}{2} = 6.250\ kg\\\Rightarrow x = 2 \times 6.250\\\Rightarrow \bold{x = 12.5\ kg}$

So, the answer is:

Girl scout camp started with 12.5 Kilograms of granola.

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3 years ago

Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

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Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

2 years ago