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Dominik [7]
3 years ago
9

How many different ways can you have 50¢ in change using only quarters, dimes and nickels?

Mathematics
1 answer:
aev [14]3 years ago
4 0

I'm pretty sure it's ten.

q = $.25 d = $.10 n = $.05

2q

5d

10n

1q 2d 1n

1q 1d 3n

1q 5n

4d 2n

3d 4n

2d 6n

1d 8n

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A sample of 100 college students is selected from all students registered at a certain college, and it turns out that 38 of them
nasty-shy [4]

Answer:

a.   False

b. True

Step-by-step explanation:

Given that:

The sample size of the college student n = 100

The population of student that participated p = 38

We are to identify from the following statement if it is true or false.

From part a;

It is false since the random samples not indicate the population perfectly. As such we can't conclude that the proportion of students at this college who participate in intramural sports is 0.38.

The statement in part b is true because the sampling variation, random samples also do not indicate the population perfectly but it is close to be 0.38. Thus, it is suitable to conclude that the proportion of students at this college who participate in intramural sports is likely to be close to 0.38, but not equal to 0.38.

7 0
2 years ago
Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.
nadezda [96]

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = \text{cos}^{-1}(0.1786)

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}

\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}

\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

4 0
3 years ago
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Step-by-step explanation:

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2 years ago
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